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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 459.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
459.h1 | 459e1 | \([0, 0, 1, 27, 101]\) | \(110592/289\) | \(-5688387\) | \([]\) | \(180\) | \(-0.020133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 459.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 459.h do not have complex multiplication.Modular form 459.2.a.h
sage: E.q_eigenform(10)