3 papers
math.NT2020
Quadratic twists of elliptic curves and class numbers
Michael Griffin, Ken Ono, Wei-Lun Tsai
For positive rank elliptic curves , we employ ideal class pairings for quadratic twists…
math.NT2020
Divisors of Modular Parametrizations of Elliptic Curves
Michael Griffin, Jonathan Hales
The modularity theorem implies that for every elliptic curve there exist rational maps from the modular curve to , where is the conductor of . Th…
math.NT2020
Elliptic curves and lower bounds for class numbers
Michael Griffin, Ken Ono
Ideal class pairings map the rational points of rank elliptic curves $E/\Q$ to the ideal class groups $\CL(-D)$ of certain imaginary quadratic fields. These pairings impl…