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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 6050y
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 6050.bq1 | 6050y1 | \([1, -1, 1, 120, -503]\) | \(9261/10\) | \(-207968750\) | \([]\) | \(5760\) | \(0.28269\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6050y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6050y do not have complex multiplication.Modular form 6050.2.a.y
sage: E.q_eigenform(10)