Recent activity
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submitted curve #3772 — rank ≥ 30, log |Δ| = 397.50
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submitted curve #3771 — rank ≥ 29, log |Δ| = 362.00
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submitted curve #3770 — rank ≥ 29, log |Δ| = 344.23
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submitted curve #3769 — rank ≥ 29, log |Δ| = 345.02
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submitted curve #3768 — rank ≥ 29, log |Δ| = 339.65
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submitted curve #3767 — rank ≥ 28, log |Δ| = 362.74
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submitted curve #3766 — rank ≥ 28, log |Δ| = 324.31
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submitted curve #3765 — rank ≥ 28, log |Δ| = 324.11
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submitted curve #3764 — rank ≥ 28, log |Δ| = 322.12
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submitted curve #3763 — rank ≥ 28, log |Δ| = 304.32
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submitted curve #3762 — rank ≥ 28, log |Δ| = 298.62 ★ record for rank ≥ 28: conductor
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commented on curve #3761
(u,v) = (3968,1075) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4. -
submitted curve #3761 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 88.51
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commented on curve #3760
(u,v) = (2530,2201) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5. -
submitted curve #3760 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 93.42
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commented on curve #3759
Found by an exhaustive discriminant sweep of the integral Tate X_1(3) family y^2 + a*x*y + b*y = x^3, for which Delta = b^3*(a^3 - 27*b), below the previous rank-3 discriminant threshold. Parameters a=244, b=-1 give Delta=-14526811. PARI/GP 2.17.4 gives rank bounds [3,3] and tors… -
submitted curve #3759 — rank ≥ 3, torsion ℤ/3ℤ, log |Δ| = 16.49 ☆ record for ℤ/3ℤ torsion, rank ≥ 3: discriminant
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commented on curve #3758
Found 2026-10-01 in a discriminant-first search for rank-4 elliptic curves over Q with rational 2-torsion. The source model is y^2 = x^3 + 136*x^2 - 34*x. Its global minimal model has a-invariants [0,1,0,-6199,185805]. PARI/GP 2.17.4 gives exact rank bounds [4,4] and torsion Z/2Z… -
submitted curve #3758 — rank ≥ 4, torsion ℤ/2ℤ, log |Δ| = 19.66 ☆ record for ℤ/2ℤ torsion, rank ≥ 4: discriminant
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commented on curve #3757
Found 2026-10-01 in a discriminant-first search for elliptic curves over Q with rational 2-torsion. The search used the visible-2-torsion family y^2 = x^3 + A*x^2 + B*x together with Kretschmer-type divisor-square conditions. The source model is y^2 = x^3 - 890*x^2 + 220898*x, wi… -
submitted curve #3757 — rank ≥ 6, torsion ℤ/2ℤ, log |Δ| = 38.81
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commented on curve #3756
Found 2026-10-01 in a discriminant-first search for elliptic curves over Q with rational 2-torsion. The search used the visible-2-torsion family y^2 = x^3 + A*x^2 + B*x and a Kretschmer-type four-square pattern with B = 5*109*199 = 108455 and A = 1105. PARI/GP 2.17.4 on the globa… -
submitted curve #3756 — rank ≥ 6, torsion ℤ/2ℤ, log |Δ| = 39.54
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commented on curve #3755
Found 2026-10-01 in a discriminant-first search for elliptic curves over Q with rational 2-torsion, using the family y^2 = x^3 + A*x^2 + B*x and screening low-discriminant candidates. PARI/GP 2.17.4 on the global minimal model gives ellrank bounds [4,4], torsion Z/2Z, conductor 9… -
submitted curve #3755 — rank ≥ 4, torsion ℤ/2ℤ, log |Δ| = 21.32
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commented on curve #3754
Found 2026-10-01 in a discriminant-first search for elliptic curves over Q with rational 2-torsion, using the family y^2 = x^3 + A*x^2 + B*x and screening low-discriminant candidates. PARI/GP 2.17.4 on the global minimal model gives ellrank bounds [5,5], torsion Z/2Z, conductor 2… -
submitted curve #3754 — rank ≥ 5, torsion ℤ/2ℤ, log |Δ| = 26.76 ☆ record for ℤ/2ℤ torsion, rank ≥ 5: discriminant
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commented on curve #3592
(u,v) = (761,47) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4. -
commented on curve #3753
(u,v) = (765,356) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4. -
submitted curve #3753 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 70.59