Elliptic curve data - 76176.be2

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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': '76176bt', 'Clabel': '76176bt1', 'Cnumber': 1, 'abc_quality': 0.9906117492663808, 'absD': 91500788767813632, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [0, 0, 0, -39675, 14868074], 'analytic_rank': 2, 'bad_primes': [2, 3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 76176, 'degree': 540672, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9362332943069332518886006394', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2], 'jinv': [-15625, 207], 'lmfdb_iso': '76176.be', 'lmfdb_label': '76176.be2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, -1], 'min_quad_twist_disc': -276, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '46.6.0.a.1', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 17, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.1308415714286118386044874507', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87396713855164174862963051642', 'prec': 107}, 'szpiro_ratio': 4.141394913359626, '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, 0, 0, 0, 0, 0, -2, 0, 0, 0, -4, 0, -6, 0, 0, 0, 4, 0, 2, 0], 'aplist': [0, 0, 0, -2, -4, -6, 4, 2, 0, -2, -4, -2, -2, 10, 0, -12, -12, 6, -10, 8, -14, 10, -12, -16, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 76176, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '76176.be', 'trace_hash': 2002539895166347911}
• 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': '0.020806983808328187696125266660', 'prec': 107}, 'conductor': 76176, 'gens': [[-115, 4232, 1], [2185, 99981, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '0.73054391924401944775623655870', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.9169286000255745532994191993', 'prec': 100}], 'lmfdb_label': '76176.be2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.28735755259972538759745512535', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.7970147030956612485343872959195173258', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-299, 0, 1]], 'xcoord_integral_points': [-299, -275, -115, 133, 151, 230, 943, 9223, 149485]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 2, 0], '7': [4, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': 'a', '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '76176.be2'}
• ec_torsion_growth •

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

  
  
  • id: 3601945
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '76176.be2', 'torsion': [2, 2]}
  • id: 3601946
    {'degree': 4, 'field': [1, -6, 1, 0, 1], 'lmfdb_label': '76176.be2', 'torsion': [4]}
  • id: 3601949
    {'degree': 8, 'field': [-128547, 0, -64584, 0, 1242, 0, 0, 0, 1], 'lmfdb_label': '76176.be2', 'torsion': [6]}
  • id: 3601947
    {'degree': 8, 'field': [36, -132, 214, -194, 107, -26, 5, -2, 1], 'lmfdb_label': '76176.be2', 'torsion': [2, 4]}
  • id: 3601948
    {'degree': 8, 'field': [36, 0, -57, 0, 82, 0, 2, 0, 1], 'lmfdb_label': '76176.be2', 'torsion': [2, 4]}
  • id: 3601950
    {'degree': 16, 'field': [-6668, 40072, -93468, 118776, -96222, 63048, -42862, 13892, 10515, -9256, 380, 1176, -285, 0, 18, -8, 1], 'lmfdb_label': '76176.be2', 'torsion': [8]}
  • id: 3601951
    {'degree': 16, 'field': [952101, -2310354, 4221870, -4530306, 4150779, -2603964, 1474782, -599424, 256138, -82346, 28666, -7568, 2050, -392, 76, -8, 1], 'lmfdb_label': '76176.be2', 'torsion': [2, 6]}
• 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: 1852207
    {'conductor': 76176, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '76176.be2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1852208
    {'conductor': 76176, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '76176.be2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1852209
    {'conductor': 76176, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '76176.be2', '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: 2167262
    {'adelic_gens': [[1, 0, 4, 1], [185, 4, 94, 9], [3, 4, 8, 11], [1, 2, 2, 5], [194, 1, 179, 0], [1, 4, 0, 1], [273, 4, 272, 5], [73, 208, 68, 207]], 'adelic_image': '276.12.0.?', 'conductor': 76176, 'lmfdb_label': '76176.be2', 'prime': 0}
  • id: 314613
    {'conductor': 76176, 'elladic_image': '2.3.0.1', 'lmfdb_label': '76176.be2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3921681
    {'lmfdb_iso': '76176.be', 'p': 7, 'prec': 20, 'unit': 625041979807585, 'val': 3}
  • id: 3921687
    {'lmfdb_iso': '76176.be', 'p': 11, 'prec': 20, 'unit': 30782427075255776791, 'val': 2}
  • id: 3921685
    {'lmfdb_iso': '76176.be', 'p': 13, 'prec': 20, 'unit': 1322784474909642359646, 'val': 2}
  • id: 3921688
    {'lmfdb_iso': '76176.be', 'p': 17, 'prec': 20, 'unit': 147657155875261025531459, 'val': 2}
  • id: 3921689
    {'lmfdb_iso': '76176.be', 'p': 19, 'prec': 20, 'unit': 1602053972268773802080250, 'val': 2}
  • id: 3921684
    {'lmfdb_iso': '76176.be', 'p': 29, 'prec': 20, 'unit': 1380551033366353261357507066, 'val': 2}
  • id: 3921696
    {'lmfdb_iso': '76176.be', 'p': 31, 'prec': 20, 'unit': 15840613683440719678825704430, 'val': 2}
  • id: 3921680
    {'lmfdb_iso': '76176.be', 'p': 37, 'prec': 20, 'unit': 596375027024253183211066341822, 'val': 2}
  • id: 3921682
    {'lmfdb_iso': '76176.be', 'p': 41, 'prec': 20, 'unit': 2598665131093037967784638457962, 'val': 2}
  • id: 3921683
    {'lmfdb_iso': '76176.be', 'p': 43, 'prec': 20, 'unit': 8115138900650022821711607578540, 'val': 2}
  • id: 3921690
    {'lmfdb_iso': '76176.be', 'p': 53, 'prec': 20, 'unit': 182263105618324378164993345185330, 'val': 2}
  • id: 3921694
    {'lmfdb_iso': '76176.be', 'p': 59, 'prec': 20, 'unit': 2786660312951625591284966168863179, 'val': 2}
  • id: 3921695
    {'lmfdb_iso': '76176.be', 'p': 61, 'prec': 20, 'unit': 2279906093091466624053168005784582, 'val': 2}
  • id: 3921679
    {'lmfdb_iso': '76176.be', 'p': 67, 'prec': 20, 'unit': 42736416516752394369857988298114698, 'val': 2}
  • id: 3921693
    {'lmfdb_iso': '76176.be', 'p': 71, 'prec': 20, 'unit': 135922411392225153575204459559294404, 'val': 2}
  • id: 3921691
    {'lmfdb_iso': '76176.be', 'p': 73, 'prec': 20, 'unit': 32283169519627439032877244951749271, 'val': 2}
  • id: 3921686
    {'lmfdb_iso': '76176.be', 'p': 79, 'prec': 20, 'unit': 939071454475228725399539119850335211, 'val': 2}
  • id: 3921678
    {'lmfdb_iso': '76176.be', 'p': 83, 'prec': 20, 'unit': 2413149753087051855367671854454345987, 'val': 2}
  • id: 3921692
    {'lmfdb_iso': '76176.be', 'p': 89, 'prec': 20, 'unit': 3220529292707282912807904601410071353, 'val': 2}
  • id: 3921677
    {'lmfdb_iso': '76176.be', 'p': 97, 'prec': 20, 'unit': 29730154579092038701499816435229103604, 'val': 2}