Properties

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

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 188760bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.j1 188760bg1 \([0, -1, 0, -2361, -43635]\) \(-47007837184/316875\) \(-9815520000\) \([]\) \(147456\) \(0.75222\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760bg1 has rank \(1\).

Complex multiplication

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

Modular form 188760.2.a.bg

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