Elliptic curve data - 40898.bh1

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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': '40898bv', 'Clabel': '40898bv2', 'Cnumber': 2, 'abc_quality': 0.9867498813029864, 'absD': 4238005764262825984, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 312, 'ainvs': [1, 0, 0, -1063774, -433849404], 'analytic_rank': 1, 'bad_primes': [2, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 40898, 'degree': 1083456, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3502141619745928704678374209', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 33, 'isogeny_degrees': [1, 3], 'jinv': [-128667913, 4096], 'lmfdb_iso': '40898.bh', 'lmfdb_label': '40898.bh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -52, 144], 'min_quad_twist_disc': -143, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.8.0.a.1', '24.16.0.b.2', '39.8.0-3.a.1.2', '104.4.0.?', '156.16.0.?', '312.32.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7493330243293455840136096717', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53085736528842252693353535186', 'prec': 107}, 'szpiro_ratio': 5.01930255799066, '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, 1, -2, 1, 3, -2, -2, 1, 1, 3, 0, -2, 0, -2, -6, 1, 3, 1, -2, 3], 'aplist': [1, -2, 3, -2, 0, 0, 3, -2, 6, -3, -2, 7, -3, 8, -6, -3, 0, -10, 10, -12, -14, 2, -18, 9, -11], 'class_deg': 3, 'class_size': 2, 'conductor': 40898, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '40898.bh', 'trace_hash': 418085530249370956}
• 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': '0.0090913822108857336558858623335', 'prec': 110}, 'conductor': 40898, 'gens': [[1220, 8586, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7493330243293455840136096717', 'prec': 100}], 'lmfdb_label': '40898.bh1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.074189752756103761235761897258', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3430041434906656082735192569960632740', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [1220]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [5, 1], '5': [3, 0], '7': [1, 0], '11': 'a', '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '40898.bh1'}
• ec_torsion_growth •

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

  
  
