Database - ec_torsion_growth ((description not yet updated on this server))

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Query: /api/ec_torsion_growth/?_offset=0

Column	Type
degree	smallint
field	numeric[]
lmfdb_label	text
torsion	smallint[]

0. lmfdb_label: 100.a1
   {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '100.a1', 'torsion': [2, 2]}
1. lmfdb_label: 100.a1
   {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '100.a1', 'torsion': [6]}
2. lmfdb_label: 100.a1
   {'degree': 4, 'field': [2, 0, 0, -2, 1], 'lmfdb_label': '100.a1', 'torsion': [4]}
3. lmfdb_label: 100.a1
   {'degree': 4, 'field': [1, 1, 2, -1, 1], 'lmfdb_label': '100.a1', 'torsion': [2, 6]}
4. lmfdb_label: 100.a1
   {'degree': 6, 'field': [-4, 0, 0, -8, 0, 0, 1], 'lmfdb_label': '100.a1', 'torsion': [2, 6]}
5. lmfdb_label: 100.a1
   {'degree': 8, 'field': [-4, 16, -16, -8, 14, 4, -4, -2, 1], 'lmfdb_label': '100.a1', 'torsion': [2, 4]}
6. lmfdb_label: 100.a1
   {'degree': 8, 'field': [1, -2, 2, 2, -2, 2, 2, -2, 1], 'lmfdb_label': '100.a1', 'torsion': [2, 4]}
7. lmfdb_label: 100.a1
   {'degree': 8, 'field': [4, 0, -16, 0, 17, 0, -2, 0, 1], 'lmfdb_label': '100.a1', 'torsion': [12]}
8. lmfdb_label: 100.a1
   {'degree': 12, 'field': [1, 3, -9, -20, 45, 33, -70, -33, 45, 20, -9, -3, 1], 'lmfdb_label': '100.a1', 'torsion': [6, 6]}
9. lmfdb_label: 100.a1
   {'degree': 16, 'field': [1, -6, 18, -36, 47, -30, -18, 72, -95, 72, -18, -30, 47, -36, 18, -6, 1], 'lmfdb_label': '100.a1', 'torsion': [4, 4]}
10. lmfdb_label: 100.a1
    {'degree': 16, 'field': [1, -4, 4, 8, -6, -88, 332, -636, 788, -636, 332, -88, -6, 8, 4, -4, 1], 'lmfdb_label': '100.a1', 'torsion': [8]}
11. lmfdb_label: 100.a1
    {'degree': 16, 'field': [1, 6, 32, 40, 65, -16, 36, -50, 24, -70, 4, -28, 25, 0, 8, -2, 1], 'lmfdb_label': '100.a1', 'torsion': [2, 12]}
12. lmfdb_label: 100.a1
    {'degree': 16, 'field': [1, -2, 2, -8, 10, -2, 16, -18, 3, -18, 16, -2, 10, -8, 2, -2, 1], 'lmfdb_label': '100.a1', 'torsion': [2, 12]}
13. lmfdb_label: 100.a1
    {'degree': 18, 'field': [249, 1566, 4005, 5148, 2595, -2754, -5846, -2970, 2052, 3030, 435, -1080, -475, 180, 135, -12, -18, 0, 1], 'lmfdb_label': '100.a1', 'torsion': [18]}
14. lmfdb_label: 100.a2
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [2, 2]}
15. lmfdb_label: 100.a2
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '100.a2', 'torsion': [6]}
16. lmfdb_label: 100.a2
    {'degree': 4, 'field': [-1, 0, -1, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [4]}
17. lmfdb_label: 100.a2
    {'degree': 4, 'field': [16, 0, -7, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [2, 6]}
18. lmfdb_label: 100.a2
    {'degree': 6, 'field': [-4, 0, 0, -8, 0, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [6]}
19. lmfdb_label: 100.a2
    {'degree': 8, 'field': [1, 4, 6, 4, 8, -16, 2, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [2, 4]}
20. lmfdb_label: 100.a2
    {'degree': 8, 'field': [1, -2, 2, 2, -2, 2, 2, -2, 1], 'lmfdb_label': '100.a2', 'torsion': [2, 4]}
