Properties

Label 1098.j
Number of curves $1$
Conductor $1098$
CM no
Rank $0$

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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 \([1, -1, 1, -8, -7]\) \(-1860867/122\) \(-3294\) \([]\) \(112\) \(-0.57246\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1098.j1 has rank \(0\).

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)
 
\(q + q^{2} + q^{4} - q^{5} + 4 q^{7} + q^{8} - q^{10} + 6 q^{11} - 6 q^{13} + 4 q^{14} + q^{16} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display