40 citations · 117 across the 23 of their papers we have counts for
4 papers · 1 filter
On a special case of Watkins' conjecture
Matija Kazalicki, Daniel Kohen
Watkins' conjecture asserts that for a rational elliptic curve the degree of the modular parametrization is divisible by , where is the rank of . In this paper we p…
Supersingular zeros of divisor polynomials of elliptic curves of prime conductor
Matija Kazalicki, Daniel Kohen
For a prime number we study the zeros modulo of divisor polynomials of rational elliptic curves of conductor . Ono made the observation that these zeros of are often…
More on Diophantine sextuples
Andrej Dujella, Matija Kazalicki
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational Diophantine quadruple…
Diophantine m-tuples in finite fields and modular forms
Andrej Dujella, Matija Kazalicki
For a prime p, a Diophantine m-tuple in is a set of m nonzero elements of with the property that the product of any two of its distinct elements is on…