Elliptic curve data - 185.b1

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

  
  {'Ciso': '185b', 'Clabel': '185b1', 'Cnumber': 1, 'abc_quality': 0.9451735329397746, 'absD': 925, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 74, 'ainvs': [0, -1, 1, -5, 6], 'analytic_rank': 1, 'bad_primes': [5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 185, 'degree': 8, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.67538415321972720066599978591', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [16777216, 925], 'lmfdb_iso': '185.b', 'lmfdb_label': '185.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -5, 6], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['74.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.11027896722156539241103591219', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 2, 37], [5, 6, 37], [37, 38, 5]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67538415321972720066599978591', 'prec': 107}, 'szpiro_ratio': 3.1866663673618634, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, -2, 1, 0, -3, 0, -2, 0, -5, 2, 4, 0, -1, 4, -4, 0, -8, -2], 'aplist': [0, -1, 1, -3, -5, 4, -4, -8, 4, 4, 2, 1, -5, -6, 9, 3, -8, -10, -4, 5, -15, -14, 11, -2, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 185, 'isogeny_matrix': [[1]], 'lmfdb_iso': '185.b', 'trace_hash': 831658024190535594}
• 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': '3.8603903543726422381792679108', 'prec': 100}, 'conductor': 185, 'gens': [[0, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.11027896722156539241103591219', 'prec': 103}], 'lmfdb_label': '185.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '4.8983715400719321188797665847', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0803747090132827844305396370084510494', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [0, 2, 6]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 2, 0], '3': [3, 0], '5': [8, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '185.b1'}
• ec_torsion_growth •

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

  
  
  • id: 7314
    {'degree': 3, 'field': [1, -3, -1, 1], 'lmfdb_label': '185.b1', 'torsion': [2]}
  • id: 7315
    {'degree': 6, 'field': [1, -5, 0, 9, -2, -3, 1], 'lmfdb_label': '185.b1', 'torsion': [2, 2]}
  • id: 7316
    {'degree': 8, 'field': [-16, -236, 206, 59, -26, -7, 7, -4, 1], 'lmfdb_label': '185.b1', 'torsion': [3]}
  • id: 7317
    {'degree': 12, 'field': [-283, -466, 444, -104, -411, 540, -524, 336, -149, 30, 4, -4, 1], 'lmfdb_label': '185.b1', 'torsion': [4]}
• 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: 1462
    {'conductor': 185, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '185.b1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1463
    {'conductor': 185, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '185.b1', 'prime': 37, '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

  
  {'adelic_gens': [[39, 2, 39, 3], [73, 2, 72, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 73, 0]], 'adelic_image': '74.2.0.?', 'conductor': 185, 'lmfdb_label': '185.b1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1272
    {'lmfdb_iso': '185.b', 'p': 7, 'prec': 20, 'unit': 8344169847405996, 'val': 1}
  • id: 1271
    {'lmfdb_iso': '185.b', 'p': 11, 'prec': 20, 'unit': 7083260393318934655, 'val': 1}
  • id: 1276
    {'lmfdb_iso': '185.b', 'p': 13, 'prec': 20, 'unit': 642296984730896371208, 'val': 1}
  • id: 1278
    {'lmfdb_iso': '185.b', 'p': 17, 'prec': 20, 'unit': 68584980219113595359965, 'val': 1}
  • id: 1279
    {'lmfdb_iso': '185.b', 'p': 19, 'prec': 20, 'unit': 1195076581448944823317652, 'val': 1}
  • id: 1283
    {'lmfdb_iso': '185.b', 'p': 23, 'prec': 20, 'unit': 34159129038761474019885753, 'val': 1}
  • id: 1275
    {'lmfdb_iso': '185.b', 'p': 29, 'prec': 20, 'unit': 1640367448413745941263000763, 'val': 1}
  • id: 1289
    {'lmfdb_iso': '185.b', 'p': 31, 'prec': 20, 'unit': 13981182450143821765686612483, 'val': 1}
  • id: 1273
    {'lmfdb_iso': '185.b', 'p': 41, 'prec': 20, 'unit': 1482664138308198172795725969904, 'val': 1}
  • id: 1274
    {'lmfdb_iso': '185.b', 'p': 43, 'prec': 20, 'unit': 5138909610302925922915710080855, 'val': 1}
  • id: 1286
    {'lmfdb_iso': '185.b', 'p': 47, 'prec': 20, 'unit': 26550611021102402921305481864195, 'val': 1}
  • id: 1280
    {'lmfdb_iso': '185.b', 'p': 53, 'prec': 20, 'unit': 500918016331074958270115972950346, 'val': 1}
  • id: 1281
    {'lmfdb_iso': '185.b', 'p': 59, 'prec': 20, 'unit': 3291617754776171502430597273998862, 'val': 1}
  • id: 1287
    {'lmfdb_iso': '185.b', 'p': 61, 'prec': 20, 'unit': 5723900357869043778496081225524163, 'val': 1}
  • id: 1270
    {'lmfdb_iso': '185.b', 'p': 67, 'prec': 20, 'unit': 14976071388967898011126406140232069, 'val': 1}
  • id: 1285
    {'lmfdb_iso': '185.b', 'p': 71, 'prec': 20, 'unit': 55207907542937790032738535788774267, 'val': 1}
  • id: 1282
    {'lmfdb_iso': '185.b', 'p': 73, 'prec': 20, 'unit': 250077482638550050936033276392335900, 'val': 1}
  • id: 1277
    {'lmfdb_iso': '185.b', 'p': 79, 'prec': 20, 'unit': 766825366985281951343310836017801087, 'val': 1}
  • id: 1288
    {'lmfdb_iso': '185.b', 'p': 83, 'prec': 20, 'unit': 980987825241914936111451250760366088, 'val': 1}
  • id: 1284
    {'lmfdb_iso': '185.b', 'p': 89, 'prec': 20, 'unit': 3129699499426115046481581015207042293, 'val': 1}
  • id: 1269
    {'lmfdb_iso': '185.b', 'p': 97, 'prec': 20, 'unit': 6150843554592002819169559201940519228, 'val': 1}