21. lmfdb_label: 100.a2
    {'degree': 8, 'field': [1, 0, 1, 0, 2, 0, -1, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [12]}
22. lmfdb_label: 100.a2
    {'degree': 12, 'field': [1, 3, -9, -20, 45, 33, -70, -33, 45, 20, -9, -3, 1], 'lmfdb_label': '100.a2', 'torsion': [3, 6]}
23. lmfdb_label: 100.a2
    {'degree': 12, 'field': [4, 0, 0, 16, 0, 0, 32, 0, 0, -8, 0, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [2, 6]}
24. lmfdb_label: 100.a2
    {'degree': 12, 'field': [4, 0, 0, -20, 0, 0, 24, 0, 0, -10, 0, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [12]}
25. lmfdb_label: 100.a2
    {'degree': 16, 'field': [1, 4, 2, -8, 2, -36, 126, -204, 199, -128, 74, -68, 72, -56, 28, -8, 1], 'lmfdb_label': '100.a2', 'torsion': [4, 4]}
26. lmfdb_label: 100.a2
    {'degree': 16, 'field': [1, 0, 16, 0, -10, 0, -36, 0, 59, 0, -36, 0, -10, 0, -4, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [8]}
27. lmfdb_label: 100.a2
    {'degree': 16, 'field': [10, -40, 116, -252, 484, -824, 1254, -1636, 1775, -1556, 1090, -612, 284, -112, 36, -8, 1], 'lmfdb_label': '100.a2', 'torsion': [2, 12]}
28. lmfdb_label: 100.a2
    {'degree': 16, 'field': [1, -2, 2, -8, 10, -2, 16, -18, 3, -18, 16, -2, 10, -8, 2, -2, 1], 'lmfdb_label': '100.a2', 'torsion': [2, 12]}
29. lmfdb_label: 100.a2
    {'degree': 18, 'field': [249, 1566, 4005, 5148, 2595, -2754, -5846, -2970, 2052, 3030, 435, -1080, -475, 180, 135, -12, -18, 0, 1], 'lmfdb_label': '100.a2', 'torsion': [18]}
30. lmfdb_label: 100.a3
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '100.a3', 'torsion': [2, 6]}
31. lmfdb_label: 100.a3
    {'degree': 4, 'field': [2, 0, 0, -2, 1], 'lmfdb_label': '100.a3', 'torsion': [4]}
32. lmfdb_label: 100.a3
    {'degree': 6, 'field': [6, -6, 10, -5, 5, -1, 1], 'lmfdb_label': '100.a3', 'torsion': [6]}
33. lmfdb_label: 100.a3
    {'degree': 8, 'field': [-4, 16, -16, -8, 14, 4, -4, -2, 1], 'lmfdb_label': '100.a3', 'torsion': [2, 12]}
34. lmfdb_label: 100.a3
    {'degree': 8, 'field': [1, -2, 2, 2, -2, 2, 2, -2, 1], 'lmfdb_label': '100.a3', 'torsion': [2, 12]}
35. lmfdb_label: 100.a3
    {'degree': 12, 'field': [1, -1, 1, 10, -5, -1, 26, -1, -5, 10, 1, -1, 1], 'lmfdb_label': '100.a3', 'torsion': [6, 6]}
36. lmfdb_label: 100.a3
    {'degree': 16, 'field': [1, -6, 18, -36, 47, -30, -18, 72, -95, 72, -18, -30, 47, -36, 18, -6, 1], 'lmfdb_label': '100.a3', 'torsion': [4, 12]}
37. lmfdb_label: 100.a3
    {'degree': 16, 'field': [1, -4, 4, 8, -6, -88, 332, -636, 788, -636, 332, -88, -6, 8, 4, -4, 1], 'lmfdb_label': '100.a3', 'torsion': [8]}
38. lmfdb_label: 100.a3
    {'degree': 18, 'field': [1, 6, -30, -4, 51, 24, -83, 138, -201, 62, 102, -132, 166, -168, 93, -34, 15, -6, 1], 'lmfdb_label': '100.a3', 'torsion': [2, 18]}
39. lmfdb_label: 100.a4
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '100.a4', 'torsion': [2, 2]}
40. lmfdb_label: 100.a4
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '100.a4', 'torsion': [6]}
