Properties

Label 116886.bj
Number of curves $1$
Conductor $116886$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 116886.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
116886.bj1 116886bw1 \([1, 0, 0, -428887, 117199721]\) \(-595911384446123713/60681357950976\) \(-888435761760239616\) \([]\) \(3391488\) \(2.1838\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 116886.bj1 has rank \(2\).

Complex multiplication

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

Modular form 116886.2.a.bj

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