Pregled bibliografske jedinice broj: 920235
Isogenies of non-CM elliptic curves with rational j-invariants over number fields
Isogenies of non-CM elliptic curves with rational j-invariants over number fields // Mathematical proceedings of the Cambridge Philosophical Society, 164 (2018), 1; 179-184 doi:10.1017/S0305004117000160 (međunarodna recenzija, članak, znanstveni)
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Naslov
Isogenies of non-CM elliptic curves with rational j-invariants over number fields
Autori
Najman, Filip
Izvornik
Mathematical proceedings of the Cambridge Philosophical Society (0305-0041) 164
(2018), 1;
179-184
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
elliptic curves ; isogenies
Sažetak
We unconditionally determine IQ(d), the set of possible prime degrees of cyclic Kisogneies of elliptic curves with Q-rational j-invariants and without complex multiplication over number fields K of degree ≤ d, for d ≤ 7, and give an upper bound for IQ(d) for d > 7. Assuming Serre’s uniformity conjecture, we determine IQ(d) exactly for all positive integers d.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Filip Najman
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
