Elliptic curve data - 23104.o2

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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': '23104c', 'Clabel': '23104c1', 'Cnumber': 1, 'abc_quality': 0.8652894320634525, 'absD': 35617113198559232, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 1368, 'ainvs': [0, -1, 0, 45727, -8278559], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 23104, 'degree': 131328, 'elladic_images': ['8.2.0.1', '9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8590388421043954481485792888', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [2375, 8], 'lmfdb_iso': '23104.o', 'lmfdb_label': '23104.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 2, 3], 'min_quad_twist_disc': -152, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '8.2.0.a.1', '9.12.0.b.1', '12.8.0-3.a.1.3', '24.16.0-24.a.1.2', '36.24.0-9.b.1.4', '72.48.0.?', '171.36.0.?', '684.72.0.?', '1368.144.2.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9123969437831172574749193681', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1436412481798161559832871813', 'prec': 103}, 'szpiro_ratio': 4.516211976383788, '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, 0, 0, 0, -4, 0, -2, 0, -3, 0, -2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, -1, 0, -4, -3, -2, -6, 0, -6, 0, 2, 10, 9, 4, 0, -6, 9, 4, 7, -6, -1, -4, -3, 6, 17], 'class_deg': 3, 'class_size': 2, 'conductor': 23104, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '23104.o', 'trace_hash': 1578670554136697181}
• 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': '0.024280597989335925532695601543', 'prec': 107}, 'conductor': 23104, 'gens': [[200, 2971, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.9123969437831172574749193681', 'prec': 100}], 'lmfdb_label': '23104.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18701219511236713868794901477', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2113806616650629792460965196427347244', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [200]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [5, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '23104.o2'}
• ec_torsion_growth •

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

  
  
