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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 266805.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266805.bu1 | 266805bu1 | \([1, -1, 1, -394872512, 3220076628024]\) | \(-7558595228569/597871125\) | \(-538593253139755282315510125\) | \([]\) | \(89413632\) | \(3.8762\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266805.bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 266805.bu do not have complex multiplication.Modular form 266805.2.a.bu
sage: E.q_eigenform(10)