Elliptic curve data - 38088.g1

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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': '38088i', 'Clabel': '38088i6', 'Cnumber': 6, 'abc_quality': 1.2105879594055395, 'absD': 1989147581908992, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1104, 'ainvs': [0, 0, 0, -1829811, -952700434], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 38088, 'degree': 360448, 'elladic_images': ['16.48.0.210'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1648481467787177278592204790', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3065617154, 9], 'lmfdb_iso': '38088.g', 'lmfdb_label': '38088.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -384, -2772], 'min_quad_twist_disc': 69, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.r.1', '16.48.0.l.1', '24.48.0.bf.1', '48.96.1.bv.1', '184.48.0.?', '276.12.0.?', '368.96.0.?', '552.96.0.?', '1104.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '20.160176042859449883906826350', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800004', 'prec': 107}, 'szpiro_ratio': 5.202367264726295, '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, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, -2, 0, 4, -2, 2, 4, 0, -6, 8, -6, 6, -4, 0, -2, -4, 2, 4, -8, 10, 8, -4, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 38088, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '38088.g', 'trace_hash': 1963375571345692019}
• 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': '0.013171547166418256813632222226', 'prec': 107}, 'conductor': 38088, 'gens': [[1204754962, 24013181137140, 803]], 'heights': [{'__RealLiteral__': 0, 'data': '20.160176042859449883906826350', 'prec': 100}], 'lmfdb_label': '38088.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12980698795852724580547588890', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2338634576744921424461021101226086816', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-782, 0, 1]], 'xcoord_integral_points': [-782]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '38088.g1'}
• ec_torsion_growth •

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

  
  
