↑

Properties

Label 474075ck
Number of curves $1$
Conductor $474075$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("ck1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 474075ck1 has rank \(0\).

Complex multiplication

The elliptic curves in class 474075ck do not have complex multiplication.

Modular form 474075.2.a.ck

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{4} + 5 q^{11} - 5 q^{13} + 4 q^{16} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 474075ck

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
474075.ck1 474075ck1 \([0, 0, 1, 20006700, 162801809406]\) \(660867352100864/8926548046875\) \(-11962428123446795654296875\) \([]\) \(106168320\) \(3.4927\) \(\Gamma_0(N)\)-optimal