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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 32340.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 32340.f1 | 32340f1 | \([0, -1, 0, -96246061, -363565654535]\) | \(-3273741656681120014336/1733575611796875\) | \(-52212079910986380000000\) | \([]\) | \(4354560\) | \(3.3091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32340.f do not have complex multiplication.Modular form 32340.2.a.f
sage: E.q_eigenform(10)