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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 63525.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 63525.f1 | 63525bo1 | \([0, 1, 1, -2118508, 1182079894]\) | \(313944395776/1240029\) | \(4153300450742953125\) | \([]\) | \(3252480\) | \(2.4298\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63525.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63525.f do not have complex multiplication.Modular form 63525.2.a.f
sage: E.q_eigenform(10)