diff --git a/constantine/io/io_ec.nim b/constantine/io/io_ec.nim
index de3c578..c548ef2 100644
--- a/constantine/io/io_ec.nim
+++ b/constantine/io/io_ec.nim
@@ -9,6 +9,8 @@
 import
   ./io_bigints, ./io_fields, ./io_towers,
   ../config/curves,
+  ../arithmetic,
+  ../towers,
   ../elliptic/[
     ec_weierstrass_affine,
     ec_weierstrass_projective
@@ -48,11 +50,23 @@ func toHex*(P: ECP_SWei_Proj): string =
   result &= "\n)"
 
 func fromHex*(dst: var ECP_SWei_Proj, x, y: string): bool {.raises: [ValueError].}=
-  ## Convert hex strings to a curve point
+  ## Convert hex strings to a G1 curve point
   ## Returns `false`
   ## if there is no point with coordinates (`x`, `y`) on the curve
   ## In that case, `dst` content is undefined.
+  static: doAssert dst.F is Fp, "dst must be on G1, an elliptic curve over 𝔽p"
   dst.x.fromHex(x)
   dst.y.fromHex(y)
   dst.z.setOne()
   return bool(isOnCurve(dst.x, dst.y))
+
+func fromHex*(dst: var ECP_SWei_Proj, x0, x1, y0, y1: string): bool {.raises: [ValueError].}=
+  ## Convert hex strings to a G2 curve point
+  ## Returns `false`
+  ## if there is no point with coordinates (`x`, `y`) on the curve
+  ## In that case, `dst` content is undefined.
+  static: doAssert dst.F is Fp2, "dst must be on G2, an elliptic curve over 𝔽p2"
+  dst.x.fromHex(x0, x1)
+  dst.y.fromHex(y0, y1)
+  dst.z.setOne()
+  return bool(isOnCurve(dst.x, dst.y))
diff --git a/constantine/io/io_towers.nim b/constantine/io/io_towers.nim
index 66a4c11..4b01504 100644
--- a/constantine/io/io_towers.nim
+++ b/constantine/io/io_towers.nim
@@ -46,3 +46,10 @@ func toHex*(f: Fp2 or Fp6 or Fp12, order: static Endianness = bigEndian): string
   ## CT:
   ##   - no leaks
   result.appendHex(f, order)
+
+func fromHex*(dst: var Fp2, c0, c1: string) {.raises: [ValueError].}=
+  ## Convert 2 coordinates to an element of 𝔽p2
+  ## with dst = c0 + β * c1
+  ## β is the quadratic non-residue chosen to construct 𝔽p2
+  dst.c0.fromHex(c0)
+  dst.c1.fromHex(c1)
diff --git a/sage/testgen_bn254_snarks.sage b/sage/testgen_bn254_snarks.sage
index 9afd828..34b49f4 100644
--- a/sage/testgen_bn254_snarks.sage
+++ b/sage/testgen_bn254_snarks.sage
@@ -13,35 +13,37 @@
 # ############################################################
 
 # Parameters
-u = Integer('0x44E992B44A6909F1')
-p = 36*u^4 + 36*u^3 + 24*u^2 + 6*u + 1
-r = 36*u^4 + 36*u^3 + 18*u^2 + 6*u + 1
+x = Integer('0x44E992B44A6909F1')
+p = 36*x^4 + 36*x^3 + 24*x^2 + 6*x + 1
+r = 36*x^4 + 36*x^3 + 18*x^2 + 6*x + 1
 cofactor = 1
 
 # Finite fields
-F       = GF(p)
-K2.<u>  = PolynomialRing(F)
-# F2.<beta>  = F.extension(u^2+9)
-# K6.<v>  = PolynomialRing(F2)
-# F6.<eta>  = F2.extension(v^3-beta)
+Fp       = GF(p)
+K2.<u>  = PolynomialRing(Fp)
+Fp2.<beta>  = Fp.extension(u^2+1)
+# K6.<v>  = PolynomialRing(Fp2)
+# Fp6.<eta>  = Fp2.extension(v^3-Fp2([9, 1]))
 # K12.<w> = PolynomialRing(F6)
-# K12.<gamma> = F6.extension(w^2-eta)
+# K12.<gamma> = Fp6.extension(w^2-eta)
 
