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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 430950z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 430950.z1 | 430950z1 | \([1, 1, 0, -17535950, -125608663500]\) | \(-74862579025/812187648\) | \(-6469984528225920000000000\) | \([]\) | \(82667520\) | \(3.4428\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 430950z do not have complex multiplication.Modular form 430950.2.a.z
sage: E.q_eigenform(10)