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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 188760cv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 188760.u1 | 188760cv1 | \([0, -1, 0, -1116761796, -14365178608779]\) | \(-371157741803156856064/32988222759375\) | \(-13690072648676499654150000\) | \([]\) | \(87816960\) | \(3.8637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760cv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 188760cv do not have complex multiplication.Modular form 188760.2.a.cv
sage: E.q_eigenform(10)