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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 57222.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57222.bh1 | 57222bo1 | \([1, -1, 1, -4282601, 3412660767]\) | \(-1708156114633/215622\) | \(-1096508416017667158\) | \([]\) | \(1527552\) | \(2.4837\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57222.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57222.bh do not have complex multiplication.Modular form 57222.2.a.bh
sage: E.q_eigenform(10)