bn350
350-bit prime field Weierstrass curve.Parameters
Characteristics
- j-invariant:
0 - Trace of Frobenius:
35917316178020966140770026648761406645010658995732487 - Discriminant:
1290053601431926622698139429963477963560185337848708333001329190095450433717605248005163618066274214476115 - Anomalous:
false - Supersingular:
false - Embedding degree:
12
SAGE
p = 0x23FFB80035FFEE24020A01CAFD738EC3F24B475EBC0AD0F6A0530FD78443FDF01A3FF64084000004E0000013K = GF(p)a = K(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)b = K(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000002)E = EllipticCurve(K, (a, b))G = E(0x23FFB80035FFEE24020A01CAFD738EC3F24B475EBC0AD0F6A0530FD78443FDF01A3FF64084000004E0000012, 0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000001)E.set_order(0x23FFB80035FFEE24020A01CAFD738EC3F24B475EBC0A70F70052F7D78413FE08173FF7C07E0000042000000D * 0x01)
PARI/GP
p = 0x23FFB80035FFEE24020A01CAFD738EC3F24B475EBC0AD0F6A0530FD78443FDF01A3FF64084000004E0000013a = Mod(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000, p)b = Mod(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000002, p)E = ellinit([a, b])E[16][1] = 0x23FFB80035FFEE24020A01CAFD738EC3F24B475EBC0A70F70052F7D78413FE08173FF7C07E0000042000000D * 0x01G = [Mod(0x23FFB80035FFEE24020A01CAFD738EC3F24B475EBC0AD0F6A0530FD78443FDF01A3FF64084000004E0000012, p), Mod(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000001, p)]
JSON
{"name": "bn350","desc": "","form": "Weierstrass","field": {"type": "Prime","p": "0x23FFB80035FFEE24020A01CAFD738EC3F24B475EBC0AD0F6A0530FD78443FDF01A3FF64084000004E0000013","bits": 350},"params": {"a": {"raw": "0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"},"b": {"raw": "0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000002"}},"generator": {"x": {"raw": "0x23FFB80035FFEE24020A01CAFD738EC3F24B475EBC0AD0F6A0530FD78443FDF01A3FF64084000004E0000012"},"y": {"raw": "0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000001"}},"order": "0x23FFB80035FFEE24020A01CAFD738EC3F24B475EBC0A70F70052F7D78413FE08173FF7C07E0000042000000D","cofactor": "0x01","characteristics": {"j_invariant": "0","anomalous": false,"discriminant": "1290053601431926622698139429963477963560185337848708333001329190095450433717605248005163618066274214476115","embedding_degree": "12","supersingular": false,"trace_of_frobenius": "35917316178020966140770026648761406645010658995732487"}}