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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 1290h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 1290.f1 | 1290h1 | \([1, 0, 1, 120229952, -3351306510322]\) | \(192203697666261893287480365959/4963160303408775168000000000\) | \(-4963160303408775168000000000\) | \([]\) | \(1068480\) | \(3.9945\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1290h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1290h do not have complex multiplication.Modular form 1290.2.a.h
sage: E.q_eigenform(10)