22 citations · 32 across the 11 of their papers we have counts for
11 papers
The Klein-Vélu septic, 2-Division, and modular function fields of level 14
Masanobu Kaneko, Masato Kuwata
We study the 2-division of the Klein-Vélu elliptic normal septic. Its three non-zero 2-torsion points give rise to an explicit cubic equation over the function field of . We…
Bianchi's elliptic quintic curves and several modular function fields of level ten
Masanobu Kaneko, Masato Kuwata
We provide an explicit description of two torsion points on the classical Bianchi elliptic quintic curve in terms of Ramanujan's functions. As a byproduct, we describe generators a…
Ranks of elliptic curves in cyclic sextic extensions of
Hershy Kisilevsky, Masato Kuwata
For an elliptic curve we show that there are infinitely many cyclic sextic extensions such that the Mordell-Weil group has rank greater than th…
Elliptic normal curves of even degree and theta functions
Masanobu Kaneko, Masato Kuwata
An elliptic curve may be immersed in as a degree curve using level structure. In the case where is odd, there are well known classical results dati…
Mordell-Weil lattice of Inose's Elliptic surface arising from the product of 3-isogenous elliptic curves
Masato Kuwata, Kazuki Utsumi
From the product of two elliptic curves, Shioda and Inose constructed an elliptic surface having two fibers. Its Mordell-Weil lattice structure depends on the…
Inose's construction and elliptic K3 surfaces with Mordell-Weil rank 15 revisited
Abhinav Kumar, Masato Kuwata
We describe two constructions of elliptic K3 surfaces starting from the Kummer surface of the Jacobian of a genus 2 curve. These parallel the base-change constructions of Kuwata fo…