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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 58835h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58835.c1 | 58835h1 | \([1, -1, 1, 33, 26]\) | \(2432079/1715\) | \(-2882915\) | \([]\) | \(10080\) | \(-0.071993\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58835h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58835h do not have complex multiplication.Modular form 58835.2.a.h
sage: E.q_eigenform(10)