Properties

Label 17661.i
Number of curves 1
Conductor 17661
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("17661.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 17661.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
17661.i1 17661e1 [1, 0, 1, -18, 19] [] 1440 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17661.i1 has rank \(1\).

Modular form 17661.2.a.i

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{3} - q^{4} + q^{5} + q^{6} + q^{7} - 3q^{8} + q^{9} + q^{10} + 2q^{11} - q^{12} - 2q^{13} + q^{14} + q^{15} - q^{16} - 5q^{17} + q^{18} - 2q^{19} + O(q^{20}) \)