Where each entry of Modular polynomials for the $j$-invariant came from

back to table · edit · history · where entries came from · files

12 entries.

n value last changed by
1 x + y 2026-08-09flattening
2 -x^2*y^2 + x^3 + 1488*x^2*y + 1488*x*y^2 + y^3 - 162000*x^2 + 4077337… 2026-08-09flattening
3 -x^3*y^3 + 2232*x^3*y^2 + 2232*x^2*y^3 + x^4 - 1069956*x^3*y + 258791… 2026-08-09flattening
4 -x^5*y^4 - x^4*y^5 + 2976*x^5*y^3 + 7440*x^4*y^4 + 2976*x^3*y^5 - 253… 2026-08-09flattening
5 -x^5*y^5 + 3720*x^5*y^4 + 3720*x^4*y^5 - 4550940*x^5*y^3 + 1665999364… 2026-08-09flattening
6 x^9*y^9 - x^11*y^6 - 6696*x^9*y^8 - 6696*x^8*y^9 - x^6*y^11 + 4464*x^… 2026-08-09flattening
7 -x^7*y^7 + 5208*x^7*y^6 + 5208*x^6*y^7 - 10246068*x^7*y^5 + 312598931… 2026-08-09flattening
8 -x^10*y^10 - x^11*y^8 + 7440*x^10*y^9 + 7440*x^9*y^10 - x^8*y^11 + 59… 2026-08-09flattening
9 -x^11*y^9 - x^10*y^10 - x^9*y^11 + 6696*x^11*y^8 + 15624*x^10*y^9 + 1… 2026-08-09flattening
10 x^15*y^15 - 11160*x^15*y^14 - 11160*x^14*y^15 + 55168020*x^15*y^13 - … 2026-08-09flattening
11 -x^11*y^11 + 8184*x^11*y^10 + 8184*x^10*y^11 - 28278756*x^11*y^9 + 16… 2026-08-09flattening
12 x^19*y^19 - x^22*y^15 - 14136*x^19*y^18 - 14136*x^18*y^19 - x^15*y^22… 2026-08-09flattening