Elliptic curve data - 87120.fb1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '87120fn', 'Clabel': '87120fn2', 'Cnumber': 2, 'abc_quality': 0.9969513053929001, 'absD': 8393816014848000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 120, 'ainvs': [0, 0, 0, -279147, -56595814], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 87120, 'degree': 497664, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9181389591360868628981891624', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 131, 'isogeny_degrees': [1, 3], 'jinv': [55025549689, 192000], 'lmfdb_iso': '87120.fb', 'lmfdb_label': '87120.fb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1939, -32914], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.1', '120.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2724349861499937000163527019', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5445], [3, 8, 1936], [5, 6, 17424], [11, 52, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12361279002403680690398010351', 'prec': 107}, 'szpiro_ratio': 4.328079447366612, '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, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 3, 0, 1, 0], 'aplist': [0, 0, 1, 1, 0, -1, 3, 1, 6, -3, 4, -1, 0, 4, 6, -6, -6, -10, -2, -15, -4, 10, 3, -12, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 87120, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '87120.fb', 'trace_hash': 2247274959337477222}
• 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': '0.021573751355834452011804794379', 'prec': 107}, 'conductor': 87120, 'gens': [[-305, 414, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2724349861499937000163527019', 'prec': 100}], 'lmfdb_label': '87120.fb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20774588862451474363101963177', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1580189699641844659473448185469947672', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-305]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [3, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '87120.fb1'}
• ec_torsion_growth •

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

  
  
