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SageMath
sage: E = EllipticCurve("a1")
sage: E.isogeny_class()
Elliptic curves in class 50540.a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 50540.a1 | 50540b1 | [0, 0, 0, 11552, -1454108] | [] | 393120 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50540.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 50540.a do not have complex multiplication.Modular form 50540.2.a.a
sage: E.q_eigenform(10)