Moduli of Elliptic Curves

views

real snap r real points s

Drag the orbit points in views 1–2, or the lattice points in view 6 (never across ℝ), to move the curve. Click empty space in views 1–2 to pick a fundamental domain. t snaps the selected generator into |Re| ≤ ½. r snaps τ to the locus of real curves; w switches the real structure; s shows the real points of E; m snaps τ onto a nearby orbifold point (j = 0 or 1728). Drag the torus / sphere to rotate; drag the j-marker on the sphere to move the curve. Scroll to zoom the plane views.