Jaclyn Lang

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2026

A new perspective on the rank of Mazur's Eisenstein Hecke algebra

Jaclyn Lang, Katharina MÃ¼ller, Bharathwaj Palvannan

Let $N, p \geq 5$ be primes such that $N \equiv 1 mod p$ . We study the rank $r$ of the Hecke algebra that parametrizes modular forms of weight 2 and level $N$ that are Eisenstein…

math.NT2025

The Eisenstein ideal at prime-square level has constant rank

Jaclyn Lang, Preston Wake

Let $N$ and $p$ be prime numbers with $p \geq 5$ such that $p ∣∣ (N + 1)$ . In a previous paper, we showed that there is a cuspform $f$ of weight 2 and level $I^_{0} (N^{2})$ whose $\ell…