Elliptic curve data - 36800.bk2

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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
  intrinsic_torsion	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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '36800cq', 'Clabel': '36800cq1', 'Cnumber': 1, 'abc_quality': 1.0342185338851655, 'absD': 96468992000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [0, 0, 0, -16300, 930000], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 36800, 'degree': 76800, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4059576624323397443465768379', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 36, 'isogeny_degrees': [1, 2], 'jinv': [-116930169, 23552], 'lmfdb_iso': '36800.bk', 'lmfdb_label': '36800.bk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10, -12], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '46.6.0.a.1', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4738136001706455798576466839', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 575], [5, 14, 1472], [23, 24, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43848206462462840707965101090', 'prec': 107}, 'szpiro_ratio': 3.900697984112809, '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, 0, 0, 0, 0, -4, 0, -3, 0, 2, 0, -2, 0, 0, 0, 2, 0, -2, 0], 'aplist': [0, 0, 0, -4, 2, -2, 2, -2, 1, -2, 0, -4, 6, -10, 0, -4, 12, 8, 10, 0, -6, 12, -14, -6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 36800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '36800.bk', 'trace_hash': 1980649452452934650}
• 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': '0.060089790633081446380814390900', 'prec': 107}, 'conductor': 36800, 'gens': [[300, 4800, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4738136001706455798576466839', 'prec': 100}], 'lmfdb_label': '36800.bk2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.57503229066778026366074742003', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9951099837180297607883287416561394435', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-150, 0, 1]], 'xcoord_integral_points': [-150, 300]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '36800.bk2'}
• ec_torsion_growth •

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

  
  
  • id: 1820936
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '36800.bk2', 'torsion': [2, 2]}
  • id: 1820937
    {'degree': 4, 'field': [-151, -40, -16, 0, 1], 'lmfdb_label': '36800.bk2', 'torsion': [4]}
  • id: 1820940
    {'degree': 8, 'field': [-67500, 0, 20250, 0, -2700, 0, 30, 0, 1], 'lmfdb_label': '36800.bk2', 'torsion': [6]}
  • id: 1820938
    {'degree': 8, 'field': [4, -40, 236, -412, 257, -64, 26, -4, 1], 'lmfdb_label': '36800.bk2', 'torsion': [2, 4]}
  • id: 1820939
    {'degree': 8, 'field': [8836, 0, -1756, 0, 77, 0, -4, 0, 1], 'lmfdb_label': '36800.bk2', 'torsion': [2, 4]}
  • id: 1820941
    {'degree': 16, 'field': [-7664, -10624, -21280, 24448, 26304, 15040, -26504, 11856, -8695, 2168, -1156, 440, 94, -56, 20, -8, 1], 'lmfdb_label': '36800.bk2', 'torsion': [8]}
  • id: 1820942
    {'degree': 16, 'field': [76664914236, 1684211832, -134578854, -3156220512, 1726658316, -195507864, 93910494, -24611976, 6112657, 43384, -23606, 6136, 676, -812, 136, -8, 1], 'lmfdb_label': '36800.bk2', 'torsion': [2, 6]}
• 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: 867457
    {'conductor': 36800, 'conductor_valuation': 6, 'discriminant_valuation': 28, 'j_denominator_valuation': 10, 'kodaira_symbol': -22, 'lmfdb_label': '36800.bk2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 867458
    {'conductor': 36800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '36800.bk2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 867459
    {'conductor': 36800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '36800.bk2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1909872
    {'adelic_gens': [[1, 2, 2, 5], [25, 162, 160, 23], [10, 1, 87, 0], [3, 4, 8, 11], [93, 4, 2, 9], [181, 4, 180, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '184.12.0.?', 'conductor': 36800, 'lmfdb_label': '36800.bk2', 'prime': 0}
  • id: 162749
    {'conductor': 36800, 'elladic_image': '8.6.0.1', 'lmfdb_label': '36800.bk2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1812006
    {'lmfdb_iso': '36800.bk', 'p': 7, 'prec': 20, 'unit': 10195191291797949, 'val': 1}
  • id: 1812012
    {'lmfdb_iso': '36800.bk', 'p': 11, 'prec': 20, 'unit': 9330158688474958777, 'val': 1}
  • id: 1812010
    {'lmfdb_iso': '36800.bk', 'p': 13, 'prec': 20, 'unit': 481030507556537858585, 'val': 1}
  • id: 1812013
    {'lmfdb_iso': '36800.bk', 'p': 17, 'prec': 20, 'unit': 122758318464638248111210, 'val': 1}
  • id: 1812014
    {'lmfdb_iso': '36800.bk', 'p': 19, 'prec': 20, 'unit': 866882686921321613211981, 'val': 1}
  • id: 1812009
    {'lmfdb_iso': '36800.bk', 'p': 29, 'prec': 20, 'unit': 4462631737089139877661455070, 'val': 1}
  • id: 1812005
    {'lmfdb_iso': '36800.bk', 'p': 37, 'prec': 20, 'unit': 149247673562267689977313488305, 'val': 1}
  • id: 1812007
    {'lmfdb_iso': '36800.bk', 'p': 41, 'prec': 20, 'unit': 1996458160528712270581057496990, 'val': 1}
  • id: 1812008
    {'lmfdb_iso': '36800.bk', 'p': 43, 'prec': 20, 'unit': 9589534126391067367608317402429, 'val': 1}
  • id: 1812015
    {'lmfdb_iso': '36800.bk', 'p': 53, 'prec': 20, 'unit': 72541081920017523609703050129289, 'val': 1}
  • id: 1812018
    {'lmfdb_iso': '36800.bk', 'p': 59, 'prec': 20, 'unit': 4351181896623963246324965496072679, 'val': 1}
  • id: 1812019
    {'lmfdb_iso': '36800.bk', 'p': 61, 'prec': 20, 'unit': 3052533282060743560639517655145626, 'val': 1}
  • id: 1812004
    {'lmfdb_iso': '36800.bk', 'p': 67, 'prec': 20, 'unit': 43009030570953624113007163310261684, 'val': 1}
  • id: 1812016
    {'lmfdb_iso': '36800.bk', 'p': 73, 'prec': 20, 'unit': 39584924273986388261737459800758170, 'val': 1}
  • id: 1812011
    {'lmfdb_iso': '36800.bk', 'p': 79, 'prec': 20, 'unit': 323751649368030170663653481892326771, 'val': 1}
  • id: 1812003
    {'lmfdb_iso': '36800.bk', 'p': 83, 'prec': 20, 'unit': 903784590905643759273186958515471957, 'val': 1}
  • id: 1812017
    {'lmfdb_iso': '36800.bk', 'p': 89, 'prec': 20, 'unit': 10648892122433656274657033442180955326, 'val': 1}
  • id: 1812002
    {'lmfdb_iso': '36800.bk', 'p': 97, 'prec': 20, 'unit': 42136873643888067044937419313673930104, 'val': 1}