---
date: 2022-01-15 21:49
modification date: Thursday 17th February 2022 21:30:03
title: Mordell-Weil
aliases: [Mordell-Weil theorem, "Mazur's theorem"]

---

Last modified date: <%+ tp.file.last_modified_date() %>

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- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [Faltings theorem](Faltings%20theorem.md)
	- [Mordell-Weil rank](Unsorted/Mordell-Weil%20rank.md)
	- [Mordell conjecture](Mordell%20conjecture)
	- [Mordell-Weil group](Mordell-Weil%20group)

---

# Mordell-Weil

![](attachments/Pasted%20image%2020220217213011.png)


# Mazur's theorem

![](attachments/Pasted%20image%2020220502100726.png)

![](attachments/Pasted%20image%2020220217213051.png)


![](attachments/Pasted%20image%2020220217213147.png)