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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 350658h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 350658.h1 | 350658h1 | \([1, -1, 0, -3546229968, -81305683977974]\) | \(-31561336767775878870433/10701003643411522\) | \(-1672220416435811704373196978\) | \([]\) | \(372252672\) | \(4.1956\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658h do not have complex multiplication.Modular form 350658.2.a.h
sage: E.q_eigenform(10)