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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 402930p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.p1 | 402930p1 | \([1, -1, 0, 797918445, -7398375405899]\) | \(32684175259896816109/32669794271232000\) | \(-56157542490159164629352448000\) | \([]\) | \(369515520\) | \(4.2034\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 402930p do not have complex multiplication.Modular form 402930.2.a.p
sage: E.q_eigenform(10)