Elliptic curve data - 181944.e3

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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': '181944bj', 'Clabel': '181944bj1', 'Cnumber': 1, 'abc_quality': 0.9302571953252023, 'absD': 11523606275664, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 0, 0, -23826, -1406095], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 181944, 'degree': 442368, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3353374484264243097858545426', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 21], 'lmfdb_iso': '181944.e', 'lmfdb_label': '181944.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, -10], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '42.6.0.a.1', '56.12.0.ba.1', '76.12.0.?', '84.12.0.?', '168.24.0.?', '456.24.0.?', '1064.24.0.?', '1596.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.7314077998309419424971311272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91723724567749920238869249896', 'prec': 107}, 'szpiro_ratio': 3.4553407337795914, '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, 0, 0, -2, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -2, -1, 0, 2, -6, 0, 4, 6, 8, 10, -10, 12, 8, 6, 4, -10, -12, 4, 2, -8, -4, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 181944, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '181944.e', 'trace_hash': 1894970092153483542}
• 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': '0.069205502968585757957003192827', 'prec': 107}, 'conductor': 181944, 'gens': [[37601, 7008815, 8]], 'heights': [{'__RealLiteral__': 0, 'data': '7.7314077998309419424971311272', 'prec': 100}], 'lmfdb_label': '181944.e3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38444879365160642347130201097', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9446608037472524373841311907492232365', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-95, 0, 1]], 'xcoord_integral_points': [-95]}
• lmfdb_label 181944.e3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8040846
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '181944.e3', 'torsion': [2, 2]}
  • id: 8040847
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '181944.e3', 'torsion': [4]}
  • id: 8040848
    {'degree': 2, 'field': [100, -1, 1], 'lmfdb_label': '181944.e3', 'torsion': [4]}
  • id: 8040849
    {'degree': 4, 'field': [100, 0, -1, 0, 1], 'lmfdb_label': '181944.e3', 'torsion': [2, 4]}
  • id: 8040853
    {'degree': 8, 'field': [-274199, -62584, -2396, 3256, 1778, -164, 4, -4, 1], 'lmfdb_label': '181944.e3', 'torsion': [6]}
  • id: 8040851
    {'degree': 8, 'field': [133, 304, -10, -620, 391, -100, 38, -4, 1], 'lmfdb_label': '181944.e3', 'torsion': [8]}
  • id: 8040850
    {'degree': 8, 'field': [3481, 0, -32938, 0, 3363, 0, -118, 0, 1], 'lmfdb_label': '181944.e3', 'torsion': [2, 4]}
  • id: 8040852
    {'degree': 8, 'field': [205762, -14004, 15136, -2294, 1223, -94, 36, -4, 1], 'lmfdb_label': '181944.e3', 'torsion': [8]}
  • id: 8040855
    {'degree': 16, 'field': [29584, -106640, 245768, -362808, 357296, -6292, -95018, 6186, 16585, -102, -1736, -902, 431, 36, -16, -4, 1], 'lmfdb_label': '181944.e3', 'torsion': [2, 8]}
  • id: 8040858
    {'degree': 16, 'field': [1742857, 537360, 1713800, 737968, 544882, 391124, 93200, 83476, 21847, 5672, 4772, -212, 538, -28, 32, 0, 1], 'lmfdb_label': '181944.e3', 'torsion': [12]}
  • id: 8040856
    {'degree': 16, 'field': [23141700, -16364160, 21500856, -10527144, 7398022, -2667780, 1307940, -371438, 142589, -31814, 8918, -902, 72, 42, 2, -4, 1], 'lmfdb_label': '181944.e3', 'torsion': [2, 8]}
  • id: 8040854
    {'degree': 16, 'field': [29746116, 0, -22628160, 0, 6529140, 0, -780300, 0, -2339, 0, 4540, 0, 870, 0, 40, 0, 1], 'lmfdb_label': '181944.e3', 'torsion': [4, 4]}
  • id: 8040857
    {'degree': 16, 'field': [49204847169, -42365759184, 10470498210, -743864796, -70485012, 170518932, -96039756, 23725584, -1017171, -689796, 38832, 4932, 4824, -744, 18, 0, 1], 'lmfdb_label': '181944.e3', 'torsion': [2, 6]}
  • id: 8040859
    {'degree': 16, 'field': [113422789089, 0, -8689265664, 0, 479912092, 0, -48065088, 0, 3846630, 0, -64192, 0, 3228, 0, 0, 0, 1], 'lmfdb_label': '181944.e3', 'torsion': [12]}
• 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: 4501686
    {'conductor': 181944, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '181944.e3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4501687
    {'conductor': 181944, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '181944.e3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4501688
    {'conductor': 181944, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '181944.e3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4501689
    {'conductor': 181944, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '181944.e3', 'prime': 19, 'reduction_type': 0, '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: 2834222
    {'adelic_gens': [[2792, 3021, 779, 1006], [3185, 8, 3184, 9], [628, 2185, 1007, 1350], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 3186, 3187], [571, 570, 874, 115], [2183, 0, 0, 3191], [2129, 2964, 950, 191]], 'adelic_image': '3192.48.0.?', 'conductor': 181944, 'lmfdb_label': '181944.e3', 'prime': 0}
  • id: 681603
    {'conductor': 181944, 'elladic_image': '4.6.0.1', 'lmfdb_label': '181944.e3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 181944.e does not appear in ec_padic