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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 443760.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
443760.g1 | 443760g1 | \([0, -1, 0, -496429381, 4323869825581]\) | \(-522547125460258816/9506987907075\) | \(-246157811970350082751180800\) | \([]\) | \(198696960\) | \(3.8600\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443760.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443760.g do not have complex multiplication.Modular form 443760.2.a.g
sage: E.q_eigenform(10)