117 citations · 229 across the 18 of their papers we have counts for
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The arithmetic of modular grids
Michael Griffin, Paul Jenkins, Grant Molnar
A modular grid is a pair of sequences and of weakly holomorphic modular forms such that for almost all and , the coefficient of in is the neg…
Heights of points on elliptic curves over
Michael Griffin, Ken Ono, Wei-Lun Tsai
In this note we obtain effective lower bounds for the canonical heights of non-torsion points on by making use of suitable elliptic curve ideal class pairings $$Ψ_{…
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…