Elliptic curve data - 159600.bn4

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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': '159600ex', 'Clabel': '159600ex1', 'Cnumber': 1, 'abc_quality': 0.9818688900618688, 'absD': 161943889379328000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -18691008, 36642880512], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 159600, 'degree': 15482880, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1736660340615592586393149264', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 4], 'jinv': [-11283450590382195961, 2530373271552000], 'lmfdb_iso': '159600.bn', 'lmfdb_label': '159600.bn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -46727, -4599051], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '120.24.0.?', '190.6.0.?', '380.24.0.?', '456.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5399392488661190684836263073', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6757998972845637619217031383', 'prec': 100}, 'szpiro_ratio': 5.189446153160653, '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, -1, 0, 0, 0, -1, 0, 1, 0, 4, 0, -2, 0, 0, 0, -6, 0, 1, 0], 'aplist': [0, -1, 0, -1, 4, -2, -6, 1, -4, 6, 4, 6, 6, 0, -4, -2, -8, -2, -12, 0, -10, -4, 4, -2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 159600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '159600.bn', 'trace_hash': 664607948183768876}
• 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': '0.0017514135607101579448225906074', 'prec': 110}, 'conductor': 159600, 'gens': [[357, 173250, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.5399392488661190684836263073', 'prec': 100}], 'lmfdb_label': '159600.bn4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.097636730398803012121355298461', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5300495051149201409888573524775300099', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-5088, 0, 1]], 'xcoord_integral_points': [-5088, 357]}
• lmfdb_label 159600.bn4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7141817
    {'degree': 2, 'field': [-95, 0, 1], 'lmfdb_label': '159600.bn4', 'torsion': [4]}
  • id: 7141818
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '159600.bn4', 'torsion': [4]}
  • id: 7141816
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '159600.bn4', 'torsion': [2, 2]}
  • id: 7141819
    {'degree': 4, 'field': [576, 0, -47, 0, 1], 'lmfdb_label': '159600.bn4', 'torsion': [2, 4]}
  • id: 7141820
    {'degree': 4, 'field': [4655, 0, 0, 0, 1], 'lmfdb_label': '159600.bn4', 'torsion': [2, 4]}
  • id: 7141824
    {'degree': 8, 'field': [-3151875, 0, -135500, 0, 6150, 0, 0, 0, 1], 'lmfdb_label': '159600.bn4', 'torsion': [6]}
  • id: 7141822
    {'degree': 8, 'field': [-126, 2124, -1602, -996, 379, 140, -42, -4, 1], 'lmfdb_label': '159600.bn4', 'torsion': [8]}
  • id: 7141821
    {'degree': 8, 'field': [55696, -84016, 63368, -8660, 1001, -310, 2, -2, 1], 'lmfdb_label': '159600.bn4', 'torsion': [4, 4]}
  • id: 7141823
    {'degree': 8, 'field': [6330256, 1288192, 131072, 19120, 8281, 740, 8, -4, 1], 'lmfdb_label': '159600.bn4', 'torsion': [8]}
  • id: 7141830
    {'degree': 16, 'field': [695556, 0, 1942150032, 0, -67569264, 0, 131826373, 0, 13767026, 0, 345373, 0, 7021, 0, 2, 0, 1], 'lmfdb_label': '159600.bn4', 'torsion': [12]}
  • id: 7141825
    {'degree': 16, 'field': [67469796, -4534128, 152352, 8708664, -4124504, -534552, 607272, -361732, 79037, 13508, -8536, 3068, -390, -84, 32, -8, 1], 'lmfdb_label': '159600.bn4', 'torsion': [2, 8]}
  • id: 7141826
    {'degree': 16, 'field': [1774094400, 8915961600, 22404211200, 31808894400, 25111679940, 6532384320, 866914560, 1501320, -17424044, -389768, 560072, 48820, 1681, -1240, 8, -4, 1], 'lmfdb_label': '159600.bn4', 'torsion': [2, 8]}
  • id: 7141828
    {'degree': 16, 'field': [2571173766144, 0, 11196501456, 0, 45023728960, 0, 857800608, 0, 17166045, 0, 361928, 0, 7962, 0, 0, 0, 1], 'lmfdb_label': '159600.bn4', 'torsion': [2, 6]}
  • id: 7141827
    {'degree': 16, 'field': [19337443374096, 0, 178266235968, 0, 238048485768, 0, 2591870256, 0, 99908745, 0, -1145624, 0, 3838, 0, -152, 0, 1], 'lmfdb_label': '159600.bn4', 'torsion': [2, 8]}
  • id: 7141829
    {'degree': 16, 'field': [47403225000000, 0, -1965566250000, 0, 31726687500, 0, -5753984375, 0, 62461250, 0, -1424375, 0, 6325, 0, -190, 0, 1], 'lmfdb_label': '159600.bn4', 'torsion': [12]}
• 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: 3948562
    {'conductor': 159600, 'conductor_valuation': 4, 'discriminant_valuation': 40, 'j_denominator_valuation': 28, 'kodaira_symbol': -36, 'lmfdb_label': '159600.bn4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3948563
    {'conductor': 159600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '159600.bn4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3948564
    {'conductor': 159600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '159600.bn4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3948565
    {'conductor': 159600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '159600.bn4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3948566
    {'conductor': 159600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '159600.bn4', '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: 2696262
    {'adelic_gens': [[1688, 3, 485, 2], [1, 0, 8, 1], [847, 852, 850, 1993], [1, 8, 0, 1], [1, 4, 4, 17], [452, 2279, 889, 2274], [2003, 1998, 290, 1427], [761, 8, 764, 33], [7, 6, 2274, 2275], [2273, 8, 2272, 9]], 'adelic_image': '2280.48.0.?', 'conductor': 159600, 'lmfdb_label': '159600.bn4', 'prime': 0}
  • id: 608172
    {'conductor': 159600, 'elladic_image': '4.12.0.8', 'lmfdb_label': '159600.bn4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 159600.bn does not appear in ec_padic