On real quadratic fields of class number two

Mollin, R. A.; Williams, H. C.

doi:10.1090/S0025-5718-1992-1136224-1

On real quadratic fields of class number two
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by R. A. Mollin and H. C. Williams PDF

Math. Comp. 59 (1992), 625-632 Request permission

Abstract:

It is the primary purpose of the paper to determine all real quadratic fields $Q(\sqrt d )$ of class number $h(d) = 2$ when $k \leq 24$ (with one possible exception). Here, k is the period length of the continued fraction expansion of either $\omega = \sqrt d$, in the case $d \equiv 2$ or 3 $\pmod 4$, or of $\omega = (1 + \sqrt d )/2$, in the case $d \equiv 1 \pmod 4$.

References

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Computation of the class numbers of a real quadratic field

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