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SageMath
E = EllipticCurve("ez1")
E.isogeny_class()
Elliptic curves in class 159600ez
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159600.br1 | 159600ez1 | \([0, -1, 0, 474992, 97112512]\) | \(185183253170999/171032148000\) | \(-10946057472000000000\) | \([]\) | \(3317760\) | \(2.3406\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159600ez1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159600ez do not have complex multiplication.Modular form 159600.2.a.ez
sage: E.q_eigenform(10)