Properties

Label 188760bk
Number of curves $1$
Conductor $188760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 188760bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.t1 188760bk1 \([0, -1, 0, 1544, 10705]\) \(210125586176/149689215\) \(-289798320240\) \([]\) \(194304\) \(0.88780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 188760bk do not have complex multiplication.

Modular form 188760.2.a.bk

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