Sudipa Mondal

collaborators

5 papers

math.NT2026

Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus

Debargha Banerjee, Dhrubajyoti Das, Srijan Das +2

We establish a lower bound for the number of non-CM Galois orbits of newforms in $S_{k} (N, I^¨)$ with non-trivial quadratic nebentypus $I^¨$ for sufficiently large weights. Extending th…

math.NT2026

Monsky Matrix and 2-Selmer rank

Shamik Das, Sudipa Mondal

In this article, we produce infinite families of non-congruent numbers in the residue class of $1, 2,$ and $3$ modulo $8$ with arbitrarily many triples or quadruples prime factors.…

math.NT2026

$2$ -Selmer groups, $2$ -class groups, and congruent numbers

Shamik Das, Debajyoti De, Sudipa Mondal

In this article, we study necessary conditions for certain square-free integers to be congruent numbers. Our method uses divisibility properties of class numbers of related imagina…

math.NT2026

A necessary condition for a congruent number of the form $8 k + 3$

Shamik Das, Sudipa Mondal

A positive square-free integer is called a \textit{congruent number} if it arises as the area of a right triangle with rational side lengths. Let $n = p_{1} p_{2} \dots p_{t} q$ be a s…

math.NT2024

Relative $p$ -class groups and $p$ -Selmer groups

Debajyoti De, Dipramit Majumdar, Sudipa Mondal

Let $E$ be an elliptic curve with $j$ -invariant $0$ or $1728$ and let $E$ be a $k^{t h}$ twist of $E$ . We show that for any prime $p$ of good reduction of $\widetilde{E}…

Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus

Monsky Matrix and 2-Selmer rank

2-Selmer groups, 2-class groups, and congruent numbers

A necessary condition for a congruent number of the form 8k+3

Relative p-class groups and p-Selmer groups

$2$ -Selmer groups, $2$ -class groups, and congruent numbers

A necessary condition for a congruent number of the form $8 k + 3$

Relative $p$ -class groups and $p$ -Selmer groups