Elliptic curve data - 93138.y2

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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
  intrinsic_torsion	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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '93138bc', 'Clabel': '93138bc1', 'Cnumber': 1, 'abc_quality': 0.9843247587061957, 'absD': 2589514563143248128, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9804, 'ainvs': [1, 1, 1, -2166188, -1225592755], 'analytic_rank': 2, 'bad_primes': [2, 3, 19, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 93138, 'degree': 2488320, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4141644002456666976709651405', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [23894093340015625, 55042322688], 'lmfdb_iso': '93138.y', 'lmfdb_label': '93138.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6001, 178052], 'min_quad_twist_disc': -19, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '57.8.0-3.a.1.1', '114.24.0.?', '228.48.0.?', '258.24.0.?', '516.48.0.?', '1634.6.0.?', '4902.48.0.?', '9804.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.3596870732321163378637729174', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15523], [3, 4, 31046], [19, 200, 258], [43, 44, 2166]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94194491066244646766645142456', 'prec': 103}, 'szpiro_ratio': 4.840047881152268, '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, -1, 1, 0, -1, -4, 1, 1, 0, 0, -1, -2, -4, 0, 1, -6, 1, 0, 0], 'aplist': [1, -1, 0, -4, 0, -2, -6, 0, 0, -6, 4, -2, 0, 1, 0, -12, -6, -10, -8, 12, 14, -8, 0, -6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 93138, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '93138.y', 'trace_hash': 1222542978362754876}
• 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': '0.0079998794953953359258776885849', 'prec': 110}, 'conductor': 93138, 'gens': [[2981, 135689, 1], [-14035, 76051, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7984135525966315518778565184', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.6098944100706796442355459609', 'prec': 100}], 'lmfdb_label': '93138.y2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.12446167209502370045657746876', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.664596594169226287254697037033932782', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-819, 409, 1]], 'xcoord_integral_points': [-827, -819, 2981, 3555, 18675]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': [2, 0], '5': [6, 2, 0], '7': [2, 0], '11': [2, 4, 0], '13': [2, 0], '17': [2, 0], '19': 'a', '23': [2, 2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 2, 0], '43': [3, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '93138.y2'}
• ec_torsion_growth •

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

  
  
