Geodesic
An explicit construction for unramified quadratic extensions of biquadratic fields
Debopam Chakraborty 1   ; Anupam Saikia 1
1 Department of Mathematics Indian Institute of Technology Guwahati Guwahati-781039, Assam, India
Acta Arithmetica, Tome 178 (2017) no. 2, pp. 153-161 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We give a construction for everywhere unramified quadratic extensions of an infinite family of biquadratic fields by using a non-torsion point on an elliptic curve of the form $y^{2}=x^{3}+m$.
DOI : 10.4064/aa8493-10-2016
Keywords: construction everywhere unramified quadratic extensions infinite family biquadratic fields using non torsion point elliptic curve form

Debopam Chakraborty  1   ; Anupam Saikia  1

1 Department of Mathematics Indian Institute of Technology Guwahati Guwahati-781039, Assam, India 
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     title = {An explicit construction for unramified quadratic extensions of biquadratic fields},
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Debopam Chakraborty; Anupam Saikia. An explicit construction for unramified quadratic extensions of biquadratic fields. Acta Arithmetica, Tome 178 (2017) no. 2, pp. 153-161. doi: 10.4064/aa8493-10-2016

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