Elliptic curve data - 39710.bc4

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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': '39710s', 'Clabel': '39710s1', 'Cnumber': 1, 'abc_quality': 0.9151351437688273, 'absD': 1419825870227600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 12540, 'ainvs': [1, 1, 1, -569846, -165798557], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 39710, 'degree': 483840, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9609547921042937084176820907', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [434985385981609, 30179600], 'lmfdb_iso': '39710.bc', 'lmfdb_label': '39710.bc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1579, 24006], 'min_quad_twist_disc': -19, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.c.1', '57.8.0-3.a.1.1', '60.24.0.q.1', '66.24.0-6.a.1.3', '114.24.0.?', '418.6.0.?', '660.48.0.?', '1140.48.0.?', '1254.48.0.?', '4180.12.0.?', '12540.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.0743328560169917406377999253', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3971], [5, 6, 7942], [11, 12, 3610], [19, 200, 110]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48873530252107347841316837476', 'prec': 103}, 'szpiro_ratio': 4.851376811847612, '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, 2, 1, -1, 2, 2, 1, 1, -1, -1, 2, -2, 2, -2, 1, 0, 1, 0, -1], 'aplist': [1, 2, -1, 2, -1, -2, 0, 0, 0, 6, 4, -8, -6, 2, -12, 12, -12, -10, -14, 0, 8, 16, 6, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 39710, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '39710.bc', 'trace_hash': 523250909320420228}
• 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': '0.019803242655543233637083768350', 'prec': 107}, 'conductor': 39710, 'gens': [[3944119, 3832969573, 63]], 'heights': [{'__RealLiteral__': 0, 'data': '9.0743328560169917406377999253', 'prec': 100}], 'lmfdb_label': '39710.bc4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17376487115152764476738650348', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.614402236094931433020474447472854390', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-439, 219, 1]], 'xcoord_integral_points': [-439]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': 'a', '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '39710.bc4'}
• ec_torsion_growth •

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

  
  
