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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 32487.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32487.g1 | 32487e1 | \([0, -1, 1, -905, 11150]\) | \(-239251750912/9771957\) | \(-3351781251\) | \([]\) | \(20992\) | \(0.59531\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32487.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32487.g do not have complex multiplication.Modular form 32487.2.a.g
sage: E.q_eigenform(10)