Properties

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

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

Elliptic curves in class 1110.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1110.m1 1110m1 \([1, 0, 0, -281, 2361]\) \(-2454365649169/1035763200\) \(-1035763200\) \([]\) \(1008\) \(0.43771\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 1110.2.a.m

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