Elliptic curve data - 1850.b1

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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': '1850b', 'Clabel': '1850b1', 'Cnumber': 1, 'abc_quality': 1.2911852561735329, 'absD': 59200, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 148, 'ainvs': [1, 0, 1, -1, -12], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1850, 'degree': 216, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.40533915334449168850171683678', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-625, 2368], 'lmfdb_iso': '1850.b', 'lmfdb_label': '1850.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, -12], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['148.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.50763927369342373945226596280', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67357880541684175093517672565', 'prec': 107}, 'szpiro_ratio': 2.4516408808816683, '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, 0, 2, 0, -1, 1, 0, 4, -2, 2, 0, 0, 1, -8, -1, -5, 0], 'aplist': [-1, -2, 0, 0, 4, 2, -8, -5, -1, 10, -4, -1, 7, 9, -6, 3, -11, 2, -2, 14, -3, -11, -8, -2, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 1850, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1850.b', 'trace_hash': 1287249786074983477}
• 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': '2.2494332749481898033914898935', 'prec': 100}, 'conductor': 1850, 'gens': [[3, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.50763927369342373945226596280', 'prec': 103}], 'lmfdb_label': '1850.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5950487787824226496274407037', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6194188071333830956553707450092668698', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [3, 6]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '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': '1850.b1'}
• ec_torsion_growth •

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

  
  
  • id: 93897
    {'degree': 3, 'field': [-20, 10, 0, 1], 'lmfdb_label': '1850.b1', 'torsion': [2]}
  • id: 93898
    {'degree': 6, 'field': [37, 0, 7, 0, 19, 0, 1], 'lmfdb_label': '1850.b1', 'torsion': [2, 2]}
  • id: 93899
    {'degree': 8, 'field': [-24, -96, 72, 47, -20, -7, 7, -4, 1], 'lmfdb_label': '1850.b1', 'torsion': [3]}
  • id: 93900
    {'degree': 12, 'field': [-1024, -5204, -16796, -32125, -37625, -22224, -3204, 2679, 1025, -50, -56, -1, 1], 'lmfdb_label': '1850.b1', 'torsion': [4]}
• 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: 29907
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1850.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 29908
    {'conductor': 1850, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1850.b1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 29909
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1850.b1', 'prime': 37, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [113, 2, 113, 3], [1, 0, 2, 1], [75, 2, 75, 3], [147, 2, 146, 3], [1, 1, 147, 0]], 'adelic_image': '148.2.0.?', 'conductor': 1850, 'lmfdb_label': '1850.b1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 52448
    {'lmfdb_iso': '1850.b', 'p': 11, 'prec': 20, 'unit': 23854033653244401315, 'val': 1}
  • id: 52453
    {'lmfdb_iso': '1850.b', 'p': 13, 'prec': 20, 'unit': 896442061253316059296, 'val': 1}
  • id: 52455
    {'lmfdb_iso': '1850.b', 'p': 17, 'prec': 20, 'unit': 183368890249326667445285, 'val': 1}
  • id: 52456
    {'lmfdb_iso': '1850.b', 'p': 19, 'prec': 20, 'unit': 1443691219071286236564379, 'val': 1}
  • id: 52460
    {'lmfdb_iso': '1850.b', 'p': 23, 'prec': 20, 'unit': 35766303263751463159470444, 'val': 1}
  • id: 52452
    {'lmfdb_iso': '1850.b', 'p': 29, 'prec': 20, 'unit': 3277255088395693461744927374, 'val': 1}
  • id: 52465
    {'lmfdb_iso': '1850.b', 'p': 31, 'prec': 20, 'unit': 5811908591502958400838442202, 'val': 1}
  • id: 52450
    {'lmfdb_iso': '1850.b', 'p': 41, 'prec': 20, 'unit': 5315748451263401401803304537, 'val': 1}
  • id: 52451
    {'lmfdb_iso': '1850.b', 'p': 43, 'prec': 20, 'unit': 7276936459594336272040286631959, 'val': 1}
  • id: 52462
    {'lmfdb_iso': '1850.b', 'p': 47, 'prec': 20, 'unit': 4529906446166968886628516683866, 'val': 1}
  • id: 52457
    {'lmfdb_iso': '1850.b', 'p': 53, 'prec': 20, 'unit': 495728847589401476337147234093768, 'val': 1}
  • id: 52458
    {'lmfdb_iso': '1850.b', 'p': 59, 'prec': 20, 'unit': 3274068368856683613322254328958159, 'val': 1}
  • id: 52463
    {'lmfdb_iso': '1850.b', 'p': 61, 'prec': 20, 'unit': 1164756821616001614316089986200061, 'val': 1}
  • id: 52447
    {'lmfdb_iso': '1850.b', 'p': 67, 'prec': 20, 'unit': 12682693423855845404117358901140379, 'val': 1}
  • id: 52449
    {'lmfdb_iso': '1850.b', 'p': 71, 'prec': 20, 'unit': 23513940796079453717489473177051279, 'val': 1}
  • id: 52459
    {'lmfdb_iso': '1850.b', 'p': 73, 'prec': 20, 'unit': 1419131548834136188163134850912788, 'val': 2}
  • id: 52454
    {'lmfdb_iso': '1850.b', 'p': 79, 'prec': 20, 'unit': 30597785017963356163885537270711853, 'val': 1}
  • id: 52464
    {'lmfdb_iso': '1850.b', 'p': 83, 'prec': 20, 'unit': 662807553896116071185176856865240090, 'val': 1}
  • id: 52461
    {'lmfdb_iso': '1850.b', 'p': 89, 'prec': 20, 'unit': 10340989388617495439661910604708878549, 'val': 1}
  • id: 52446
    {'lmfdb_iso': '1850.b', 'p': 97, 'prec': 20, 'unit': 17131363338809170519409777667154187899, 'val': 1}