  • id: 1168970
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '23104.o2', 'torsion': [3]}
  • id: 1168971
    {'degree': 3, 'field': [7, 13, -1, 1], 'lmfdb_label': '23104.o2', 'torsion': [2]}
  • id: 1168974
    {'degree': 6, 'field': [-50, 0, 29, 0, 12, 0, 1], 'lmfdb_label': '23104.o2', 'torsion': [6]}
  • id: 1168972
    {'degree': 6, 'field': [50, 0, 29, 0, -12, 0, 1], 'lmfdb_label': '23104.o2', 'torsion': [2, 2]}
  • id: 1168973
    {'degree': 6, 'field': [96, 0, 52, 0, 2, 0, 1], 'lmfdb_label': '23104.o2', 'torsion': [3]}
  • id: 1168975
    {'degree': 12, 'field': [-8, 0, 219, 0, -259, 0, 70, 0, 42, 0, -1, 0, 1], 'lmfdb_label': '23104.o2', 'torsion': [4]}
  • id: 1168976
    {'degree': 12, 'field': [388, 1752, 2582, 864, -765, -168, 70, -216, 57, -12, 8, 0, 1], 'lmfdb_label': '23104.o2', 'torsion': [3, 3]}
  • id: 1168977
    {'degree': 12, 'field': [676, 0, -1688, 0, 2604, 0, -1276, 0, 289, 0, -28, 0, 1], 'lmfdb_label': '23104.o2', 'torsion': [2, 6]}
  • id: 1168978
    {'degree': 18, 'field': [-512, 0, 256, 0, 2304, 0, 1664, 0, -544, 0, -528, 0, 96, 0, 44, 0, -14, 0, 1], 'lmfdb_label': '23104.o2', 'torsion': [9]}
  • id: 1168979
    {'degree': 18, 'field': [216, 0, 396, 0, 690, 0, -215, 0, 216, 0, 336, 0, -70, 0, 0, 0, 6, 0, 1], 'lmfdb_label': '23104.o2', 'torsion': [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: 528069
    {'conductor': 23104, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '23104.o2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 528070
    {'conductor': 23104, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '23104.o2', 'prime': 19, 'reduction_type': 0, '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: 1818347
    {'adelic_gens': [[353, 702, 522, 685], [1, 18, 12, 217], [1351, 18, 1350, 19], [1, 18, 0, 1], [694, 9, 1017, 1360], [10, 9, 81, 73], [427, 1350, 468, 979], [13, 12, 1304, 1309], [1358, 1359, 693, 8], [1, 0, 18, 1]], 'adelic_image': '1368.144.2.?', 'conductor': 23104, 'lmfdb_label': '23104.o2', 'prime': 0}
  • id: 106266
    {'conductor': 23104, 'elladic_image': '8.2.0.1', 'lmfdb_label': '23104.o2', 'modell_image': '2G', 'prime': 2}
  • id: 106267
    {'conductor': 23104, 'elladic_image': '9.12.0.2', 'lmfdb_label': '23104.o2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1089964
    {'lmfdb_iso': '23104.o', 'p': 7, 'prec': 20, 'unit': 321866409606018, 'val': 1}
  • id: 1089962
    {'lmfdb_iso': '23104.o', 'p': 11, 'prec': 20, 'unit': 33743563453643433633, 'val': 1}
  • id: 1089967
    {'lmfdb_iso': '23104.o', 'p': 13, 'prec': 20, 'unit': 595150073288861081664, 'val': 1}
  • id: 1089969
    {'lmfdb_iso': '23104.o', 'p': 17, 'prec': 20, 'unit': 197910036685047732866294, 'val': 1}
  • id: 1089973
    {'lmfdb_iso': '23104.o', 'p': 23, 'prec': 20, 'unit': 25819242170718613896043914, 'val': 1}
  • id: 1089978
    {'lmfdb_iso': '23104.o', 'p': 31, 'prec': 20, 'unit': 12546714965543512395430789819, 'val': 1}
  • id: 1089963
    {'lmfdb_iso': '23104.o', 'p': 37, 'prec': 20, 'unit': 514208113345017183315454165595, 'val': 1}
  • id: 1089965
    {'lmfdb_iso': '23104.o', 'p': 41, 'prec': 20, 'unit': 2048078329851735464031987161619, 'val': 1}
  • id: 1089966
    {'lmfdb_iso': '23104.o', 'p': 43, 'prec': 20, 'unit': 4387561719957458947508405590060, 'val': 1}
  • id: 1089971
    {'lmfdb_iso': '23104.o', 'p': 53, 'prec': 20, 'unit': 154618319429304727390782695844590, 'val': 1}
  • id: 1089976
    {'lmfdb_iso': '23104.o', 'p': 59, 'prec': 20, 'unit': 3878309596772084264799509725465592, 'val': 1}
  • id: 1089977
    {'lmfdb_iso': '23104.o', 'p': 61, 'prec': 20, 'unit': 6712104850399576247777459992467959, 'val': 1}
  • id: 1089961
    {'lmfdb_iso': '23104.o', 'p': 67, 'prec': 20, 'unit': 25057312541849810729940710167059566, 'val': 1}
  • id: 1089975
    {'lmfdb_iso': '23104.o', 'p': 71, 'prec': 20, 'unit': 92966192730393397228250655231799722, 'val': 1}
  • id: 1089972
    {'lmfdb_iso': '23104.o', 'p': 73, 'prec': 20, 'unit': 62586165757863394877452102385088386, 'val': 1}
  • id: 1089968
    {'lmfdb_iso': '23104.o', 'p': 79, 'prec': 20, 'unit': 429496349543370088873991552600992912, 'val': 1}
  • id: 1089970
    {'lmfdb_iso': '23104.o', 'p': 83, 'prec': 20, 'unit': 1219397460079665266787570385449227192, 'val': 1}
  • id: 1089974
    {'lmfdb_iso': '23104.o', 'p': 89, 'prec': 20, 'unit': 10455055098850989507288711624249899594, 'val': 1}
  • id: 1089960
    {'lmfdb_iso': '23104.o', 'p': 97, 'prec': 20, 'unit': 32572549936508295777571223148735155946, 'val': 1}