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SageMath
E = EllipticCurve("ez1")
E.isogeny_class()
Elliptic curves in class 159600.ez
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159600.ez1 | 159600cm1 | \([0, 1, 0, -3293085208, 168760656893588]\) | \(-98735339854432038328225/250451215107692352768\) | \(-10018048604307694110720000000000\) | \([]\) | \(251596800\) | \(4.6363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159600.ez1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159600.ez do not have complex multiplication.Modular form 159600.2.a.ez
sage: E.q_eigenform(10)