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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 166410.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.bv1 | 166410ba1 | \([1, -1, 1, -22691963, 2397799531]\) | \(35506812831189674787/20480000000000000\) | \(745346396160000000000000\) | \([]\) | \(18869760\) | \(3.2702\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166410.bv do not have complex multiplication.Modular form 166410.2.a.bv
sage: E.q_eigenform(10)