10 problems

Conjectural factor counts for the Hasse invariant of the Tate normal form $E_7$
Let $l\neq 2,3,7$ be prime. Let $\hat H_{7,l}(x)$ be the Hasse-invariant polynomial of the Tate normal form $E_7$ over $\mathbb F_l$ , and let $h(-l)$ be the relevant class number.…
solvedFrom papersclass-numbers elliptic-curves supersingular-polynomials
0 responses
7
Apéry-like coefficient formula for class 3C supersingular polynomials
Class 3C Apéry-like conjecture.
openFrom papersapery-like-sequences moonshine supersingular-polynomials
0 responses
7
Thompson group characterization for class 3C supersingular polynomials
Thompson-group conjecture. For every prime $p$ ,
openFrom papersmoonshine sporadic-groups supersingular-polynomials
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5
Degree and linear-factor conjecture for class 3C supersingular polynomials
Class 3C supersingular-polynomial conjecture.
openFrom papersmodular-forms moonshine supersingular-polynomials
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6
General-level degree formula for supersingular polynomials
General-level degree formula conjecture.
openFrom papersmodular-forms quadratic-residues supersingular-polynomials
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5
Class-number formula for the number of linear factors at general levels
General-level linear-factor formula conjecture.
openFrom papersclass-numbers modular-forms supersingular-polynomials
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7
Resultant multiplicity conjecture for supersingular polynomials at levels 2, 3, 5 and 7
Resultant multiplicity conjecture. The following congruences hold modulo $p$ :
openFrom papersmodular-polynomials resultants supersingular-polynomials
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5
Apéry-like coefficient formulas for squares of level-5 and level-7 supersingular polynomials
Apéry-like supersingular-polynomial conjecture. For every prime $p\geq7$ ,
openFrom papersapery-like-sequences modular-forms supersingular-polynomials
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4
Harada–Norton and Held group characterization by linear supersingular factors
Sporadic-group linear-factor conjecture. For every prime $p$ ,
openFrom papersmodular-forms sporadic-groups supersingular-polynomials
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6
Heun polynomial representations for supersingular polynomials at levels 5 and 7
Heun polynomial representation conjecture. For every prime $p\geq7$ ,
openFrom papersheun-functions modular-forms supersingular-polynomials
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7