Properties

Label 190608.cq
Number of curves $1$
Conductor $190608$
CM no
Rank $1$

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Show commands: 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)
 
\(q + q^{3} + 4 q^{7} + q^{9} - q^{11} + q^{13} + 7 q^{17} + O(q^{20})\) Copy content Toggle raw display