 # Curves
 b = 3
-G1 = EllipticCurve(F, [0, b])
-# G2 = EllipticCurve(F2, [0, b/beta])
+SNR = Fp2([9, 1])
+G1 = EllipticCurve(Fp, [0, b])
+G2 = EllipticCurve(Fp2, [0, b/SNR])
 
 # Test generator
 set_random_seed(1337)
 
+print('=========================================')
+print('G1 vectors: ')
 for i in range(10):
-    print('---------------------------------------')
     P = G1.random_point()
     (Px, Py, Pz) = P
     print('Px: ' + Integer(Px).hex())
     print('Py: ' + Integer(Py).hex())
-    print('Pz: ' + Integer(Pz).hex())
+    # print('Pz: ' + Integer(Pz).hex())
     exponent = randrange(r) # Pick an integer below curve order
     print('scalar: ' + Integer(exponent).hex())
 
@@ -49,7 +51,30 @@ for i in range(10):
     (Qx, Qy, Qz) = Q
     print('Qx: ' + Integer(Qx).hex())
     print('Qy: ' + Integer(Qy).hex())
-    print('Qz: ' + Integer(Qz).hex())
+    # print('Qz: ' + Integer(Qz).hex())
+    print('---------------------------------------')
+print('=========================================')
+print('G2 vectors: ')
+
+for i in range(10):
+    P = G2.random_point()
+    (Px, Py, Pz) = P
+    vPx = vector(Px)
+    vPy = vector(Py)
+    # Pz = vector(Pz)
+    print('Px: ' + Integer(vPx[0]).hex() + ' + β * ' + Integer(vPx[1]).hex())
+    print('Py: ' + Integer(vPy[0]).hex() + ' + β * ' + Integer(vPy[1]).hex())
+
+    exponent = randrange(r) # Pick an integer below curve order
+    print('scalar: ' + Integer(exponent).hex())
+
+    Q = exponent * P
+    (Qx, Qy, Qz) = Q
+    Qx = vector(Qx)
+    Qy = vector(Qy)
+    print('Qx: ' + Integer(Qx[0]).hex() + ' + β * ' + Integer(Qx[1]).hex())
+    print('Qy: ' + Integer(Qy[0]).hex() + ' + β * ' + Integer(Qy[1]).hex())
+    print('---------------------------------------')
 print('=========================================')
 
 # CurveOrder sanity check
diff --git a/tests/t_ec_sage_bn254.nim b/tests/t_ec_sage_bn254.nim
index 6b2568b..ebdd8a9 100644
--- a/tests/t_ec_sage_bn254.nim
+++ b/tests/t_ec_sage_bn254.nim
@@ -12,6 +12,7 @@ import
   # Internals
   ../constantine/config/[common, curves],
   ../constantine/arithmetic,
+  ../constantine/towers,
   ../constantine/io/[io_bigints, io_ec],
   ../constantine/elliptic/[ec_weierstrass_projective, ec_scalar_mul, ec_endomorphism_accel],
   # Test utilities
@@ -53,7 +54,7 @@ proc test(
     doAssert: bool(Q == impl)
     doAssert: bool(Q == endo)
 
