Elliptic curve data - 111573.y1

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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': '111573g', 'Clabel': '111573g1', 'Cnumber': 1, 'abc_quality': 0.7707252794300467, 'absD': 1708071057, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 21252, 'ainvs': [1, -1, 0, -933, 11024], 'analytic_rank': 1, 'bad_primes': [3, 7, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 111573, 'degree': 50688, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56497804685170398857740978393', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [13312053, 253], 'lmfdb_iso': '111573.y', 'lmfdb_label': '111573.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -104, -374], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '84.6.0.?', '1012.6.0.?', '10626.6.0.?', '21252.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6858593206968356764593787356', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74545870691320660624536232962', 'prec': 107}, 'szpiro_ratio': 2.764431311190866, '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, 1, 0, -1, -2, 0, 0, -3, 0, -2, -1, 0, -2, 0, 0, -1, -2, 0, -4, 2], 'aplist': [1, 0, -2, 0, -1, -2, -2, -4, 1, -10, -8, 6, -6, 4, 4, 2, 4, 0, -6, -12, 10, -4, -8, 10, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 111573, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '111573.y', 'trace_hash': 317416055279162785}
• 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': '0.32304743992758881430604869003', 'prec': 103}, 'conductor': 111573, 'gens': [[20, -2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6858593206968356764593787356', 'prec': 100}], 'lmfdb_label': '111573.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4942307374160391734820312686', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0132935533605748182755125127716306963', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[16, -8, 1]], 'xcoord_integral_points': [16, 20]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [3, 0], '17': [3, 0], '19': [3, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '111573.y1'}
• ec_torsion_growth •

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

  
  
  • id: 5134422
    {'degree': 2, 'field': [-1328, -1, 1], 'lmfdb_label': '111573.y1', 'torsion': [2, 2]}
  • id: 5134423
    {'degree': 4, 'field': [2965, 94, -93, -2, 1], 'lmfdb_label': '111573.y1', 'torsion': [4]}
  • id: 5134426
    {'degree': 8, 'field': [-3197, -1495, 1288, 413, -203, -7, 7, -4, 1], 'lmfdb_label': '111573.y1', 'torsion': [6]}
  • id: 5134425
    {'degree': 8, 'field': [602176, 0, -28256, 0, 657, 0, -347, 0, 1], 'lmfdb_label': '111573.y1', 'torsion': [2, 4]}
  • id: 5134424
    {'degree': 8, 'field': [14969161, 0, 741409, 0, 22440, 0, 289, 0, 1], 'lmfdb_label': '111573.y1', 'torsion': [2, 4]}
  • id: 5134427
    {'degree': 16, 'field': [2735716, 0, 806248, 0, 1219112, 0, -603284, 0, 283525, 0, -988, 0, 1046, 0, -16, 0, 1], 'lmfdb_label': '111573.y1', 'torsion': [8]}
  • id: 5134428
    {'degree': 16, 'field': [5349969, 0, -75644037, 0, 25158816, 0, -9435825, 0, 1418931, 0, -190008, 0, 582, 0, 0, 0, 1], 'lmfdb_label': '111573.y1', 'torsion': [2, 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: 2744107
    {'conductor': 111573, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '111573.y1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2744108
    {'conductor': 111573, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '111573.y1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2744109
    {'conductor': 111573, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '111573.y1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2744110
    {'conductor': 111573, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '111573.y1', 'prime': 23, '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

  
  
  • id: 2394881
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [1850, 1, 20327, 0], [21249, 4, 21248, 5], [7088, 1, 14167, 0], [9662, 1, 5795, 0], [1, 0, 4, 1], [9112, 1, 3035, 0], [5317, 15940, 5312, 15939], [3, 4, 8, 11]], 'adelic_image': '21252.12.0.?', 'conductor': 111573, 'lmfdb_label': '111573.y1', 'prime': 0}
  • id: 442526
    {'conductor': 111573, 'elladic_image': '2.3.0.1', 'lmfdb_label': '111573.y1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5824668
    {'lmfdb_iso': '111573.y', 'p': 5, 'prec': 20, 'unit': 11952595903423, 'val': 1}
  • id: 5824673
    {'lmfdb_iso': '111573.y', 'p': 13, 'prec': 20, 'unit': 821002977358809004, 'val': 3}
  • id: 5824675
    {'lmfdb_iso': '111573.y', 'p': 17, 'prec': 20, 'unit': 7311797321668735100839, 'val': 2}
  • id: 5824665
    {'lmfdb_iso': '111573.y', 'p': 19, 'prec': 20, 'unit': 74565505257850502919325, 'val': 2}
  • id: 5824682
    {'lmfdb_iso': '111573.y', 'p': 29, 'prec': 20, 'unit': 468590169426198345192437155, 'val': 1}
  • id: 5824670
    {'lmfdb_iso': '111573.y', 'p': 31, 'prec': 20, 'unit': 5641769138176717093035846776, 'val': 1}
  • id: 5824683
    {'lmfdb_iso': '111573.y', 'p': 37, 'prec': 20, 'unit': 197320955524655552466033933211, 'val': 1}
  • id: 5824671
    {'lmfdb_iso': '111573.y', 'p': 41, 'prec': 20, 'unit': 3173981773418294987819337490414, 'val': 1}
  • id: 5824672
    {'lmfdb_iso': '111573.y', 'p': 43, 'prec': 20, 'unit': 6480968091612023208239761669655, 'val': 1}
  • id: 5824681
    {'lmfdb_iso': '111573.y', 'p': 47, 'prec': 20, 'unit': 52633663859895043876759937414662, 'val': 1}
  • id: 5824677
    {'lmfdb_iso': '111573.y', 'p': 53, 'prec': 20, 'unit': 344394389733108307209771588219061, 'val': 1}
  • id: 5824678
    {'lmfdb_iso': '111573.y', 'p': 59, 'prec': 20, 'unit': 3893626765001684762989598377764659, 'val': 1}
  • id: 5824667
    {'lmfdb_iso': '111573.y', 'p': 67, 'prec': 20, 'unit': 34881969432626702256090031800472283, 'val': 1}
  • id: 5824669
    {'lmfdb_iso': '111573.y', 'p': 71, 'prec': 20, 'unit': 81742939396696618054887276384763235, 'val': 1}
  • id: 5824679
    {'lmfdb_iso': '111573.y', 'p': 73, 'prec': 20, 'unit': 220815101308087300922871942995798472, 'val': 1}
  • id: 5824674
    {'lmfdb_iso': '111573.y', 'p': 79, 'prec': 20, 'unit': 886216433614287487558798865329282713, 'val': 1}
  • id: 5824676
    {'lmfdb_iso': '111573.y', 'p': 83, 'prec': 20, 'unit': 1870861270416543912560429821698909383, 'val': 1}
  • id: 5824680
    {'lmfdb_iso': '111573.y', 'p': 89, 'prec': 20, 'unit': 8479002682666821438232756830894559751, 'val': 1}
  • id: 5824666
    {'lmfdb_iso': '111573.y', 'p': 97, 'prec': 20, 'unit': 7025077654166967476463425280624813744, 'val': 1}