Properties

Label 111090.l
Number of curves $1$
Conductor $111090$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 111090.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111090.l1 111090k1 \([1, 1, 0, -2326184142, -43184119407564]\) \(-33602966923620213529/6324810240\) \(-262014822331562022965760\) \([]\) \(61205760\) \(3.8864\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111090.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 111090.l do not have complex multiplication.

Modular form 111090.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} + 4 q^{11} - q^{12} - 2 q^{13} + q^{14} - q^{15} + q^{16} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display