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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 308550.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.bi1 | 308550bi1 | \([1, 1, 0, 2351875, 20558032125]\) | \(51974460932759/6625297800000\) | \(-183392487435403125000000\) | \([]\) | \(45619200\) | \(3.1432\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 308550.bi do not have complex multiplication.Modular form 308550.2.a.bi
sage: E.q_eigenform(10)