no. 3
On determining the quadratic subfields of Z 2 -extensions of complex quadratic fields
Compositio Mathematica, Tome 30 (1975) no. 3, pp. 259-271. 
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     author = {Carroll, Joseph E.},
     title = {On determining the quadratic subfields of $Z_2$-extensions of complex quadratic fields},
     journal = {Compositio Mathematica},
     pages = {259--271},
     publisher = {Noordhoff International Publishing},
     volume = {30},
     number = {3},
     year = {1975},
     mrnumber = {374082},
     zbl = {0314.12005},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1975__30_3_259_0/}
}
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Carroll, Joseph E. On determining the quadratic subfields of $Z_2$-extensions of complex quadratic fields. Compositio Mathematica, Tome 30 (1975) no. 3, pp. 259-271. http://archive.numdam.org/item/CM_1975__30_3_259_0/

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