BLS12-381
381-bit prime field Weierstrass curve.Curve from https://electriccoin.co/blog/new-snark-curve/. As used in ZCash.
Parameters
SAGE
p = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaabK = GF(p)a = K(0x00)b = K(0x04)E = EllipticCurve(K, (a, b))G = E(0x17F1D3A73197D7942695638C4FA9AC0FC3688C4F9774B905A14E3A3F171BAC586C55E83FF97A1AEFFB3AF00ADB22C6BB, 0x08B3F481E3AAA0F1A09E30ED741D8AE4FCF5E095D5D00AF600DB18CB2C04B3EDD03CC744A2888AE40CAA232946C5E7E1)E.set_order(0x73EDA753299D7D483339D80809A1D80553BDA402FFFE5BFEFFFFFFFF00000001 * 0x396C8C005555E1568C00AAAB0000AAAB)
PARI/GP
p = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaaba = Mod(0x00, p)b = Mod(0x04, p)E = ellinit([a, b])E[16][1] = 0x73EDA753299D7D483339D80809A1D80553BDA402FFFE5BFEFFFFFFFF00000001 * 0x396C8C005555E1568C00AAAB0000AAABG = [Mod(0x17F1D3A73197D7942695638C4FA9AC0FC3688C4F9774B905A14E3A3F171BAC586C55E83FF97A1AEFFB3AF00ADB22C6BB, p), Mod(0x08B3F481E3AAA0F1A09E30ED741D8AE4FCF5E095D5D00AF600DB18CB2C04B3EDD03CC744A2888AE40CAA232946C5E7E1, p)]
JSON
{"name": "BLS12-381","desc": "Curve from https://electriccoin.co/blog/new-snark-curve/. As used in ZCash.","form": "Weierstrass","field": {"type": "Prime","p": "0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab","bits": 381},"params": {"a": {"raw": "0x00"},"b": {"raw": "0x04"}},"generator": {"x": {"raw": "0x17F1D3A73197D7942695638C4FA9AC0FC3688C4F9774B905A14E3A3F171BAC586C55E83FF97A1AEFFB3AF00ADB22C6BB"},"y": {"raw": "0x08B3F481E3AAA0F1A09E30ED741D8AE4FCF5E095D5D00AF600DB18CB2C04B3EDD03CC744A2888AE40CAA232946C5E7E1"}},"order": "0x73EDA753299D7D483339D80809A1D80553BDA402FFFE5BFEFFFFFFFF00000001","cofactor": "0x396C8C005555E1568C00AAAB0000AAAB"}