-suite "Scalar Multiplication: BN254 implementation vs SageMath" & " [" & $WordBitwidth & "-bit mode]":
+suite "Scalar Multiplication G1: BN254 implementation vs SageMath" & " [" & $WordBitwidth & "-bit mode]":
   # Generated via sage sage/testgen_bn254_snarks.sage
   test(
     id = 1,
@@ -154,3 +155,179 @@ suite "Scalar Multiplication: BN254 implementation vs SageMath" & " [" & $WordBi
     Qx = "305d7692b141962a4a92038adfacc0d2691e5589ed097a1c661cc48c84e2b64e",
     Qy = "bafa230a0f5cc2fa3cf07fa46312cb724fc944b097890fa60f2cf42a1be7963"
   )
+
+proc test(
+       id: int,
+       EC: typedesc[ECP_SWei_Proj],
+       Px0, Px1, Py0, Py1: string,
+       scalar: string,
+       Qx0, Qx1, Qy0, Qy1: string
+     ) =
+
+  test "test " & $id:
+    var P: EC
+    let pOK = P.fromHex(Px0, Px1, Py0, Py1)
+    doAssert pOK
+
+    var Q: EC
+    let qOK = Q.fromHex(Qx0, Qx1, Qy0, Qy1)
+
+    let exponent = BigInt[EC.F.C.getCurveOrderBitwidth()].fromHex(scalar)
+    var exponentCanonical: array[(exponent.bits+7) div 8, byte]
+    exponentCanonical.exportRawUint(exponent, bigEndian)
+
+    var
+      impl = P
+      reference = P
+      endo = P
+      scratchSpace: array[1 shl 4, EC]
+
+    impl.scalarMulGeneric(exponentCanonical, scratchSpace)
+    reference.unsafe_ECmul_double_add(exponentCanonical)
+    # endo.scalarMulGLV(exponent) # TODO GLV+GLS on G2
+
+    doAssert: bool(Q == reference)
+    doAssert: bool(Q == impl)
+    # doAssert: bool(Q == endo)
+
+suite "Scalar Multiplication G2: BN254 implementation vs SageMath" & " [" & $WordBitwidth & "-bit mode]":
+  # Generated via sage sage/testgen_bn254_snarks.sage
+  test(
+    id = 1,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "d4ff42fc6d0febc88c9e1bc568d72c80c58438f6295dc598d798c1285f974ed",
+    Px1 = "3845ad0148f76bdf14f752268eafb065c7272721784a8c6bd3a5fa736332b94",
+    Py0 = "13fea1d73f8e06ea57a110f9156a8c876ba42251c7dcf9f203f90839bea3e462",
+    Py1 = "1b722e9557c77e1a74a2ad7236b9b0194dbf80a5c03021ce55649e3082c0cbaf",
+    scalar = "3075e23caee5579e5c96f1ca7b206862c2cf3ce21d79182d58b140074b7bd34",
+    Qx0 = "1811e020b970e8c87c63acc020a27e99e97236f9dd01475ece959fb679c3e2d",
+    Qx1 = "2e7c501387b25ab6fc9b45c8e0944d9685364f5c448b954f370ac80751a25de5",
+    Qy0 = "8d73969c1c49878b450c829a7574d7df69fb0f44f158f1a84a8dda940453f30",
+    Qy1 = "14eda105095dd606285a3b7a2aa9bd269b9193c22726d5a4d8708e02ae217807"
+  )
+
+  test(
+    id = 2,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "c4bff378e0e78a9094bc8cb224ad7d89266c28d1289098f03226fa84e7905b0",
+    Px1 = "208afbcdfa4243045ad02aea93f275c60e9f838d6a933e9ad5732235e93cec84",
+    Py0 = "178fd343e358c869df8c3b2e2e90c68cb2352c1ce6a6e51516a2ccab5bc191e3",
+    Py1 = "23d122142470d7a5b9a9b456dcd1898ab5130f2274e010a67c0b59d8a06c98a3",
+    scalar = "1eac341ad699cba0cb13ae35b8215bfe0f34e931f8e51e33bf90d9849767bb",
+    Qx0 = "7d2b09ccebc6ea3ab685a2938c3b594bd1e500eb2ab2a4e0337e7f6587026fb",
+    Qx1 = "ac5a99b924aebdbe4ff277ff5c8e1a209059c646fcac221917fbcbf738039ca",
+    Qy0 = "2be1aebafff712ffd677fe1ac78eb2e838fe3bfc0051afb4e1b446b9aecb5939",
