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SageMath
sage: E = EllipticCurve("nr1")
sage: E.isogeny_class()
Elliptic curves in class 235200.nr
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 235200.nr1 | 235200nr1 | [0, -1, 0, 1167, 480537] | [] | 737280 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.nr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.nr do not have complex multiplication.Modular form 235200.2.a.nr
sage: E.q_eigenform(10)