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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 63580f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 63580.k1 | 63580f1 | \([0, 1, 0, 109724, 37014724]\) | \(81807536/378125\) | \(-675253320288800000\) | \([]\) | \(734400\) | \(2.1035\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63580f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63580f do not have complex multiplication.Modular form 63580.2.a.f
sage: E.q_eigenform(10)