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SageMath
sage: E = EllipticCurve("x1")
sage: E.isogeny_class()
Elliptic curves in class 2352.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 2352.x1 | 2352f1 | [0, 1, 0, -457, 10163] | [] | 2016 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2352.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2352.x do not have complex multiplication.Modular form 2352.2.a.x
sage: E.q_eigenform(10)