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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 166410.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.bd1 | 166410cp1 | \([1, -1, 0, -41957439009, -190180315503235]\) | \(35506812831189674787/20480000000000000\) | \(4711605167391139491840000000000000\) | \([]\) | \(811399680\) | \(5.1508\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166410.bd do not have complex multiplication.Modular form 166410.2.a.bd
sage: E.q_eigenform(10)