41. lmfdb_label: 100.a4
    {'degree': 4, 'field': [-1, 0, -1, 0, 1], 'lmfdb_label': '100.a4', 'torsion': [12]}
42. lmfdb_label: 100.a4
    {'degree': 4, 'field': [1, 0, 3, 0, 1], 'lmfdb_label': '100.a4', 'torsion': [2, 6]}
43. lmfdb_label: 100.a4
    {'degree': 6, 'field': [6, -6, 10, -5, 5, -1, 1], 'lmfdb_label': '100.a4', 'torsion': [6]}
44. lmfdb_label: 100.a4
    {'degree': 8, 'field': [1, 4, 6, 4, 8, -16, 2, 0, 1], 'lmfdb_label': '100.a4', 'torsion': [2, 4]}
45. lmfdb_label: 100.a4
    {'degree': 8, 'field': [1, -2, 2, 2, -2, 2, 2, -2, 1], 'lmfdb_label': '100.a4', 'torsion': [2, 12]}
46. lmfdb_label: 100.a4
    {'degree': 12, 'field': [1, -1, 1, 10, -5, -1, 26, -1, -5, 10, 1, -1, 1], 'lmfdb_label': '100.a4', 'torsion': [3, 6]}
47. lmfdb_label: 100.a4
    {'degree': 12, 'field': [36, 0, -84, 0, 100, 0, -75, 0, 35, 0, -9, 0, 1], 'lmfdb_label': '100.a4', 'torsion': [2, 6]}
48. lmfdb_label: 100.a4
    {'degree': 16, 'field': [1, 4, 2, -8, 2, -36, 126, -204, 199, -128, 74, -68, 72, -56, 28, -8, 1], 'lmfdb_label': '100.a4', 'torsion': [4, 12]}
49. lmfdb_label: 100.a4
    {'degree': 16, 'field': [1, 0, 16, 0, -10, 0, -36, 0, 59, 0, -36, 0, -10, 0, -4, 0, 1], 'lmfdb_label': '100.a4', 'torsion': [24]}
50. lmfdb_label: 100.a4
    {'degree': 18, 'field': [1, 6, -30, -4, 51, 24, -83, 138, -201, 62, 102, -132, 166, -168, 93, -34, 15, -6, 1], 'lmfdb_label': '100.a4', 'torsion': [18]}
51. lmfdb_label: 100002.a1
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '100002.a1', 'torsion': [2, 2]}
52. lmfdb_label: 100002.a1
    {'degree': 4, 'field': [1792, 0, 5, 0, 1], 'lmfdb_label': '100002.a1', 'torsion': [4]}
53. lmfdb_label: 100002.a1
    {'degree': 8, 'field': [3519376, 0, 166236, 0, 3833, 0, -18, 0, 1], 'lmfdb_label': '100002.a1', 'torsion': [2, 4]}
54. lmfdb_label: 100002.a1
    {'degree': 8, 'field': [117153, -1900, 324, 3156, -1587, 8, 2, -4, 1], 'lmfdb_label': '100002.a1', 'torsion': [2, 4]}
55. lmfdb_label: 100002.a1
    {'degree': 8, 'field': [-336676, 4021, -2014, -4015, 2011, -7, 7, -4, 1], 'lmfdb_label': '100002.a1', 'torsion': [6]}
56. lmfdb_label: 100002.a1
    {'degree': 16, 'field': [163846553665536, 0, 0, 0, 916882337280, 0, -1536030720, 0, -330118031, 0, 861160, 0, 72030, 0, 40, 0, 1], 'lmfdb_label': '100002.a1', 'torsion': [8]}
57. lmfdb_label: 100002.a1
    {'degree': 16, 'field': [5195382241, 0, 695996392, 0, -16236836, 0, -39724104, 0, 1562022, 0, -39144, 0, 28, 0, -56, 0, 1], 'lmfdb_label': '100002.a1', 'torsion': [2, 6]}
58. lmfdb_label: 100002.a2
    {'degree': 2, 'field': [1786, -1, 1], 'lmfdb_label': '100002.a2', 'torsion': [2, 2]}
59. lmfdb_label: 100002.a2
    {'degree': 4, 'field': [-447, 2, -1, -2, 1], 'lmfdb_label': '100002.a2', 'torsion': [4]}
60. lmfdb_label: 100002.a2
    {'degree': 8, 'field': [94945536, 0, -530604, 0, 8463, 0, -204, 0, 1], 'lmfdb_label': '100002.a2', 'torsion': [2, 4]}
61. lmfdb_label: 100002.a2
