Symplectic Symmetries in Selmer Ranks of Quadratic Twists — E8 Intelligence Research
FINDING: Selmer group ranks in quadratic twist families of elliptic curves are governed by symplectic root system symmetries, with mod-2 torsion modules exhibiting congruence structures tied to Weyl group actions. | MATH: 2-Selmer rank parity in quadratic twists \(E^{(d)}: dy^2 = x^3 + ax + b\) — the parity conjecture...