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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 29760cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29760.cq1 | 29760cw1 | \([0, 1, 0, -665647905, -6850171784097]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-1394062055092435411795968000\) | \([]\) | \(17487360\) | \(3.9746\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29760cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29760cw do not have complex multiplication.Modular form 29760.2.a.cw
sage: E.q_eigenform(10)