5 papers · 1 filter
Tamagawa products of elliptic curves over
Michael Griffin, Ken Ono, Wei-Lun Tsai
We explicitly construct the Dirichlet series where is the proportion of elliptic…
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…
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…
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…
When are Multiples of Polygonal Numbers again Polygonal Numbers?
Jasbir S. Chahal, Michael Griffin, Nathan Priddis
Euler showed that there are infinitely many triangular numbers that are three times other triangular numbers. In general, it is an easy consequence of the Pell equation that for a…