w-511-mers
511-bit prime field Weierstrass curve.Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.
Parameters
SAGE
p = 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1fK = GF(p)a = K(0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1c)b = K(0x879da)E = EllipticCurve(K, (a, b))# No generator definedE.set_order(0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff8dbefa3f5ed9d839a2d4fe6ff516e87fa8d3e656a0f99fa1f0105f73b3b9d19f * 0x01)
PARI/GP
p = 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1fa = Mod(0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1c, p)b = Mod(0x879da, p)E = ellinit([a, b])E[16][1] = 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff8dbefa3f5ed9d839a2d4fe6ff516e87fa8d3e656a0f99fa1f0105f73b3b9d19f * 0x01\\ No generator defined
JSON
{"name": "w-511-mers","desc": "Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.","form": "Weierstrass","field": {"type": "Prime","p": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1f","bits": 511},"params": {"a": {"raw": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1c"},"b": {"raw": "0x879da"}},"order": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff8dbefa3f5ed9d839a2d4fe6ff516e87fa8d3e656a0f99fa1f0105f73b3b9d19f","cofactor": "0x01"}