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The modular curves \(X_ 0(\)65) and \(X_ 0(\)91) and rational isogeny. (English) Zbl 0479.14014


MSC:

14G05 Rational points
14H45 Special algebraic curves and curves of low genus
14H52 Elliptic curves
14K05 Algebraic theory of abelian varieties
11F03 Modular and automorphic functions
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References:

[1] Klein, Vorlesungen uber die Theories der elliptischen Modulfunktionen 2
[2] Kenku, Acta Arithmetica 33 pp 1– (1977)
[3] Kenku, Math. Proc. Cambridge Philos. Soc. 85 pp 21– (1979)
[4] Berkovic, Math. Sbornik J. 101 pp 542– (1976)
[5] Weber, Lehrbuch der Algebra III · JFM 29.0064.01
[6] Ligozat, Modular functions of one variable v pp 148– (1977)
[7] Ogg, Proc. Symp. Pure Math. 24 pp 221– (1973)
[8] DOI: 10.1112/plms/s3-7.1.334 · Zbl 0097.28701
[9] DOI: 10.1007/BF01390348 · Zbl 0386.14009
[10] DOI: 10.1070/IM1972v006n01ABEH001867 · Zbl 0248.14010
[11] Ogg, Bull. Soc. Math. France 102 pp 449– (1974)
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