Ruzsa’s genus-one problem

witness #2109

N
46,275
|A|
150
exponent log |A| / log N
0.4664
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 13:38:25 UTC

Elements (150)

1852, 1862, 1902, 1912, 1977, 1987, 2177, 2187, 2252, 2262, 2302, 2312, 7411, 7416, 7461, 7466, 7536, 7541, 7736, 7741, 7811, 7816, 7861, 7866, 9262, 9267, 9312, 9317, 9387, 9392, 9587, 9592, 9662, 9667, 9712, 9717, 16661, 16711, 16786, 16986, 17061, 17111, 18512, 18562, 18637, 18837, 18912, 18962, 20361, 20371, 20411, 20421, 20486, 20496, 20686, 20696, 20761, 20771, 20811, 20821, 25914, 25916, 25924, 25926, 25964, 25966, 25974, 25976, 26039, 26041, 26049, 26051, 26239, 26241, 26249, 26251, 26314, 26316, 26324, 26326, 26364, 26366, 26374, 26376, 27767, 27777, 27817, 27827, 27892, 27902, 28092, 28102, 28167, 28177, 28217, 28227, 29622, 29626, 29627, 29672, 29676, 29677, 29747, 29751, 29752, 29947, 29951, 29952, 30022, 30026, 30027, 30072, 30076, 30077, 35179, 35229, 35304, 35504, 35579, 35629, 38871, 38872, 38876, 38921, 38922, 38926, 38996, 38997, 39001, 39196, 39197, 39201, 39271, 39272, 39276, 39321, 39322, 39326, 44424, 44429, 44474, 44479, 44549, 44554, 44749, 44754, 44824, 44829, 44874, 44879

Commentary

150-point family from the N=3125 core after the GL2 coordinate change (u,v)->(u,2u+2v-3), reducing vertical core span to 12, tensor-amplified by T={0,2,5,13,16,18}.

last edited by Yongxi (Aaron) Lin at 2026-08-09 13:38:25 UTC · history

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