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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 112710bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.by1 | 112710bu1 | \([1, 1, 1, -124276, 93553349]\) | \(-2541499591834369/43848960714000\) | \(-3662309047793994000\) | \([]\) | \(3110400\) | \(2.2432\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 112710bu do not have complex multiplication.Modular form 112710.2.a.bu
sage: E.q_eigenform(10)