Elliptic curve data - 16184.d3

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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': '16184d', 'Clabel': '16184d2', 'Cnumber': 2, 'abc_quality': 1.0653400939100561, 'absD': 1211126662144, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 952, 'ainvs': [0, 0, 0, -5491, 147390], 'analytic_rank': 1, 'bad_primes': [2, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 16184, 'degree': 18432, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0680002549495478970696077112', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [740772, 49], 'lmfdb_iso': '16184.d', 'lmfdb_label': '16184.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -19, 30], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '28.12.0.b.1', '56.24.0.d.1', '68.12.0-2.a.1.1', '136.24.0.?', '476.24.0.?', '952.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3100703004420935535341002236', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.92622906754518123423618636562', 'prec': 107}, 'szpiro_ratio': 3.8637078326395757, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, -2, 0, 1, 0, -3, 0, 4, 0, 2, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 0, -2, 1, 4, 2, 0, 8, 0, -6, -8, 2, -2, -4, -8, 6, 0, 6, -4, 8, -10, -16, 8, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 16184, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '16184.d', 'trace_hash': 1474356920834109280}
• 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': '0.11812634465631978268322426135', 'prec': 103}, 'conductor': 16184, 'gens': [[563, 13248, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3100703004420935535341002236', 'prec': 100}], 'lmfdb_label': '16184.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.84843648802455787523552636680', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5052573968705987458580429254988787221', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[34, 0, 1], [51, 0, 1]], 'xcoord_integral_points': [-85, 34, 51, 563]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [5, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '16184.d3'}
• ec_torsion_growth •

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

  
  
  • id: 829212
    {'degree': 4, 'field': [2, 12, -11, -2, 1], 'lmfdb_label': '16184.d3', 'torsion': [2, 4]}
  • id: 829210
    {'degree': 4, 'field': [144, 0, 10, 0, 1], 'lmfdb_label': '16184.d3', 'torsion': [2, 4]}
  • id: 829211
    {'degree': 4, 'field': [242, -38, 39, -2, 1], 'lmfdb_label': '16184.d3', 'torsion': [2, 4]}
  • id: 829213
    {'degree': 8, 'field': [-5567, -4252, -2684, -430, -200, -22, 4, -4, 1], 'lmfdb_label': '16184.d3', 'torsion': [2, 6]}
  • id: 829217
    {'degree': 16, 'field': [-6626, 31656, 25820, -68600, -60618, 60192, 55128, -37736, -19737, 13192, 3064, -2424, -142, 224, -12, -8, 1], 'lmfdb_label': '16184.d3', 'torsion': [2, 8]}
  • id: 829214
    {'degree': 16, 'field': [109600, 273600, 238752, 126336, 219858, 83892, 64566, 22248, 22105, 936, 4698, -120, 552, -12, 36, 0, 1], 'lmfdb_label': '16184.d3', 'torsion': [4, 4]}
  • id: 829216
    {'degree': 16, 'field': [1522409, -881426, 1235052, -835534, 766802, -501264, 314066, -146202, 64147, -22156, 8466, -2570, 762, -182, 46, -8, 1], 'lmfdb_label': '16184.d3', 'torsion': [2, 8]}
  • id: 829215
    {'degree': 16, 'field': [620668217, 372404760, 269741448, 86670080, 44757744, 10491656, 4984128, 792064, 369850, 27608, 22696, 448, 976, -56, 32, 0, 1], 'lmfdb_label': '16184.d3', 'torsion': [2, 8]}
• 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: 358751
    {'conductor': 16184, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '16184.d3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 358752
    {'conductor': 16184, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '16184.d3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 358753
    {'conductor': 16184, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '16184.d3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1771647
    {'adelic_gens': [[477, 170, 0, 1], [1, 0, 4, 1], [1, 4, 0, 1], [239, 340, 0, 1], [949, 4, 948, 5], [167, 0, 0, 951], [409, 340, 34, 681]], 'adelic_image': '952.48.0.?', 'conductor': 16184, 'lmfdb_label': '16184.d3', 'prime': 0}
  • id: 75981
    {'conductor': 16184, 'elladic_image': '8.12.0.3', 'lmfdb_label': '16184.d3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 731546
    {'lmfdb_iso': '16184.d', 'p': 5, 'prec': 20, 'unit': 1109841911297, 'val': 2}
  • id: 731545
    {'lmfdb_iso': '16184.d', 'p': 11, 'prec': 20, 'unit': 8708505806715149309, 'val': 1}
  • id: 731552
    {'lmfdb_iso': '16184.d', 'p': 13, 'prec': 20, 'unit': 1116955274902172203860, 'val': 1}
  • id: 731554
    {'lmfdb_iso': '16184.d', 'p': 19, 'prec': 20, 'unit': 1292430487005503990850373, 'val': 1}
  • id: 731551
    {'lmfdb_iso': '16184.d', 'p': 29, 'prec': 20, 'unit': 69917138528643938887676630, 'val': 2}
  • id: 731548
    {'lmfdb_iso': '16184.d', 'p': 31, 'prec': 20, 'unit': 15878965835832977768697507767, 'val': 1}
  • id: 731561
    {'lmfdb_iso': '16184.d', 'p': 37, 'prec': 20, 'unit': 482874842104075968348884501602, 'val': 1}
  • id: 731549
    {'lmfdb_iso': '16184.d', 'p': 41, 'prec': 20, 'unit': 2338572435311418873133390485641, 'val': 1}
  • id: 731550
    {'lmfdb_iso': '16184.d', 'p': 43, 'prec': 20, 'unit': 9246884522505738353913048875113, 'val': 1}
  • id: 731553
    {'lmfdb_iso': '16184.d', 'p': 47, 'prec': 20, 'unit': 30525499898656756411236993469684, 'val': 1}
  • id: 731555
    {'lmfdb_iso': '16184.d', 'p': 53, 'prec': 20, 'unit': 473340686404092132438670606436113, 'val': 1}
  • id: 731560
    {'lmfdb_iso': '16184.d', 'p': 61, 'prec': 20, 'unit': 7846586501629019784668207733570494, 'val': 1}
  • id: 731544
    {'lmfdb_iso': '16184.d', 'p': 67, 'prec': 20, 'unit': 6207275821462294787786800771213950, 'val': 1}
  • id: 731547
    {'lmfdb_iso': '16184.d', 'p': 71, 'prec': 20, 'unit': 119175656305587094945081954871644240, 'val': 1}
  • id: 731556
    {'lmfdb_iso': '16184.d', 'p': 73, 'prec': 20, 'unit': 24328766886858893462272300548099762, 'val': 1}
  • id: 731559
    {'lmfdb_iso': '16184.d', 'p': 79, 'prec': 20, 'unit': 557439801144983074299473378687468505, 'val': 1}
  • id: 731557
    {'lmfdb_iso': '16184.d', 'p': 83, 'prec': 20, 'unit': 384725938001873559769270552339051839, 'val': 1}
  • id: 731558
    {'lmfdb_iso': '16184.d', 'p': 89, 'prec': 20, 'unit': 10758193798227425961158488543552763959, 'val': 1}
  • id: 731543
    {'lmfdb_iso': '16184.d', 'p': 97, 'prec': 20, 'unit': 38400975829097847817964734541935634008, 'val': 1}