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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 364650.cz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 364650.cz1 | 364650cz1 | \([1, 1, 1, 1491237, -26887719]\) | \(37554645142029575/21766488380208\) | \(-212563363087968750000\) | \([]\) | \(22241280\) | \(2.5899\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364650.cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 364650.cz do not have complex multiplication.Modular form 364650.2.a.cz
sage: E.q_eigenform(10)