Elliptic curve data - 66654.bl1

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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': '66654by', 'Clabel': '66654by2', 'Cnumber': 2, 'abc_quality': 0.9797147588676234, 'absD': 61309904070748006777824, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1288, 'ainvs': [1, -1, 1, -15932786, 21388050321], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 66654, 'degree': 8110080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0993892688086353709558673020', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2], 'jinv': [4144806984356137, 568114785504], 'lmfdb_iso': '66654.bl', 'lmfdb_label': '66654.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3346, 63700], 'min_quad_twist_disc': 69, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '184.6.0.?', '1288.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.69571501324944895814055977695', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98233601651000567985486826763', 'prec': 103}, 'szpiro_ratio': 5.524784197399467, '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, 1, 0, 1, -2, 0, 1, 1, 0, -2, 0, 0, 4, 1, 0, 1, 0, 0, -6, -2], 'aplist': [1, 0, -2, 1, 0, 4, 0, -6, 0, 6, -10, 6, 2, -12, -10, -10, 12, 14, 12, 12, 14, 0, 2, -12, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 66654, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '66654.bl', 'trace_hash': 2115532134584508487}
• 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': '0.0020319110240180878869235108439', 'prec': 110}, 'conductor': 66654, 'gens': [[1317, 51183, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.69571501324944895814055977695', 'prec': 103}], 'lmfdb_label': '66654.bl1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10658806011870247596177356185', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.8985896389259386184453396779112292274', 'prec': 130}, 'tamagawa_product': 480, 'torsion_generators': [[6395, -6399, 2]], 'xcoord_integral_points': [323, 1317, 8079, 30941]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [1, 0], '7': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '66654.bl1'}
• ec_torsion_growth •

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

  
  
  • id: 3177356
    {'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '66654.bl1', 'torsion': [2, 2]}
  • id: 3177357
    {'degree': 4, 'field': [414, 0, -9, 0, 1], 'lmfdb_label': '66654.bl1', 'torsion': [4]}
  • id: 3177360
    {'degree': 8, 'field': [-866, 1436, -1358, -157, 82, -7, 7, -4, 1], 'lmfdb_label': '66654.bl1', 'torsion': [6]}
  • id: 3177359
    {'degree': 8, 'field': [279841, 0, -23322, 0, 2210, 0, 102, 0, 1], 'lmfdb_label': '66654.bl1', 'torsion': [2, 4]}
  • id: 3177358
    {'degree': 8, 'field': [2896804, 0, -465520, 0, 13524, 0, -184, 0, 1], 'lmfdb_label': '66654.bl1', 'torsion': [2, 4]}
  • id: 3177362
    {'degree': 16, 'field': [69696, 0, 265248, 0, 227808, 0, -149136, 0, 21636, 0, -2742, 0, 268, 0, -18, 0, 1], 'lmfdb_label': '66654.bl1', 'torsion': [2, 6]}
  • id: 3177361
    {'degree': 16, 'field': [1420107508, -468697352, 497558200, 107822596, 26742701, 36558616, 9466230, 2101156, 2266727, -242584, 237444, -24196, 7727, -280, 118, -4, 1], 'lmfdb_label': '66654.bl1', '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: 1611247
    {'conductor': 66654, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '66654.bl1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 1611248
    {'conductor': 66654, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '66654.bl1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1611249
    {'conductor': 66654, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '66654.bl1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1611250
    {'conductor': 66654, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '66654.bl1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2105137
    {'adelic_gens': [[562, 1, 1007, 0], [1, 2, 2, 5], [2, 1, 643, 0], [1, 4, 0, 1], [1285, 4, 1284, 5], [1, 0, 4, 1], [185, 4, 370, 9], [3, 4, 8, 11], [484, 809, 161, 1128]], 'adelic_image': '1288.12.0.?', 'conductor': 66654, 'lmfdb_label': '66654.bl1', 'prime': 0}
  • id: 278751
    {'conductor': 66654, 'elladic_image': '2.3.0.1', 'lmfdb_label': '66654.bl1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3404863
    {'lmfdb_iso': '66654.bl', 'p': 5, 'prec': 20, 'unit': 21827605118956, 'val': 0}
  • id: 3404855
    {'lmfdb_iso': '66654.bl', 'p': 13, 'prec': 20, 'unit': 1435796244242134207196, 'val': 1}
  • id: 3404857
    {'lmfdb_iso': '66654.bl', 'p': 19, 'prec': 20, 'unit': 94433979757589672206823, 'val': 1}
  • id: 3404854
    {'lmfdb_iso': '66654.bl', 'p': 29, 'prec': 20, 'unit': 2194741728562333688026578831, 'val': 1}
  • id: 3404851
    {'lmfdb_iso': '66654.bl', 'p': 31, 'prec': 20, 'unit': 2750414473034686754455706165, 'val': 1}
  • id: 3404849
    {'lmfdb_iso': '66654.bl', 'p': 37, 'prec': 20, 'unit': 24226894985185381335586008535, 'val': 1}
  • id: 3404852
    {'lmfdb_iso': '66654.bl', 'p': 41, 'prec': 20, 'unit': 3744071104727408878086781093074, 'val': 1}
  • id: 3404853
    {'lmfdb_iso': '66654.bl', 'p': 43, 'prec': 20, 'unit': 8509140318909279207182807765147, 'val': 1}
  • id: 3404856
    {'lmfdb_iso': '66654.bl', 'p': 47, 'prec': 20, 'unit': 11043714584737428121522557588647, 'val': 1}
  • id: 3404858
    {'lmfdb_iso': '66654.bl', 'p': 53, 'prec': 20, 'unit': 172109136257871581245194624082156, 'val': 1}
  • id: 3404861
    {'lmfdb_iso': '66654.bl', 'p': 59, 'prec': 20, 'unit': 360411628314456144956441391325314, 'val': 1}
  • id: 3404862
    {'lmfdb_iso': '66654.bl', 'p': 61, 'prec': 20, 'unit': 3089733625344193095055659736877274, 'val': 1}
  • id: 3404848
    {'lmfdb_iso': '66654.bl', 'p': 67, 'prec': 20, 'unit': 27508079936916777663894546038338681, 'val': 1}
  • id: 3404850
    {'lmfdb_iso': '66654.bl', 'p': 71, 'prec': 20, 'unit': 136911671355986464844623769517955001, 'val': 1}
  • id: 3404859
    {'lmfdb_iso': '66654.bl', 'p': 73, 'prec': 20, 'unit': 171666758873928401488170492841714287, 'val': 1}
  • id: 3404847
    {'lmfdb_iso': '66654.bl', 'p': 83, 'prec': 20, 'unit': 2058883257727614674330560884284251912, 'val': 1}
  • id: 3404860
    {'lmfdb_iso': '66654.bl', 'p': 89, 'prec': 20, 'unit': 3673037973113595624832603393868368456, 'val': 1}
  • id: 3404846
    {'lmfdb_iso': '66654.bl', 'p': 97, 'prec': 20, 'unit': 29572073312138913746577932521183702302, 'val': 1}