Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 1110.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1110.j1 1110j1 \([1, 1, 1, -130, 527]\) \(-243087455521/5328000\) \(-5328000\) \([]\) \(336\) \(0.079896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1110.j1 has rank \(1\).

Complex multiplication

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

Modular form 1110.2.a.j

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