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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 190608.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.cq1 | 190608t1 | \([0, 1, 0, 182907, -1406349]\) | \(512000/297\) | \(-392553456600526848\) | \([]\) | \(2371200\) | \(2.0654\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190608.cq do not have complex multiplication.Modular form 190608.2.a.cq
sage: E.q_eigenform(10)