Properties

Label 405600.bk
Number of curves $1$
Conductor $405600$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 405600.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.bk1 405600bk1 \([0, -1, 0, 9428792, -265185416588]\) \(43709080/14348907\) \(-30432595056947062200000000\) \([]\) \(114566400\) \(3.5689\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600.bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 405600.bk do not have complex multiplication.

Modular form 405600.2.a.bk

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2q^{7} + q^{9} + 4q^{11} + 6q^{17} + 7q^{19} + O(q^{20})\)  Toggle raw display