  • id: 1881357
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [2, 2]}
  • id: 1881359
    {'degree': 2, 'field': [69, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [4]}
  • id: 1881358
    {'degree': 2, 'field': [138, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [4]}
  • id: 1881362
    {'degree': 4, 'field': [78, -6, 7, -2, 1], 'lmfdb_label': '38088.g1', 'torsion': [8]}
  • id: 1881361
    {'degree': 4, 'field': [169, 0, 20, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [8]}
  • id: 1881360
    {'degree': 4, 'field': [1225, 0, 68, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [2, 4]}
  • id: 1881367
    {'degree': 8, 'field': [-12983, -6516, 1366, 1178, 72, -34, -26, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [6]}
  • id: 1881363
    {'degree': 8, 'field': [2500, 0, 0, 0, -238, 0, 0, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [2, 4]}
  • id: 1881365
    {'degree': 8, 'field': [3550, -1220, 1402, -380, 231, -52, 22, -4, 1], 'lmfdb_label': '38088.g1', 'torsion': [2, 8]}
  • id: 1881366
    {'degree': 8, 'field': [5694, -1176, 1362, -384, 223, -40, 18, -4, 1], 'lmfdb_label': '38088.g1', 'torsion': [16]}
  • id: 1881364
    {'degree': 8, 'field': [84819, 19236, -17498, -3408, 1535, 200, -62, -4, 1], 'lmfdb_label': '38088.g1', 'torsion': [8]}
  • id: 1881368
    {'degree': 16, 'field': [390625, 0, -812500, 0, 845000, 0, -382200, 0, 100511, 0, -15288, 0, 1352, 0, -52, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [4, 4]}
  • id: 1881371
    {'degree': 16, 'field': [17355214, 5085072, 11853492, 2451816, 3587806, 498240, 647316, 54756, 79695, 3300, 7128, 36, 466, -12, 24, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [2, 16]}
  • id: 1881370
    {'degree': 16, 'field': [33716233, 75598584, 39713784, 28117680, 37107592, 5112024, 11113512, 331680, 1658262, -3192, 131304, -912, 5608, -24, 120, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [16]}
  • id: 1881372
    {'degree': 16, 'field': [68017032, 116493168, 16020232, -53995056, -10592768, 4316192, 2883456, 375608, -225808, -87216, -1780, 4840, 966, -68, -56, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [2, 6]}
  • id: 1881374
    {'degree': 16, 'field': [134718621, 54549624, -31348698, -4900932, 7276044, 629160, -91058, 169832, -65494, -29016, 6266, -380, -36, 232, -22, -8, 1], 'lmfdb_label': '38088.g1', 'torsion': [12]}
  • id: 1881373
    {'degree': 16, 'field': [190525624, 127873776, 41223320, -48895552, -14703944, 3992992, 2220176, 504344, -133208, -75368, -2800, 3512, 1006, -80, -52, 0, 1], 'lmfdb_label': '38088.g1', 'torsion': [12]}
  • id: 1881369
    {'degree': 16, 'field': [4315199881, 2374781672, -1808541392, -1057344760, 346849184, 201638840, -40512456, -21151312, 3180737, 1310296, -169668, -47816, 5846, 952, -116, -8, 1], 'lmfdb_label': '38088.g1', 'torsion': [2, 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: 899113
    {'conductor': 38088, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '38088.g1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 899114
    {'conductor': 38088, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '38088.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 899115
    {'conductor': 38088, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '38088.g1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1918366
    {'adelic_gens': [[691, 736, 966, 277], [1, 16, 0, 1], [15, 2, 1006, 1091], [1007, 0, 0, 1103], [5, 4, 1100, 1101], [1, 0, 16, 1], [1089, 16, 1088, 17], [484, 805, 759, 898], [643, 368, 368, 459]], 'adelic_image': '1104.192.1.?', 'conductor': 38088, 'lmfdb_label': '38088.g1', 'prime': 0}
  • id: 167945
    {'conductor': 38088, 'elladic_image': '16.48.0.210', 'lmfdb_label': '38088.g1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1878726
    {'lmfdb_iso': '38088.g', 'p': 5, 'prec': 20, 'unit': 118746478602, 'val': 3}
  • id: 1878734
    {'lmfdb_iso': '38088.g', 'p': 11, 'prec': 20, 'unit': 26091529570976045518, 'val': 1}
  • id: 1878732
    {'lmfdb_iso': '38088.g', 'p': 13, 'prec': 20, 'unit': 390989976402059763035, 'val': 1}
  • id: 1878735
    {'lmfdb_iso': '38088.g', 'p': 17, 'prec': 20, 'unit': 61558262737975564596463, 'val': 1}
  • id: 1878736
    {'lmfdb_iso': '38088.g', 'p': 19, 'prec': 20, 'unit': 520587512177456091515806, 'val': 1}
  • id: 1878731
    {'lmfdb_iso': '38088.g', 'p': 29, 'prec': 20, 'unit': 5261373664171790700305699274, 'val': 1}
  • id: 1878728
    {'lmfdb_iso': '38088.g', 'p': 31, 'prec': 20, 'unit': 4569199297607058864639229090, 'val': 1}
  • id: 1878742
    {'lmfdb_iso': '38088.g', 'p': 37, 'prec': 20, 'unit': 8589712583963964525643203609, 'val': 2}
  • id: 1878729
    {'lmfdb_iso': '38088.g', 'p': 41, 'prec': 20, 'unit': 1021622187958947800602113874118, 'val': 1}
  • id: 1878730
    {'lmfdb_iso': '38088.g', 'p': 43, 'prec': 20, 'unit': 111918772316832196795477588298, 'val': 1}
  • id: 1878737
    {'lmfdb_iso': '38088.g', 'p': 53, 'prec': 20, 'unit': 198271391414322212382464637874700, 'val': 1}
  • id: 1878740
    {'lmfdb_iso': '38088.g', 'p': 59, 'prec': 20, 'unit': 4134366098888615086081060542453209, 'val': 1}
  • id: 1878741
    {'lmfdb_iso': '38088.g', 'p': 61, 'prec': 20, 'unit': 5690695616681547850150187983566706, 'val': 1}
  • id: 1878725
    {'lmfdb_iso': '38088.g', 'p': 67, 'prec': 20, 'unit': 39032336928711676796626356584022868, 'val': 1}
  • id: 1878727
    {'lmfdb_iso': '38088.g', 'p': 71, 'prec': 20, 'unit': 109058153123201777231430623160833112, 'val': 1}
  • id: 1878738
    {'lmfdb_iso': '38088.g', 'p': 73, 'prec': 20, 'unit': 232577965131549339440220388922849884, 'val': 1}
  • id: 1878733
    {'lmfdb_iso': '38088.g', 'p': 79, 'prec': 20, 'unit': 938991056561667366653487920983342947, 'val': 1}
  • id: 1878724
    {'lmfdb_iso': '38088.g', 'p': 83, 'prec': 20, 'unit': 355026340915292000891574503264008505, 'val': 1}
  • id: 1878739
    {'lmfdb_iso': '38088.g', 'p': 89, 'prec': 20, 'unit': 1812178153071474408816196558749673025, 'val': 1}
  • id: 1878723
    {'lmfdb_iso': '38088.g', 'p': 97, 'prec': 20, 'unit': 2735176207552115527268121348431159531, 'val': 1}