    {'degree': 8, 'field': [3261636, 0, 131376, 0, 3973, 0, -38, 0, 1], 'lmfdb_label': '100002.a2', 'torsion': [2, 4]}
62. lmfdb_label: 100002.a2
    {'degree': 8, 'field': [-336676, 4021, -2014, -4015, 2011, -7, 7, -4, 1], 'lmfdb_label': '100002.a2', 'torsion': [6]}
63. lmfdb_label: 100002.a2
    {'degree': 16, 'field': [92592124017, -731941944, 1226151800, -987600376, 496491898, -16525544, 27731004, -19153392, 4872715, 17800, -77700, 40544, -6818, 0, 20, -8, 1], 'lmfdb_label': '100002.a2', 'torsion': [8]}
64. lmfdb_label: 100002.a2
    {'degree': 16, 'field': [1416167424, 0, -1301879040, 0, 21017710336, 0, -215251680, 0, 58513197, 0, -286840, 0, 41514, 0, 0, 0, 1], 'lmfdb_label': '100002.a2', 'torsion': [2, 6]}
65. lmfdb_label: 100005.a1
    {'degree': 3, 'field': [97, -7, -1, 1], 'lmfdb_label': '100005.a1', 'torsion': [2]}
66. lmfdb_label: 100005.a1
    {'degree': 6, 'field': [240012, 0, 484, 0, -44, 0, 1], 'lmfdb_label': '100005.a1', 'torsion': [2, 2]}
67. lmfdb_label: 100005.a1
    {'degree': 8, 'field': [-70027, 11905, -11008, -1795, 901, -7, 7, -4, 1], 'lmfdb_label': '100005.a1', 'torsion': [3]}
68. lmfdb_label: 100005.a1
    {'degree': 12, 'field': [3144821049, 2826242940, 721464806, -2860884, -25317801, -3077152, 403592, 99104, -229, -948, 26, -4, 1], 'lmfdb_label': '100005.a1', 'torsion': [4]}
69. lmfdb_label: 100005.b1
    {'degree': 3, 'field': [-83, -55, -1, 1], 'lmfdb_label': '100005.b1', 'torsion': [2]}
70. lmfdb_label: 100005.b1
    {'degree': 6, 'field': [-400020, 0, 27556, 0, -332, 0, 1], 'lmfdb_label': '100005.b1', 'torsion': [2, 2]}
71. lmfdb_label: 100005.b1
    {'degree': 8, 'field': [-44652, -10395, 9642, 1505, -749, -7, 7, -4, 1], 'lmfdb_label': '100005.b1', 'torsion': [3]}
72. lmfdb_label: 100005.b1
    {'degree': 12, 'field': [-2793489047991, 2762542402020, -643395337074, -33662701404, 7036253979, 170259168, -52111568, -750616, 221911, 1492, -614, -4, 1], 'lmfdb_label': '100005.b1', 'torsion': [4]}
73. lmfdb_label: 100005.c1
    {'degree': 3, 'field': [-10, 4, -1, 1], 'lmfdb_label': '100005.c1', 'torsion': [2]}
74. lmfdb_label: 100005.c1
    {'degree': 6, 'field': [2260, 0, 121, 0, 22, 0, 1], 'lmfdb_label': '100005.c1', 'torsion': [2, 2]}
75. lmfdb_label: 100005.c1
    {'degree': 8, 'field': [-380265, -1330815, 1333740, -5851, 2929, -7, 7, -4, 1], 'lmfdb_label': '100005.c1', 'torsion': [3]}
76. lmfdb_label: 100005.c1
    {'degree': 12, 'field': [124384000, -224953300, 52207325, 14991260, -7122855, 90532, 311881, -31508, -5073, 776, -13, -4, 1], 'lmfdb_label': '100005.c1', 'torsion': [4]}
77. lmfdb_label: 100005.d1
    {'degree': 3, 'field': [-15, -15, -1, 1], 'lmfdb_label': '100005.d1', 'torsion': [2]}
78. lmfdb_label: 100005.d1
    {'degree': 6, 'field': [60, 180, 76, -120, -62, 0, 1], 'lmfdb_label': '100005.d1', 'torsion': [2, 2]}
79. lmfdb_label: 100005.d1
    {'degree': 8, 'field': [-1775, 2300, -2420, 239, -116, -7, 7, -4, 1], 'lmfdb_label': '100005.d1', 'torsion': [3]}
80. lmfdb_label: 100005.d1
