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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 52878g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52878.e1 | 52878g1 | \([1, 0, 0, -15910437, -24428390271]\) | \(-445420333324856312324474833/713479073857536\) | \(-713479073857536\) | \([]\) | \(2866560\) | \(2.5436\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52878g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 52878g do not have complex multiplication.Modular form 52878.2.a.g
sage: E.q_eigenform(10)