Tate curve
In mathematics, the Tate curve is a curve defined over the ring of formal power series ![\mathbb {Z}](/Images/godic/202502/15/88966caeec43b2ab78068a3db33169d91133.png")
with integer coefficients. Over the open subscheme where q is invertible, the Tate curve is an elliptic curve. The Tate curve can also be defined for q as an element of a complete field of norm less than 1, in which case the formal power series converge.