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curve #249
y2 = x3 + x2 − 7547876161x + 252395109012864
- a-invariants
[0, 1, 0, -7547876161, 252395109012864]
- rank (lower bound)
- ≥ 7
- conductor (N)
47157972179791651180
- naive height
- 79.8472
- Faltings height
- 4.0983
- discriminant (Δ)
-163166583742079113082800
- primes of bad reduction
2, 5, 173, 7250701, 1879745383
- regulator
44474.28044543740170045921939315529586229390119421394
- submitted by
- Warricker-hash
- submitted at
- 2026-07-18 11:24:11 UTC
- last updated
- 2026-07-18 11:24:11 UTC
Witness: 7 independent points
(48189824/961, 158135840/29791)
(260701495/5041, -217319766793/357911)
(649819237/12321, -1381401943687/1367631)
(7223521/144, 3270905/1728)
(1254019/25, 137747/125)
(56387, 2465423)
(228211816576/4549689, -9013015684880/9704486637)
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