Properties

Label 225400.bu
Number of curves $1$
Conductor $225400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 225400.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
225400.bu1 225400ba1 \([0, 1, 0, -34708, -2515787]\) \(-157216000/1127\) \(-33147605750000\) \([]\) \(663552\) \(1.4268\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 225400.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 225400.bu do not have complex multiplication.

Modular form 225400.2.a.bu

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