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SageMath
sage: E = EllipticCurve("q1")
sage: E.isogeny_class()
Elliptic curves in class 338130q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 338130.q1 | 338130q1 | [1, -1, 0, -131561235, -580826748155] | [] | 50761728 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130q do not have complex multiplication.Modular form 338130.2.a.q
sage: E.q_eigenform(10)