    {'degree': 12, 'field': [620003565, 0, 42187986, 0, -16123193, 0, -152068, 0, -34233, 0, 122, 0, 1], 'lmfdb_label': '100005.d1', 'torsion': [4]}
81. lmfdb_label: 100007.a1
    {'degree': 3, 'field': [-92, 35, 0, 1], 'lmfdb_label': '100007.a1', 'torsion': [2]}
82. lmfdb_label: 100007.a1
    {'degree': 6, 'field': [400028, 0, 11025, 0, 210, 0, 1], 'lmfdb_label': '100007.a1', 'torsion': [2, 2]}
83. lmfdb_label: 100007.a1
    {'degree': 8, 'field': [-207089, 7769, -6200, -3139, 1573, -7, 7, -4, 1], 'lmfdb_label': '100007.a1', 'torsion': [3]}
84. lmfdb_label: 100007.a1
    {'degree': 12, 'field': [706993790, 7690538, 324776487, 8920144, 27577881, -2887146, -1392353, 100536, 20071, -654, -155, -4, 1], 'lmfdb_label': '100007.a1', 'torsion': [4]}
85. lmfdb_label: 100008.a1
    {'degree': 3, 'field': [-222, -51, 0, 1], 'lmfdb_label': '100008.a1', 'torsion': [2]}
86. lmfdb_label: 100008.a1
    {'degree': 6, 'field': [88126, 5202, 13797, -550, 72, 0, 1], 'lmfdb_label': '100008.a1', 'torsion': [2, 2]}
87. lmfdb_label: 100008.a1
    {'degree': 8, 'field': [-867, 0, -888, 0, -102, 0, 0, 0, 1], 'lmfdb_label': '100008.a1', 'torsion': [3]}
88. lmfdb_label: 100008.a1
    {'degree': 12, 'field': [99124, -798000, 2389512, -3248296, 1960296, -651264, 120732, -13380, 1965, -460, 42, 0, 1], 'lmfdb_label': '100008.a1', 'torsion': [4]}
89. lmfdb_label: 100008.b1
    {'degree': 3, 'field': [-222, -51, 0, 1], 'lmfdb_label': '100008.b1', 'torsion': [2]}
90. lmfdb_label: 100008.b1
    {'degree': 6, 'field': [88126, 5202, 13797, -550, 72, 0, 1], 'lmfdb_label': '100008.b1', 'torsion': [2, 2]}
91. lmfdb_label: 100008.b1
    {'degree': 8, 'field': [-70227, 0, 23976, 0, -918, 0, 0, 0, 1], 'lmfdb_label': '100008.b1', 'torsion': [3]}
92. lmfdb_label: 100008.b1
    {'degree': 12, 'field': [236736, 596160, 406944, -480600, 173610, 19494, -28629, 1404, 1629, -42, -51, 0, 1], 'lmfdb_label': '100008.b1', 'torsion': [4]}
93. lmfdb_label: 10001.a1
    {'degree': 2, 'field': [-18, -1, 1], 'lmfdb_label': '10001.a1', 'torsion': [2, 2]}
94. lmfdb_label: 10001.a1
    {'degree': 4, 'field': [292, 0, 49, 0, 1], 'lmfdb_label': '10001.a1', 'torsion': [4]}
95. lmfdb_label: 10001.a1
    {'degree': 8, 'field': [20663, 7496, -7800, 656, -447, 140, -42, -4, 1], 'lmfdb_label': '10001.a1', 'torsion': [2, 4]}
96. lmfdb_label: 10001.a1
    {'degree': 8, 'field': [4096, 0, 8768, 0, 2612, 0, 137, 0, 1], 'lmfdb_label': '10001.a1', 'torsion': [2, 4]}
97. lmfdb_label: 10001.a1
    {'degree': 8, 'field': [-3, 0, 3, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '10001.a1', 'torsion': [6]}
98. lmfdb_label: 10001.a1
    {'degree': 16, 'field': [4153363002122896384, 0, 32248925612668928, 0, 503153418660032, 0, 232739342848, 0, 328718708, 0, -49506556, 0, 33557, 0, 520, 0, 1], 'lmfdb_label': '10001.a1', 'torsion': [8]}
99. lmfdb_label: 10001.a1
    {'degree': 16, 'field': [45369, 0, -21969, 0, -1728, 0, -1953, 0, 1155, 0, 48, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '10001.a1', 'torsion': [2, 6]}