Recent activity
New submissions and commentary edits, newest first.
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submitted curve #94 — rank ≥ 18, naive height 210.02
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commented on curve #93
New curve of rank >= 16, found as the specialization T = 1387/2 of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier (Acta Arith. 82 (1997), sextuple {0,55,314,378,1007,1036}), located by a staged Nagao-sum sieve; submitted for its small conductor at this rank. 16… -
submitted curve #93 — rank ≥ 16, naive height 160.15
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commented on curve #92
New curve of rank >= 20 and naive height 223.316, found as the specialization T = 28917/10 (t = 28917/20) of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique definie sur Q de rang >= 22' (Acta Arith. 82 (1997), sextuple {0,55,314,378,100… -
submitted curve #92 — rank ≥ 20, naive height 223.32
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commented on curve #91
New curve of rank >= 16 and naive height 141.587, found as the specialization T = 482 (t = 241) of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique definie sur Q de rang >= 22' (Acta Arith. 82 (1997), sextuple {0,55,314,378,1007,1036}), … -
submitted curve #91 — rank ≥ 16, naive height 141.59
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commented on curve #90
New curve of rank >= 19 and naive height 198.268, found as the specialization T = 3251/8 (t = 3251/16) of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique definie sur Q de rang >= 22' (Acta Arith. 82 (1997), sextuple {0,55,314,378,1007,1… -
submitted curve #90 — rank ≥ 19, naive height 198.27
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commented on curve #89
Smallest known conductor (N = 38252643743425234347938185256) elliptic curve of rank >= 13, announced by Noam D. Elkies in 'New elliptic curves of large rank and low conductor' (preliminary report, JMM Special Session on arithmetic geometry informed by computation, Boston, January… -
submitted curve #89 — rank ≥ 13, naive height 79.41
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commented on curve #88
Smallest known conductor (N = 26145292874820119408329144) elliptic curve of rank >= 12, announced by Noam D. Elkies in 'New elliptic curves of large rank and low conductor' (preliminary report, JMM Special Session on arithmetic geometry informed by computation, Boston, January 4,… -
submitted curve #88 — rank ≥ 12, naive height 73.59
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commented on curve #87
New curve of rank >= 18 and naive height 191.96, found as the specialization T = 679/26 (t = 679/52) of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique definie sur Q de rang >= 22' (Acta Arith. 82 (1997), sextuple {0,55,314,378,1007,103… -
submitted curve #87 — rank ≥ 18, naive height 191.96
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commented on curve #86
New curve of rank >= 15 and naive height 127.13, found as the specialization T = 1043/2 (t = 1043/4) of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique definie sur Q de rang >= 22' (Acta Arith. 82 (1997), sextuple {0,55,314,378,1007,103… -
submitted curve #86 — rank ≥ 15, naive height 127.13
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commented on curve #85
New curve of rank >= 17 and naive height 164.205, found as the specialization T = 533 (i.e. t = 533/2) of the 2-parameter Mestre rank-12 family over Q(t) used by Fermigier in 'Une courbe elliptique definie sur Q de rang >= 22' (Acta Arith. 82 (1997), roots {0,55,314,378,1007,1036… -
submitted curve #85 — rank ≥ 17, naive height 164.21
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commented on curve #83
Provenance: Elkies-Watkins, Elliptic curves of large rank and small conductor (arXiv:math/0403374), Table 4 low absolute-discriminant list for r=10: [0,1,1,-1856500,1072474760], |Delta|=87950374485438204043, I=154. The submitted integral points give the rank >= 10 witness checked… -
commented on curve #84
Provenance: Elkies-Watkins, Elliptic curves of large rank and small conductor (arXiv:math/0403374), Table 4 low absolute-discriminant list for r=10: [0,0,1,-2438527,1545098346], |Delta|=103294665688000244363, I=173. The submitted integral points give the rank >= 10 witness checke… -
submitted curve #83 — rank ≥ 10, naive height 55.11
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submitted curve #84 — rank ≥ 10, naive height 55.84
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commented on curve #82
Provenance: Elkies-Watkins, Elliptic curves of large rank and small conductor (arXiv:math/0403374), Table 4 low absolute-discriminant list for r=10: [0,0,1,-1788817,843180666], |Delta|=59202439687694448757, I=176. The submitted integral points give the rank >= 10 witness checked … -
submitted curve #82 — rank ≥ 10, naive height 54.80
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commented on curve #81
Provenance: Elkies-Watkins, Elliptic curves of large rank and small conductor (arXiv:math/0403374), Table 4 low absolute-discriminant list for r=9: [0,0,1,-826609,289956150], |Delta|=172539371946838571, I=120. The submitted integral points give the rank >= 9 witness checked by th… -
submitted curve #81 — rank ≥ 9, naive height 52.49
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commented on curve #79
Provenance: Elkies-Watkins, Elliptic curves of large rank and small conductor (arXiv:math/0403374), Table 4 low absolute-discriminant list for r=9: [0,0,1,-514507,140806716], |Delta|=151673348057775877, I=126. The submitted integral points give the rank >= 9 witness checked by th… -
commented on curve #80
Provenance: Elkies-Watkins, Elliptic curves of large rank and small conductor (arXiv:math/0403374), Table 4 low absolute-discriminant list for r=9: [0,0,1,-402157,96291336], |Delta|=157107745029925477, I=131. The submitted integral points give the rank >= 9 witness checked by the… -
submitted curve #80 — rank ≥ 9, naive height 50.33