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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("u1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 404928.u1 has rank \(0\).

Complex multiplication

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

Modular form 404928.2.a.u

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{5} - 2 q^{7} - 2 q^{11} + 6 q^{13} - 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 404928.u

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
404928.u1 404928u1 \([0, 0, 0, -10276716, -12681542576]\) \(-628086308429730457/71042997888\) \(-13576528320358514688\) \([]\) \(12644352\) \(2.6991\) \(\Gamma_0(N)\)-optimal