Elliptic curve data - 106470.fo1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '106470gb', 'Clabel': '106470gb6', 'Cnumber': 6, 'abc_quality': 0.9896819690631332, 'absD': 15760123423291406250, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [1, -1, 1, -93031997, 345402761019], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 106470, 'degree': 11010048, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0802196697983728598207796450', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 144, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [25306558948218234961, 4478906250], 'lmfdb_iso': '106470.fo', 'lmfdb_label': '106470.fo1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -61165, -5847895], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0-8.n.1.2', '56.24.0-8.n.1.4', '80.24.0.?', '104.24.0.?', '156.12.0.?', '168.48.0.?', '240.48.0.?', '312.48.0.?', '560.48.0.?', '728.48.0.?', '1040.48.0.?', '1680.96.0.?', '2184.96.0.?', '3120.96.0.?', '7280.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0118894582144979818378666320', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 11830], [5, 6, 21294], [7, 8, 15210], [13, 98, 630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2484388467335496460964133058', 'prec': 100}, 'szpiro_ratio': 5.7585661588797175, '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, 1, 0, 1, 1, 0, 1, -4, 0, 0, 1, 0, 1, -2, 0, -4, 1], 'aplist': [1, 0, 1, 1, -4, 0, -2, -4, 0, -6, 8, -6, 10, 4, 0, -6, 4, 6, 4, 0, 6, 0, 12, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 106470, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '106470.fo', 'trace_hash': 735641057354953963}
• 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': '0.0021113254790550403854638613809', 'prec': 110}, 'conductor': 106470, 'gens': [[22383, 5263, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0118894582144979818378666320', 'prec': 100}], 'lmfdb_label': '106470.fo1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17372955461335527372262502864', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.151740299737918840106558514394241843', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[22283, -22287, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': [2, 0], '7': [2, 0], '11': [1, 0], '13': 'a', '17': [3, 0], '19': [1, 0], '23': [1, 3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '106470.fo1'}
• ec_torsion_growth •

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

  
  
