Properties

Label 92400.bu
Number of curves $1$
Conductor $92400$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 92400.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.bu1 92400eg1 \([0, -1, 0, 153867, 761314137]\) \(100715742101504/62663434246875\) \(-250653736987500000000\) \([]\) \(2903040\) \(2.5933\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92400.bu do not have complex multiplication.

Modular form 92400.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - q^{11} - 4q^{13} + 5q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display