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math.NT2025
Principal Well-Rounded Ideals of real quadratic fields
Morgan Smith, Ha T. N. Tran
It has been well known since Gauss that the principality of an ideal in a real quadratic field is equivalent to the solvability of a certain generalized Pell equations. In this…
math.NT2025
Well-Rounded Twists of the Ring of Integers in Cyclic Cubic Fields
Nam H. Le, Dat T. Tran, David Karpuk +1
Computing well-rounded twists of ideals in number fields has been done when the field degree is . In this paper, we develop a new algorithm to detect whether a basis of an ideal…
math.NT2025
Gross lattices of supersingular elliptic curves
Chenfeng He, Gaurish Korpal, Ha T. N. Tran +1
Let be a prime, be a supersingular elliptic curve defined over , and be its (geometric) endomorphism ring. Earlier results of Chevyrev-Gal…