  • id: 4347458
    {'degree': 2, 'field': [-204, -1, 1], 'lmfdb_label': '93138.y2', 'torsion': [2, 2]}
  • id: 4347459
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '93138.y2', 'torsion': [6]}
  • id: 4347461
    {'degree': 4, 'field': [36, 0, 31, 0, 1], 'lmfdb_label': '93138.y2', 'torsion': [2, 6]}
  • id: 4347460
    {'degree': 4, 'field': [52, 10, -13, -1, 1], 'lmfdb_label': '93138.y2', 'torsion': [4]}
  • id: 4347462
    {'degree': 6, 'field': [-6042, -19152, 1564, -271, 15, -1, 1], 'lmfdb_label': '93138.y2', 'torsion': [6]}
  • id: 4347465
    {'degree': 8, 'field': [163, -367, 177, 74, -58, 10, 7, -3, 1], 'lmfdb_label': '93138.y2', 'torsion': [12]}
  • id: 4347464
    {'degree': 8, 'field': [36864, 0, -20188, 0, -6871, 0, -14, 0, 1], 'lmfdb_label': '93138.y2', 'torsion': [2, 4]}
  • id: 4347463
    {'degree': 8, 'field': [36864, 0, 1344, 0, 241, 0, -7, 0, 1], 'lmfdb_label': '93138.y2', 'torsion': [2, 4]}
  • id: 4347466
    {'degree': 12, 'field': [1607824, -2191104, 1144952, -203904, 80520, -6462, -3275, 2859, 138, 39, -10, -3, 1], 'lmfdb_label': '93138.y2', 'torsion': [3, 6]}
  • id: 4347467
    {'degree': 12, 'field': [2722500, 0, -563100, 0, 379756, 0, -67013, 0, 4215, 0, -107, 0, 1], 'lmfdb_label': '93138.y2', 'torsion': [2, 6]}
  • id: 4347469
    {'degree': 16, 'field': [65536, 0, 36864, 0, 59648, 0, -26496, 0, 21552, 0, -1656, 0, 233, 0, 9, 0, 1], 'lmfdb_label': '93138.y2', 'torsion': [2, 12]}
  • id: 4347470
    {'degree': 16, 'field': [1052676, 0, 701784, 0, 2814489, 0, 2038776, 0, 378256, 0, -6090, 0, -1532, 0, 24, 0, 1], 'lmfdb_label': '93138.y2', 'torsion': [2, 12]}
  • id: 4347468
    {'degree': 16, 'field': [21364791889, 28343827638, 14839815081, 2103257478, -709869659, -353507958, 22225326, -13950066, 3278850, 327102, 52338, -17358, 721, -192, -27, 0, 1], 'lmfdb_label': '93138.y2', 'torsion': [8]}
  • id: 4347471
    {'degree': 18, 'field': [18165475329563, 14531993307519, 7818969864339, 3108826505690, 690599439096, 2473139238, -26883468134, 382383366, 2535871839, 553399815, 28747983, -5106810, -469912, 62340, 11244, 104, -9, -3, 1], 'lmfdb_label': '93138.y2', 'torsion': [18]}
• 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: 2281431
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '93138.y2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 2281432
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '93138.y2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2281433
    {'conductor': 93138, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '93138.y2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2281434
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '93138.y2', 'prime': 43, '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: 2277345
    {'adelic_gens': [[11, 2, 9754, 9795], [6545, 2, 6540, 1], [9793, 12, 9792, 13], [1538, 9801, 4671, 8], [6394, 3, 4305, 9796], [1, 0, 12, 1], [4095, 820, 4058, 809], [1, 6, 6, 37], [1, 12, 0, 1]], 'adelic_image': '9804.96.1.?', 'conductor': 93138, 'lmfdb_label': '93138.y2', 'prime': 0}
  • id: 377250
    {'conductor': 93138, 'elladic_image': '2.3.0.1', 'lmfdb_label': '93138.y2', 'modell_image': '2B', 'prime': 2}
  • id: 377251
    {'conductor': 93138, 'elladic_image': '3.4.0.1', 'lmfdb_label': '93138.y2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4835711
    {'lmfdb_iso': '93138.y', 'p': 7, 'prec': 20, 'unit': 3192823038148231, 'val': 2}
  • id: 4835715
    {'lmfdb_iso': '93138.y', 'p': 13, 'prec': 20, 'unit': 245755023322093106004, 'val': 2}
  • id: 4835717
    {'lmfdb_iso': '93138.y', 'p': 17, 'prec': 20, 'unit': 18285766141774805328109, 'val': 2}
  • id: 4835714
    {'lmfdb_iso': '93138.y', 'p': 29, 'prec': 20, 'unit': 4160216257444596883673172004, 'val': 2}
  • id: 4835722
    {'lmfdb_iso': '93138.y', 'p': 31, 'prec': 20, 'unit': 21201948465792931784690533518, 'val': 2}
  • id: 4835710
    {'lmfdb_iso': '93138.y', 'p': 37, 'prec': 20, 'unit': 500942713390124818269513910248, 'val': 2}
  • id: 4835718
    {'lmfdb_iso': '93138.y', 'p': 53, 'prec': 20, 'unit': 249073667269591549919662228552936, 'val': 2}
  • id: 4835720
    {'lmfdb_iso': '93138.y', 'p': 59, 'prec': 20, 'unit': 3735445097107983797387844761341881, 'val': 2}
  • id: 4835721
    {'lmfdb_iso': '93138.y', 'p': 61, 'prec': 20, 'unit': 6889912795927468498772667063185052, 'val': 2}
  • id: 4835709
    {'lmfdb_iso': '93138.y', 'p': 67, 'prec': 20, 'unit': 41020194844690688525930050712044202, 'val': 2}
  • id: 4835713
    {'lmfdb_iso': '93138.y', 'p': 71, 'prec': 20, 'unit': 117291303759654440294980312771927885, 'val': 2}
  • id: 4835712
    {'lmfdb_iso': '93138.y', 'p': 73, 'prec': 20, 'unit': 783488456561625452592844480148855, 'val': 2}
  • id: 4835716
    {'lmfdb_iso': '93138.y', 'p': 79, 'prec': 20, 'unit': 568033475956077827204190235645641118, 'val': 2}
  • id: 4835719
    {'lmfdb_iso': '93138.y', 'p': 89, 'prec': 20, 'unit': 7793460782748324609553360572057909581, 'val': 2}
  • id: 4835708
    {'lmfdb_iso': '93138.y', 'p': 97, 'prec': 20, 'unit': 33858552637752130908057840462417636464, 'val': 2}