Meanings
- not comparablemathematicsInvolving multiple quadratic equations or functions
If E does not have complex multiplication (CM), by results of Ribet and Elkies concerning fields of definition of elliptic #92;mathbb#123;Q#125;-curves E is isogenous to a curve defined over a polyquadratic extension of #92;mathbb#123;Q#125;.
2015, Francesc Fité, Xavier Guitart, “Fields of definition of elliptic k-curves and the realizability of all genus 2 Sato--Tate groups over a number field”, in arXiv
Origin
Cite this entry
polyquadratic. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/polyquadratic
“polyquadratic.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/polyquadratic. Accessed November 2, 2026.
WatkinsX Dictionary, s.v. “polyquadratic,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/polyquadratic.
Source: polyquadratic on Wiktionary, CC BY-SA 4.0.