# The average number of integral points on the congruent number curves

@inproceedings{Chan2021TheAN, title={The average number of integral points on the congruent number curves}, author={Stephanie Chan}, year={2021} }

We show that the total number of non-torsion integral points on the curves ED : y = x − Dx, where D ranges over positive squarefree integers less than N , is ≪ N(logN).

## One Citation

### Integral points on cubic twists of Mordell curves

- MathematicsMathematische Annalen
- 2023

Fix a non-square integer $k\neq 0$. We show that the number of curves $E_B:y^2=x^3+kB^2$ containing an integral point, where $B$ ranges over positive integers less than $N$, is bounded by $O_k(N(\log…

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