We study the eight elliptic curves whose rational points correspond to Heron triangles with two rational medians. We show that none of these triangles can have three rational medians.
The first author was supported by the Defence Science and Technology Group. The second author was supported by the NSA.
"Heron triangles with three rational medians." Rocky Mountain J. Math. 49 (2) 405 - 417, 2019. https://doi.org/10.1216/RMJ-2019-49-2-405