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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 402930v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.v1 | 402930v1 | \([1, -1, 0, 11775, -41279375]\) | \(3774555693/15389687500\) | \(-736121794784062500\) | \([]\) | \(5483520\) | \(2.1073\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930v1 has rank \(2\).
Complex multiplication
The elliptic curves in class 402930v do not have complex multiplication.Modular form 402930.2.a.v
sage: E.q_eigenform(10)