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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 59290bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.w1 | 59290bh1 | \([1, 1, 0, -6052, 121017296]\) | \(-2401/619520\) | \(-6326969812724126720\) | \([]\) | \(1209600\) | \(2.2865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59290bh do not have complex multiplication.Modular form 59290.2.a.bh
sage: E.q_eigenform(10)