Elliptic curve data - 5929.g2

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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': '5929d', 'Clabel': '5929d1', 'Cnumber': 1, 'abc_quality': 0.9461121308337243, 'absD': 1722499009, 'adelic_genus': 16, 'adelic_index': 480, 'adelic_level': 616, 'ainvs': [1, 0, 1, -124, 2055], 'analytic_rank': 1, 'bad_primes': [7, 11], 'class_deg': 11, 'class_size': 2, 'cm': 0, 'conductor': 5929, 'degree': 2160, 'elladic_images': ['4.2.0.1', '11.60.1.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45499423641197756316773691387', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 11], 'jinv': [-121, 1], 'lmfdb_iso': '5929.g', 'lmfdb_label': '5929.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2, -7], 'min_quad_twist_disc': -7, 'modell_images': ['11B.10.4'], 'modm_images': ['4.2.0.a.1', '11.60.1.b.1', '44.120.6.b.1', '56.4.0-4.a.1.1', '77.120.1.?', '88.240.16.?', '308.240.6.?', '616.480.16.?'], 'nonmax_primes': [2, 11], 'nonmax_rad': 22, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0916631393864725263698422766', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3172592623818026040722539838', 'prec': 103}, 'szpiro_ratio': 3.3138503479084043, '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, -1, -2, 0, -3, 1, -1, 0, 2, -1, 0, 2, -1, 5, 1, -6, 1], 'aplist': [1, -2, -1, 0, 0, -1, 5, -6, 2, 9, 2, -3, 5, 0, -2, 9, -8, -6, 2, 12, 2, -10, -6, 9, 13], 'class_deg': 11, 'class_size': 2, 'conductor': 5929, 'isogeny_matrix': [[1, 11], [11, 1]], 'lmfdb_iso': '5929.g', 'trace_hash': 183352003486330775}
• 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': '0.40252886402797170095801660196', 'prec': 103}, 'conductor': 5929, 'gens': [[-3, 50, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0916631393864725263698422766', 'prec': 100}], 'lmfdb_label': '5929.g2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2783805135129377390903615283', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7911217694240489521725368235750035869', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'o?', '3': [1, 0], '5': [1, 0], '7': 'a', '11': 'a', '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, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5929.g2'}
• ec_torsion_growth •

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

  
  
  • id: 309306
    {'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '5929.g2', 'torsion': [2]}
  • id: 309307
    {'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '5929.g2', 'torsion': [2, 2]}
  • id: 309308
    {'degree': 8, 'field': [-223, -136, 50, 27, -33, 21, -2, -2, 1], 'lmfdb_label': '5929.g2', 'torsion': [3]}
  • id: 309309
    {'degree': 10, 'field': [67, -419, 419, 461, -461, -155, 155, 21, -21, -1, 1], 'lmfdb_label': '5929.g2', 'torsion': [11]}
  • id: 309310
    {'degree': 12, 'field': [-29909, 12661, -7260, 2921, 4254, -1473, -1024, 215, 122, 9, -12, -3, 1], 'lmfdb_label': '5929.g2', '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: 117563
    {'conductor': 5929, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '5929.g2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 117564
    {'conductor': 5929, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '5929.g2', 'prime': 11, 'reduction_type': 0, '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

  
  
  • id: 1702823
    {'adelic_gens': [[309, 462, 462, 1], [1, 0, 176, 1], [337, 0, 0, 225], [309, 385, 0, 155], [1, 308, 0, 1], [263, 0, 0, 615], [540, 231, 77, 463], [441, 176, 440, 441], [1, 84, 0, 1], [309, 308, 308, 309], [309, 308, 154, 1], [1, 0, 308, 1]], 'adelic_image': '616.480.16.?', 'conductor': 5929, 'lmfdb_label': '5929.g2', 'prime': 0}
  • id: 29259
    {'conductor': 5929, 'elladic_image': '4.2.0.1', 'lmfdb_label': '5929.g2', 'modell_image': '2G', 'prime': 2}
  • id: 29260
    {'conductor': 5929, 'elladic_image': '11.60.1.4', 'lmfdb_label': '5929.g2', 'modell_image': '11B.10.4', 'prime': 11}
• ec_padic •

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

  
  
  • id: 228436
    {'lmfdb_iso': '5929.g', 'p': 5, 'prec': 20, 'unit': 8250562169626, 'val': 1}
  • id: 228442
    {'lmfdb_iso': '5929.g', 'p': 13, 'prec': 20, 'unit': 1100215481223782998294, 'val': 1}
  • id: 228444
    {'lmfdb_iso': '5929.g', 'p': 17, 'prec': 20, 'unit': 151322709905378929285484, 'val': 1}
  • id: 228433
    {'lmfdb_iso': '5929.g', 'p': 19, 'prec': 20, 'unit': 1924209303444044438553034, 'val': 1}
  • id: 228440
    {'lmfdb_iso': '5929.g', 'p': 23, 'prec': 20, 'unit': 58490297495820449681941093, 'val': 1}
  • id: 228441
    {'lmfdb_iso': '5929.g', 'p': 29, 'prec': 20, 'unit': 3516089259030000717115640455, 'val': 1}
  • id: 228438
    {'lmfdb_iso': '5929.g', 'p': 31, 'prec': 20, 'unit': 8388838113076341504929707609, 'val': 1}
  • id: 228452
    {'lmfdb_iso': '5929.g', 'p': 37, 'prec': 20, 'unit': 441994418466345470226704172602, 'val': 1}
  • id: 228439
    {'lmfdb_iso': '5929.g', 'p': 41, 'prec': 20, 'unit': 1595567501828699873624273912154, 'val': 1}
  • id: 228450
    {'lmfdb_iso': '5929.g', 'p': 47, 'prec': 20, 'unit': 57616411916168074766985680207148, 'val': 1}
  • id: 228446
    {'lmfdb_iso': '5929.g', 'p': 53, 'prec': 20, 'unit': 113948541369905259886810549159300, 'val': 1}
  • id: 228447
    {'lmfdb_iso': '5929.g', 'p': 59, 'prec': 20, 'unit': 3590159956691584167299529367494263, 'val': 1}
  • id: 228451
    {'lmfdb_iso': '5929.g', 'p': 61, 'prec': 20, 'unit': 800825283233461978436821350826091, 'val': 1}
  • id: 228435
    {'lmfdb_iso': '5929.g', 'p': 67, 'prec': 20, 'unit': 37042003192134781490753542812886740, 'val': 1}
  • id: 228437
    {'lmfdb_iso': '5929.g', 'p': 71, 'prec': 20, 'unit': 74912534567040128444030671336889236, 'val': 1}
  • id: 228448
    {'lmfdb_iso': '5929.g', 'p': 73, 'prec': 20, 'unit': 241308795763157699872395779858357369, 'val': 1}
  • id: 228443
    {'lmfdb_iso': '5929.g', 'p': 79, 'prec': 20, 'unit': 556922264236901400596906489753887995, 'val': 1}
  • id: 228445
    {'lmfdb_iso': '5929.g', 'p': 83, 'prec': 20, 'unit': 2825275190028350353197708134106563942, 'val': 1}
  • id: 228449
    {'lmfdb_iso': '5929.g', 'p': 89, 'prec': 20, 'unit': 9711892851618616060707751940957201817, 'val': 1}
  • id: 228434
    {'lmfdb_iso': '5929.g', 'p': 97, 'prec': 20, 'unit': 16439249194740415808794797575191004689, 'val': 1}