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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 308550s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.s1 | 308550s1 | \([1, 1, 0, -3390, -950220]\) | \(-97325545/8724672\) | \(-386407216324800\) | \([]\) | \(1451520\) | \(1.4786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 308550s do not have complex multiplication.Modular form 308550.2.a.s
sage: E.q_eigenform(10)