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SageMath
sage: E = EllipticCurve("r1")
sage: E.isogeny_class()
Elliptic curves in class 97020.r
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 97020.r1 | 97020bi1 | [0, 0, 0, -60234573, -179935509103] | [] | 5806080 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97020.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97020.r do not have complex multiplication.Modular form 97020.2.a.r
sage: E.q_eigenform(10)