Rational torsion points on Jacobians of modular curves
Hwajong Yoo
Acta Arithmetica, Tome 172 (2016), p. 299-304 / Harvested from The Polish Digital Mathematics Library
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Let p be a prime greater than 3. Consider the modular curve X₀(3p) over ℚ and its Jacobian variety J₀(3p) over ℚ. Let (3p) and (3p) be the group of rational torsion points on J₀(3p) and the cuspidal group of J₀(3p), respectively. We prove that the 3-primary subgroups of (3p) and (3p) coincide unless p ≡ 1 (mod 9) and 3(p-1)/3≡1(modp).

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:279619 
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     title = {Rational torsion points on Jacobians of modular curves},
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     volume = {172},
     year = {2016},
     pages = {299-304},
     zbl = {1337.11039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8140-12-2015}
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Hwajong Yoo. Rational torsion points on Jacobians of modular curves. Acta Arithmetica, Tome 172 (2016) pp. 299-304. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8140-12-2015/