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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 2960.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2960.e1 | 2960f1 | \([0, -1, 0, -2501, -47315]\) | \(422550360064/23125\) | \(94720000\) | \([]\) | \(1920\) | \(0.59667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2960.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2960.e do not have complex multiplication.Modular form 2960.2.a.e
sage: E.q_eigenform(10)