  • id: 4918422
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [4]}
  • id: 4918421
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [2, 2]}
  • id: 4918423
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [4]}
  • id: 4918424
    {'degree': 4, 'field': [25, 0, -16, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [2, 4]}
  • id: 4918426
    {'degree': 4, 'field': [169, 0, -65, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [8]}
  • id: 4918425
    {'degree': 4, 'field': [625, 0, -106, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [8]}
  • id: 4918430
    {'degree': 8, 'field': [-27596, 2084, -2654, 1139, -566, -7, 7, -4, 1], 'lmfdb_label': '106470.fo1', 'torsion': [6]}
  • id: 4918429
    {'degree': 8, 'field': [625, 1300, -700, -1148, 445, 152, -46, -4, 1], 'lmfdb_label': '106470.fo1', 'torsion': [2, 8]}
  • id: 4918428
    {'degree': 8, 'field': [19600, 0, 6624, 0, 424, 0, -24, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [8]}
  • id: 4918427
    {'degree': 8, 'field': [25603600, 0, 367776, 0, -9976, 0, 24, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [2, 4]}
  • id: 4918432
    {'degree': 16, 'field': [1500625, 0, 0, 0, 425884, 0, 0, 0, 33558, 0, 0, 0, -68, 0, 0, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [2, 8]}
  • id: 4918437
    {'degree': 16, 'field': [45158400, 0, 26726400, 0, 1868800, 0, -579936, 0, 52512, 0, -2776, 0, -444, 0, -12, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [12]}
  • id: 4918435
    {'degree': 16, 'field': [406425600, 0, -668044800, 0, 179007040, 0, 3440256, 0, 2029200, 0, -258442, 0, 9996, 0, -156, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [2, 6]}
  • id: 4918436
    {'degree': 16, 'field': [5433503040, -4911419520, 4605083280, 622724496, -336857268, 31492692, -11629655, 251992, 805710, -533650, 61289, 24708, -4027, -70, 30, -8, 1], 'lmfdb_label': '106470.fo1', 'torsion': [12]}
  • id: 4918434
    {'degree': 16, 'field': [605165749776, 0, 94685797584, 0, 122954444424, 0, 7227803016, 0, 191270520, 0, 3208716, 0, 38514, 0, 294, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [16]}
  • id: 4918431
    {'degree': 16, 'field': [2560720050625, 0, 0, 0, 10095347084, 0, 0, 0, 8317158, 0, 0, 0, 5132, 0, 0, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [4, 4]}
  • id: 4918433
    {'degree': 16, 'field': [539356235577642756, 0, -51497457579129744, 0, 1518986420992404, 0, -21345995774376, 0, 164154966885, 0, -720248256, 0, 1765764, 0, -2184, 0, 1], 'lmfdb_label': '106470.fo1', 'torsion': [16]}
• 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: 2616895
    {'conductor': 106470, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '106470.fo1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2616896
    {'conductor': 106470, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '106470.fo1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2616897
    {'conductor': 106470, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '106470.fo1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 2616898
    {'conductor': 106470, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '106470.fo1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2616899
    {'conductor': 106470, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '106470.fo1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2362470
    {'adelic_gens': [[8737, 16, 4376, 129], [1, 16, 0, 1], [21825, 16, 21824, 17], [2743, 16, 7934, 5145], [15, 2, 21742, 21827], [1, 0, 16, 1], [7267, 21824, 14816, 315], [5, 4, 21836, 21837], [5468, 5465, 10923, 10922], [20144, 21835, 3405, 14], [3133, 16, 12224, 21525]], 'adelic_image': '21840.192.1.?', 'conductor': 106470, 'lmfdb_label': '106470.fo1', 'prime': 0}
  • id: 424560
    {'conductor': 106470, 'elladic_image': '8.12.0.5', 'lmfdb_label': '106470.fo1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5549294
    {'lmfdb_iso': '106470.fo', 'p': 11, 'prec': 20, 'unit': 2206590235440073894, 'val': 1}
  • id: 5549292
    {'lmfdb_iso': '106470.fo', 'p': 17, 'prec': 20, 'unit': 8589671550105604547581, 'val': 2}
  • id: 5549297
    {'lmfdb_iso': '106470.fo', 'p': 19, 'prec': 20, 'unit': 274135265401129136511866, 'val': 1}
  • id: 5549295
    {'lmfdb_iso': '106470.fo', 'p': 29, 'prec': 20, 'unit': 5134514864064159238632524100, 'val': 1}
  • id: 5549303
    {'lmfdb_iso': '106470.fo', 'p': 31, 'prec': 20, 'unit': 19200034066114955162380619056, 'val': 1}
  • id: 5549291
    {'lmfdb_iso': '106470.fo', 'p': 37, 'prec': 20, 'unit': 55584021073405315178141950817, 'val': 1}
  • id: 5549293
    {'lmfdb_iso': '106470.fo', 'p': 41, 'prec': 20, 'unit': 3469287264471652996590413563828, 'val': 1}
  • id: 5549296
    {'lmfdb_iso': '106470.fo', 'p': 43, 'prec': 20, 'unit': 7845285060655421878456564431618, 'val': 1}
  • id: 5549298
    {'lmfdb_iso': '106470.fo', 'p': 53, 'prec': 20, 'unit': 218509641920106590770995626623347, 'val': 1}
  • id: 5549301
    {'lmfdb_iso': '106470.fo', 'p': 59, 'prec': 20, 'unit': 911471936803796238942095922499739, 'val': 1}
  • id: 5549302
    {'lmfdb_iso': '106470.fo', 'p': 61, 'prec': 20, 'unit': 2059536005884234728016775310509585, 'val': 1}
  • id: 5549290
    {'lmfdb_iso': '106470.fo', 'p': 67, 'prec': 20, 'unit': 38009994272778714785289571972055537, 'val': 1}
  • id: 5549299
    {'lmfdb_iso': '106470.fo', 'p': 73, 'prec': 20, 'unit': 114605263911860415774064849554847432, 'val': 1}
  • id: 5549289
    {'lmfdb_iso': '106470.fo', 'p': 83, 'prec': 20, 'unit': 2155722653978343158274467284187553241, 'val': 1}
  • id: 5549300
    {'lmfdb_iso': '106470.fo', 'p': 89, 'prec': 20, 'unit': 6912463182601018138663232630584600287, 'val': 1}
  • id: 5549288
    {'lmfdb_iso': '106470.fo', 'p': 97, 'prec': 20, 'unit': 1851921668718722698585658618263355301, 'val': 1}