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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 248256g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248256.g1 | 248256g1 | \([0, 0, 0, -1884, -31664]\) | \(-61918288/431\) | \(-5147836416\) | \([]\) | \(168960\) | \(0.69712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248256g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248256g do not have complex multiplication.Modular form 248256.2.a.g
sage: E.q_eigenform(10)