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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 116610bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116610.y1 | 116610bd1 | \([1, 0, 1, -2864, 58736]\) | \(15365194032721/1293750\) | \(218643750\) | \([]\) | \(94080\) | \(0.64353\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116610bd do not have complex multiplication.Modular form 116610.2.a.bd
sage: E.q_eigenform(10)