An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five

DOI10.1016/j.jnt.2016.12.007zbMath1422.11221OpenAlexW2590377834WikidataQ114157387 ScholiaQ114157387MaRDI QIDQ518089

Miho Aoki, Yasuhiro Kishi

Publication date: 28 March 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.12.007

zbMATH Keywords

quadratic fieldsclass numbersquartic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (1)

A family of pairs of imaginary cyclic fields of degree \((p-1)/2\) with both class numbers divisible by \(p\)

Cites Work

• Unnamed Item
• On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves
• Existence of an infinite family of pairs of quadratic fields \(\mathbb{Q}(\sqrt{m_1D})\) and \(\mathbb{Q}(\sqrt{m_2D})\) whose class numbers are both divisible by 3 or both indivisible by 3
• A new family of imaginary quadratic fields whose class number is divisible by five
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• On a family of quadratic fields whose class numbers are divisible by five
• Note on the class numbers of certain real quadratic fields
• Real quadratic fields with class numbers divisible by \(n\)
• Real quadratic fields with class number divisible by 5 or 7
• On unramified Galois extensions of quadratic number fields
• On the divisibility of the class number of quadratic fields
• On systems of fundamental units of certain quartic fields
• On the divisibility of the class number of imaginary quadratic number fields
• Courbes elliptiques et groupes de classes d'idéaux de certaines corps quadratiques.
• On the Class Number of Relative Quadratic Fields
• A family of infinite pairs of quadratic fields Q (\sqrtD) and Q (\sqrt-D) whose class numbers are both divisible by 3
• An infinite family of pairs of quadratic fields Q(\sqrt D) and Q(\sqrt mD) whose class numbers are both divisible by 3
• Advanced Topics in Computional Number Theory

This page was built for publication: An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five