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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 113288h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
113288.i1 | 113288h1 | \([0, -1, 0, -231296, -39680171]\) | \(12544\) | \(109092253016474896\) | \([]\) | \(803712\) | \(2.0127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 113288h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 113288h do not have complex multiplication.Modular form 113288.2.a.h
sage: E.q_eigenform(10)