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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 156702bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.v1 | 156702bv1 | \([1, 0, 1, -8405, -24160]\) | \(558051585337/320925696\) | \(37756587208704\) | \([]\) | \(626688\) | \(1.2948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 156702bv do not have complex multiplication.Modular form 156702.2.a.bv
sage: E.q_eigenform(10)