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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 405600.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.bv1 | 405600bv1 | \([0, -1, 0, 7887, 244737]\) | \(109760/117\) | \(-57829033267200\) | \([]\) | \(1032192\) | \(1.3274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600.bv do not have complex multiplication.Modular form 405600.2.a.bv
sage: E.q_eigenform(10)