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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 254320q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 254320.q1 | 254320q1 | \([0, -1, 0, -1357240, -615591568]\) | \(-2796665386969/39823520\) | \(-3937251171626516480\) | \([]\) | \(4423680\) | \(2.3733\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254320q do not have complex multiplication.Modular form 254320.2.a.q
sage: E.q_eigenform(10)