Elliptic curve data - 91200.cq1

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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': '91200gn', 'Clabel': '91200gn1', 'Cnumber': 1, 'abc_quality': 0.9589242512724415, 'absD': 382520524800000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 228, 'ainvs': [0, -1, 0, 63167, 29101537], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 91200, 'degree': 737280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0545352570182168931941302394', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 68, 'isogeny_degrees': [1], 'jinv': [272199695, 3735552], 'lmfdb_iso': '91200.cq', 'lmfdb_label': '91200.cq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 39, -452], 'min_quad_twist_disc': -40, 'modell_images': [], 'modm_images': ['228.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.054324202504593371729751772', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.058144122111101320665557498270', 'prec': 110}, 'szpiro_ratio': 4.193852661638336, '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, 0, 0, 1, 0, 1, 0, 4, 0, 0, 0, -4, 0, -1, 0], 'aplist': [0, -1, 0, 0, 1, 4, -4, -1, 5, -3, 5, -6, -2, -4, 0, 9, 0, 11, 1, -2, 3, -17, -3, 7, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 91200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '91200.cq', 'trace_hash': 1662067717053141651}
• 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': '0.016423032412305142685994817923', 'prec': 107}, 'conductor': 91200, 'gens': [[929199, 895709768, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '13.054324202504593371729751772', 'prec': 100}], 'lmfdb_label': '91200.cq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22286550689045957313381057257', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8187171610071612520548191286027575900', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '91200.cq1'}
• ec_torsion_growth •

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

  
  
  • id: 4259991
    {'degree': 3, 'field': [7, 17, -1, 1], 'lmfdb_label': '91200.cq1', 'torsion': [2]}
  • id: 4259992
    {'degree': 6, 'field': [2052, 0, -108, 0, 9, 0, 1], 'lmfdb_label': '91200.cq1', 'torsion': [2, 2]}
  • id: 4259993
    {'degree': 8, 'field': [-768, 0, 1312, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '91200.cq1', 'torsion': [3]}
  • id: 4259994
    {'degree': 12, 'field': [-3112404, -4475216, -2192776, -212520, -2895, -36196, 16, 1636, -490, 60, 24, -4, 1], 'lmfdb_label': '91200.cq1', '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: 2230883
    {'conductor': 91200, 'conductor_valuation': 6, 'discriminant_valuation': 34, 'j_denominator_valuation': 16, 'kodaira_symbol': -28, 'lmfdb_label': '91200.cq1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2230884
    {'conductor': 91200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '91200.cq1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2230885
    {'conductor': 91200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '91200.cq1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2230886
    {'conductor': 91200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '91200.cq1', 'prime': 19, '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': [[1, 1, 227, 0], [1, 0, 2, 1], [115, 2, 115, 3], [77, 2, 77, 3], [227, 2, 226, 3], [1, 2, 0, 1], [97, 2, 97, 3]], 'adelic_image': '228.2.0.?', 'conductor': 91200, 'lmfdb_label': '91200.cq1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4727131
    {'lmfdb_iso': '91200.cq', 'p': 11, 'prec': 20, 'unit': 317760286688303936517, 'val': 0}
  • id: 4727137
    {'lmfdb_iso': '91200.cq', 'p': 13, 'prec': 20, 'unit': 1104255288121674756599, 'val': 1}
  • id: 4727139
    {'lmfdb_iso': '91200.cq', 'p': 17, 'prec': 20, 'unit': 170640882588968792186746, 'val': 1}
  • id: 4727143
    {'lmfdb_iso': '91200.cq', 'p': 23, 'prec': 20, 'unit': 48393754598042719524376001, 'val': 1}
  • id: 4727136
    {'lmfdb_iso': '91200.cq', 'p': 29, 'prec': 20, 'unit': 4641252181324088269212363880, 'val': 1}
  • id: 4727146
    {'lmfdb_iso': '91200.cq', 'p': 31, 'prec': 20, 'unit': 17787171481089040227543076623, 'val': 1}
  • id: 4727132
    {'lmfdb_iso': '91200.cq', 'p': 37, 'prec': 20, 'unit': 490132036996568323102900269906, 'val': 1}
  • id: 4727134
    {'lmfdb_iso': '91200.cq', 'p': 41, 'prec': 20, 'unit': 372645020955508332692932235878, 'val': 1}
  • id: 4727135
    {'lmfdb_iso': '91200.cq', 'p': 43, 'prec': 20, 'unit': 7918210208341362424862953119241, 'val': 1}
  • id: 4727141
    {'lmfdb_iso': '91200.cq', 'p': 53, 'prec': 20, 'unit': 452971615733949220063940383830982, 'val': 1}
  • id: 4727145
    {'lmfdb_iso': '91200.cq', 'p': 61, 'prec': 20, 'unit': 4463193259983015747458660766972994, 'val': 1}
  • id: 4727130
    {'lmfdb_iso': '91200.cq', 'p': 67, 'prec': 20, 'unit': 2941488417058721011651187297725242774, 'val': -1}
  • id: 4727133
    {'lmfdb_iso': '91200.cq', 'p': 71, 'prec': 20, 'unit': 61452886908456725516452000610958661, 'val': 1}
  • id: 4727142
    {'lmfdb_iso': '91200.cq', 'p': 73, 'prec': 20, 'unit': 222440111887369668666260919410029147, 'val': 1}
  • id: 4727138
    {'lmfdb_iso': '91200.cq', 'p': 79, 'prec': 20, 'unit': 994897798207965152337164290760458264, 'val': 1}
  • id: 4727140
    {'lmfdb_iso': '91200.cq', 'p': 83, 'prec': 20, 'unit': 2244084744525043186968719497755490749, 'val': 1}
  • id: 4727144
    {'lmfdb_iso': '91200.cq', 'p': 89, 'prec': 20, 'unit': 5567038530852706782470790430250414442, 'val': 1}
  • id: 4727129
    {'lmfdb_iso': '91200.cq', 'p': 97, 'prec': 20, 'unit': 2538436010927268897947727658222378532, 'val': 1}