# On the number of elliptic curves with CM cover large algebraic fields

Gerhard Frey^{[1]}; Moshe Jarden^{[2]}

- [1] Essen University, Institute for Experimental Mathematics, Ellernstrasse 29, 45326 Essen (Allemagne)
- [2] Tel Aviv University, School of Mathematics, Ramat Aviv, Tel Aviv 69978 (Israël)

Annales de l'institut Fourier (2005)

- Volume: 55, Issue: 7, page 2361-2374
- ISSN: 0373-0956

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topFrey, Gerhard, and Jarden, Moshe. "On the number of elliptic curves with CM cover large algebraic fields." Annales de l'institut Fourier 55.7 (2005): 2361-2374. <http://eudml.org/doc/116256>.

@article{Frey2005,

abstract = {Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between $0$ and $1$ or $1$ and $2$ they give an example where the line goes beween $2$ and $3$ and another one where the line goes between $3$ and $4$.},

affiliation = {Essen University, Institute for Experimental Mathematics, Ellernstrasse 29, 45326 Essen (Allemagne); Tel Aviv University, School of Mathematics, Ramat Aviv, Tel Aviv 69978 (Israël)},

author = {Frey, Gerhard, Jarden, Moshe},

journal = {Annales de l'institut Fourier},

keywords = {Elliptic curves with CM; large algebraic fields; absolute Galois group; Haar measure; class number},

language = {eng},

number = {7},

pages = {2361-2374},

publisher = {Association des Annales de l'Institut Fourier},

title = {On the number of elliptic curves with CM cover large algebraic fields},

url = {http://eudml.org/doc/116256},

volume = {55},

year = {2005},

}

TY - JOUR

AU - Frey, Gerhard

AU - Jarden, Moshe

TI - On the number of elliptic curves with CM cover large algebraic fields

JO - Annales de l'institut Fourier

PY - 2005

PB - Association des Annales de l'Institut Fourier

VL - 55

IS - 7

SP - 2361

EP - 2374

AB - Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between $0$ and $1$ or $1$ and $2$ they give an example where the line goes beween $2$ and $3$ and another one where the line goes between $3$ and $4$.

LA - eng

KW - Elliptic curves with CM; large algebraic fields; absolute Galois group; Haar measure; class number

UR - http://eudml.org/doc/116256

ER -

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