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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 112530co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112530.cp1 | 112530co1 | \([1, 0, 0, -1258490571, -17807298856335]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-9421028016592445261217792000\) | \([]\) | \(108385200\) | \(4.1338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112530co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112530co do not have complex multiplication.Modular form 112530.2.a.co
sage: E.q_eigenform(10)