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curve #300
y2 + xy = x3 − 550746640x + 4883372708096
- a-invariants
[1, 0, 0, -550746640, 4883372708096]- rank (lower bound)
- ≥ 9
- torsion subgroup
- trivial
- conductor (N)
86891283266946914562- naive height
- 71.9940
- Faltings height
- 3.8917
- discriminant (Δ)
389183972361856823597248512- primes of bad reduction
2, 3, 197, 7109, 10340706707299- regulator
108928.84584606935472898299772105279924745260252699568021- submitted by
- Warricker-hash
- submitted at
- 2026-08-23 18:41:01 UTC
- last updated
- 2026-08-23 18:41:01 UTC
Witness: 9 independent points
(-2632, 2514224)(-2749408/121, -3153123056/1331)(263192765/21904, -98151995797/3241792)(3868/9, -58207892/27)(2048, 1939088)(3236, 1768988)(248864/25, 77178352/125)(-26, 2213086)(-4864, 2731376)
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