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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 77760.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77760.bu1 | 77760cm1 | \([0, 0, 0, 999252, 451382928]\) | \(13857745529076264/19073486328125\) | \(-151875000000000000000\) | \([]\) | \(1860480\) | \(2.5582\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77760.bu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77760.bu do not have complex multiplication.Modular form 77760.2.a.bu
sage: E.q_eigenform(10)