Supersingular primes for elliptic curves over real number fields

Noam D. Elkies

Compositio Mathematica (1989)

  • Volume: 72, Issue: 2, page 165-172
  • ISSN: 0010-437X

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Elkies, Noam D.. "Supersingular primes for elliptic curves over real number fields." Compositio Mathematica 72.2 (1989): 165-172. <http://eudml.org/doc/89986>.

@article{Elkies1989,
author = {Elkies, Noam D.},
journal = {Compositio Mathematica},
keywords = {infinitely many primes of supersingular reduction; real embedding},
language = {eng},
number = {2},
pages = {165-172},
publisher = {Kluwer Academic Publishers},
title = {Supersingular primes for elliptic curves over real number fields},
url = {http://eudml.org/doc/89986},
volume = {72},
year = {1989},
}

TY - JOUR
AU - Elkies, Noam D.
TI - Supersingular primes for elliptic curves over real number fields
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 72
IS - 2
SP - 165
EP - 172
LA - eng
KW - infinitely many primes of supersingular reduction; real embedding
UR - http://eudml.org/doc/89986
ER -

References

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  1. [1] H. Davenport, Multiplicative Number Theory, 2nd ed. New York-Heidelberg -Berlin: Springer-Verlag1980. Zbl0453.10002MR606931
  2. [2] M. Deuring, Die Typen der Multiplikatorenringe elliptischer Funktionenkörper. Abh. Math. Sem. Hansischen Univ.14, (1941) 197-272. Zbl0025.02003MR5125JFM67.0107.01
  3. [3] N.D. Elkies, The existence of infinitely many supersingular primes for every elliptic curve over Q. Invent. Math.89, (1987) 561-567. Zbl0631.14024MR903384
  4. [4] B.H. Gross and D. Zagier, On singular moduli. J. Reine Angew. Math.335, (1985) 191-220. Zbl0545.10015MR772491
  5. [5] S. Lang and H. Trotter, Frobenius distributions in GL2-extensions. Lect. Notes in Math., vol. 504. Berlin-Heidelberg-New York: Springer1976. Zbl0329.12015MR568299
  6. [6] J.-P. Serre, A Course in Arithmetic. New York- Heidelberg-Berlin: Springer-Verlag1973. Zbl0256.12001MR344216

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