Recent activity
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submitted curve #2883 — rank ≥ 6, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 134.43
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commented on curve #2882
Cremona 21216l1 = LMFDB 21216.d3: https://www.lmfdb.org/EllipticCurve/Q/21216/d/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 21216, minimal discriminant 253191744, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2882 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 19.35
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commented on curve #2881
Dujella (2001). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 70). Published independent points; exact point coordinates checked. -
submitted curve #2881 — rank ≥ 6, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 140.30
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commented on curve #2880
Dujella (2006). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 100). Published independent points; exact point coordinates checked. -
submitted curve #2880 — rank ≥ 6, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 138.60
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commented on curve #2879
Elkies–Rogers (2004), Elliptic Curves x^3+y^3=k of High Rank, §5, k=24565833, rank ≥ 6; https://arxiv.org/abs/math/0403116 -
submitted curve #2879 — rank ≥ 6, torsion ℤ/3ℤ, log |Δ| = 71.36
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commented on curve #2878
Cremona 370a2 = LMFDB 370.b2: https://www.lmfdb.org/EllipticCurve/Q/370/b/2 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 370, minimal discriminant 136900, torsion ℤ/2ℤ × ℤ/2ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2878 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 11.83
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commented on curve #2877
2-isogenous to curve#1303 via the rational 2-torsion point x=1377. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence… -
submitted curve #2877 — rank ≥ 6, torsion ℤ/2ℤ, log |Δ| = 52.04
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commented on curve #2876
Dujella (2006). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 98). Published independent points; exact point coordinates checked. -
submitted curve #2876 — rank ≥ 6, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 145.30
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commented on curve #2874
Dujella (2005). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 73). Published independent points; exact point coordinates checked. -
commented on curve #2875
Cremona 288b1 = LMFDB 288.b3: https://www.lmfdb.org/EllipticCurve/Q/288/b/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 288, minimal discriminant 419904, torsion ℤ/2ℤ × ℤ/2ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2874 — rank ≥ 6, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 149.44
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submitted curve #2875 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 12.95
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commented on curve #2873
Ansaldi - Ford - George - Mugo - Phifer (2005). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 72). Published independent points; exact point coordinates checked. -
submitted curve #2873 — rank ≥ 6, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 150.63
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commented on curve #2872
2-isogenous to curve#1235 via the rational 2-torsion point x=107. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence … -
submitted curve #2872 — rank ≥ 6, torsion ℤ/2ℤ, log |Δ| = 49.89
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commented on curve #2871
Cremona 462c2 = LMFDB 462.a3: https://www.lmfdb.org/EllipticCurve/Q/462/a/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 462, minimal discriminant 213444, torsion ℤ/2ℤ × ℤ/2ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2871 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 12.27
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commented on curve #2870
2-isogenous to curve#1297 via the rational 2-torsion point x=2105. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence… -
submitted curve #2870 — rank ≥ 6, torsion ℤ/2ℤ, log |Δ| = 54.68
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commented on curve #2869
2-isogenous image of D-z6old678-162, rational kernel x=163751652720. Source: https://dujella.github.io/tors/z6old678.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadrati… -
submitted curve #2869 — rank ≥ 6, torsion ℤ/6ℤ, log |Δ| = 162.91
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commented on curve #2868
2-isogenous to curve#1903 via the rational 2-torsion point x=131121445710117831551/4. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-cha…