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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 162288.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162288.h1 | 162288d1 | \([0, 0, 0, -2352, -59780]\) | \(-3211264/1587\) | \(-711109663488\) | \([]\) | \(313344\) | \(0.97940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288.h do not have complex multiplication.Modular form 162288.2.a.h
sage: E.q_eigenform(10)