Properties

Label 1110.f
Number of curves $1$
Conductor $1110$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("f1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1110.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1110.f1 1110e1 \([1, 0, 1, -184, 60806]\) \(-683565019129/1597684769280\) \(-1597684769280\) \([]\) \(2160\) \(1.0206\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1110.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1110.f do not have complex multiplication.

Modular form 1110.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - 5q^{11} + q^{12} + 2q^{13} - q^{14} - q^{15} + q^{16} + q^{17} - q^{18} + 6q^{19} + O(q^{20})\)  Toggle raw display