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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 4950v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 4950.f1 | 4950v1 | \([1, -1, 0, -117, -3659]\) | \(-390625/12672\) | \(-5773680000\) | \([]\) | \(2688\) | \(0.55339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4950v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4950v do not have complex multiplication.Modular form 4950.2.a.v
sage: E.q_eigenform(10)