Elliptic curves over imaginary biquadratic number fields of class number one

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Zakariae Cheddour
Abdelhakim Chillali
Ali Mouhib

Abstract

This research investigates elliptic curves within an imaginary biquadratic number field ℵ of class number one. Our study focuses on the existence of torsion subgroups isomorphic to G11, G13, G14, G15, G16, G18, G2 ⊕ G10, and G2 ⊕ G12 over ℵ.

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How to Cite
Cheddour, Z., Abdelhakim Chillali, & Ali Mouhib. (2025). Elliptic curves over imaginary biquadratic number fields of class number one. Gulf Journal of Mathematics, 19(1), 75-92. https://doi.org/10.56947/gjom.v19i1.2430
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