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18.783 | Fall 2025 | Undergraduate

# Elliptic Curves

#### Lecture Notes

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18.783 F25 Full Lecture Notes: Elliptic Curves
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18.783 F25 Lecture 01 Notes: Introduction to Elliptic Curves
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18.783 F25 Lecture 01 Slides: Introduction to Elliptic Curves
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18.783 F25 Lecture 02 Notes: Elliptic Curves as Abelian Groups
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18.783 F25 Lecture 03 Notes: Finite Field Arithmetic
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18.783 F25 Lecture 03 Slides: Finite Field Arithmetic
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18.783 F25 Lecture 04 Notes: Isogenies
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18.783 F25 Lecture 04 Slides: Isogenies
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18.783 F25 Lecture 05 Notes: Isogeny Kernels and Division Polynomials
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18.783 F25 Lecture 05 Slides: Isogeny Kernels and Division Polynomials
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#### Open Textbooks

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2 MB
18.783 F25 Full Lecture Notes: Elliptic Curves

#### Problem Sets

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18.783 F25: Problem Set 01
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18.783 F25: Problem Set 02
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18.783 F25: Problem Set 03
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18.783 F25: Problem Set 04
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18.783 F25: Problem Set 05
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18.783 F25: Problem Set 06
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18.783 F25: Problem Set 07
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18.783 F25: Problem Set 08
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18.783 F25: Problem Set 09
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18.783 F25: Problem Set 10
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## Course Info

##### Instructor

- Andrew V. Sutherland

##### Departments

- Mathematics

##### As Taught In

Fall 2025

##### Level

Undergraduate

##### Topics

- Engineering
  - Computer Science
- Mathematics
  - Algebra and Number Theory
  - Computation

##### Learning Resource Types

notes Lecture Notes
menu_book Open Textbooks
assignment Problem Sets
auto_stories Readings

Browse Resources

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