Elliptic curve data - 17787.f1

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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': '17787m', 'Clabel': '17787m2', 'Cnumber': 2, 'abc_quality': 1.1059237401535138, 'absD': 16282337120241102603, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 6006, 'ainvs': [0, 1, 1, -5409224, 4844375036], 'analytic_rank': 1, 'bad_primes': [3, 7, 11], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 17787, 'degree': 764400, 'elladic_images': ['13.28.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6092898732385579905854067296', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 13, 'iso_nlabel': 5, 'isogeny_degrees': [1, 13], 'jinv': [-1713910976512, 1594323], 'lmfdb_iso': '17787.f', 'lmfdb_label': '17787.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -912, 10919], 'min_quad_twist_disc': 77, 'modell_images': ['13B.4.2'], 'modm_images': ['6.2.0.a.1', '13.28.0.a.2', '78.56.1.?', '91.84.2.?', '143.56.0.?', '546.168.9.?', '858.112.1.?', '1001.168.2.?', '6006.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.14477240716403379933794979753', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11306880413583051515086644499', 'prec': 103}, 'szpiro_ratio': 5.939580283132803, '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, -2, 1, 2, -2, -2, 0, 0, 1, 4, 0, 2, -1, 0, -2, -4, 0, -2, -1, -4], 'aplist': [-2, 1, -2, 0, 0, -1, 0, -1, 0, -4, 9, 3, 10, -5, -6, 12, -12, -10, -5, -6, 3, 1, -6, 16, -6], 'class_deg': 13, 'class_size': 2, 'conductor': 17787, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '17787.f', 'trace_hash': 812135220874382535}
• 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': '0.0054150143608809864400743255550', 'prec': 110}, 'conductor': 17787, 'gens': [[898, 26680, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.14477240716403379933794979753', 'prec': 103}], 'lmfdb_label': '17787.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21881043165346370607784607693', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4708616064397124902841305174736071985', 'prec': 130}, 'tamagawa_product': 78, 'torsion_generators': [], 'xcoord_integral_points': [-2630, 898, 1339, 1354, 1987]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 3, 0], '3': [2, 0], '5': [1, 0], '7': 'a', '11': 'a', '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '17787.f1'}
• ec_torsion_growth •

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

  
  
  • id: 910144
    {'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '17787.f1', 'torsion': [2]}
  • id: 910145
    {'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '17787.f1', 'torsion': [2, 2]}
  • id: 910146
    {'degree': 8, 'field': [-51, -105, -105, 290, -139, 47, 1, -2, 1], 'lmfdb_label': '17787.f1', 'torsion': [3]}
  • id: 910147
    {'degree': 12, 'field': [-340929, 619164, -408834, 14454, 129619, -75296, 18900, -2320, 235, -4, -6, -2, 1], 'lmfdb_label': '17787.f1', 'torsion': [4]}
  • id: 910148
    {'degree': 12, 'field': [240813, -646218, -869751, 675765, 629682, -167987, -138670, 3756, 8061, 90, -168, -1, 1], 'lmfdb_label': '17787.f1', 'torsion': [13]}
• 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: 398268
    {'conductor': 17787, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '17787.f1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 13}
  • id: 398269
    {'conductor': 17787, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '17787.f1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 398270
    {'conductor': 17787, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '17787.f1', '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: 1782603
    {'adelic_gens': [[14, 23, 871, 1431], [2003, 572, 5291, 1431], [1, 0, 26, 1], [1637, 0, 0, 6005], [4929, 572, 2860, 287], [1, 26, 0, 1], [5521, 5434, 2574, 4267], [5981, 26, 5980, 27]], 'adelic_image': '6006.336.9.?', 'conductor': 17787, 'lmfdb_label': '17787.f1', 'prime': 0}
  • id: 83240
    {'conductor': 17787, 'elladic_image': '13.28.0.2', 'lmfdb_label': '17787.f1', 'modell_image': '13B.4.2', 'prime': 13}
• ec_padic •

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

  
  
  • id: 815036
    {'lmfdb_iso': '17787.f', 'p': 5, 'prec': 20, 'unit': 4067250617532, 'val': 1}
  • id: 815027
    {'lmfdb_iso': '17787.f', 'p': 13, 'prec': 20, 'unit': 816659318016346609994, 'val': 1}
  • id: 815030
    {'lmfdb_iso': '17787.f', 'p': 19, 'prec': 20, 'unit': 514444399810743952214890, 'val': 1}
  • id: 815026
    {'lmfdb_iso': '17787.f', 'p': 29, 'prec': 20, 'unit': 1983788523423650095592581863, 'val': 1}
  • id: 815023
    {'lmfdb_iso': '17787.f', 'p': 31, 'prec': 20, 'unit': 13366241943677968343444990709, 'val': 1}
  • id: 815021
    {'lmfdb_iso': '17787.f', 'p': 37, 'prec': 20, 'unit': 147812211053084341988763605136, 'val': 1}
  • id: 815024
    {'lmfdb_iso': '17787.f', 'p': 41, 'prec': 20, 'unit': 3377415789765947794115907633644, 'val': 1}
  • id: 815025
    {'lmfdb_iso': '17787.f', 'p': 43, 'prec': 20, 'unit': 4939890921193990738008221487592, 'val': 1}
  • id: 815034
    {'lmfdb_iso': '17787.f', 'p': 47, 'prec': 20, 'unit': 51724111002660397017287377092997, 'val': 1}
  • id: 815031
    {'lmfdb_iso': '17787.f', 'p': 53, 'prec': 20, 'unit': 100190531835290170463641604612995, 'val': 1}
  • id: 815029
    {'lmfdb_iso': '17787.f', 'p': 59, 'prec': 20, 'unit': 862212977303176680190564175873621, 'val': 1}
  • id: 815035
    {'lmfdb_iso': '17787.f', 'p': 61, 'prec': 20, 'unit': 2459406064088342078843260131853620, 'val': 1}
  • id: 815020
    {'lmfdb_iso': '17787.f', 'p': 67, 'prec': 20, 'unit': 3345760853694297551142296019639652, 'val': 1}
  • id: 815022
    {'lmfdb_iso': '17787.f', 'p': 71, 'prec': 20, 'unit': 134388941956700693265450898064861633, 'val': 1}
  • id: 815032
    {'lmfdb_iso': '17787.f', 'p': 73, 'prec': 20, 'unit': 239556859914292157127826873253023776, 'val': 1}
  • id: 815028
    {'lmfdb_iso': '17787.f', 'p': 79, 'prec': 20, 'unit': 16280393058985623410375754586771083634, 'val': -1}
  • id: 815019
    {'lmfdb_iso': '17787.f', 'p': 83, 'prec': 20, 'unit': 2617891425127683601647016199823191084, 'val': 1}
  • id: 815033
    {'lmfdb_iso': '17787.f', 'p': 89, 'prec': 20, 'unit': 1628525326240266727551856173494164639, 'val': 1}
  • id: 815018
    {'lmfdb_iso': '17787.f', 'p': 97, 'prec': 20, 'unit': 40045754757232723508726571292039385809, 'val': 1}