Properties

Label 112632.u
Number of curves 11
Conductor 112632112632
CM no
Rank 22

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Copy content sage:E = EllipticCurve("u1") E.isogeny_class()
 

Elliptic curves in class 112632.u

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112632.u1 112632g1 [0,1,0,792,40743][0, 1, 0, 792, -40743] 500000000/6908733500000000/6908733 758191994352-758191994352 [][] 115200115200 0.960250.96025 Γ0(N)\Gamma_0(N)-optimal

Rank

Copy content sage:E.rank()
 

The elliptic curve 112632.u1 has rank 22.

Complex multiplication

The elliptic curves in class 112632.u do not have complex multiplication.

Modular form 112632.2.a.u

Copy content sage:E.q_eigenform(10)
 
q+q32q7+q92q11q137q17+O(q20)q + q^{3} - 2 q^{7} + q^{9} - 2 q^{11} - q^{13} - 7 q^{17} + O(q^{20}) Copy content Toggle raw display