Rational torsion of \(J_0(N)\) for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with a rational point of order 5, 7 or 10
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Publication:1766182
DOI10.1007/BF02941535zbMath1071.11037MaRDI QIDQ1766182
Franck Leprévost, Michael E. Pohst, Andreas M. Schöpp
Publication date: 28 February 2005
Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)
Rational points (14G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]
Uses Software
Cites Work
- Sequences of rational torsions on abelian varieties
- Torsion on families of curves of genus \(g\)
- Equations of hyperelliptic modular curves
- On certain torsion subgroups of Jacobians of hyperelliptic curves of genus \(g \geq 1\)
- Curves of genus 2 with a rational torsion divisor of order 23
- Large rational torsion on abelian varieties
- Jacobians of some curves of genus 2: torsion and simplicity
- Bounds for the torsion of elliptic curves over number fields
- Weierstraß points of \(\Gamma_ 0(n)\)
- Arithmetic variety of moduli for genus two
- 5-TORSION POINTS ON CURVES OF GENUS 2
- Courbes modulaires et 11-rang de corps quadratiques
- Modular equations of hyperelliptic X₀(N) and an application
- Examples of torsion points on genus two curves
- Sur une conjecture sur les points de torsion rationnels des jacobiennes de courbes.
- Large torsion subgroups of split Jacobians of curves of genus two or three
- CQF Magma package
- Hyperelliptic modular curves
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