I. Kodrnja

activity

20162024

collaborators

5 papers

math.NT2024

Number of Polynomials Vanishing on a Basis of $S_{m} (Γ_{0} (N))$

Iva Kodrnja, Helena Koncul

In this paper we find the number of homogeneous polynomials of degree d such that they vanish on cuspidal modular forms of even weight $m \geq 2$ that form a basis for $S_{m} (Γ_{0} (N))$ …

math.NT2021

Hilbert's Irreducibility, Modular Forms, and Computation of Certain Galois Groups

Iva Kodrnja, Goran Muić

In this paper we discuss applications of our earlier work in studying certain Galois groups and splitting fields of rational functions in $Q (X_{0} (N))$ using Hilbe…

math.NT2018

On primitive elements of algebraic function fields and models of $X_{0} (N)$

Iva Kodrnja, Goran Muić

This paper is a continuation of our previous works where we study maps from $X_{0} (N)$ , $N \geq 1$ , into $P^{2}$ constructed via modular forms of the same weight and criteria th…

math.NT2017

On a simple model of X_0(N)

Iva Kodrnja

We find plane models for all $X_{0} (N)$ , $N \geq 2$ . We observe a map from the modular curve $X_{0} (N)$ to the projective plane constructed using modular forms of weight $12$ for the gr…

math.NT2016

Eta-quotients and Embeddings of $X_{0} (N)$ in the Projective Plane

Iva Kodrnja

In this paper we find projective plane models of $X_{0} (N)$ by constructing maps from $X_{0} (N)$ to the projective plane using modular forms. We use eta-quotients of weight 12. We find…

Number of Polynomials Vanishing on a Basis of Sm​(Γ0​(N))

Hilbert's Irreducibility, Modular Forms, and Computation of Certain Galois Groups

On primitive elements of algebraic function fields and models of X0​(N)

On a simple model of X_0(N)

Eta-quotients and Embeddings of X0​(N) in the Projective Plane

Number of Polynomials Vanishing on a Basis of $S_{m} (Γ_{0} (N))$

On primitive elements of algebraic function fields and models of $X_{0} (N)$

Eta-quotients and Embeddings of $X_{0} (N)$ in the Projective Plane