On the number of elliptic curves with CM cover large algebraic fields
Annales de l'Institut Fourier, Volume 55 (2005) no. 7, p. 2361-2374

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 $4$.

Les courbes elliptiques avec CM révèlent un nouveau phénomène dans la théorie des grands corps algébriques. Plutôt que de tracer une ligne entre $0$ et $1$ ou entre $1$ et $2$, elles fournissent un exemple où la ligne va de $2$ à $3$, ainsi qu’un exemple de ligne allant de $3$ à $4$

DOI : https://doi.org/10.5802/aif.2163
Classification:  12E30
Keywords: Elliptic curves with CM, large algebraic fields, absolute Galois group, Haar measure, class number
Keywords: Elliptic curves with CM, large algebraic fields, absolute Galois group, Haar measure, class number
@article{AIF_2005__55_7_2361_0,
author = {Frey, Gerhard and Jarden, Moshe},
title = {On the number of elliptic curves with CM cover large algebraic fields},
journal = {Annales de l'Institut Fourier},
publisher = {Association des Annales de l'institut Fourier},
volume = {55},
number = {7},
year = {2005},
pages = {2361-2374},
doi = {10.5802/aif.2163},
zbl = {1090.11036},
mrnumber = {2207386},
language = {en},
url = {http://www.numdam.org/item/AIF_2005__55_7_2361_0}
}

Frey, Gerhard; Jarden, Moshe. On the number of elliptic curves with CM cover large algebraic fields. Annales de l'Institut Fourier, Volume 55 (2005) no. 7, pp. 2361-2374. doi : 10.5802/aif.2163. http://www.numdam.org/item/AIF_2005__55_7_2361_0/

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