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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 248256c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 248256.c1 | 248256c1 | \([0, 0, 0, -38172, -2911120]\) | \(-515004459856/8483373\) | \(-101324864176128\) | \([]\) | \(940032\) | \(1.4872\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248256c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248256c do not have complex multiplication.Modular form 248256.2.a.c
sage: E.q_eigenform(10)