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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 25872bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25872.x1 | 25872bv1 | \([0, -1, 0, 187, 3501]\) | \(3584000/29403\) | \(-5901299712\) | \([]\) | \(14400\) | \(0.55627\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25872bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25872bv do not have complex multiplication.Modular form 25872.2.a.bv
sage: E.q_eigenform(10)