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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 258570bv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 258570.bv1 | 258570bv1 | \([1, -1, 0, 13062374586, 1108338566695348]\) | \(414491631408272360789951/1132262271188620848000\) | \(-673319795632749793062975456432000\) | \([]\) | \(1006387200\) | \(4.9827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 258570bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 258570bv do not have complex multiplication.Modular form 258570.2.a.bv
sage: E.q_eigenform(10)