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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 88445.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.g1 | 88445b1 | \([1, 1, 1, -1813491, 939215584]\) | \(877952898529/15625\) | \(11738666111265625\) | \([]\) | \(1378944\) | \(2.2107\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88445.g do not have complex multiplication.Modular form 88445.2.a.g
sage: E.q_eigenform(10)