Elliptic curve data - 87120.er1

Formats: - HTML - YAML - JSON - 2024-06-10T02:03:02.935928

• 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': '87120br', 'Clabel': '87120br2', 'Cnumber': 2, 'abc_quality': 0.8283760777351332, 'absD': 44004962988518400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 0, 0, -235587, -42839566], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 87120, 'degree': 608256, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9696655666352733302124912643', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 121, 'isogeny_degrees': [1, 2], 'jinv': [821516, 25], 'lmfdb_iso': '87120.er', 'lmfdb_label': '87120.er1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -216, 1120], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.e.1', '44.6.0.a.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.6492492493604988364349825753', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.95568468276418051471261580552', 'prec': 107}, 'szpiro_ratio': 4.283334577919052, '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, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 1, 0, 0, -2, -6, 0, -2, 8, -4, -2, 4, 4, 2, 10, 0, 8, 2, 8, -10, 4, 12, -6, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 87120, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '87120.er', 'trace_hash': 826239465962112951}
• 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': '0.019461227360543378632003777329', 'prec': 107}, 'conductor': 87120, 'gens': [[27883, 4655250, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.6492492493604988364349825753', 'prec': 100}], 'lmfdb_label': '87120.er1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21710530349789886862721133172', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6427703192539448128780089391267732288', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-242, 0, 1]], 'xcoord_integral_points': [-242, 27883]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [1, 1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 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': '87120.er1'}
• ec_torsion_growth •

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

  
  
  • id: 4079062
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '87120.er1', 'torsion': [2, 2]}
  • id: 4079063
    {'degree': 4, 'field': [396, 0, 33, 0, 1], 'lmfdb_label': '87120.er1', 'torsion': [4]}
  • id: 4079066
    {'degree': 8, 'field': [-1602, -2904, -2330, -1320, -408, -110, -12, 0, 1], 'lmfdb_label': '87120.er1', 'torsion': [6]}
  • id: 4079064
    {'degree': 8, 'field': [49, 0, -472, 0, -130, 0, -8, 0, 1], 'lmfdb_label': '87120.er1', 'torsion': [2, 4]}
  • id: 4079065
    {'degree': 8, 'field': [1156, 0, 345, 0, 83, 0, 15, 0, 1], 'lmfdb_label': '87120.er1', 'torsion': [2, 4]}
  • id: 4079068
    {'degree': 16, 'field': [31684, 0, -252504, 0, -100508, 0, 21992, 0, 4740, 0, -1552, 0, 28, 0, 24, 0, 1], 'lmfdb_label': '87120.er1', 'torsion': [2, 6]}
  • id: 4079067
    {'degree': 16, 'field': [456976, 0, 715208, 0, 355128, 0, 82486, 0, 23465, 0, 2836, 0, 498, 0, 38, 0, 1], 'lmfdb_label': '87120.er1', '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: 2126559
    {'conductor': 87120, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '87120.er1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2126560
    {'conductor': 87120, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '87120.er1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2126561
    {'conductor': 87120, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '87120.er1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2126562
    {'conductor': 87120, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '87120.er1', '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: 2237918
    {'adelic_gens': [[1, 2, 2, 5], [217, 4, 216, 5], [56, 169, 165, 56], [3, 4, 8, 11], [177, 4, 134, 9], [1, 4, 0, 1], [184, 1, 119, 0], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 87120, 'lmfdb_label': '87120.er1', 'prime': 0}
  • id: 354884
    {'conductor': 87120, 'elladic_image': '2.3.0.1', 'lmfdb_label': '87120.er1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4503475
    {'lmfdb_iso': '87120.er', 'p': 13, 'prec': 20, 'unit': 1457249157982334646091, 'val': 1}
  • id: 4503477
    {'lmfdb_iso': '87120.er', 'p': 17, 'prec': 20, 'unit': 80631269143834929737808, 'val': 1}
  • id: 4503481
    {'lmfdb_iso': '87120.er', 'p': 23, 'prec': 20, 'unit': 51678028354792997158340833, 'val': 1}
  • id: 4503474
    {'lmfdb_iso': '87120.er', 'p': 29, 'prec': 20, 'unit': 2218358955322168220858021316, 'val': 1}
  • id: 4503485
    {'lmfdb_iso': '87120.er', 'p': 31, 'prec': 20, 'unit': 2450660211035635791807727715, 'val': 1}
  • id: 4503470
    {'lmfdb_iso': '87120.er', 'p': 37, 'prec': 20, 'unit': 189974737148471539778043688435, 'val': 1}
  • id: 4503472
    {'lmfdb_iso': '87120.er', 'p': 41, 'prec': 20, 'unit': 1318720545561459361234835187345, 'val': 1}
  • id: 4503473
    {'lmfdb_iso': '87120.er', 'p': 43, 'prec': 20, 'unit': 3070352509912607715762435896693, 'val': 1}
  • id: 4503476
    {'lmfdb_iso': '87120.er', 'p': 47, 'prec': 20, 'unit': 53808055005310462048463430617832, 'val': 1}
  • id: 4503479
    {'lmfdb_iso': '87120.er', 'p': 53, 'prec': 20, 'unit': 2650387397576000733853041463964, 'val': 1}
  • id: 4503484
    {'lmfdb_iso': '87120.er', 'p': 61, 'prec': 20, 'unit': 7937607709606504545292544950738219, 'val': 1}
  • id: 4503469
    {'lmfdb_iso': '87120.er', 'p': 67, 'prec': 20, 'unit': 33056445110382745331531663534031616, 'val': 1}
  • id: 4503471
    {'lmfdb_iso': '87120.er', 'p': 71, 'prec': 20, 'unit': 124862338002276170562901982072907199, 'val': 1}
  • id: 4503480
    {'lmfdb_iso': '87120.er', 'p': 73, 'prec': 20, 'unit': 99820213696601086522714328818568423, 'val': 1}
  • id: 4503483
    {'lmfdb_iso': '87120.er', 'p': 79, 'prec': 20, 'unit': 1027690549731666612776678145723412969, 'val': 1}
  • id: 4503478
    {'lmfdb_iso': '87120.er', 'p': 83, 'prec': 20, 'unit': 1595552768530540486980763570467719502, 'val': 1}
  • id: 4503482
    {'lmfdb_iso': '87120.er', 'p': 89, 'prec': 20, 'unit': 9251809285325339368306627666741174795, 'val': 1}
  • id: 4503468
    {'lmfdb_iso': '87120.er', 'p': 97, 'prec': 20, 'unit': 5197615258796040487713613720192513487, 'val': 1}