Properties

Label 5610.y
Number of curves 11
Conductor 56105610
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 5610.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5610.y1 5610w1 [1,1,1,86,13223][1, 1, 1, -86, 13223] 70393838689/75905555220-70393838689/75905555220 75905555220-75905555220 [][] 56005600 0.766740.76674 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5610.y1 has rank 00.

Complex multiplication

The elliptic curves in class 5610.y do not have complex multiplication.

Modular form 5610.2.a.y

sage: E.q_eigenform(10)
 
q+q2q3+q4q5q6q7+q8+q9q10q11q123q13q14+q15+q16q17+q18q19+O(q20)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - q^{7} + q^{8} + q^{9} - q^{10} - q^{11} - q^{12} - 3 q^{13} - q^{14} + q^{15} + q^{16} - q^{17} + q^{18} - q^{19} + O(q^{20}) Copy content Toggle raw display