Elliptic curve data - 159600.bi1

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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': '159600dq', 'Clabel': '159600dq1', 'Cnumber': 1, 'abc_quality': 1.0440036533448367, 'absD': 8298206169523200000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 228, 'ainvs': [0, -1, 0, -26121208, -51563059088], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 159600, 'degree': 12441600, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0605895939513080165154713860', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 3], 'jinv': [-1231922871794037145, 5186378855952], 'lmfdb_iso': '159600.bi', 'lmfdb_label': '159600.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -65303, 6419261], 'min_quad_twist_disc': -20, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.1', '114.8.0.?', '228.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.852490211795716363787014923', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2944838051019624573643997091', 'prec': 100}, 'szpiro_ratio': 5.246526802208578, '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, -1, 0, 0, 0, -1, 0, 1, 0, 3, 0, -4, 0, 0, 0, 0, 0, -1, 0], 'aplist': [0, -1, 0, -1, 3, -4, 0, -1, -3, 9, 7, 2, -6, -8, 0, -3, 0, 5, 13, 6, -1, 1, 3, -3, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 159600, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '159600.bi', 'trace_hash': 460998089573002251}
• 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': '0.0021958650982249157040411290957', 'prec': 110}, 'conductor': 159600, 'gens': [[89126202, 541085334650, 109]], 'heights': [{'__RealLiteral__': 0, 'data': '13.852490211795716363787014923', 'prec': 100}], 'lmfdb_label': '159600.bi1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.033381959969812132759567421441', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5490792847885479563704326739393342168', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 159600.bi1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7141157
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '159600.bi1', 'torsion': [3]}
  • id: 7141158
    {'degree': 3, 'field': [7, 17, -1, 1], 'lmfdb_label': '159600.bi1', 'torsion': [2]}
  • id: 7141160
    {'degree': 6, 'field': [-4563, 0, -233, 0, -1, 0, 1], 'lmfdb_label': '159600.bi1', 'torsion': [3]}
  • id: 7141161
    {'degree': 6, 'field': [72, -108, 81, -6, 2, -2, 1], 'lmfdb_label': '159600.bi1', 'torsion': [6]}
  • id: 7141159
    {'degree': 6, 'field': [2052, 0, -108, 0, 9, 0, 1], 'lmfdb_label': '159600.bi1', 'torsion': [2, 2]}
  • id: 7141162
    {'degree': 12, 'field': [-24957, 71601, -51342, 69227, 23864, -489, 1794, -479, 336, -79, 4, -3, 1], 'lmfdb_label': '159600.bi1', 'torsion': [4]}
  • id: 7141164
    {'degree': 12, 'field': [4096, 0, 8448, 0, 4416, 0, 3332, 0, 276, 0, 33, 0, 1], 'lmfdb_label': '159600.bi1', 'torsion': [2, 6]}
  • id: 7141163
    {'degree': 12, 'field': [10556001, 0, -2089107, 0, 260746, 0, -23723, 0, 1566, 0, -47, 0, 1], 'lmfdb_label': '159600.bi1', 'torsion': [3, 3]}
  • id: 7141166
    {'degree': 18, 'field': [9590776, -14067048, -308356, 2539456, 9348690, 50102, -577741, -108972, 83327, 39520, -19816, -4872, 731, -316, 120, -104, 17, -6, 1], 'lmfdb_label': '159600.bi1', 'torsion': [6]}
  • id: 7141165
    {'degree': 18, 'field': [1186429472, 1841313600, 1428840000, 511896688, 122888424, 74454456, 77986276, 31365384, 4343472, -1951956, -468912, -97344, -886, -5508, 5688, 370, 18, -6, 1], 'lmfdb_label': '159600.bi1', '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: 3948217
    {'conductor': 159600, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '159600.bi1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3948218
    {'conductor': 159600, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '159600.bi1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3948219
    {'conductor': 159600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '159600.bi1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3948220
    {'conductor': 159600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '159600.bi1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3948221
    {'conductor': 159600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '159600.bi1', 'prime': 19, 'reduction_type': -1, '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: 2696251
    {'adelic_gens': [[4, 3, 9, 7], [1, 6, 0, 1], [1, 0, 6, 1], [210, 25, 79, 114], [223, 6, 222, 7], [225, 226, 218, 221], [3, 4, 8, 11], [97, 6, 63, 19], [113, 222, 111, 209]], 'adelic_image': '228.16.0.?', 'conductor': 159600, 'lmfdb_label': '159600.bi1', 'prime': 0}
  • id: 608163
    {'conductor': 159600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '159600.bi1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 159600.bi does not appear in ec_padic