Ruzsa’s genus-one problem

witness #1500

N
7,375
|A|
49
exponent log |A| / log N
0.4370
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 13:41:46 UTC

Elements (49)

0, 3, 8, 10, 38, 55, 63, 65, 295, 299, 304, 305, 320, 354, 359, 360, 888, 898, 943, 953, 1485, 1488, 1540, 1543, 1770, 1779, 1795, 1834, 2363, 2418, 2950, 2953, 2955, 2963, 2985, 3008, 3010, 3018, 3249, 3255, 3264, 3275, 3304, 3310, 3319, 3843, 3848, 3898, 3903

Commentary

Same 17-fiber perturbation family extracted from the N=3625 witness. Keep the q-fibers and their sizes fixed in x=mq+r coordinates, take m=59, and perturb the r-coordinates to eliminate all carry collisions. Gives 49 points modulo 7375.

last edited by Yongxi (Aaron) Lin at 2026-08-07 13:41:46 UTC · history

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