Recent activity
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commented on curve #2948
2-isogenous image of D-z6old678-077, rational kernel x=-36711517139185885084. 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;… -
submitted curve #2948 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 276.41
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commented on curve #2947
Cremona 9747f1 = LMFDB 9747.d2: https://www.lmfdb.org/EllipticCurve/Q/9747/d/2 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 9747, minimal discriminant -3518667, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2947 — rank ≥ 2, torsion ℤ/3ℤ, log |Δ| = 15.07
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commented on curve #2946
2-isogenous image of D-z6old678-080, rational kernel x=369145749764614618976. 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;… -
submitted curve #2946 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 292.08
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commented on curve #2945
2-isogenous image of D-z6old678-035, rational kernel x=127566650300506323791/4. 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 relation… -
submitted curve #2945 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 273.60
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commented on curve #2944
Cremona 189926b1 = LMFDB 189926.a1: https://www.lmfdb.org/EllipticCurve/Q/189926/a/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 189926, minimal discriminant 4178372, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
commented on curve #2943
2-isogenous image of D-z6old678-057, rational kernel x=65951374575037388855. 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; … -
submitted curve #2943 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 277.41
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submitted curve #2944 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 15.25
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commented on curve #2942
2-isogenous image of D-z6old678-081, rational kernel x=187326769206971886920. 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;… -
submitted curve #2942 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 285.50
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commented on curve #2941
2-isogenous image of D-z6old678-036, rational kernel x=-193404925306860615997. 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… -
submitted curve #2941 — rank ≥ 8, torsion ℤ/6ℤ, log |Δ| = 279.50
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commented on curve #2940
Cremona 279775c1 = LMFDB 279775.c2: https://www.lmfdb.org/EllipticCurve/Q/279775/c/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 279775, minimal discriminant 26578625, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2940 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 17.10
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commented on curve #2939
2-isogenous to curve#2085 via the rational 2-torsion point x=45357110. 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 independ… -
submitted curve #2939 — rank ≥ 7, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 103.72
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commented on curve #2938
2-isogenous to curve#2101 via the rational 2-torsion point x=16256659. 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 independ… -
submitted curve #2938 — rank ≥ 7, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 96.80
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commented on curve #2936
Cremona 162418c1 = LMFDB 162418.b1: https://www.lmfdb.org/EllipticCurve/Q/162418/b/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 162418, minimal discriminant 5522212, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
commented on curve #2937
2-isogenous to curve#1263 via the rational 2-torsion point x=42142183992. 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 indep… -
submitted curve #2937 — rank ≥ 7, torsion ℤ/6ℤ, log |Δ| = 155.59
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submitted curve #2936 — rank ≥ 3, torsion ℤ/2ℤ, log |Δ| = 15.52
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commented on curve #2935
Dujella - Lecacheux (2009). Source: https://dujella.github.io/tors/z5old678.html (curve entry 27). Published independent points; exact point coordinates checked. -
submitted curve #2935 — rank ≥ 7, torsion ℤ/5ℤ, log |Δ| = 159.20
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commented on curve #2934
Eroshkin (2008). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 67). Published independent points; exact point coordinates checked. -
submitted curve #2934 — rank ≥ 7, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 176.18