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SageMath
E = EllipticCurve("ez1")
E.isogeny_class()
Elliptic curves in class 111600.ez
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.ez1 | 111600ex1 | \([0, 0, 0, -37442694675, 2889822614679250]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-248113095254488626757632000000000\) | \([]\) | \(419696640\) | \(4.9820\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600.ez1 has rank \(0\).
Complex multiplication
The elliptic curves in class 111600.ez do not have complex multiplication.Modular form 111600.2.a.ez
sage: E.q_eigenform(10)