Properties

Label 17160p
Number of curves $1$
Conductor $17160$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 17160p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17160.k1 17160p1 \([0, -1, 0, 2839, 2621085]\) \(9881592513536/11607361886835\) \(-2971484643029760\) \([]\) \(115200\) \(1.6480\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17160p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17160p do not have complex multiplication.

Modular form 17160.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 4 q^{7} + q^{9} + q^{11} - q^{13} + q^{15} + 3 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display