+    Qy1 = "16bf0803d6e1d68be0e3e10d25e358e1f89a28c211cdc61def5ef10ea3abec94"
+  )
+
+  test(
+    id = 3,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "15dd63cf4d0c2d0e21368a72b93f72ed172c413782db489f5d7b4dfcdee061c7",
+    Px1 = "26e5ca7f4b418fc9eb7d7b7f44ed1c4357fa71695ad59299d4404c55a295d64",
+    Py0 = "df8c4bcbb5518b1ea51967f69f61b743be8e58bc9b597b398b51ca7820940af",
+    Py1 = "8a36e75e7058969f4aef0724d9f6317b8b6028870f0e7412baece8073be3477",
+    scalar = "b29535765163b5d5f2d01c8fcde010d11f3f0f250a2cc84b8bc13dd9083356c",
+    Qx0 = "1c329c496b4cb95ee511277fd514a07fb98e313c61f256116d9c071ecc9d9a3a",
+    Qx1 = "11d64f0b3301b18b969f58664801c0de67a295943034e5946b27065ac56581a0",
+    Qy0 = "54787e9bdec726f06896ed90b12a346a2f92e44688b1663911931cd225a1cf3",
+    Qy1 = "1303456cc596e033f1f32f2041bd83fabb8566744c0b4a358097270baa734a48"
+  )
+
+  test(
+    id = 4,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "9a26b213edf4d6b8b8026e934436d2a99d5cc23a9153abdb101a9bc67ab0b74",
+    Px1 = "1654d9658fb77c7836ef3b41431282834c348d922d424ec4205cc62599b1cff4",
+    Py0 = "13359cc29af8ed4d2a8b3acdc2e1c257bb738a365b020075a0cf387fadc9ee96",
+    Py1 = "16dd9e23d0e5a92a98c57eeb0438412185e602bfb87c464e088933fd418e83fb",
+    scalar = "2c02275a71bb41c911faf48cab4f7ac7fc6672a5c15586185c8cff3203181da0",
+    Qx0 = "263a3327dbcd1d29dc43c428f6f03638a146ae40e06974f2a2bdc97c2239adcc",
+    Qx1 = "21d7f34d76f4b71b3e35138f219af27709c0337d1bcd3a680de34ad191a2ddab",
+    Qy0 = "1b0f2d2d9be7fc91bec9dad3294159834e506cf0d24d319b8282bfde26aa4268",
+    Qy1 = "1bceb12af58dd453e801b6036fad5cf63ee511b00c6b8c5cee7bb3846ef3eb05"
+  )
+
+  test(
+    id = 5,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "1a4fb241cdcd2415acca073eaae81ea2e75fbe3122d91a113ee60d6a1f2a882c",
+    Px1 = "1cfac3eb7f51ef5c90fe33469dd55b0641eaf4597cfde95f01fe8d0c16613599",
+    Py0 = "112e05efd8fae9654a20c4a53cb31207176bb6ea7c5ed4c8464a9846e4c6bd56",
+    Py1 = "2b9b15b98d8a2116ffea8886e9399fadf6998f89e2037c423d78c6145beaaed8",
+    scalar = "24c5b2ce21615dca82231f5fb0fc8d05aa07c6df4bb5aa7c2381ac7b61a6290c",
+    Qx0 = "27c16e9546b4383b7d7df55ccc33737866e1e9d12d4f5135bcdbc95514bc5b23",
+    Qx1 = "2e451f8f8f5163dbbd1bf48dce686204511d8cea5bc504a4fcb13d76490589f2",
+    Qy0 = "1c66b04bb04c139b5a6bd40a2a5b20706620b5b54aa69ffc9075dfe14fbbba70",
+    Qy1 = "139f9a895e3e68e57a15b0d6cb01c4101317b4554e196f305f88212ce5cef640"
+  )
+
+  test(
+    id = 6,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "249d33d9b24b0b9d72753345239bc59ae80557dfb0c86a1f86ec92e749c8722a",
+    Px1 = "cfba4d7f339870b12f9f83eb31a791ae3333d1e984919f5a128f72377f70756",
+    Py0 = "1cc869e4e50855a0c09d6da00687007702f5d8fd9c1b1abc17dc643d5dd40825",
+    Py1 = "19a0e1f64ae604d4591905d73cbeae6e644ddda04628a035d941dd0f94e8a33",
+    scalar = "263e44e282fe22216cc054a39e40d4e38e71780bdc84563c340bdaaf4562534b",
+    Qx0 = "2534d84cba98b2aa589b912f5be6dca6f8bf5fc0538fb0a3bc126c109af36aa8",
+    Qx1 = "13921f40b39312b5a62dd8c2b49f153c331c32fa1d1d5cf31e71e1111ffdc947",
+    Qy0 = "2a61adb49770d50ccc0e84b3561746cd3672a292e4d8e2dc8cb0a48dfc678adc",
+    Qy1 = "d2564831641fd45cd073146cc061b2811d1d1b56289887eeed4ce07827dd3cc"
