Elkies trinomial curves
id:
elkies-trinomial-curves-275-3162547
title:
Elkies trinomial curves
text:
In number theory, the Elkies trinomial curves are certain hyperelliptic curves constructed by Noam Elkies which have the property that rational points on them correspond to trinomial polynomials giving an extension of Q with particular Galois groups. One curve, C168, gives Galois group PSL(2,7) from a polynomial of degree seven, and the other, C1344, gives Galois group AL(8), the semidirect product of a 2-elementary group of order eight acted on by PSL(2, 7), giving a transitive permutation subg
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Elkies_trinomial_curves
date created:
date modified:
2021-01-14T02:12:20Z
main entity:
{"identifier":"Q3821087","url":"https://www.wikidata.org/entity/Q3821087"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5c/C168.svg","width":600,"height":500}
fields total:
13
integrity:
14