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SageMath
sage: E = EllipticCurve("e1")
sage: E.isogeny_class()
Elliptic curves in class 97461e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 97461.h1 | 97461e1 | [0, 0, 1, -23079, -1194804] | [] | 677376 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97461e do not have complex multiplication.Modular form 97461.2.a.e
sage: E.q_eigenform(10)