+  )
+
+  test(
+    id = 7,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "210e0d4ae81d5a5108ecc70c5ea0317455f6d5ae6853938a8fd832b055fb8d4d",
+    Px1 = "d1a120ec549f63e2b67043d5c6a3b7a9a7682ebac87cfda91dcc696c425eee8",
+    Py0 = "830c793ad790d61b9b0cbc83bc63869a1c6dc629e7d8c3bec7049ebe68fbad9",
+    Py1 = "129a312b5e866a67ab15ba01fabbb533dd5a7fd5ba976cad0d0e44743d6efb15",
+    scalar = "1471f378000d557f0c33c1f8c8313edd53422479440cbd0fdc4cc55f1163deec",
+    Qx0 = "2c16f3ee75dcdad425ee694342de2ef1c4f07b29c1b5366173d93013ef426692",
+    Qx1 = "3b7d1258cb99bb20857605d9cd5132c82189f98d78a267e80c583bf840c6eeb",
+    Qy0 = "2afabef1030af27bc3ba6cc378b0f7dcb84a09cae301e580d9103daad28ba71f",
+    Qy1 = "117a37aee6704e3fc36d0dba37822658350c48bde5a0968d9ecf45e346caff22"
+  )
+
+  test(
+    id = 8,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "116f9cd5018206c9e0c20bfd684995d42941ba7d4eff87aec228d5fc593e8893",
+    Px1 = "211a34b8228f4bc48f0849e2e721cdaeb416e5be421e942339b751c5edaed7e7",
+    Py0 = "1a888b9355886760acab22c5f35de566d9f521e28cfde8ef5c6cd771b4c19716",
+    Py1 = "4935e0ab136c85ede2a70c3a4a2429b10e1ee9b259d0ffc5ccd0cbcdcba1351",
+    scalar = "411315458c0c0cb27a058faf15dcbf2e467128f9c958d92de37902e1912f81",
+    Qx0 = "175bcd9b7ac109968b88118e93aac3e44446b8abb9e9a2d50eacc2475f245106",
+    Qx1 = "295dd179211b165f3096be9c44248a525976d9f3757c56083a9f0f69cd9eb75",
+    Qy0 = "f67730f5ced93a2a7dbcd57b073505b496a7eba5eb5b1f6170cfea145ce2f15",
+    Qy1 = "903a6681d15626728d7e36af65fe5d96ae314433de84321410579cba5e5dbec"
+  )
+
+  test(
+    id = 9,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "16181913b3c03bd61b7e3ba2e05541b492626046533440bced33420cb1d0cfc2",
+    Px1 = "3d505402f6d6eab342473ed2b07313c5b02e2c63f2218e5773df0aa839ce9ba",
+    Py0 = "8b40ff9ba82fbf42f02628600894d112640223759570e87bb721a93da0c2c22",
+    Py1 = "2d8df108c6cb25384b748480f99b9c3e72c256839e227fb22eadc4148e6398eb",
+    scalar = "111e6f761ce48e22970752bd56cab93d47caa252d52948367b21163591f7b7b1",
+    Qx0 = "2a8ea2288308fd73ffa423dbe971e45e4cbadfc977d75cd4ea015adf80f25bac",
+    Qx1 = "491f281ad2faf5b41cb5da93b114310222c6356469b7fb51a8166e8ccc4ab01",
+    Qy0 = "386ae4175f00ba59c45b07f1f47fbeb0359e8fa52f70cc7396d58f2ef06abd9",
+    Qy1 = "525877a41155f9dbd541f5833b0d1543a07089cb4a1842990d01dbb3068e8db"
+  )
+
+  test(
+    id = 10,
+    EC = ECP_SWei_Proj[Fp2[BN254_Snarks]],
+    Px0 = "1ea8eb841a242b478d5ed96da30eb78ac5588964dd0f3405b419747d44795ae8",
+    Px1 = "ee64b54258e687fc9887ca2362b71c50539c881d43097a0578b58c487fd26ca",
+    Py0 = "2ab3b56d071b0ca9934fc031e26dd0ef777b42018e9afa632ba5af8fec4ddeb8",
+    Py1 = "cdf8de134912bb9e9b1e9deec26066028ef099def9c4f3e157cec48f5919295",
+    scalar = "6223903d4bc2adea7b0a0db92822b6c2638691e4388df93f567e11edd6f23",
+    Qx0 = "1f30a3adabf28b22f0ca4088fb9cd48688c7c360098d33d0a93800d5b22433db",
+    Qx1 = "e436556e8cf709b4cceb314bf387326f824afdfdc13638dcd5212822543fb1d",
+    Qy0 = "28329f3dff9158be7d166e6063ee6964f2d04810a46ef1e05732fa377b6302b4",
+    Qy1 = "dea3c3263a5914c54be5abcbf9d1aad995dac6a82b88ff46f0a314e8a0c2925"
+  )