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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 317322bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317322.bh1 | 317322bh1 | \([1, -1, 1, -2222, -41973]\) | \(-1860867/122\) | \(-79509152286\) | \([]\) | \(564480\) | \(0.84415\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317322bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317322bh do not have complex multiplication.Modular form 317322.2.a.bh
sage: E.q_eigenform(10)