Concepedia

Reduction Modulo Primes

Reduction Modulo Primes is a method in the study of elliptic curves that consists in mapping an elliptic curve defined over a number field to an elliptic curve over a finite field of prime order by reducing the coefficients of its defining equation modulo a prime ideal, thereby enabling the analysis of local properties and facilitating applications in arithmetic geometry and cryptography.

96

Publications

3.1K

Citations

126

Authors

88

Institutions

Publications per year

2017–2026

8

Parents

Publications

96

Torsion Points on Curves and -Adic Abelian Integrals

Robert F. Coleman · Annals of Mathematics · 1985 · 135 citations

, , +16

On the Distribution of Supersingular Primes

Étienne Fouvry, M. Ram Murty · Canadian Journal of Mathematics · 1996 · 113 citations · Full text

, , +6

ON THE BIRCH–SWINNERTON-DYER QUOTIENTS MODULO SQUARES

Bristol Research (University of Bristol) · 2006 · 111 citations · Full text

, , +13

The Mordell-Weil sieve: Proving non-existence of rational points on curves

2010 · 102 citations

, , +11

Average Frobenius Distribution of Elliptic Curves. 4 (1999) 165-183.

Chantal David, Francesco Pappalardi · International Mathematics Research Notices · 1999 · 85 citations

, , +9

1–5 of 96

Authors

126

  1. AC
    Alina Carmen Cojocaru

    Queen's University, Canada

    4 publications · 79 citations

    4

    h-index

  2. CD
    Chantal David

    Concordia University, Canada

    3 publications · 39 citations

    3

    h-index

  3. BE
    Bas Edixhoven

    Leiden University, Netherlands

    3 publications · 66 citations

    3

    h-index

  4. BD
    Byoung Du Kim

    Victoria University of Wellington, New Zealand

    3 publications · 133 citations

    3

    h-index

  5. TP
    Toniann Pitassi

    University of Toronto, Canada

    2 publications · 102 citations

    2

    h-index

1–5 of 126

Institutions

88

  1. Concordia University

    Montreal, Canada

    3 h-index

    3 publications

    63 citations

  2. University of Illinois Chicago

    Chicago, United States

    3 h-index

    3 publications

    102 citations

  3. McGill University

    Montreal, Canada

    3 h-index

    4 publications

    171 citations

  4. Université Paris-Sud

    Orsay, France

    3 h-index

    3 publications

    162 citations

  5. Princeton University

    Princeton, United States

    3 h-index

    3 publications

    156 citations

  6. Stanford University

    Stanford, United States

    3 h-index

    3 publications

    150 citations

  7. University of California, Los Angeles

    Los Angeles, United States

    3 h-index

    3 publications

    131 citations

  8. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    3 publications

    117 citations

1–8 of 88

Venues

  1. Mathematics of Computation

    MCOM · 8 publications · 189 citations

    8

    h-index

  2. 7

    h-index

  3. Pacific Journal of Mathematics

    6 publications · 276 citations

    6

    h-index

  4. Experimental Mathematics

    5 publications · 177 citations

    5

    h-index

  5. Canadian Journal of Mathematics

    4 publications · 227 citations

    4

    h-index

1–5