Elliptic curve data - 26928.bh2

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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': '26928m', 'Clabel': '26928m2', 'Cnumber': 2, 'abc_quality': 0.9224403235703046, 'absD': 202336869639168, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2244, 'ainvs': [0, 0, 0, -8715, 752618], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 26928, 'degree': 61440, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4323546705531064670625503732', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2], 'jinv': [-98061470500, 271048833], 'lmfdb_iso': '26928.bh', 'lmfdb_label': '26928.bh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -968, 27552], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '68.6.0.a.1', '132.6.0.?', '2244.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2643395624582166816951048577', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30542587575243053018390098686', 'prec': 103}, 'szpiro_ratio': 3.9786376190295654, '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, 0, 0, 0, 0, 4, 0, 0, 0, -1, 0, 2, 0, 0, 0, 1, 0, 2, 0], 'aplist': [0, 0, 0, 4, -1, 2, 1, 2, -4, -6, 0, 6, -2, -10, 2, -10, 2, 12, -4, -8, 4, 0, 0, 2, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 26928, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '26928.bh', 'trace_hash': 920542741159296577}
• 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': '0.056999696193167955733677034228', 'prec': 107}, 'conductor': 26928, 'gens': [[22, 756, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2643395624582166816951048577', 'prec': 100}], 'lmfdb_label': '26928.bh2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49744160057767966365105126315', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4952731871130312790911445293561011500', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-122, 0, 1]], 'xcoord_integral_points': [-122, 22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '26928.bh2'}
• ec_torsion_growth •

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

  
  
  • id: 1348892
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '26928.bh2', 'torsion': [2, 2]}
  • id: 1348893
    {'degree': 4, 'field': [-17, 0, 8, 0, 1], 'lmfdb_label': '26928.bh2', 'torsion': [4]}
  • id: 1348896
    {'degree': 8, 'field': [-1323, 0, -948, 0, -126, 0, 0, 0, 1], 'lmfdb_label': '26928.bh2', 'torsion': [6]}
  • id: 1348895
    {'degree': 8, 'field': [2293, -6760, 7255, -3340, 552, -2, 7, -2, 1], 'lmfdb_label': '26928.bh2', 'torsion': [2, 4]}
  • id: 1348894
    {'degree': 8, 'field': [5184, 0, 1056, 0, -44, 0, -8, 0, 1], 'lmfdb_label': '26928.bh2', 'torsion': [2, 4]}
  • id: 1348898
    {'degree': 16, 'field': [5880625, 0, 7935600, 0, 4001704, 0, 957388, 0, 117138, 0, 9340, 0, 832, 0, 48, 0, 1], 'lmfdb_label': '26928.bh2', 'torsion': [2, 6]}
  • id: 1348897
    {'degree': 16, 'field': [29667995536, 0, 4340419328, 0, -379013096, 0, -99147808, 0, -6597479, 0, -210664, 0, -4334, 0, -40, 0, 1], 'lmfdb_label': '26928.bh2', 'torsion': [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: 620444
    {'conductor': 26928, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '26928.bh2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 620445
    {'conductor': 26928, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '26928.bh2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 620446
    {'conductor': 26928, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '26928.bh2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 620447
    {'conductor': 26928, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '26928.bh2', 'prime': 17, '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: 1843518
    {'adelic_gens': [[409, 4, 818, 9], [1, 2, 2, 5], [1, 4, 0, 1], [749, 4, 1498, 9], [2114, 1, 1187, 0], [1, 0, 4, 1], [2241, 4, 2240, 5], [3, 4, 8, 11], [1684, 565, 561, 1684]], 'adelic_image': '2244.12.0.?', 'conductor': 26928, 'lmfdb_label': '26928.bh2', 'prime': 0}
  • id: 121886
    {'conductor': 26928, 'elladic_image': '2.3.0.1', 'lmfdb_label': '26928.bh2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1286480
    {'lmfdb_iso': '26928.bh', 'p': 7, 'prec': 20, 'unit': 10459425245520283, 'val': 1}
  • id: 1286484
    {'lmfdb_iso': '26928.bh', 'p': 13, 'prec': 20, 'unit': 956345795612330429, 'val': 3}
  • id: 1286486
    {'lmfdb_iso': '26928.bh', 'p': 19, 'prec': 20, 'unit': 1131570487822819466592855, 'val': 1}
  • id: 1286489
    {'lmfdb_iso': '26928.bh', 'p': 23, 'prec': 20, 'unit': 63521604449359204750693912, 'val': 1}
  • id: 1286483
    {'lmfdb_iso': '26928.bh', 'p': 29, 'prec': 20, 'unit': 5061655889533146087063575930, 'val': 1}
  • id: 1286479
    {'lmfdb_iso': '26928.bh', 'p': 37, 'prec': 20, 'unit': 550530051373838022908642233052, 'val': 1}
  • id: 1286481
    {'lmfdb_iso': '26928.bh', 'p': 41, 'prec': 20, 'unit': 1615726736260007747727832761832, 'val': 1}
  • id: 1286482
    {'lmfdb_iso': '26928.bh', 'p': 43, 'prec': 20, 'unit': 6298707270113696999297617253775, 'val': 1}
  • id: 1286485
    {'lmfdb_iso': '26928.bh', 'p': 47, 'prec': 20, 'unit': 19549246047321246134926566381916, 'val': 1}
  • id: 1286487
    {'lmfdb_iso': '26928.bh', 'p': 53, 'prec': 20, 'unit': 573142182737671670900732606761776, 'val': 1}
  • id: 1286492
    {'lmfdb_iso': '26928.bh', 'p': 59, 'prec': 20, 'unit': 1409694635468264540715951305996920, 'val': 1}
  • id: 1286493
    {'lmfdb_iso': '26928.bh', 'p': 61, 'prec': 20, 'unit': 8130958959281028273181471062650503, 'val': 1}
  • id: 1286478
    {'lmfdb_iso': '26928.bh', 'p': 67, 'prec': 20, 'unit': 20781050683897885928354642208554828, 'val': 1}
  • id: 1286491
    {'lmfdb_iso': '26928.bh', 'p': 71, 'prec': 20, 'unit': 126377673048750186420852062179482678, 'val': 1}
  • id: 1286488
    {'lmfdb_iso': '26928.bh', 'p': 73, 'prec': 20, 'unit': 1201000494588756468248580081414815, 'val': 2}
  • id: 1286490
    {'lmfdb_iso': '26928.bh', 'p': 89, 'prec': 20, 'unit': 9821151854512661743644809921052235301, 'val': 1}
  • id: 1286477
    {'lmfdb_iso': '26928.bh', 'p': 97, 'prec': 20, 'unit': 27144943319579183148269697232033741494, 'val': 1}