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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 235950.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.cz1 | 235950cz1 | \([1, 0, 1, 2676374, -1052626852]\) | \(1121395878788998439/902241990000000\) | \(-1705801262343750000000\) | \([]\) | \(11289600\) | \(2.7619\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950.cz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235950.cz do not have complex multiplication.Modular form 235950.2.a.cz
sage: E.q_eigenform(10)