↑

Properties

Label 404928.w
Number of curves $1$
Conductor $404928$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("w1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 404928.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 404928.w do not have complex multiplication.

Modular form 404928.2.a.w

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

Elliptic curves in class 404928.w

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
404928.w1 404928w1 \([0, 0, 0, -8526, -303014]\) \(1469102828032/13357\) \(623184192\) \([]\) \(368640\) \(0.85227\) \(\Gamma_0(N)\)-optimal