Elliptic curve data - 16900.p3

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '16900j', 'Clabel': '16900j1', 'Cnumber': 1, 'abc_quality': 0.9562146657916117, 'absD': 6033511250000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -5633, 113762], 'analytic_rank': 0, 'bad_primes': [2, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 16900, 'degree': 27648, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1572435394322985841530973068', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16384, 5], 'lmfdb_iso': '16900.p', 'lmfdb_label': '16900.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1, 0], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0.f.1', '20.24.0.e.1', '24.48.0.bq.1', '30.24.0.a.1', '60.96.3.bk.1', '78.24.0.?', '104.12.0.?', '120.192.9.?', '156.48.0.?', '195.8.0.?', '312.96.0.?', '390.48.0.?', '520.48.0.?', '780.192.3.?', '1560.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1609991557021684076464367877', 'prec': 103}, 'szpiro_ratio': 3.8544126653218482, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 2, 0, 2, 0, 0, 6, 4, -6, 6, 4, 2, -6, 10, -6, 6, -12, 2, 2, 12, 2, 8, 6, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 16900, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '16900.p', 'trace_hash': 1920633460515626615}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.098816856259694310387191449157', 'prec': 107}, 'conductor': 16900, 'gens': [], 'heights': [], 'lmfdb_label': '16900.p3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.70064124222651327218112916953', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2038474533590796330867750171599827903', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[22, 0, 1]], 'xcoord_integral_points': [22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '13': 'a'}, 'iwp0': 5, 'lmfdb_label': '16900.p3'}
• ec_torsion_growth •

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

  
  
  • id: 866299
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '16900.p3', 'torsion': [6]}
  • id: 866298
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '16900.p3', 'torsion': [2, 2]}
  • id: 866301
    {'degree': 4, 'field': [4, 0, -9, 0, 1], 'lmfdb_label': '16900.p3', 'torsion': [2, 6]}
  • id: 866300
    {'degree': 4, 'field': [218, 12, -24, -2, 1], 'lmfdb_label': '16900.p3', 'torsion': [4]}
  • id: 866302
    {'degree': 6, 'field': [771, -501, 40, -35, 20, -1, 1], 'lmfdb_label': '16900.p3', 'torsion': [6]}
  • id: 866304
    {'degree': 8, 'field': [841, 1102, 722, -286, 94, 26, 2, -2, 1], 'lmfdb_label': '16900.p3', 'torsion': [2, 4]}
  • id: 866305
    {'degree': 8, 'field': [3364, 0, -448, 0, 113, 0, -14, 0, 1], 'lmfdb_label': '16900.p3', 'torsion': [12]}
  • id: 866303
    {'degree': 8, 'field': [8641, 11514, 4228, -680, -349, -20, -28, -2, 1], 'lmfdb_label': '16900.p3', 'torsion': [2, 4]}
  • id: 866307
    {'degree': 12, 'field': [128881, 0, -12781, 0, 7170, 0, -125, 0, 150, 0, -1, 0, 1], 'lmfdb_label': '16900.p3', 'torsion': [2, 6]}
  • id: 866306
    {'degree': 12, 'field': [594441, -386271, 220161, 33930, -31355, 17869, 1466, -1121, 325, 50, -19, -1, 1], 'lmfdb_label': '16900.p3', 'torsion': [3, 6]}
  • id: 866310
    {'degree': 16, 'field': [-79, 2078, -15824, 27982, -4326, -5688, 6002, -12454, 831, 7160, -1298, -1494, 314, 130, -30, -4, 1], 'lmfdb_label': '16900.p3', 'torsion': [2, 12]}
  • id: 866311
    {'degree': 16, 'field': [25444, -3568, 19608, 20648, 694, 9776, 11284, -8062, 11153, -5642, 3550, -1206, 500, -110, 34, -4, 1], 'lmfdb_label': '16900.p3', 'torsion': [2, 12]}
  • id: 866309
    {'degree': 16, 'field': [469225, 1205600, 1059460, 202640, -138366, 98564, 164612, -24996, -65032, 13656, 13844, -6256, 318, 284, -44, -4, 1], 'lmfdb_label': '16900.p3', 'torsion': [8]}
  • id: 866308
    {'degree': 16, 'field': [9150625, -1663750, 151250, 1193500, -474300, 170900, 54600, -38630, 17966, -998, -728, 660, -239, 0, 8, -4, 1], 'lmfdb_label': '16900.p3', 'torsion': [4, 4]}
  • id: 866312
    {'degree': 18, 'field': [43255304, -114445080, -25482456, 112076900, -40987080, -27091836, 19601560, 2056500, -4063596, 328355, 394122, -53415, -18825, -33, 1350, 38, -45, -3, 1], 'lmfdb_label': '16900.p3', 'torsion': [18]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 376594
    {'conductor': 16900, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '16900.p3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 376595
    {'conductor': 16900, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '16900.p3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 376596
    {'conductor': 16900, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '16900.p3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1776614
    {'adelic_gens': [[1, 24, 0, 1], [1, 0, 24, 1], [7, 24, 492, 127], [1537, 24, 1536, 25], [479, 0, 0, 1559], [1041, 364, 1300, 1041], [1, 12, 12, 145], [1208, 117, 1443, 1286], [105, 1066, 494, 755], [781, 624, 312, 1249], [21, 4, 1460, 1541]], 'adelic_image': '1560.384.9.?', 'conductor': 16900, 'lmfdb_label': '16900.p3', 'prime': 0}
  • id: 79385
    {'conductor': 16900, 'elladic_image': '4.6.0.3', 'lmfdb_label': '16900.p3', 'modell_image': '2B', 'prime': 2}
  • id: 79386
    {'conductor': 16900, 'elladic_image': '3.4.0.1', 'lmfdb_label': '16900.p3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 16900.p does not appear in ec_padic