Recent activity
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commented on curve #3030
2-isogenous to curve#1348 via the rational 2-torsion point x=12163. 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 independenc… -
submitted curve #3030 — rank ≥ 8, torsion ℤ/2ℤ, log |Δ| = 67.90
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commented on curve #3028
Dujella - Peral - Tadic (2019). Source: https://dujella.github.io/tors/z6old678.html (curve entry 27). Published independent points; exact point coordinates checked. -
commented on curve #3029
Cremona 1260b1 = LMFDB 1260.d4: https://www.lmfdb.org/EllipticCurve/Q/1260/d/4 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 1260, minimal discriminant 3704400, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables. -
submitted curve #3028 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 204.53
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submitted curve #3029 — rank ≥ 1, torsion ℤ/6ℤ, log |Δ| = 15.13
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commented on curve #3027
Dujella - Peral (2017). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 15). Published independent points; exact point coordinates checked. -
submitted curve #3027 — rank ≥ 8, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 224.26
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commented on curve #3026
2-isogenous image of D-z6old678-050, rational kernel x=-88697342525360. 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; quadr… -
submitted curve #3026 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 204.22
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commented on curve #3025
Cremona 910c1 = LMFDB 910.a4: https://www.lmfdb.org/EllipticCurve/Q/910/a/4 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 910, minimal discriminant 2153060, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables. -
submitted curve #3025 — rank ≥ 1, torsion ℤ/6ℤ, log |Δ| = 14.58
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commented on curve #3024
2-isogenous to curve#1349 via the rational 2-torsion point x=30203. 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 independenc… -
submitted curve #3024 — rank ≥ 8, torsion ℤ/2ℤ, log |Δ| = 69.09
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commented on curve #3023
2-isogenous image of D-z6old678-059, rational kernel x=-146458586456760. 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; quad… -
submitted curve #3023 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 200.16
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commented on curve #3021
Eroshkin (2009). Source: https://dujella.github.io/tors/z5old678.html (curve entry 2). Published independent points; exact point coordinates checked. -
commented on curve #3022
Cremona 1610d1 = LMFDB 1610.c3: https://www.lmfdb.org/EllipticCurve/Q/1610/c/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 1610, minimal discriminant 12622400, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables. -
submitted curve #3021 — rank ≥ 8, torsion ℤ/5ℤ, log |Δ| = 245.40
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submitted curve #3022 — rank ≥ 1, torsion ℤ/6ℤ, log |Δ| = 16.35
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commented on curve #3020
2-isogenous image of D-z6old678-066, rational kernel x=-236532652199492. 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; quad… -
submitted curve #3020 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 204.80
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commented on curve #3019
2-isogenous to curve#1350 via the rational 2-torsion point x=15443. 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 independenc… -
submitted curve #3019 — rank ≥ 8, torsion ℤ/2ℤ, log |Δ| = 66.68
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commented on curve #3018
Cremona 870c1 = LMFDB 870.c3: https://www.lmfdb.org/EllipticCurve/Q/870/c/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 870, minimal discriminant 10570500, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables. -
submitted curve #3018 — rank ≥ 1, torsion ℤ/6ℤ, log |Δ| = 16.17
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commented on curve #3017
2-isogenous to curve#1352 via the rational 2-torsion point x=23857. 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 independenc… -
submitted curve #3017 — rank ≥ 8, torsion ℤ/2ℤ, log |Δ| = 71.49
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commented on curve #3016
2-isogenous image of D-z6old678-030, rational kernel x=345678105543668. 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; quadr… -
submitted curve #3016 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 212.06