We use tools from the theory of modular forms and the interplay between Eisenstein series
and eta quotients to deal with some number theoretic curiosities. We describe three of them …

Let p≥ 5 be a prime and T a Kodaira type of the special fiber of an elliptic curve. We
estimate the number of elliptic curves over Q up to height X with Kodaira type T at p. This …

We classify elliptic curves over Q with a rational point of order 2 or≥ 4 and good reduction
outside two odd primes. We also exhibit some families of elliptic curves with a rational point …

We study congruences between cuspidal modular forms and Eisenstein series at levels
which are square-free integers and for equal even weights. This generalizes our previous …

We classify elliptic curves over the rationals whose Néron model over the integers is semi-
abelian, with good reduction at p= 2, and whose Mordell–Weil group contains an element of …

GENUS 2 CURVES WITH BAD REDUCTION AT ONE ODD PRIME Page 1 Nagoya Math. J.,
(2023), 1–15 DOI 10.1017/nmj.2023.35 GENUS 2 CURVES WITH BAD REDUCTION AT ONE …

Elliptic curves with conductor having $n$ prime factorsAll logo sign_in Unia Europejska A+
CATEGORY SCIENTIFIC UNIT Institute Directory Board About us Scientific Council History …

Rozwiązywanie równań diofantycznych stanowi jedno z centralnych zagadnień teorii liczb.
Szczególnie ważna klasa tych równań, pochodząca od krzywych eliptycznych określonych …