Elliptic curve data - 122694.n1

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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': '122694ba', 'Clabel': '122694ba2', 'Cnumber': 2, 'abc_quality': 0.9993281682598464, 'absD': 7188795738678942495921528, 'adelic_genus': 5, 'adelic_index': 144, 'adelic_level': 3432, 'ainvs': [1, 1, 0, -298872785, -1984674830211], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 122694, 'degree': 26956800, 'elladic_images': ['2.3.0.1', '3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6480619304406354029928869758', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [157158018407125, 382657176], 'lmfdb_iso': '122694.n', 'lmfdb_label': '122694.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -14615, 672573], 'min_quad_twist_disc': -143, 'modell_images': ['2B', '3Ns'], 'modm_images': ['2.3.0.a.1', '3.6.0.b.1', '6.18.0.b.1', '24.36.0.f.1', '39.12.0.a.1', '78.36.0.?', '132.36.0.?', '264.72.1.?', '312.72.1.?', '572.6.0.?', '1716.72.1.?', '3432.144.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '47.179869306286751431086199159', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52540227594529757892179960564', 'prec': 103}, 'szpiro_ratio': 5.98766765478581, '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, 0, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0], 'aplist': [-1, -1, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, -6, 8, -6, 6, 0, 8, -6, 6, -6, -10, -12, -6, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 122694, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '122694.n', 'trace_hash': 407066746148737602}
• 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': '0.00067816233883061277020444817135', 'prec': 113}, 'conductor': 122694, 'gens': [[258255944884382956045, 3859597473512278555961842070087, 71314231]], 'heights': [{'__RealLiteral__': 0, 'data': '47.179869306286751431086199159', 'prec': 100}], 'lmfdb_label': '122694.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.036315456396851377791935917686', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4267169732032063664438261108711602995', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-38421, 38421, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [3, 0], '5': [1, 1, 0], '7': [1, 1, 0], '11': 'a', '13': 'a', '17': [1, 1, 0], '19': [1, 3, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '122694.n1'}
• ec_torsion_growth •

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

  
  
  • id: 5604658
    {'degree': 2, 'field': [-78, 0, 1], 'lmfdb_label': '122694.n1', 'torsion': [2, 2]}
  • id: 5604660
    {'degree': 4, 'field': [-348, 108, -37, -1, 1], 'lmfdb_label': '122694.n1', 'torsion': [6]}
  • id: 5604659
    {'degree': 4, 'field': [312, 0, 26, 0, 1], 'lmfdb_label': '122694.n1', 'torsion': [4]}
  • id: 5604661
    {'degree': 4, 'field': [328, -74, 41, -1, 1], 'lmfdb_label': '122694.n1', 'torsion': [6]}
  • id: 5604662
    {'degree': 8, 'field': [-300167, -164424, 29464, 44928, 10086, -312, -200, 0, 1], 'lmfdb_label': '122694.n1', 'torsion': [2, 4]}
  • id: 5604663
    {'degree': 8, 'field': [25281, 0, -3558, 0, -86, 0, 10, 0, 1], 'lmfdb_label': '122694.n1', 'torsion': [2, 4]}
  • id: 5604666
    {'degree': 8, 'field': [72868, -55312, 30940, -6484, 2679, -242, 91, -2, 1], 'lmfdb_label': '122694.n1', 'torsion': [2, 6]}
  • id: 5604664
    {'degree': 8, 'field': [184900, 0, 28383, 0, 1943, 0, 69, 0, 1], 'lmfdb_label': '122694.n1', 'torsion': [3, 6]}
  • id: 5604665
    {'degree': 8, 'field': [222732, -34920, -2160, -5808, 1099, 326, -97, -2, 1], 'lmfdb_label': '122694.n1', 'torsion': [2, 6]}
  • id: 5604670
    {'degree': 16, 'field': [331776, 0, 134784, 0, 29880, 0, 11232, 0, 1168, 0, -195, 0, 8, 0, 0, 0, 1], 'lmfdb_label': '122694.n1', 'torsion': [12]}
  • id: 5604669
    {'degree': 16, 'field': [1440000, 0, 1982400, 0, 912388, 0, 152964, 0, 24125, 0, 1518, 0, 155, 0, 6, 0, 1], 'lmfdb_label': '122694.n1', 'torsion': [12]}
  • id: 5604668
    {'degree': 16, 'field': [46735208932, -3174998952, 13800338338, -219405240, 1798117175, 21168996, 143742510, 2709456, 7892711, 97872, 304878, 936, 7997, -12, 130, 0, 1], 'lmfdb_label': '122694.n1', 'torsion': [6, 6]}
  • id: 5604667
    {'degree': 16, 'field': [112454925696, -10334801664, -12749565888, 5832243648, 1945054512, -562503744, -173598624, 42874128, 13733364, -1629936, -608248, 30140, 14257, -220, -174, 0, 1], 'lmfdb_label': '122694.n1', '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: 3023436
    {'conductor': 122694, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '122694.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3023437
    {'conductor': 122694, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '122694.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3023438
    {'conductor': 122694, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '122694.n1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3023439
    {'conductor': 122694, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '122694.n1', 'prime': 13, '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: 2465057
    {'adelic_gens': [[7, 12, 144, 247], [804, 5, 2995, 3360], [5, 12, 3384, 3317], [6, 577, 1759, 36], [937, 12, 2190, 73], [1, 0, 12, 1], [1, 6, 6, 37], [3421, 12, 3420, 13], [10, 3, 1689, 3424], [1, 12, 0, 1], [1574, 3015, 3003, 3290]], 'adelic_image': '3432.144.5.?', 'conductor': 122694, 'lmfdb_label': '122694.n1', 'prime': 0}
  • id: 481368
    {'conductor': 122694, 'elladic_image': '2.3.0.1', 'lmfdb_label': '122694.n1', 'modell_image': '2B', 'prime': 2}
  • id: 481369
    {'conductor': 122694, 'elladic_image': '3.6.0.1', 'lmfdb_label': '122694.n1', 'modell_image': '3Ns', 'prime': 3}
• ec_padic •

