Curve383187
283-bit prime field Montgomery curve.Parameters
SAGE
p = 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45K = GF(p)A = K(0x38251)B = K(0x01)E = EllipticCurve(K, ((3 - A^2)/(3 * B^2), (2 * A^3 - 9 * A)/(27 * B^3)))def to_weierstrass(A, B, x, y):return (x/B + A/(3*B), y/B)def to_montgomery(A, B, u, v):return (B * (u - A/(3*B)), B*v)G = E(*to_weierstrass(A, B, K(0x5), K(0x1eebe07dc1871896732b12d5504a32370471965c7a11f2c89865f855ab3cbd7c224e3620c31af3370788457dd5ce46df)))E.set_order(0x1000000000000000000000000000000000000000000000000e85a85287a1488acd41ae84b2b7030446f72088b00a0e21 * 0x8)# This curve is a Weierstrass curve (SAGE does not support Montgomery curves) birationally equivalent to the intended curve.# You can use the to_weierstrass and to_montgomery functions to convert the points.
JSON
{"name": "Curve383187","desc": "","form": "Montgomery","field": {"type": "Prime","p": "0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45","bits": 283},"params": {"a": {"raw": "0x38251"},"b": {"raw": "0x01"}},"generator": {"x": {"raw": "0x5"},"y": {"raw": "0x1eebe07dc1871896732b12d5504a32370471965c7a11f2c89865f855ab3cbd7c224e3620c31af3370788457dd5ce46df"}},"order": "0x1000000000000000000000000000000000000000000000000e85a85287a1488acd41ae84b2b7030446f72088b00a0e21","cofactor": "0x8"}