Properties

Label 17640cu
Number of curves $1$
Conductor $17640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cu1")
 
E.isogeny_class()
 

Elliptic curves in class 17640cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17640.cr1 17640cu1 \([0, 0, 0, -181692, 30709476]\) \(-30211716096/1071875\) \(-23534223602400000\) \([]\) \(161280\) \(1.9137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17640cu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17640cu do not have complex multiplication.

Modular form 17640.2.a.cu

sage: E.q_eigenform(10)
 
\(q + q^{5} + 5 q^{11} + 5 q^{13} - 7 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display