Elliptic curve data - 87120.ci4

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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': '87120cy', 'Clabel': '87120cy3', 'Cnumber': 3, 'abc_quality': 1.0820688714039877, 'absD': 71413012813824000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, 101277, -3378078], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 622080, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9230392405838577208588993731', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 60, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [804357, 500], 'lmfdb_iso': '87120.ci', 'lmfdb_label': '87120.ci4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 6, 0], 'min_quad_twist_disc': -132, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0.cd.1', '30.24.0.b.1', '40.6.0.e.1', '120.48.1.?', '132.24.0.?', '264.48.0.?', '660.48.0.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2978893764677306881842561138', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79301479287635512913573846503', 'prec': 107}, 'szpiro_ratio': 4.06068372013609, '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, -1, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, -1, 2, 0, 4, -6, -4, 0, -6, 4, 8, 0, 8, 0, 6, 6, -2, 4, -12, 10, -4, -12, -12, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 87120, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '87120.ci', 'trace_hash': 134699657991390606}
• 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': '0.021363349162851300738499185813', 'prec': 107}, 'conductor': 87120, 'gens': [[11617, 1998800, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '8.2978893764677306881842561138', 'prec': 100}], 'lmfdb_label': '87120.ci4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.19955499488963988531518884830', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6235410884632603676524037247859041540', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[33, 0, 1]], 'xcoord_integral_points': [33]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '87120.ci4'}
• ec_torsion_growth •

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

  
  
