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SageMath
E = EllipticCurve("ha1")
E.isogeny_class()
Elliptic curves in class 430950ha
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 430950.ha1 | 430950ha1 | \([1, 0, 0, 1495562, -6760679758]\) | \(29024858759/1566018750\) | \(-19960150063078417968750\) | \([]\) | \(38338560\) | \(2.9587\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950ha1 has rank \(0\).
Complex multiplication
The elliptic curves in class 430950ha do not have complex multiplication.Modular form 430950.2.a.ha
sage: E.q_eigenform(10)