Elliptic curve data - 116160.fa2

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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': '116160ds', 'Clabel': '116160ds2', 'Cnumber': 2, 'abc_quality': 0.919207014677319, 'absD': 7111913210265600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, 1, 0, -319601, 69319215], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 116160, 'degree': 983040, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9297695920452344994534990511', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 130, 'isogeny_degrees': [1, 2], 'jinv': [124386546256, 245025], 'lmfdb_iso': '116160.fa', 'lmfdb_label': '116160.fa2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -660, -6300], 'min_quad_twist_disc': -88, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0.b.1', '40.24.0-20.b.1.4', '44.12.0.b.1', '88.24.0.?', '220.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0648484898935293037112800542', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 38720], [5, 6, 23232], [11, 72, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.077849755007220300230910212916', 'prec': 110}, 'szpiro_ratio': 4.256131993714146, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 1, 0, -1, 0, -4, 0, 1, 0, 0, 0, 2, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, 1, -1, -4, 0, 2, 2, 4, 0, -2, 0, 2, 6, 0, 8, 2, -4, -10, -4, 0, -14, -16, 0, 10, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 116160, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '116160.fa', 'trace_hash': 1405313895923802601}
• 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': '0.021077710229655849358194215839', 'prec': 107}, 'conductor': 116160, 'gens': [[307, 480, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0648484898935293037112800542', 'prec': 100}], 'lmfdb_label': '116160.fa2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41984077752086165964899874702', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.9352607636774112120966823267485706956', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[315, 0, 1], [337, 0, 1]], 'xcoord_integral_points': [-653, -389, 307, 315, 337, 2977]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '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, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '116160.fa2'}
• ec_torsion_growth •

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

  
  
  • id: 5326230
    {'degree': 4, 'field': [23, -2, 3, -2, 1], 'lmfdb_label': '116160.fa2', 'torsion': [2, 4]}
  • id: 5326229
    {'degree': 4, 'field': [419, 46, -45, -2, 1], 'lmfdb_label': '116160.fa2', 'torsion': [2, 4]}
  • id: 5326231
    {'degree': 4, 'field': [729, 0, 56, 0, 1], 'lmfdb_label': '116160.fa2', 'torsion': [2, 4]}
  • id: 5326232
    {'degree': 8, 'field': [-363, 0, -946, 0, 66, 0, 0, 0, 1], 'lmfdb_label': '116160.fa2', 'torsion': [2, 6]}
  • id: 5326235
    {'degree': 16, 'field': [11664, 0, -1152, 0, 10432, 0, 1024, 0, 2008, 0, 224, 0, 64, 0, 16, 0, 1], 'lmfdb_label': '116160.fa2', 'torsion': [2, 8]}
  • id: 5326233
    {'degree': 16, 'field': [14436, -9048, 12652, -11256, 19586, -28952, 34622, -31532, 22557, -13112, 6314, -2492, 840, -224, 52, -8, 1], 'lmfdb_label': '116160.fa2', 'torsion': [4, 4]}
  • id: 5326234
    {'degree': 16, 'field': [149887411, -7136852, -166519460, -21435920, 55391759, 9761488, -8981982, -1821440, 872381, 192128, -59502, -11656, 2939, 356, -86, -4, 1], 'lmfdb_label': '116160.fa2', 'torsion': [2, 8]}
  • id: 5326236
    {'degree': 16, 'field': [637310025, 0, 197980200, 0, -4663890, 0, -3232680, 0, 39571, 0, 3368, 0, 54, 0, 32, 0, 1], 'lmfdb_label': '116160.fa2', '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: 2857799
    {'conductor': 116160, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '116160.fa2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2857800
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '116160.fa2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2857801
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '116160.fa2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2857802
    {'conductor': 116160, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '116160.fa2', 'prime': 11, '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: 2423388
    {'adelic_gens': [[223, 436, 224, 435], [177, 4, 134, 9], [101, 2, 0, 1], [1, 4, 0, 1], [111, 4, 0, 1], [437, 4, 436, 5], [1, 0, 4, 1], [219, 0, 0, 439]], 'adelic_image': '440.48.0.?', 'conductor': 116160, 'lmfdb_label': '116160.fa2', 'prime': 0}
  • id: 458362
    {'conductor': 116160, 'elladic_image': '8.12.0.1', 'lmfdb_label': '116160.fa2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6066333
    {'lmfdb_iso': '116160.fa', 'p': 7, 'prec': 20, 'unit': 1728282341171367, 'val': 1}
  • id: 6066336
    {'lmfdb_iso': '116160.fa', 'p': 13, 'prec': 20, 'unit': 430812557677558060295, 'val': 1}
  • id: 6066338
    {'lmfdb_iso': '116160.fa', 'p': 17, 'prec': 20, 'unit': 120169238509221014715883, 'val': 1}
  • id: 6066339
    {'lmfdb_iso': '116160.fa', 'p': 19, 'prec': 20, 'unit': 281264388495770929917381, 'val': 1}
  • id: 6066335
    {'lmfdb_iso': '116160.fa', 'p': 29, 'prec': 20, 'unit': 5376325133529144978358312874, 'val': 1}
  • id: 6066332
    {'lmfdb_iso': '116160.fa', 'p': 37, 'prec': 20, 'unit': 549942038540419493204193872254, 'val': 1}
  • id: 6066334
    {'lmfdb_iso': '116160.fa', 'p': 41, 'prec': 20, 'unit': 3627917571253648661752546212428, 'val': 1}
  • id: 6066344
    {'lmfdb_iso': '116160.fa', 'p': 47, 'prec': 20, 'unit': 46747918722214342220997069682801, 'val': 1}
  • id: 6066340
    {'lmfdb_iso': '116160.fa', 'p': 53, 'prec': 20, 'unit': 34685778628716670829293625311401, 'val': 1}
  • id: 6066341
    {'lmfdb_iso': '116160.fa', 'p': 59, 'prec': 20, 'unit': 4195849181349829607995391626018528, 'val': 1}
  • id: 6066345
    {'lmfdb_iso': '116160.fa', 'p': 61, 'prec': 20, 'unit': 2674891538119507708017419284627203, 'val': 1}
  • id: 6066331
    {'lmfdb_iso': '116160.fa', 'p': 67, 'prec': 20, 'unit': 40962531891505372544510410992603119, 'val': 1}
  • id: 6066342
    {'lmfdb_iso': '116160.fa', 'p': 73, 'prec': 20, 'unit': 142578302102256199521637044285012924, 'val': 1}
  • id: 6066337
    {'lmfdb_iso': '116160.fa', 'p': 79, 'prec': 20, 'unit': 862161832004904800049864389000323319, 'val': 1}
  • id: 6066343
    {'lmfdb_iso': '116160.fa', 'p': 89, 'prec': 20, 'unit': 5758936998377402910465139320172201238, 'val': 1}
  • id: 6066330
    {'lmfdb_iso': '116160.fa', 'p': 97, 'prec': 20, 'unit': 41645601029789936056008382150985075119, 'val': 1}