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SageMath
sage: E = EllipticCurve("k1")
sage: E.isogeny_class()
Elliptic curves in class 84700k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 84700.a1 | 84700k1 | [0, 0, 0, 96800, -35271500] | [] | 1713600 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84700k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84700k do not have complex multiplication.Modular form 84700.2.a.k
sage: E.q_eigenform(10)