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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 266805bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266805.bv1 | 266805bv1 | \([1, -1, 1, -623657, -410852186]\) | \(-1459161/3125\) | \(-57452280391470628125\) | \([]\) | \(6098400\) | \(2.4804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266805bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 266805bv do not have complex multiplication.Modular form 266805.2.a.bv
sage: E.q_eigenform(10)