Properties

Label 284592bk
Number of curves $1$
Conductor $284592$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 284592bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.bk1 284592bk1 \([0, -1, 0, 5031, -287307]\) \(78848/243\) \(-43392625613568\) \([]\) \(604800\) \(1.3001\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592bk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 284592bk do not have complex multiplication.

Modular form 284592.2.a.bk

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{9} - q^{13} + 2 q^{15} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display