Ruzsa’s genus-one problem

witness #2161

N
3,350
|A|
43
exponent log |A| / log N
0.4634
status
superseded — the record is now |A| = 44
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 16:37:52 UTC

Elements (43)

10, 11, 15, 35, 36, 40, 149, 164, 174, 281, 284, 286, 294, 306, 311, 685, 710, 956, 981, 1350, 1356, 1365, 1366, 1375, 1381, 1621, 1636, 1646, 2021, 2026, 2046, 2051, 2154, 2159, 2179, 2184, 2289, 2294, 2314, 2319, 2844, 2959, 2984

Commentary

From the N=925 seed: affine-normalize to a 22-point exact code in (Z/25)^2, complete to a saturated 25-point core, use GL2(Z/25) coordinates [[18,8],[2,15]], double by a vertical +25 block, then delete seven q=134 wraparound-defect points.

last edited by Yongxi (Aaron) Lin at 2026-08-09 16:37:52 UTC · history

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