Properties

Label 111090.bl
Number of curves $1$
Conductor $111090$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 111090.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111090.bl1 111090bi1 \([1, 0, 1, -2783, 56306]\) \(-4503843737689/4032000\) \(-2132928000\) \([]\) \(103680\) \(0.71478\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111090.bl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 111090.bl do not have complex multiplication.

Modular form 111090.2.a.bl

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