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← curve #6146

Commentary history

3 edits, newest first, each shown as changes from the version before it: removed, added.

• Andrii Prokhorenkov · 2026-10-29 17:16:34 UTC

  Specialization at T = -5004/1249 of the elliptic fibration of X1152 given by: y^2 + (Lx+B)y = x(x+D)(x+E), where B = pE + qD + pq(L-p-q), L = 236727T^2 + 1698216T + 7091904, p = -2349747T^2 - 4768158T + 1680784, q = 1606404T^2 - 1744307T - 4611, D = -430215432894T^4 - 1566242357373T^3 - 3838777968231T^2 - 2986954200284T - 982738454432, E = -1369689721920T^4 - 7511308637400T^3 + 7118753331870T^2 + 4675836198635T - 2198247671215.

• Andrii Prokhorenkov · 2026-10-29 17:16:17 UTC

  Specialization at T = -5004/1249 of the elliptic fibration of X1152 given by: y^2 + (Lx+B)y = x(x+D)(x+E), where B = pE + qD + pq(L-p-q), L = 2911328406T236727T^2 + 6928464402T - 191865896041698216T + 7091904, p = 656231400T-2349747T^2 + 12817402950T - 6936424825- 4768158T + 1680784, q = 3373304103T1606404T^2 + 7256696976T- 1744307T - 19824635524611, D = -2274853591171161000T430215432894T^4 + 434584123290182250T- 1566242357373T^3 + 113843012206591094625T- 3838777968231T^2 - 53441918421661539000T2986954200284T - 8433027991559556000982738454432, E = 1539559830459485016T-1369689721920T^4 + 27867479323203099594T- 7511308637400T^3 + 80530921972321373961T7118753331870T^2 - 60113305870162561296T + 11597612763587973696+ 4675836198635T - 2198247671215.

• Andrii Prokhorenkov · 2026-10-29 16:39:12 UTC

  Specialization at T = -5004/1249 of the elliptic fibration of X1152 given by: y^2 + (Lx+B)y = x(x+D)(x+E), where B = pE + qD + pq(L-p-q), L = 2911328406T^2 + 6928464402T - 19186589604, p = 656231400T^2 + 12817402950T - 6936424825, q = 3373304103T^2 + 7256696976T - 1982463552, D = -2274853591171161000T^4 + 434584123290182250T^3 + 113843012206591094625T^2 - 53441918421661539000T - 8433027991559556000, E = 1539559830459485016T^4 + 27867479323203099594T^3 + 80530921972321373961T^2 - 60113305870162561296T + 11597612763587973696.