w-512-mont
512-bit prime field Weierstrass curve.Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.
Parameters
SAGE
p = 0xfe14ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffK = GF(p)a = K(0xfe14fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc)b = K(0x185ed)E = EllipticCurve(K, (a, b))# No generator definedE.set_order(0xfe14ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff638a8d792ee750298064aaf0b8498e61df3d3995064ed73b939628f17e98fdc9 * 0x01)
PARI/GP
p = 0xfe14ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa = Mod(0xfe14fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc, p)b = Mod(0x185ed, p)E = ellinit([a, b])E[16][1] = 0xfe14ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff638a8d792ee750298064aaf0b8498e61df3d3995064ed73b939628f17e98fdc9 * 0x01\\ No generator defined
JSON
{"name": "w-512-mont","desc": "Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.","form": "Weierstrass","field": {"type": "Prime","p": "0xfe14ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff","bits": 512},"params": {"a": {"raw": "0xfe14fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc"},"b": {"raw": "0x185ed"}},"order": "0xfe14ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff638a8d792ee750298064aaf0b8498e61df3d3995064ed73b939628f17e98fdc9","cofactor": "0x01"}