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SageMath
sage: E = EllipticCurve("s1")
sage: E.isogeny_class()
Elliptic curves in class 97461s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 97461.y1 | 97461s1 | [0, 0, 1, -6321, -2824691] | [] | 847872 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97461s do not have complex multiplication.Modular form 97461.2.a.s
sage: E.q_eigenform(10)