Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1110.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1110.b1 1110a1 \([1, 1, 0, 2, -2]\) \(357911/3330\) \(-3330\) \([]\) \(80\) \(-0.64289\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1110.b1 has rank \(1\).

Complex multiplication

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

Modular form 1110.2.a.b

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