Geodesic
Calculation of $3$-torsion ideal for some class of hyperelliptic curves
Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 13-17

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In the paper, we consider hyperelliptic curves of genus two defined by the Dickson polynomials. For such curves, we calculate the $3$-torsion ideal, namely we obtain the four generators of this ideal by using the Mumford–Cantor representation for the $3$-torsion divisor and by using of $\theta$- and $\wp$-functions.
Keywords: hyperelliptic curve, Dickson polynomial, modular equation.
Mots-clés : $l$-torsion ideal, $l$-torsion divisor 
@article{PDMA_2019_12_a2,
     author = {E. S. Malygina},
     title = {Calculation of $3$-torsion ideal for some class of hyperelliptic curves},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {13--17},
     publisher = {mathdoc},
     number = {12},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2019_12_a2/}
}
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E. S. Malygina. Calculation of $3$-torsion ideal for some class of hyperelliptic curves. Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 13-17. http://geodesic.mathdoc.fr/item/PDMA_2019_12_a2/