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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 86490cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86490.cs1 | 86490cn1 | \([1, -1, 1, -89956073957, 10761360678257181]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-3440645083479098250313023356928000\) | \([]\) | \(699494400\) | \(5.2012\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86490cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86490cn do not have complex multiplication.Modular form 86490.2.a.cn
sage: E.q_eigenform(10)