Elliptic curve data - 93138.r1

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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': '93138o', 'Clabel': '93138o1', 'Cnumber': 1, 'abc_quality': 0.9202885428946858, 'absD': 18450291262395642912, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1032, 'ainvs': [1, 0, 1, -2022691, 1087615550], 'analytic_rank': 1, 'bad_primes': [2, 3, 19, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 93138, 'degree': 3255840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4880049125460470508574482044', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1], 'jinv': [149271198625, 3009312], 'lmfdb_iso': '93138.r', 'lmfdb_label': '93138.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5603, -160927], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['1032.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1086768043927401247305075669', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.034305763240680000849925344492', 'prec': 107}, 'szpiro_ratio': 4.822076890758101, '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, -1, 1, 1, 0, -1, 4, -1, 1, 0, 1, 1, 2, -4, 0, 1, -2, -1, 0, 0], 'aplist': [-1, 1, 0, 4, 1, 2, -2, 0, -6, 10, -3, 7, 2, -1, -2, 3, -12, 5, 12, -1, 0, 0, 12, -15, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 93138, 'isogeny_matrix': [[1]], 'lmfdb_iso': '93138.r', 'trace_hash': 1688493532603813030}
• 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': '0.0069015460649646199159037643156', 'prec': 110}, 'conductor': 93138, 'gens': [[604, 8990, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1086768043927401247305075669', 'prec': 100}], 'lmfdb_label': '93138.r1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21779957536168101505881813160', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7886734705976584113036994838882196037', 'prec': 130}, 'tamagawa_product': 7, 'torsion_generators': [], 'xcoord_integral_points': [604]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '93138.r1'}
• ec_torsion_growth •

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

  
  
  • id: 4347283
    {'degree': 3, 'field': [-494, -171, 0, 1], 'lmfdb_label': '93138.r1', 'torsion': [2]}
  • id: 4347284
    {'degree': 6, 'field': [-258, 0, 1357, 0, -200, 0, 1], 'lmfdb_label': '93138.r1', 'torsion': [2, 2]}
  • id: 4347285
    {'degree': 8, 'field': [-7286850, -246555, 531954, -29723, -4639, 1243, 13, -4, 1], 'lmfdb_label': '93138.r1', 'torsion': [3]}
  • id: 4347286
    {'degree': 12, 'field': [-26652624597, -10713834936, -1457250432, -218501604, 2492075, 3191984, 1229584, 161128, 4393, -2488, -208, -4, 1], 'lmfdb_label': '93138.r1', '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: 2281339
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '93138.r1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2281340
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '93138.r1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 2281341
    {'conductor': 93138, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '93138.r1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2281342
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '93138.r1', 'prime': 43, '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': [[775, 2, 0, 1], [689, 2, 689, 3], [1, 1, 1031, 0], [433, 2, 433, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1031, 2, 1030, 3], [517, 2, 517, 3]], 'adelic_image': '1032.2.0.?', 'conductor': 93138, 'lmfdb_label': '93138.r1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4835592
    {'lmfdb_iso': '93138.r', 'p': 7, 'prec': 20, 'unit': 16100519007635003, 'val': 0}
  • id: 4835594
    {'lmfdb_iso': '93138.r', 'p': 11, 'prec': 20, 'unit': 327198431462398991613, 'val': -1}
  • id: 4835596
    {'lmfdb_iso': '93138.r', 'p': 13, 'prec': 20, 'unit': 1276459633258517121814, 'val': 1}
  • id: 4835598
    {'lmfdb_iso': '93138.r', 'p': 17, 'prec': 20, 'unit': 66554872228778050765456, 'val': 1}
  • id: 4835601
    {'lmfdb_iso': '93138.r', 'p': 23, 'prec': 20, 'unit': 69535102720359337976574361, 'val': 1}
  • id: 4835595
    {'lmfdb_iso': '93138.r', 'p': 29, 'prec': 20, 'unit': 460213357536405087124984251, 'val': 1}
  • id: 4835606
    {'lmfdb_iso': '93138.r', 'p': 31, 'prec': 20, 'unit': 1032939554658839690492517765, 'val': 1}
  • id: 4835591
    {'lmfdb_iso': '93138.r', 'p': 37, 'prec': 20, 'unit': 239370890752442165098996817504, 'val': 1}
  • id: 4835593
    {'lmfdb_iso': '93138.r', 'p': 41, 'prec': 20, 'unit': 1042219503090224530728135172485, 'val': 1}
  • id: 4835597
    {'lmfdb_iso': '93138.r', 'p': 47, 'prec': 20, 'unit': 28977781417626532065221973871090, 'val': 1}
  • id: 4835600
    {'lmfdb_iso': '93138.r', 'p': 53, 'prec': 20, 'unit': 224055336298937685129643758840836, 'val': 1}
  • id: 4835604
    {'lmfdb_iso': '93138.r', 'p': 59, 'prec': 20, 'unit': 266574844780546313676424126834392, 'val': 1}
  • id: 4835605
    {'lmfdb_iso': '93138.r', 'p': 61, 'prec': 20, 'unit': 3461781736191221907009692090548517, 'val': 1}
  • id: 4835590
    {'lmfdb_iso': '93138.r', 'p': 67, 'prec': 20, 'unit': 37986836744330915011552534427316698, 'val': 1}
  • id: 4835603
    {'lmfdb_iso': '93138.r', 'p': 71, 'prec': 20, 'unit': 122901041528512825133844793160302572, 'val': 1}
  • id: 4835599
    {'lmfdb_iso': '93138.r', 'p': 83, 'prec': 20, 'unit': 1589864716267154126553671002650362919, 'val': 1}
  • id: 4835602
    {'lmfdb_iso': '93138.r', 'p': 89, 'prec': 20, 'unit': 1272844184648533398175316752448876776, 'val': 1}
  • id: 4835589
    {'lmfdb_iso': '93138.r', 'p': 97, 'prec': 20, 'unit': 1700758353902602879357477353186850552, 'val': 1}