  • id: 4080777
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '87120.fb1', 'torsion': [3]}
  • id: 4080778
    {'degree': 3, 'field': [-22, -33, 0, 1], 'lmfdb_label': '87120.fb1', 'torsion': [2]}
  • id: 4080779
    {'degree': 6, 'field': [-750, 0, 301, 0, -32, 0, 1], 'lmfdb_label': '87120.fb1', 'torsion': [2, 2]}
  • id: 4080781
    {'degree': 6, 'field': [450, -750, 625, 20, 2, -2, 1], 'lmfdb_label': '87120.fb1', 'torsion': [6]}
  • id: 4080780
    {'degree': 6, 'field': [1062, -594, 27, -66, -9, 0, 1], 'lmfdb_label': '87120.fb1', 'torsion': [3]}
  • id: 4080782
    {'degree': 12, 'field': [750, 0, -5591, 0, 297, 0, 818, 0, -88, 0, -27, 0, 1], 'lmfdb_label': '87120.fb1', 'torsion': [4]}
  • id: 4080784
    {'degree': 12, 'field': [230400, 0, 349440, 0, 135376, 0, 22600, 0, 1833, 0, 70, 0, 1], 'lmfdb_label': '87120.fb1', 'torsion': [2, 6]}
  • id: 4080783
    {'degree': 12, 'field': [1188100, -215820, 35934, -144474, 9807, 1386, 6527, 0, 6, -132, -3, 0, 1], 'lmfdb_label': '87120.fb1', 'torsion': [3, 3]}
  • id: 4080786
    {'degree': 18, 'field': [-1728, 0, 0, 0, 0, 0, 730161, 0, 0, 0, 0, 0, -1818, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '87120.fb1', 'torsion': [6]}
  • id: 4080785
    {'degree': 18, 'field': [167961600, 0, -49699575, 0, 10344510, 0, 6112341, 0, 146286, 0, 16740, 0, 5590, 0, -315, 0, 6, 0, 1], 'lmfdb_label': '87120.fb1', 'torsion': [9]}
• 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: 2127327
    {'conductor': 87120, 'conductor_valuation': 4, 'discriminant_valuation': 21, 'j_denominator_valuation': 9, 'kodaira_symbol': -17, 'lmfdb_label': '87120.fb1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2127328
    {'conductor': 87120, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '87120.fb1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2127329
    {'conductor': 87120, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '87120.fb1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2127330
    {'conductor': 87120, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '87120.fb1', 'prime': 11, 'reduction_type': 0, '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: 2237942
    {'adelic_gens': [[97, 6, 51, 19], [61, 6, 63, 19], [1, 0, 6, 1], [4, 3, 9, 7], [115, 6, 114, 7], [89, 114, 27, 101], [22, 93, 119, 14], [3, 4, 8, 11], [1, 6, 0, 1]], 'adelic_image': '120.16.0.?', 'conductor': 87120, 'lmfdb_label': '87120.fb1', 'prime': 0}
  • id: 354912
    {'conductor': 87120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '87120.fb1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4504130
    {'lmfdb_iso': '87120.fb', 'p': 7, 'prec': 20, 'unit': 8306829688531637, 'val': 0}
  • id: 4504134
    {'lmfdb_iso': '87120.fb', 'p': 13, 'prec': 20, 'unit': 891442676927635174770, 'val': 1}
  • id: 4504136
    {'lmfdb_iso': '87120.fb', 'p': 17, 'prec': 20, 'unit': 138356519070425927288965, 'val': 1}
  • id: 4504137
    {'lmfdb_iso': '87120.fb', 'p': 19, 'prec': 20, 'unit': 32196602931767562262228020, 'val': -1}
  • id: 4504140
    {'lmfdb_iso': '87120.fb', 'p': 23, 'prec': 20, 'unit': 3348635979107508873577296, 'val': 1}
  • id: 4504133
    {'lmfdb_iso': '87120.fb', 'p': 29, 'prec': 20, 'unit': 4972612914491362392136782809, 'val': 1}
  • id: 4504145
    {'lmfdb_iso': '87120.fb', 'p': 31, 'prec': 20, 'unit': 17212130610798969531252886219, 'val': 1}
  • id: 4504129
    {'lmfdb_iso': '87120.fb', 'p': 37, 'prec': 20, 'unit': 263638819157563018138882039473, 'val': 1}
  • id: 4504132
    {'lmfdb_iso': '87120.fb', 'p': 43, 'prec': 20, 'unit': 2531488073169755560451660001505, 'val': 1}
  • id: 4504143
    {'lmfdb_iso': '87120.fb', 'p': 47, 'prec': 20, 'unit': 20799822351137165340156876376586, 'val': 1}
  • id: 4504138
    {'lmfdb_iso': '87120.fb', 'p': 53, 'prec': 20, 'unit': 375676775777021430485474546016163, 'val': 1}
  • id: 4504139
    {'lmfdb_iso': '87120.fb', 'p': 59, 'prec': 20, 'unit': 55617489401891697038341962268576, 'val': 1}
  • id: 4504144
    {'lmfdb_iso': '87120.fb', 'p': 61, 'prec': 20, 'unit': 4001610701817257562884418413820878, 'val': 1}
  • id: 4504128
    {'lmfdb_iso': '87120.fb', 'p': 67, 'prec': 20, 'unit': 30833155670609419223815770952000187, 'val': 1}
  • id: 4504142
    {'lmfdb_iso': '87120.fb', 'p': 71, 'prec': 20, 'unit': 58988633522179934768229230390838642, 'val': 1}
  • id: 4504131
    {'lmfdb_iso': '87120.fb', 'p': 73, 'prec': 20, 'unit': 91123856922376084370120970124584300, 'val': 1}
  • id: 4504135
    {'lmfdb_iso': '87120.fb', 'p': 79, 'prec': 20, 'unit': 38093965474485458681095475009922793, 'val': 1}
  • id: 4504127
    {'lmfdb_iso': '87120.fb', 'p': 83, 'prec': 20, 'unit': 98021857518087176447142993597857673, 'val': 1}
  • id: 4504141
    {'lmfdb_iso': '87120.fb', 'p': 89, 'prec': 20, 'unit': 889443659097251292084099114318778439, 'val': 1}
  • id: 4504126
    {'lmfdb_iso': '87120.fb', 'p': 97, 'prec': 20, 'unit': 4125061989082202368254142045351796024, 'val': 1}