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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 34914v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 34914.t1 | 34914v1 | \([1, 1, 1, -1684601569, -26671723886305]\) | \(-3571480626044740843224673/9021299988885921792\) | \(-1335476163790417552063193088\) | \([]\) | \(28828800\) | \(4.0820\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 34914v do not have complex multiplication.Modular form 34914.2.a.v
sage: E.q_eigenform(10)