Properties

Label 1110m
Number of curves $1$
Conductor $1110$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("1110.m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1110m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1110.m1 1110m1 [1, 0, 0, -281, 2361] [] 1008 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1110m1 has rank \(1\).

Modular form 1110.2.a.m

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