Bielliptic intermediate modular curves

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We determine which of the modular curves X-Delta(N), that is, curves lying between X-0(N) and X-1(N), are bielliptic. Somewhat surprisingly, we find that one of these curves has exceptional automorphisms. Finally we find all X-Delta(N) that have infinitely many quadratic points over Q. (C) 2019 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER
Issue Date
2020-01
Language
English
Article Type
Article
Citation

JOURNAL OF PURE AND APPLIED ALGEBRA, v.224, no.1, pp.272 - 299

ISSN
0022-4049
DOI
10.1016/j.jpaa.2019.05.007
URI
http://hdl.handle.net/10203/282127
Appears in Collection
RIMS Journal Papers
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