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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 155526bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.t1 | 155526bu1 | \([1, 0, 1, -534175, 150225422]\) | \(270850291507273/551124\) | \(34299930174804\) | \([]\) | \(1824768\) | \(1.8478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526bu1 has rank \(2\).
Complex multiplication
The elliptic curves in class 155526bu do not have complex multiplication.Modular form 155526.2.a.bu
sage: E.q_eigenform(10)