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SageMath
sage: E = EllipticCurve("w1")
sage: E.isogeny_class()
Elliptic curves in class 14700.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 14700.w1 | 14700m1 | [0, -1, 0, -9998, 388137] | [] | 13824 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14700.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14700.w do not have complex multiplication.Modular form 14700.2.a.w
sage: E.q_eigenform(10)