Properties

Label 166410.bj
Number of curves $1$
Conductor $166410$
CM no
Rank $0$

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

Elliptic curves in class 166410.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166410.bj1 166410cr1 \([1, -1, 0, -622942314, 5984312078708]\) \(116205924655827/5242880\) \(1206170922852131709911040\) \([]\) \(86688000\) \(3.6973\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166410.bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 166410.bj do not have complex multiplication.

Modular form 166410.2.a.bj

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