Properties

Label 117600.bo
Number of curves $1$
Conductor $117600$
CM no
Rank $1$

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

Elliptic curves in class 117600.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117600.bo1 117600ey1 \([0, -1, 0, -32013, -12289563]\) \(-125440/2187\) \(-63259993043251200\) \([]\) \(846720\) \(1.9050\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600.bo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 117600.bo do not have complex multiplication.

Modular form 117600.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 2 q^{11} + 6 q^{13} + O(q^{20})\) Copy content Toggle raw display