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SageMath
sage: E = EllipticCurve("e1")
sage: E.isogeny_class()
Elliptic curves in class 97461.e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 97461.e1 | 97461o1 | [0, 0, 1, -10032897, 17704863468] | [] | 12570624 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97461.e do not have complex multiplication.Modular form 97461.2.a.e
sage: E.q_eigenform(10)