Properties

Label 116886.bl
Number of curves $1$
Conductor $116886$
CM no
Rank $0$

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

Elliptic curves in class 116886.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.bl1 116886bj1 \([1, 0, 0, -158694, -9374320152]\) \(-187443868067/16099967224908\) \(-37962880543147496287428\) \([]\) \(10834560\) \(3.0115\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886.bl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 116886.bl do not have complex multiplication.

Modular form 116886.2.a.bl

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