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curve #4169
y2 + xy = x3 + x2 − 29529355863x − 486682462847007
- a-invariants
[1, 1, 0, -29529355863, -486682462847007]- c-invariants
[1417409081449, 420483017331703243]- rank (lower bound)
- ≥ 7
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
39314420086651710- discriminant (Δ)
1545623626749723448824918845924100- Faltings height
- 5.0593
- naive height
- 83.9396 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7
- primes of bad reduction
2, 3, 5, 7, 11, 13, 17, 31, 37, 61, 83, 89, 149- regulator
3646.014259230674873258730692404477494359296382592492- submitted by
- NDElkies
- submitted at
- last updated
(-113856, -37352847)(371616, -199834257)(-20061, -9870912)(2614857, -4220469876)(-24612, -14993895)(2188284, -3228118887)(-88844, -37844429)
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