On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves
From MaRDI portal
Publication:296569
DOI10.2969/jmsj/06820899zbMath1354.11067OpenAlexW2186673733MaRDI QIDQ296569
Shin-ichi Nakano, Yoshichika Iizuka, Yutaka Konomi
Publication date: 23 June 2016
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jmsj/1460727387
Quadratic extensions (11R11) Elliptic curves over global fields (11G05) Class numbers, class groups, discriminants (11R29)
Related Items (6)
On the divisibility of class numbers of imaginary quadratic fields \((\mathbb{Q}(\sqrt{D}),\mathbb{Q}(\sqrt{D+m}))\) ⋮ On the class number divisibility of pairs of imaginary quadratic fields ⋮ An application of the arithmetic of elliptic curves to the class number problem for quadratic fields ⋮ A family of pairs of imaginary cyclic fields of degree \((p-1)/2\) with both class numbers divisible by \(p\) ⋮ An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five ⋮ On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields
Uses Software
Cites Work
- Unnamed Item
- On the class numbers of certain number fields obtained from points on elliptic curves. III
- On the class numbers of certain number fields obtained from points on elliptic curves. II
- A construction for irregular discriminants
- The Magma algebra system. I: The user language
- Construction of Number Fields of Odd Degree with Class Numbers Divisible by Three, Five or by Seven
- The Arithmetic of Elliptic Curves
- Courbes elliptiques et groupes de classes d'idéaux de certaines corps quadratiques.
- An infinite family of pairs of quadratic fields Q(\sqrt D) and Q(\sqrt mD) whose class numbers are both divisible by 3
This page was built for publication: On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves
