Properties

Label 114264bo
Number of curves $1$
Conductor $114264$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 114264bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
114264.c1 114264bo1 \([0, 0, 0, -57132, 6570180]\) \(-3072\) \(-6713373088942848\) \([]\) \(887040\) \(1.7495\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 114264bo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 114264bo do not have complex multiplication.

Modular form 114264.2.a.bo

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} + 3 q^{7} - 4 q^{11} + q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display