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SageMath
E = EllipticCurve("fv1")
E.isogeny_class()
Elliptic curves in class 193600fv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 193600.q1 | 193600fv1 | \([0, 0, 0, 7700, -242000]\) | \(9261/10\) | \(-54517760000000\) | \([]\) | \(1105920\) | \(1.3224\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600fv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193600fv do not have complex multiplication.Modular form 193600.2.a.fv
sage: E.q_eigenform(10)