Properties

Label 1126a
Number of curves 11
Conductor 11261126
CM no
Rank 22

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 1126a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1126.a1 1126a1 [1,1,0,2,4][1, -1, 0, 2, 4] 658503/9008658503/9008 9008-9008 [][] 176176 0.56044-0.56044 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1126a1 has rank 22.

Complex multiplication

The elliptic curves in class 1126a do not have complex multiplication.

Modular form 1126.2.a.a

sage: E.q_eigenform(10)
 
qq23q3+q42q5+3q63q7q8+6q9+2q103q126q13+3q14+6q15+q163q176q185q19+O(q20)q - q^{2} - 3 q^{3} + q^{4} - 2 q^{5} + 3 q^{6} - 3 q^{7} - q^{8} + 6 q^{9} + 2 q^{10} - 3 q^{12} - 6 q^{13} + 3 q^{14} + 6 q^{15} + q^{16} - 3 q^{17} - 6 q^{18} - 5 q^{19} + O(q^{20}) Copy content Toggle raw display