Properties

Label 59535.z
Number of curves 11
Conductor 5953559535
CM no
Rank 11

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Copy content sage:E = EllipticCurve("z1") E.isogeny_class()
 

Elliptic curves in class 59535.z

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59535.z1 59535r1 [0,0,1,11907,145861][0, 0, 1, 11907, -145861] 995328/625995328/625 117231566641875-117231566641875 [][] 248832248832 1.38861.3886 Γ0(N)\Gamma_0(N)-optimal

Rank

Copy content sage:E.rank()
 

The elliptic curve 59535.z1 has rank 11.

Complex multiplication

The elliptic curves in class 59535.z do not have complex multiplication.

Modular form 59535.2.a.z

Copy content sage:E.q_eigenform(10)
 
q+2q2+2q4q52q10+2q11q134q162q177q19+O(q20)q + 2 q^{2} + 2 q^{4} - q^{5} - 2 q^{10} + 2 q^{11} - q^{13} - 4 q^{16} - 2 q^{17} - 7 q^{19} + O(q^{20}) Copy content Toggle raw display