Properties

Label 1098.j
Number of curves 11
Conductor 10981098
CM no
Rank 00

Related objects

Downloads

Learn more

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

Elliptic curves in class 1098.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1098.j1 1098g1 [1,1,1,8,7][1, -1, 1, -8, -7] 1860867/122-1860867/122 3294-3294 [][] 112112 0.57246-0.57246 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1098.j1 has rank 00.

Complex multiplication

The elliptic curves in class 1098.j do not have complex multiplication.

Modular form 1098.2.a.j

sage: E.q_eigenform(10)
 
q+q2+q4q5+4q7+q8q10+6q116q13+4q14+q16+3q176q19+O(q20)q + q^{2} + q^{4} - q^{5} + 4 q^{7} + q^{8} - q^{10} + 6 q^{11} - 6 q^{13} + 4 q^{14} + q^{16} + 3 q^{17} - 6 q^{19} + O(q^{20}) Copy content Toggle raw display