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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 13650.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13650.h1 | 13650d1 | \([1, 1, 0, -15820, 936880]\) | \(-17516447604815665/5244769831392\) | \(-131119245784800\) | \([]\) | \(53760\) | \(1.4231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13650.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13650.h do not have complex multiplication.Modular form 13650.2.a.h
sage: E.q_eigenform(10)