  • id: 2011577
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '40898.bh1', 'torsion': [3]}
  • id: 2011578
    {'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '40898.bh1', 'torsion': [2]}
  • id: 2011579
    {'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '40898.bh1', 'torsion': [2, 2]}
  • id: 2011580
    {'degree': 6, 'field': [204, -258, 51, -5, -6, -3, 1], 'lmfdb_label': '40898.bh1', 'torsion': [3]}
  • id: 2011581
    {'degree': 6, 'field': [352, 66, 308, -31, 37, -1, 1], 'lmfdb_label': '40898.bh1', 'torsion': [6]}
  • id: 2011582
    {'degree': 12, 'field': [-147748, -134221, -156951, -72145, -41719, -7414, -946, 946, 58, 35, -23, -1, 1], 'lmfdb_label': '40898.bh1', 'torsion': [4]}
  • id: 2011583
    {'degree': 12, 'field': [41616, -52632, 56160, -11118, 2535, -3963, -35, 78, -30, 28, 15, -3, 1], 'lmfdb_label': '40898.bh1', 'torsion': [3, 3]}
  • id: 2011584
    {'degree': 12, 'field': [123904, 0, -212476, 0, 125004, 0, -22667, 0, 1923, 0, -73, 0, 1], 'lmfdb_label': '40898.bh1', 'torsion': [2, 6]}
  • id: 2011586
    {'degree': 18, 'field': [66512, -78720, -90084, -162720, 333165, 9375, -172859, -2304, 73476, -10992, -18366, 5154, 2690, -1080, -216, 120, 9, -9, 1], 'lmfdb_label': '40898.bh1', 'torsion': [6]}
  • id: 2011585
    {'degree': 18, 'field': [62235664, -294412944, 1279767840, -1338964972, 1109316336, -633118884, 320854892, -116569902, 41949054, -11088067, 3243687, -702246, 177458, -31764, 6600, -844, 132, -9, 1], 'lmfdb_label': '40898.bh1', '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: 969419
    {'conductor': 40898, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '40898.bh1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 969420
    {'conductor': 40898, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '40898.bh1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 969421
    {'conductor': 40898, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '40898.bh1', 'prime': 13, 'reduction_type': 0, '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: 1937020
    {'adelic_gens': [[209, 156, 52, 1], [157, 273, 39, 196], [235, 156, 273, 1], [1, 0, 12, 1], [301, 12, 300, 13], [4, 9, 3, 7], [1, 12, 0, 1], [207, 91, 65, 116], [5, 2, 274, 297], [167, 0, 0, 311]], 'adelic_image': '312.32.0.?', 'conductor': 40898, 'lmfdb_label': '40898.bh1', 'prime': 0}
  • id: 179182
    {'conductor': 40898, 'elladic_image': '4.2.0.1', 'lmfdb_label': '40898.bh1', 'modell_image': '2G', 'prime': 2}
  • id: 179183
    {'conductor': 40898, 'elladic_image': '3.4.0.1', 'lmfdb_label': '40898.bh1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2030176
    {'lmfdb_iso': '40898.bh', 'p': 5, 'prec': 20, 'unit': 1229915416934, 'val': 2}
  • id: 2030177
    {'lmfdb_iso': '40898.bh', 'p': 7, 'prec': 20, 'unit': 8763657108739887, 'val': 1}
  • id: 2030183
    {'lmfdb_iso': '40898.bh', 'p': 17, 'prec': 20, 'unit': 237504440321653026648269, 'val': 1}
  • id: 2030173
    {'lmfdb_iso': '40898.bh', 'p': 19, 'prec': 20, 'unit': 93045883012844967793421, 'val': 1}
  • id: 2030187
    {'lmfdb_iso': '40898.bh', 'p': 23, 'prec': 20, 'unit': 46598025336741091522741472, 'val': 1}
  • id: 2030181
    {'lmfdb_iso': '40898.bh', 'p': 29, 'prec': 20, 'unit': 4193374130850260597588938743, 'val': 1}
  • id: 2030178
    {'lmfdb_iso': '40898.bh', 'p': 31, 'prec': 20, 'unit': 7543454433676166718414838831, 'val': 1}
  • id: 2030192
    {'lmfdb_iso': '40898.bh', 'p': 37, 'prec': 20, 'unit': 597077336160996618185197000006, 'val': 1}
  • id: 2030179
    {'lmfdb_iso': '40898.bh', 'p': 41, 'prec': 20, 'unit': 714557813444194720503170790254, 'val': 1}
  • id: 2030180
    {'lmfdb_iso': '40898.bh', 'p': 43, 'prec': 20, 'unit': 7063105467500049042510165365291, 'val': 1}
  • id: 2030182
    {'lmfdb_iso': '40898.bh', 'p': 47, 'prec': 20, 'unit': 25312935881936194029221761227180, 'val': 1}
  • id: 2030185
    {'lmfdb_iso': '40898.bh', 'p': 53, 'prec': 20, 'unit': 441245230026128771254546895765709, 'val': 1}
  • id: 2030191
    {'lmfdb_iso': '40898.bh', 'p': 61, 'prec': 20, 'unit': 1200149910298500850792893296364134, 'val': 1}
  • id: 2030175
    {'lmfdb_iso': '40898.bh', 'p': 67, 'prec': 20, 'unit': 38630791830647304219538002996885950, 'val': 1}
  • id: 2030189
    {'lmfdb_iso': '40898.bh', 'p': 71, 'prec': 20, 'unit': 71850370570155537734610512951413068, 'val': 1}
  • id: 2030186
    {'lmfdb_iso': '40898.bh', 'p': 73, 'prec': 20, 'unit': 206763735873037399689308047609655523, 'val': 1}
  • id: 2030190
    {'lmfdb_iso': '40898.bh', 'p': 79, 'prec': 20, 'unit': 740813462730854976153417307751464682, 'val': 1}
  • id: 2030184
    {'lmfdb_iso': '40898.bh', 'p': 83, 'prec': 20, 'unit': 2429537261206016996885550600259833641, 'val': 1}
  • id: 2030188
    {'lmfdb_iso': '40898.bh', 'p': 89, 'prec': 20, 'unit': 6345647657927418931766123197011113363, 'val': 1}
  • id: 2030174
    {'lmfdb_iso': '40898.bh', 'p': 97, 'prec': 20, 'unit': 33008167387231752213064541070127706129, 'val': 1}