↑

Properties

Label 402800.k
Number of curves $1$
Conductor $402800$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("k1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 402800.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 402800.k do not have complex multiplication.

Modular form 402800.2.a.k

Copy content sage:E.q_eigenform(10)
 
\(q - 4 q^{7} - 3 q^{9} + 5 q^{11} - q^{13} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 402800.k

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402800.k1 402800k1 \([0, 0, 0, 4450, -1715125]\) \(38981965824/5105736715\) \(-1276434178750000\) \([]\) \(1313280\) \(1.5779\) \(\Gamma_0(N)\)-optimal