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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 435344g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435344.g1 | 435344g1 | \([0, 1, 0, -53585393, 150961257019]\) | \(13770918300093568000/31622653517\) | \(39074946201532736768\) | \([]\) | \(27417600\) | \(3.0029\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435344g do not have complex multiplication.Modular form 435344.2.a.g
sage: E.q_eigenform(10)