Properties

Label 188442bo
Number of curves $1$
Conductor $188442$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 188442bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188442.y1 188442bo1 \([1, -1, 0, -3858, 134072]\) \(-185193/116\) \(-3978387880884\) \([]\) \(338688\) \(1.1193\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188442bo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 188442bo do not have complex multiplication.

Modular form 188442.2.a.bo

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