Properties

Label 9282j
Number of curves 11
Conductor 92829282
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 9282j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9282.n1 9282j1 [1,0,1,13,52][1, 0, 1, 13, -52] 270840023/1364454270840023/1364454 1364454-1364454 [][] 16321632 0.14059-0.14059 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9282j1 has rank 00.

Complex multiplication

The elliptic curves in class 9282j do not have complex multiplication.

Modular form 9282.2.a.j

sage: E.q_eigenform(10)
 
qq2+q3+q4+3q5q6q7q8+q93q10+q12+q13+q14+3q15+q16+q17q18+6q19+O(q20)q - q^{2} + q^{3} + q^{4} + 3 q^{5} - q^{6} - q^{7} - q^{8} + q^{9} - 3 q^{10} + q^{12} + q^{13} + q^{14} + 3 q^{15} + q^{16} + q^{17} - q^{18} + 6 q^{19} + O(q^{20}) Copy content Toggle raw display