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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 308550l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.l1 | 308550l1 | \([1, 1, 0, -7389887815, 244511591396725]\) | \(-201544580564199876850222949/21176260364869632\) | \(-4689379623531101266944000\) | \([]\) | \(358525440\) | \(4.1625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 308550l do not have complex multiplication.Modular form 308550.2.a.l
sage: E.q_eigenform(10)