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SageMath
sage: E = EllipticCurve("27584.a1")
sage: E.isogeny_class()
Elliptic curves in class 27584.a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 27584.a1 | 27584bd1 | [0, 0, 0, -4, 64] | [] | 12032 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27584.a1 has rank \(3\).
Modular form 27584.2.a.a
sage: E.q_eigenform(10)