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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 59840h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59840.n1 | 59840h1 | \([0, -1, 0, 319, -2879]\) | \(13651919/20570\) | \(-5392302080\) | \([]\) | \(24576\) | \(0.55273\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59840h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59840h do not have complex multiplication.Modular form 59840.2.a.h
sage: E.q_eigenform(10)