  • id: 1956666
    {'degree': 2, 'field': [-52, -1, 1], 'lmfdb_label': '39710.bc4', 'torsion': [2, 2]}
  • id: 1956667
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '39710.bc4', 'torsion': [6]}
  • id: 1956669
    {'degree': 4, 'field': [4, 0, 15, 0, 1], 'lmfdb_label': '39710.bc4', 'torsion': [2, 6]}
  • id: 1956668
    {'degree': 4, 'field': [16, -4, 7, -1, 1], 'lmfdb_label': '39710.bc4', 'torsion': [4]}
  • id: 1956670
    {'degree': 6, 'field': [-30258, -11664, 2028, -159, 31, -1, 1], 'lmfdb_label': '39710.bc4', 'torsion': [6]}
  • id: 1956671
    {'degree': 8, 'field': [-4912, -25712, -5704, 2604, 1249, -62, -62, -2, 1], 'lmfdb_label': '39710.bc4', 'torsion': [2, 4]}
  • id: 1956673
    {'degree': 8, 'field': [44, -124, 125, -45, 31, -22, 7, -1, 1], 'lmfdb_label': '39710.bc4', 'torsion': [12]}
  • id: 1956672
    {'degree': 8, 'field': [400, 0, -565, 0, 184, 0, 24, 0, 1], 'lmfdb_label': '39710.bc4', 'torsion': [2, 4]}
  • id: 1956675
    {'degree': 12, 'field': [1299600, 0, -5814000, 0, 804400, 0, -68593, 0, 3147, 0, -91, 0, 1], 'lmfdb_label': '39710.bc4', 'torsion': [2, 6]}
  • id: 1956674
    {'degree': 12, 'field': [143472484, 0, 3810044, 0, -1468224, 0, 31459, 0, -21, 0, 29, 0, 1], 'lmfdb_label': '39710.bc4', 'torsion': [3, 6]}
  • id: 1956678
    {'degree': 16, 'field': [160000, 0, -40000, 0, -11200, 0, -2900, 0, 3221, 0, -145, 0, -28, 0, -5, 0, 1], 'lmfdb_label': '39710.bc4', 'torsion': [2, 12]}
  • id: 1956677
    {'degree': 16, 'field': [444889, 0, 1592, 0, -73054, 0, 7992, 0, 4531, 0, -872, 0, -86, 0, 32, 0, 1], 'lmfdb_label': '39710.bc4', 'torsion': [2, 12]}
  • id: 1956676
    {'degree': 16, 'field': [3776289631, 1689302680, 543415250, 538823748, 222502222, 30239240, -5423646, -4983608, -943161, 56512, 30474, 8456, 184, -384, 16, -4, 1], 'lmfdb_label': '39710.bc4', 'torsion': [8]}
  • id: 1956679
    {'degree': 18, 'field': [67856, 122032, 4575992, -6107140, 10050400, -8574368, 6276343, -718709, -319737, -422205, 729905, -368693, 82532, -4162, -2315, 562, -29, -6, 1], 'lmfdb_label': '39710.bc4', 'torsion': [18]}
• 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: 939447
    {'conductor': 39710, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '39710.bc4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 939448
    {'conductor': 39710, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '39710.bc4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 939449
    {'conductor': 39710, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '39710.bc4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 939450
    {'conductor': 39710, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '39710.bc4', 'prime': 19, '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: 1929001
    {'adelic_gens': [[3430, 3, 4533, 12532], [8369, 2, 8418, 13], [5235, 1048, 5198, 1037], [1310, 12537, 3987, 8], [1, 0, 12, 1], [12529, 12, 12528, 13], [1, 6, 6, 37], [11, 2, 12490, 12531], [1, 12, 0, 1], [5017, 12, 5022, 73]], 'adelic_image': '12540.96.1.?', 'conductor': 39710, 'lmfdb_label': '39710.bc4', 'prime': 0}
  • id: 174470
    {'conductor': 39710, 'elladic_image': '2.3.0.1', 'lmfdb_label': '39710.bc4', 'modell_image': '2B', 'prime': 2}
  • id: 174471
    {'conductor': 39710, 'elladic_image': '3.4.0.1', 'lmfdb_label': '39710.bc4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1964402
    {'lmfdb_iso': '39710.bc', 'p': 7, 'prec': 20, 'unit': 8209560996489348, 'val': 1}
  • id: 1964406
    {'lmfdb_iso': '39710.bc', 'p': 13, 'prec': 20, 'unit': 858638738924727761798, 'val': 1}
  • id: 1964405
    {'lmfdb_iso': '39710.bc', 'p': 29, 'prec': 20, 'unit': 497596866780474632254674428, 'val': 1}
  • id: 1964415
    {'lmfdb_iso': '39710.bc', 'p': 31, 'prec': 20, 'unit': 1345458665815226809460603078, 'val': 1}
  • id: 1964401
    {'lmfdb_iso': '39710.bc', 'p': 37, 'prec': 20, 'unit': 20311281814708165510746359573, 'val': 1}
  • id: 1964403
    {'lmfdb_iso': '39710.bc', 'p': 41, 'prec': 20, 'unit': 2265812363061367042731431251231, 'val': 1}
  • id: 1964404
    {'lmfdb_iso': '39710.bc', 'p': 43, 'prec': 20, 'unit': 951173430227109057987570111447, 'val': 1}
  • id: 1964413
    {'lmfdb_iso': '39710.bc', 'p': 47, 'prec': 20, 'unit': 49542330795824939023612193616990, 'val': 1}
  • id: 1964410
    {'lmfdb_iso': '39710.bc', 'p': 53, 'prec': 20, 'unit': 268680139253272819951753938007681, 'val': 1}
  • id: 1964408
    {'lmfdb_iso': '39710.bc', 'p': 59, 'prec': 20, 'unit': 3376905257959734567676867412095880, 'val': 1}
  • id: 1964414
    {'lmfdb_iso': '39710.bc', 'p': 61, 'prec': 20, 'unit': 3294938915920901814225373787881657, 'val': 1}
  • id: 1964400
    {'lmfdb_iso': '39710.bc', 'p': 67, 'prec': 20, 'unit': 20113731534706913669974539440941633, 'val': 1}
  • id: 1964411
    {'lmfdb_iso': '39710.bc', 'p': 73, 'prec': 20, 'unit': 213064950699071758548537564191824613, 'val': 1}
  • id: 1964407
    {'lmfdb_iso': '39710.bc', 'p': 79, 'prec': 20, 'unit': 780506938492118669500840770110900372, 'val': 1}
  • id: 1964409
    {'lmfdb_iso': '39710.bc', 'p': 83, 'prec': 20, 'unit': 1675075563643364985650560530543271817, 'val': 1}
  • id: 1964412
    {'lmfdb_iso': '39710.bc', 'p': 89, 'prec': 20, 'unit': 5281159398307300281510720025449019713, 'val': 1}
  • id: 1964399
    {'lmfdb_iso': '39710.bc', 'p': 97, 'prec': 20, 'unit': 38679992981606779524882244623534574180, 'val': 1}