Properties

Label 393129cq
Number of curves $1$
Conductor $393129$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cq1")
 
E.isogeny_class()
 

Elliptic curves in class 393129cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
393129.cq1 393129cq1 \([0, 0, 1, 34485, -120123]\) \(512000/297\) \(-2630879103413187\) \([]\) \(2995200\) \(1.6483\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 393129cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 393129cq do not have complex multiplication.

Modular form 393129.2.a.cq

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + 4 q^{7} + q^{13} + 8 q^{14} - 4 q^{16} + 7 q^{17} + O(q^{20})\) Copy content Toggle raw display