# metadata.dc.description.abstract[].value
For modular elliptic curves over number fields of narrow class number one, and with multiplicative reduction at a collection of $p$-adic primes, we define new $p$-adic invariants. Inspired by Nekováŕ and Scholl's plectic conjectures, we believe these invariants control the Mordell-Weil group of higher rank elliptic curves and we support our expectations with numerical experiments.

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)