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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 117117.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117117.bv1 | 117117u1 | \([0, 0, 1, -149565, 22660407]\) | \(-105154048000/2189187\) | \(-7703188097912307\) | \([]\) | \(978432\) | \(1.8394\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117117.bv1 has rank \(2\).
Complex multiplication
The elliptic curves in class 117117.bv do not have complex multiplication.Modular form 117117.2.a.bv
sage: E.q_eigenform(10)