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SageMath
E = EllipticCurve("yv1")
E.isogeny_class()
Elliptic curves in class 19051200.yv
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 19051200.yv1 | \([0, 0, 0, 1190700, -145860750]\) | \(995328/625\) | \(-117231566641875000000\) | \([]\) | \(477757440\) | \(2.5399\) |
Rank
sage: E.rank()
The elliptic curve 19051200.yv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19051200.yv do not have complex multiplication.Modular form 19051200.2.a.yv
sage: E.q_eigenform(10)