Elliptic curve data - 10192.g2

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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': '10192bb', 'Clabel': '10192bb1', 'Cnumber': 1, 'abc_quality': 0.8714055948137694, 'absD': 43852017664, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 3276, 'ainvs': [0, 1, 0, -5749, 166179], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 10192, 'degree': 13824, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92759380803593492437474397162', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3, 9], 'jinv': [-43614208, 91], 'lmfdb_iso': '10192.g', 'lmfdb_label': '10192.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -7, 5], 'min_quad_twist_disc': 28, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '84.8.0.?', '117.36.0.?', '156.8.0.?', '182.2.0.?', '252.24.0.?', '468.72.0.?', '546.8.0.?', '1092.16.0.?', '1638.72.3.?', '3276.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6520290670356309271792844802', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.73850844705166703759516452156', 'prec': 107}, 'szpiro_ratio': 4.072625419424813, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, 0, 3, 0, 0, 0, 1, 0, 0, 0, -1, 0, -6, 0, 6, 0, -7, 0], 'aplist': [0, -2, 3, 0, 0, -1, 6, -7, -3, -9, 5, 2, 6, 1, 3, -9, 0, 10, -14, 6, -11, 1, 3, -15, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 10192, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '10192.g', 'trace_hash': 494689570477086242}
• 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': '0.15642359234180077421173254599', 'prec': 103}, 'conductor': 10192, 'gens': [[30, 147, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6520290670356309271792844802', 'prec': 100}], 'lmfdb_label': '10192.g2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1413566179154985228807198946', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7711086172997682082661107754421577245', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [30]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': [1, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10192.g2'}
• ec_torsion_growth •

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

  
  
