We continue our study of the Legendre elliptic curve over function fields . When , we have previously exhibited explicit points generating a subgroup of rank and of finite, -power index. We also proved the finiteness of Ш and a class number formula: . In this paper, we compute and Ш explicitly as modules over .
An errata was posted on 31 May 2017 in an online supplement.
"Explicit points on the Legendre curve III." Algebra Number Theory 8 (10) 2471 - 2522, 2014. https://doi.org/10.2140/ant.2014.8.2471