Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 1098.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1098.i1 1098i1 \([1, -1, 1, -8213, 291053]\) \(-84033427451401/863502336\) \(-629493202944\) \([]\) \(1824\) \(1.0819\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1098.i1 has rank \(1\).

Complex multiplication

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

Modular form 1098.2.a.i

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