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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 257600.cz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 257600.cz1 | 257600cz1 | \([0, 0, 0, 17140, -17414640]\) | \(84972077055/20040095362\) | \(-131334768964403200\) | \([]\) | \(1548288\) | \(1.9639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257600.cz do not have complex multiplication.Modular form 257600.2.a.cz
sage: E.q_eigenform(10)