  • id: 528297
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '10192.g2', 'torsion': [3]}
  • id: 528298
    {'degree': 3, 'field': [-2, 4, 0, 1], 'lmfdb_label': '10192.g2', 'torsion': [2]}
  • id: 528302
    {'degree': 6, 'field': [-7, 0, -5, 0, -1, 0, 1], 'lmfdb_label': '10192.g2', 'torsion': [6]}
  • id: 528301
    {'degree': 6, 'field': [1, -188, 151, 34, -28, -2, 1], 'lmfdb_label': '10192.g2', 'torsion': [9]}
  • id: 528299
    {'degree': 6, 'field': [9, -33, 44, -23, 14, -3, 1], 'lmfdb_label': '10192.g2', 'torsion': [2, 2]}
  • id: 528300
    {'degree': 6, 'field': [6804, 0, 805, 0, 7, 0, 1], 'lmfdb_label': '10192.g2', 'torsion': [3]}
  • id: 528303
    {'degree': 12, 'field': [-1099, -2478, -3388, -2310, -765, 364, 368, 148, -1, 26, 12, -6, 1], 'lmfdb_label': '10192.g2', 'torsion': [4]}
  • id: 528305
    {'degree': 12, 'field': [49, 0, 343, 0, 833, 0, -336, 0, 42, 0, -7, 0, 1], 'lmfdb_label': '10192.g2', 'torsion': [9]}
  • id: 528306
    {'degree': 12, 'field': [413, -1876, 4085, -5450, 4832, -2976, 1365, -516, 172, -50, 13, -4, 1], 'lmfdb_label': '10192.g2', 'torsion': [2, 6]}
  • id: 528304
    {'degree': 12, 'field': [271188, 732564, 683274, 174510, -57965, -12768, 2213, -3192, 438, -42, 23, 0, 1], 'lmfdb_label': '10192.g2', 'torsion': [3, 3]}
  • id: 528308
    {'degree': 18, 'field': [-859, 3880, 7528, -13270, 895, -11118, -475, -2708, 6757, -3950, -686, -1414, 1594, -424, -77, 68, -19, -2, 1], 'lmfdb_label': '10192.g2', 'torsion': [18]}
  • id: 528307
    {'degree': 18, 'field': [6001464, 4190256, 10755472, 12954424, 3037944, 2343208, -1312044, -267648, 1159576, -581864, 239872, -86328, 28882, -6596, 1224, -178, 34, -6, 1], 'lmfdb_label': '10192.g2', 'torsion': [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: 215964
    {'conductor': 10192, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '10192.g2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 215965
    {'conductor': 10192, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '10192.g2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 215966
    {'conductor': 10192, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10192.g2', 'prime': 13, '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: 1731401
    {'adelic_gens': [[1637, 0, 0, 3275], [1, 18, 0, 1], [1, 0, 18, 1], [10, 9, 81, 73], [478, 9, 225, 1630], [1655, 3258, 1656, 3257], [1150, 9, 387, 76], [3265, 3258, 1800, 2267], [3259, 18, 3258, 19], [1, 18, 10, 181]], 'adelic_image': '3276.144.3.?', 'conductor': 10192, 'lmfdb_label': '10192.g2', 'prime': 0}
  • id: 49140
    {'conductor': 10192, 'elladic_image': '9.12.0.1', 'lmfdb_label': '10192.g2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 432599
    {'lmfdb_iso': '10192.g', 'p': 5, 'prec': 20, 'unit': 7802367547296, 'val': 1}
  • id: 432606
    {'lmfdb_iso': '10192.g', 'p': 17, 'prec': 20, 'unit': 172548254107975239393169, 'val': 1}
  • id: 432596
    {'lmfdb_iso': '10192.g', 'p': 19, 'prec': 20, 'unit': 422275356909614943524719, 'val': 1}
  • id: 432610
    {'lmfdb_iso': '10192.g', 'p': 23, 'prec': 20, 'unit': 27780470542366293319874104, 'val': 1}
  • id: 432604
    {'lmfdb_iso': '10192.g', 'p': 29, 'prec': 20, 'unit': 5707777430495285583499202674, 'val': 1}
  • id: 432601
    {'lmfdb_iso': '10192.g', 'p': 31, 'prec': 20, 'unit': 7586588289369274378052341531, 'val': 1}
  • id: 432614
    {'lmfdb_iso': '10192.g', 'p': 37, 'prec': 20, 'unit': 180914019289566634324019718904, 'val': 1}
  • id: 432602
    {'lmfdb_iso': '10192.g', 'p': 41, 'prec': 20, 'unit': 2174747394167860931053507295640, 'val': 1}
  • id: 432603
    {'lmfdb_iso': '10192.g', 'p': 43, 'prec': 20, 'unit': 459933425163977067863780765143139, 'val': -1}
  • id: 432605
    {'lmfdb_iso': '10192.g', 'p': 47, 'prec': 20, 'unit': 8493681417892667965936320727487, 'val': 1}
  • id: 432608
    {'lmfdb_iso': '10192.g', 'p': 53, 'prec': 20, 'unit': 407572701121528014216854149796415, 'val': 1}
  • id: 432613
    {'lmfdb_iso': '10192.g', 'p': 61, 'prec': 20, 'unit': 4958835239156926070599140561080952, 'val': 1}
  • id: 432598
    {'lmfdb_iso': '10192.g', 'p': 67, 'prec': 20, 'unit': 36208208485180836493221848857074395, 'val': 1}
  • id: 432600
    {'lmfdb_iso': '10192.g', 'p': 71, 'prec': 20, 'unit': 65943888114711841519919594069961001, 'val': 1}
  • id: 432609
    {'lmfdb_iso': '10192.g', 'p': 73, 'prec': 20, 'unit': 98987315874071313072562288590215325, 'val': 1}
  • id: 432612
    {'lmfdb_iso': '10192.g', 'p': 79, 'prec': 20, 'unit': 75153180146106093254319977312009502127, 'val': -1}
  • id: 432607
    {'lmfdb_iso': '10192.g', 'p': 83, 'prec': 20, 'unit': 1044773086669785495384933065357481294, 'val': 1}
  • id: 432611
    {'lmfdb_iso': '10192.g', 'p': 89, 'prec': 20, 'unit': 7536018744587901541547062171988605509, 'val': 1}
  • id: 432597
    {'lmfdb_iso': '10192.g', 'p': 97, 'prec': 20, 'unit': 1884673366823861644465471906219042624014, 'val': -1}