Elliptic curve data - 191100.f1

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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': '191100bz', 'Clabel': '191100bz2', 'Cnumber': 2, 'abc_quality': 0.8507684650762142, 'absD': 238592172000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, -24908, 1326312], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 191100, 'degree': 691200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4851475806077688454910469948', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [3631696, 507], 'lmfdb_iso': '191100.f', 'lmfdb_label': '191100.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -20, -24], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '52.6.0.c.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75462457051023486730683045784', 'prec': 107}, 'szpiro_ratio': 3.4523495050703232, '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, 0, -1, 0, 0, 0, 0, 0, 1, 0, -4, 0, 1, 0, 0, 0, 2, 0, 2, 0], 'aplist': [0, -1, 0, 0, -4, 1, 2, 2, 0, -6, 10, -10, -8, -4, -4, 10, 8, 14, -2, 16, -10, -16, 0, 4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 191100, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '191100.f', 'trace_hash': 1751798773189329986}
• 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': '0.051288169819036457281870354433', 'prec': 107}, 'conductor': 191100, 'gens': [], 'heights': [], 'lmfdb_label': '191100.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.53487674424024941399034698418', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0697534884804988279806939683600569215', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[117, 0, 1]], 'xcoord_integral_points': [117]}
• lmfdb_label 191100.f1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8415761
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '191100.f1', 'torsion': [2, 2]}
  • id: 8415762
    {'degree': 4, 'field': [3675, 0, -175, 0, 1], 'lmfdb_label': '191100.f1', 'torsion': [4]}
  • id: 8415765
    {'degree': 8, 'field': [-1164656, 231608, 80452, -42590, 7982, -632, 175, -1, 1], 'lmfdb_label': '191100.f1', 'torsion': [6]}
  • id: 8415763
    {'degree': 8, 'field': [-8139, 290082, -228752, -103340, 22931, 1060, -292, -2, 1], 'lmfdb_label': '191100.f1', 'torsion': [2, 4]}
  • id: 8415764
    {'degree': 8, 'field': [2268036, 0, -45576, 0, 12012, 0, 216, 0, 1], 'lmfdb_label': '191100.f1', 'torsion': [2, 4]}
  • id: 8415767
    {'degree': 16, 'field': [30403501956, 0, -22312461852, 0, 3597970140, 0, -200558187, 0, 2759670, 0, 135081, 0, 1197, 0, 18, 0, 1], 'lmfdb_label': '191100.f1', 'torsion': [2, 6]}
  • id: 8415766
    {'degree': 16, 'field': [753876833700, -994759359600, 141132839320, 174358114120, -39093013736, -11693405664, 1215229528, 498950520, 65287626, 5141352, 585768, 51084, -12140, -2388, -206, -4, 1], 'lmfdb_label': '191100.f1', 'torsion': [8]}
• 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: 4732114
    {'conductor': 191100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '191100.f1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4732115
    {'conductor': 191100, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '191100.f1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4732116
    {'conductor': 191100, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '191100.f1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4732117
    {'conductor': 191100, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '191100.f1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4732118
    {'conductor': 191100, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '191100.f1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2891213
    {'adelic_gens': [[145, 4, 134, 9], [1, 2, 2, 5], [106, 1, 103, 0], [40, 121, 117, 40], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 191100, 'lmfdb_label': '191100.f1', 'prime': 0}
  • id: 712619
    {'conductor': 191100, 'elladic_image': '2.3.0.1', 'lmfdb_label': '191100.f1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 191100.f does not appear in ec_padic