A complete classification of well-rounded real quadratic ideal lattices

We provide a complete classification of well-rounded ideal lattices arising from real quadratic fields. We show that the ideals that give rise to such lattices are precisely the ones that correspond to divisors $a$ of the discriminant $d$ that satisfy $\sqrt{\frac{d}{3}}

Keywords:

• Algebra
• Pure mathematics
• Quadratic equation
• Divisor
• Lattice (order)
• Discriminant
• Mathematics

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