Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 1098.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1098.g1 1098h1 \([1, -1, 1, 31, 49]\) \(125751501/124928\) \(-3373056\) \([]\) \(176\) \(-0.060437\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1098.g1 has rank \(1\).

Complex multiplication

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

Modular form 1098.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 3 q^{5} + q^{8} - 3 q^{10} - 2 q^{11} - 2 q^{13} + q^{16} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display