Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("17661.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 17661i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
17661.b1 17661i1 [1, 0, 0, -1089997, 397955876] [] 686400 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Modular form 17661.2.a.b

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