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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 234416.bv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 234416.bv1 | 234416bv1 | \([0, -1, 0, -15536593, -23565980787]\) | \(13770918300093568000/31622653517\) | \(952415632287112448\) | \([]\) | \(7833600\) | \(2.6934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 234416.bv do not have complex multiplication.Modular form 234416.2.a.bv
sage: E.q_eigenform(10)