↑

Properties

Label 486720.bk
Number of curves $1$
Conductor $486720$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 486720.bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 486720.bk do not have complex multiplication.

Modular form 486720.2.a.bk

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

Elliptic curves in class 486720.bk

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
486720.bk1 486720bk1 \([0, 0, 0, -76908, 19527248]\) \(-1557701041/4199040\) \(-135613887817973760\) \([]\) \(4128768\) \(1.9748\) \(\Gamma_0(N)\)-optimal