↑

Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("be1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 404928.be1 has rank \(1\).

Complex multiplication

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

Modular form 404928.2.a.be

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

Elliptic curves in class 404928.be

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
404928.be1 404928be1 \([0, 0, 0, -685836, 7013158416]\) \(-186688297520577/111076295671808\) \(-21227010665938428100608\) \([]\) \(19353600\) \(2.9632\) \(\Gamma_0(N)\)-optimal