Properties

Label 117600.bo
Number of curves 11
Conductor 117600117600
CM no
Rank 11

Related objects

Downloads

Learn more

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][0, -1, 0, -32013, -12289563] 125440/2187-125440/2187 63259993043251200-63259993043251200 [][] 846720846720 1.90501.9050 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600.bo1 has rank 11.

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)
 
qq3+q92q11+6q13+O(q20)q - q^{3} + q^{9} - 2 q^{11} + 6 q^{13} + O(q^{20}) Copy content Toggle raw display