  • id: 4079506
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '87120.ci4', 'torsion': [2, 2]}
  • id: 4079507
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '87120.ci4', 'torsion': [6]}
  • id: 4079508
    {'degree': 4, 'field': [-402, -132, 30, 0, 1], 'lmfdb_label': '87120.ci4', 'torsion': [4]}
  • id: 4079509
    {'degree': 4, 'field': [484, 0, -11, 0, 1], 'lmfdb_label': '87120.ci4', 'torsion': [2, 6]}
  • id: 4079510
    {'degree': 6, 'field': [-250, 0, 0, -34, 0, 0, 1], 'lmfdb_label': '87120.ci4', 'torsion': [6]}
  • id: 4079513
    {'degree': 8, 'field': [1633, -932, 1112, -380, 241, -64, 26, -4, 1], 'lmfdb_label': '87120.ci4', 'torsion': [12]}
  • id: 4079511
    {'degree': 8, 'field': [39601, 0, 4786, 0, 522, 0, 34, 0, 1], 'lmfdb_label': '87120.ci4', 'torsion': [2, 4]}
  • id: 4079512
    {'degree': 8, 'field': [43396, 18902, -3685, -1858, 409, 118, -25, -2, 1], 'lmfdb_label': '87120.ci4', 'torsion': [2, 4]}
  • id: 4079514
    {'degree': 12, 'field': [185293, -39708, 48597, -18244, 10398, -1848, 1163, -510, 186, -50, 21, -6, 1], 'lmfdb_label': '87120.ci4', 'torsion': [3, 6]}
  • id: 4079515
    {'degree': 12, 'field': [192646, -221136, 180030, -49754, -8358, 8838, -1621, -486, 231, -4, 9, -6, 1], 'lmfdb_label': '87120.ci4', 'torsion': [2, 6]}
  • id: 4079517
    {'degree': 16, 'field': [608089, 134148, 405644, 747580, 69311, 234936, 169442, -62460, 91660, -30684, 17104, -3964, 1431, -208, 58, -4, 1], 'lmfdb_label': '87120.ci4', 'torsion': [2, 12]}
  • id: 4079518
    {'degree': 16, 'field': [1764481, 3348190, 2003892, -274138, -508773, 48078, 118444, 1616, -9120, 4474, 2212, -114, -93, 58, 12, -4, 1], 'lmfdb_label': '87120.ci4', 'torsion': [2, 12]}
  • id: 4079516
    {'degree': 16, 'field': [1858748068, -361292768, 324909280, 74277024, -40913652, 4525600, -1487304, -44640, 42493, -18344, 1372, 920, 150, -168, 44, -8, 1], 'lmfdb_label': '87120.ci4', 'torsion': [8]}
  • id: 4079519
    {'degree': 18, 'field': [2005901128225, 79618826400, 300571908000, -53857204200, 19656109800, -4546374060, 1738254087, -210469614, 82821546, -9063808, 4825257, -402456, 116922, -19440, 3579, -246, 75, 0, 1], 'lmfdb_label': '87120.ci4', '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: 2126795
    {'conductor': 87120, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '87120.ci4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2126796
    {'conductor': 87120, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '87120.ci4', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2126797
    {'conductor': 87120, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '87120.ci4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2126798
    {'conductor': 87120, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '87120.ci4', 'prime': 11, '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: 2237803
    {'adelic_gens': [[661, 132, 726, 793], [681, 902, 154, 1099], [11, 2, 1270, 1311], [208, 1309, 1155, 32], [1, 0, 12, 1], [1090, 363, 1221, 232], [1, 6, 6, 37], [1, 12, 0, 1], [1309, 12, 1308, 13], [119, 0, 0, 1319]], 'adelic_image': '1320.96.1.?', 'conductor': 87120, 'lmfdb_label': '87120.ci4', 'prime': 0}
  • id: 354777
    {'conductor': 87120, 'elladic_image': '2.3.0.1', 'lmfdb_label': '87120.ci4', 'modell_image': '2B', 'prime': 2}
  • id: 354778
    {'conductor': 87120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '87120.ci4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4503696
    {'lmfdb_iso': '87120.ci', 'p': 7, 'prec': 20, 'unit': 7340034014238763, 'val': 1}
  • id: 4503700
    {'lmfdb_iso': '87120.ci', 'p': 13, 'prec': 20, 'unit': 963530658859398818194, 'val': 1}
  • id: 4503702
    {'lmfdb_iso': '87120.ci', 'p': 17, 'prec': 20, 'unit': 128418663663563262998810, 'val': 1}
  • id: 4503692
    {'lmfdb_iso': '87120.ci', 'p': 19, 'prec': 20, 'unit': 393124654952992998810810, 'val': 1}
  • id: 4503699
    {'lmfdb_iso': '87120.ci', 'p': 29, 'prec': 20, 'unit': 5084760676651989613389665586, 'val': 1}
  • id: 4503709
    {'lmfdb_iso': '87120.ci', 'p': 31, 'prec': 20, 'unit': 16928288131844185786361664214, 'val': 1}
  • id: 4503695
    {'lmfdb_iso': '87120.ci', 'p': 37, 'prec': 20, 'unit': 72705278316602169301065678404, 'val': 1}
  • id: 4503698
    {'lmfdb_iso': '87120.ci', 'p': 43, 'prec': 20, 'unit': 3744605824262413513874329386362, 'val': 1}
  • id: 4503704
    {'lmfdb_iso': '87120.ci', 'p': 53, 'prec': 20, 'unit': 95781255563110620039379117024898, 'val': 1}
  • id: 4503707
    {'lmfdb_iso': '87120.ci', 'p': 59, 'prec': 20, 'unit': 4335789790675524690487207960060383, 'val': 1}
  • id: 4503708
    {'lmfdb_iso': '87120.ci', 'p': 61, 'prec': 20, 'unit': 254900879662696119413737822430233, 'val': 1}
  • id: 4503694
    {'lmfdb_iso': '87120.ci', 'p': 67, 'prec': 20, 'unit': 1843665400601226496814009412906130, 'val': 1}
  • id: 4503706
    {'lmfdb_iso': '87120.ci', 'p': 71, 'prec': 20, 'unit': 136745284658854628046320230061670768, 'val': 1}
  • id: 4503697
    {'lmfdb_iso': '87120.ci', 'p': 73, 'prec': 20, 'unit': 170673541249722538097083719211120675, 'val': 1}
  • id: 4503701
    {'lmfdb_iso': '87120.ci', 'p': 79, 'prec': 20, 'unit': 615632588458630728751238589803623625, 'val': 1}
  • id: 4503703
    {'lmfdb_iso': '87120.ci', 'p': 83, 'prec': 20, 'unit': 1781683814159172618789093622650165410, 'val': 1}
  • id: 4503705
    {'lmfdb_iso': '87120.ci', 'p': 89, 'prec': 20, 'unit': 6586481706960526712818390470882570695, 'val': 1}
  • id: 4503693
    {'lmfdb_iso': '87120.ci', 'p': 97, 'prec': 20, 'unit': 10112409738598420967134724785899600939, 'val': 1}