Geodesic
The Eisenstein ideal and Jacquet-Langlands isogeny over function fields
Documenta mathematica, Tome 20 (2015), pp. 551-629.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $\fp$ and $\fq$ be two distinct prime ideals of $\{F}_q[T]$. We use the Eisenstein ideal of the Hecke algebra of the Drinfeld modular curve $X_0(\fp\fq)$ to compare the rational torsion subgroup of the Jacobian $J_0(\fp\fq)$ with its subgroup generated by the cuspidal divisors, and to produce explicit examples of Jacquet-Langlands isogenies. Our results are stronger than what is currently known about the analogues of these problems over $\Q$.
Classification : 11G09, 11G18, 11F12
Keywords: Drinfeld modular curves, cuspidal divisor group, Shimura subgroup, Eisenstein ideal, Jacquet-Langlands isogeny 
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     title = {The {Eisenstein} ideal and {Jacquet-Langlands} isogeny over function fields},
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Papikian, Mihran; Wei, Fu-Tsun. The Eisenstein ideal and Jacquet-Langlands isogeny over function fields. Documenta mathematica, Tome 20 (2015), pp. 551-629. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a25/