Ruzsa’s genus-one problem

Elements (123)

5, 6, 30, 31, 155, 156, 180, 181, 380, 381, 3095, 3105, 3120, 3130, 3245, 3255, 3270, 3280, 3470, 3480, 7735, 7746, 7760, 7771, 7885, 7896, 7910, 7921, 8110, 8121, 10830, 10835, 10855, 10860, 10980, 10985, 11005, 11010, 11205, 11210, 13926, 13933, 13936, 13948, 13951, 13958, 13961, 14073, 14076, 14083, 14086, 14098, 14101, 14108, 14111, 14298, 14301, 14308, 14311, 15471, 15480, 15496, 15505, 15621, 15630, 15646, 15655, 15846, 15855, 21658, 21663, 21671, 21683, 21688, 21696, 21808, 21813, 21821, 21833, 21838, 21846, 22033, 22038, 23206, 23215, 23231, 23240, 23356, 23365, 23381, 23390, 23581, 23590, 26310, 26335, 26460, 26485, 26685, 29396, 29401, 29421, 29426, 29546, 29551, 29571, 29576, 29771, 29776, 30940, 30951, 30965, 30976, 31090, 31101, 31115, 31126, 31315, 31326, 37138, 37163, 37288, 37313, 37513