Elliptic curve data - 74382.bo2

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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': '74382bo', 'Clabel': '74382bo1', 'Cnumber': 1, 'abc_quality': 0.8955031105784524, 'absD': 754369152768, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [1, 0, 0, 2057, 21545], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 74382, 'degree': 138240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96708214479465411275272701121', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 40, 'isogeny_degrees': [1, 2], 'jinv': [8181353375, 6412032], 'lmfdb_iso': '74382.bo', 'lmfdb_label': '74382.bo2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 42, -45], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '46.6.0.a.1', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4320447629655457030061030342', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1127], [3, 4, 24794], [7, 26, 1518], [11, 12, 6762], [23, 24, 3234]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0058729297330025397999493605112', 'prec': 113}, 'szpiro_ratio': 3.075749209066978, '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, 1, 1, 1, 0, 1, 0, 1, 1, 0, -1, 1, -2, 0, 0, 1, 8, 1, 6, 0], 'aplist': [1, 1, 0, 0, -1, -2, 8, 6, 1, 6, -4, -6, 2, -6, -8, -4, 12, -10, -14, -16, -10, -14, 4, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 74382, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '74382.bo', 'trace_hash': 2292133669955067956}
• 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': '0.14454501613641996506614634527', 'prec': 103}, 'conductor': 74382, 'gens': [[-2, 133, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4320447629655457030061030342', 'prec': 100}], 'lmfdb_label': '74382.bo2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.57777449584881787642750854751', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.238383055285729049653128061969497308', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-10, 5, 1]], 'xcoord_integral_points': [-10, -2, 284]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [2, 0], '5': [1, 5, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '74382.bo2'}
• ec_torsion_growth •

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

  
  
  • id: 3521703
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '74382.bo2', 'torsion': [2, 2]}
  • id: 3521704
    {'degree': 4, 'field': [-66, -18, 19, -2, 1], 'lmfdb_label': '74382.bo2', 'torsion': [4]}
  • id: 3521705
    {'degree': 8, 'field': [3406, 874, 1435, -910, 233, -58, 13, -2, 1], 'lmfdb_label': '74382.bo2', 'torsion': [2, 4]}
  • id: 3521707
    {'degree': 8, 'field': [873870, -94092, -87690, 6041, 2908, -157, -29, -4, 1], 'lmfdb_label': '74382.bo2', 'torsion': [6]}
  • id: 3521706
    {'degree': 8, 'field': [10334648, 402852, -397025, -11574, 5588, 236, -74, -4, 1], 'lmfdb_label': '74382.bo2', 'torsion': [2, 4]}
  • id: 3521708
    {'degree': 16, 'field': [-36108936, 16441488, -13885488, 19323936, 3022098, -2789244, 2973918, 494052, -318419, 35740, 36190, -3476, -1292, 184, -8, -8, 1], 'lmfdb_label': '74382.bo2', 'torsion': [8]}
  • id: 3521709
    {'degree': 16, 'field': [2104604881488, -485212459032, -184789056996, 54297558258, 10809707940, -3146297916, -453130039, 109181868, 14867366, -2703666, -275881, 35412, 4939, -516, -26, 0, 1], 'lmfdb_label': '74382.bo2', '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: 1806520
    {'conductor': 74382, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '74382.bo2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 1806521
    {'conductor': 74382, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '74382.bo2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1806522
    {'conductor': 74382, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '74382.bo2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1806523
    {'conductor': 74382, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '74382.bo2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1806524
    {'conductor': 74382, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '74382.bo2', '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: 2155472
    {'adelic_gens': [[1, 0, 4, 1], [185, 4, 94, 9], [3, 4, 8, 11], [1, 2, 2, 5], [194, 1, 179, 0], [1, 4, 0, 1], [273, 4, 272, 5], [73, 208, 68, 207]], 'adelic_image': '276.12.0.?', 'conductor': 74382, 'lmfdb_label': '74382.bo2', 'prime': 0}
  • id: 307835
    {'conductor': 74382, 'elladic_image': '2.3.0.1', 'lmfdb_label': '74382.bo2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3822335
    {'lmfdb_iso': '74382.bo', 'p': 13, 'prec': 20, 'unit': 864652876321847380476, 'val': 1}
  • id: 3822337
    {'lmfdb_iso': '74382.bo', 'p': 17, 'prec': 20, 'unit': 159271534404726095151126, 'val': 1}
  • id: 3822338
    {'lmfdb_iso': '74382.bo', 'p': 19, 'prec': 20, 'unit': 1356839114827984265502902, 'val': 1}
  • id: 3822334
    {'lmfdb_iso': '74382.bo', 'p': 29, 'prec': 20, 'unit': 4249471522538790557353851559, 'val': 1}
  • id: 3822344
    {'lmfdb_iso': '74382.bo', 'p': 31, 'prec': 20, 'unit': 4726856273634923041743460714, 'val': 1}
  • id: 3822330
    {'lmfdb_iso': '74382.bo', 'p': 37, 'prec': 20, 'unit': 451820292094584377936797680313, 'val': 1}
  • id: 3822332
    {'lmfdb_iso': '74382.bo', 'p': 41, 'prec': 20, 'unit': 2260480117734303149844278594708, 'val': 1}
  • id: 3822333
    {'lmfdb_iso': '74382.bo', 'p': 43, 'prec': 20, 'unit': 4527898994769135544531904534835, 'val': 1}
  • id: 3822342
    {'lmfdb_iso': '74382.bo', 'p': 47, 'prec': 20, 'unit': 56526583576584619995977091958287, 'val': 1}
  • id: 3822339
    {'lmfdb_iso': '74382.bo', 'p': 53, 'prec': 20, 'unit': 539541557308322258281987714426905, 'val': 1}
  • id: 3822340
    {'lmfdb_iso': '74382.bo', 'p': 59, 'prec': 20, 'unit': 4198815188258600979763487625565599, 'val': 1}
  • id: 3822343
    {'lmfdb_iso': '74382.bo', 'p': 61, 'prec': 20, 'unit': 1141871368028122090567769738505637, 'val': 1}
  • id: 3822329
    {'lmfdb_iso': '74382.bo', 'p': 67, 'prec': 20, 'unit': 46276327347397780730733605865788701, 'val': 1}
  • id: 3822331
    {'lmfdb_iso': '74382.bo', 'p': 71, 'prec': 20, 'unit': 81146367957563441803186224753061715, 'val': 1}
  • id: 3822341
    {'lmfdb_iso': '74382.bo', 'p': 73, 'prec': 20, 'unit': 175217757833685979530059935786853684, 'val': 1}
  • id: 3822336
    {'lmfdb_iso': '74382.bo', 'p': 79, 'prec': 20, 'unit': 275719844922605261298189116599342200, 'val': 1}
  • id: 3822328
    {'lmfdb_iso': '74382.bo', 'p': 83, 'prec': 20, 'unit': 2717847776172851113017393494149428413, 'val': 1}
  • id: 3822327
    {'lmfdb_iso': '74382.bo', 'p': 97, 'prec': 20, 'unit': 26758761423430628201276715625894541552, 'val': 1}