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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 134310.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.bv1 | 134310bo1 | \([1, 1, 1, 41429, 27787673]\) | \(64990673608514951/2790970315280640\) | \(-337707408148957440\) | \([]\) | \(1769472\) | \(2.0432\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 134310.bv do not have complex multiplication.Modular form 134310.2.a.bv
sage: E.q_eigenform(10)