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

  
  
  • id: 6421472
    {'lmfdb_iso': '122694.n', 'p': 29, 'prec': 20, 'unit': 1636015085880159802298750591, 'val': 1}
  • id: 6421468
    {'lmfdb_iso': '122694.n', 'p': 37, 'prec': 20, 'unit': 589169447605572049256432770737, 'val': 1}
  • id: 6421470
    {'lmfdb_iso': '122694.n', 'p': 41, 'prec': 20, 'unit': 2492632119235813650567854075642, 'val': 1}
  • id: 6421471
    {'lmfdb_iso': '122694.n', 'p': 43, 'prec': 20, 'unit': 3916437740477671268481162987834, 'val': 1}
  • id: 6421473
    {'lmfdb_iso': '122694.n', 'p': 47, 'prec': 20, 'unit': 12652413016283707882057587775574, 'val': 1}
  • id: 6421475
    {'lmfdb_iso': '122694.n', 'p': 53, 'prec': 20, 'unit': 509713520182523378252021957481404, 'val': 1}
  • id: 6421479
    {'lmfdb_iso': '122694.n', 'p': 61, 'prec': 20, 'unit': 240627136152026923902644174744572, 'val': 1}
  • id: 6421467
    {'lmfdb_iso': '122694.n', 'p': 67, 'prec': 20, 'unit': 30968977868611073619267557745440411, 'val': 1}
  • id: 6421469
    {'lmfdb_iso': '122694.n', 'p': 71, 'prec': 20, 'unit': 137900141467655447431719199123353058, 'val': 1}
  • id: 6421476
    {'lmfdb_iso': '122694.n', 'p': 73, 'prec': 20, 'unit': 203554312239662222255486920433120825, 'val': 1}
  • id: 6421478
    {'lmfdb_iso': '122694.n', 'p': 79, 'prec': 20, 'unit': 9885987997061801793756510458326345, 'val': 1}
  • id: 6421474
    {'lmfdb_iso': '122694.n', 'p': 83, 'prec': 20, 'unit': 2396334594053825179125664054632135211, 'val': 1}
  • id: 6421477
    {'lmfdb_iso': '122694.n', 'p': 89, 'prec': 20, 'unit': 548184537679070015525607437965747319, 'val': 1}
  • id: 6421466
    {'lmfdb_iso': '122694.n', 'p': 97, 'prec': 20, 'unit': 22677030609027025207105745523620941406, 'val': 1}