Elliptic curve data - 29120.bv2

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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': '29120ca', 'Clabel': '29120ca1', 'Cnumber': 1, 'abc_quality': 0.8700865457330431, 'absD': 201575628800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2184, 'ainvs': [0, 1, 0, 415, -21217], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 29120, 'degree': 27648, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84927616387982518427748724579', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 47, 'isogeny_degrees': [1, 3], 'jinv': [30080231, 768950], 'lmfdb_iso': '29120.bv', 'lmfdb_label': '29120.bv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 6, 42], 'min_quad_twist_disc': -8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.4', '728.2.0.?', '1092.8.0.?', '2184.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5521451307657803362171104373', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 91], [3, 2, 2240], [5, 6, 5824], [7, 8, 4160], [13, 14, 2240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19044460696009277984836093640', 'prec': 107}, 'szpiro_ratio': 3.255245121669523, '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, 0, 1, 0, 1, 0, -1, 0, -2, 0, -3, 0, -1, 0, 1, 0, -6, 0, 2, 0], 'aplist': [0, 1, 1, -1, -3, -1, -6, 2, 3, 6, 7, -5, 9, 2, 9, 0, 0, 13, -13, -12, -13, -5, 6, 18, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 29120, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '29120.bv', 'trace_hash': 181475362324136967}
• 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': '0.18294818144163117580905020669', 'prec': 103}, 'conductor': 29120, 'gens': [[23, 32, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5521451307657803362171104373', 'prec': 100}], 'lmfdb_label': '29120.bv2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48560995674740570467811877348', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0298970385349356847901205563830392943', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [23, 977]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [2, 0], '7': [3, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '29120.bv2'}
• ec_torsion_growth •

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

  
  
  • id: 1460237
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '29120.bv2', 'torsion': [3]}
  • id: 1460238
    {'degree': 3, 'field': [-2, 6, -1, 1], 'lmfdb_label': '29120.bv2', 'torsion': [2]}
  • id: 1460240
    {'degree': 6, 'field': [-4374, 0, 328, 0, -2, 0, 1], 'lmfdb_label': '29120.bv2', 'torsion': [3]}
  • id: 1460241
    {'degree': 6, 'field': [32, 0, 25, 0, 10, 0, 1], 'lmfdb_label': '29120.bv2', 'torsion': [6]}
  • id: 1460239
    {'degree': 6, 'field': [728, -728, 218, 12, -11, -2, 1], 'lmfdb_label': '29120.bv2', 'torsion': [2, 2]}
  • id: 1460244
    {'degree': 12, 'field': [18950, -18060, 13122, -3232, -2807, 3224, -394, -256, 140, -44, 4, 0, 1], 'lmfdb_label': '29120.bv2', 'torsion': [2, 6]}
  • id: 1460243
    {'degree': 12, 'field': [26244, 0, -99144, 0, 381996, 0, 28476, 0, 1504, 0, 46, 0, 1], 'lmfdb_label': '29120.bv2', 'torsion': [3, 3]}
  • id: 1460242
    {'degree': 12, 'field': [72340, -286218, -341602, -28806, 95426, 33506, -4182, -2570, 380, 151, -29, -5, 1], 'lmfdb_label': '29120.bv2', 'torsion': [4]}
  • id: 1460246
    {'degree': 18, 'field': [-92245446, 0, 41554836, 0, -18578628, 0, 2370445, 0, -930118, 0, 111783, 0, -3780, 0, 683, 0, 4, 0, 1], 'lmfdb_label': '29120.bv2', 'torsion': [6]}
  • id: 1460245
    {'degree': 18, 'field': [140426233, -151642164, 204632544, -41738270, 101439966, -23643546, 20260129, -2724222, 1594326, -98534, 201339, 22974, -2542, -1254, 531, -194, 33, -6, 1], 'lmfdb_label': '29120.bv2', 'torsion': [9]}
• 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: 677426
    {'conductor': 29120, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '29120.bv2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 677427
    {'conductor': 29120, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29120.bv2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 677428
    {'conductor': 29120, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '29120.bv2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 677429
    {'conductor': 29120, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '29120.bv2', 'prime': 13, 'reduction_type': -1, '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: 1858804
    {'adelic_gens': [[1091, 2178, 1089, 2165], [545, 2178, 0, 2183], [4, 3, 9, 7], [1249, 6, 1563, 19], [2179, 6, 2178, 7], [1, 6, 0, 1], [3, 4, 8, 11], [2017, 6, 1683, 19], [2094, 97, 1729, 1275], [1, 0, 6, 1]], 'adelic_image': '2184.16.0.?', 'conductor': 29120, 'lmfdb_label': '29120.bv2', 'prime': 0}
  • id: 131577
    {'conductor': 29120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '29120.bv2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1405441
    {'lmfdb_iso': '29120.bv', 'p': 11, 'prec': 20, 'unit': 54075945254066262465, 'val': 1}
  • id: 1405442
    {'lmfdb_iso': '29120.bv', 'p': 17, 'prec': 20, 'unit': 34377769829137300817966, 'val': 1}
  • id: 1405443
    {'lmfdb_iso': '29120.bv', 'p': 19, 'prec': 20, 'unit': 724954565056851020969854, 'val': 1}
  • id: 1405445
    {'lmfdb_iso': '29120.bv', 'p': 23, 'prec': 20, 'unit': 45718948018081588053662948, 'val': 1}
  • id: 1405439
    {'lmfdb_iso': '29120.bv', 'p': 29, 'prec': 20, 'unit': 3398267491268655619916617397, 'val': 1}
  • id: 1405449
    {'lmfdb_iso': '29120.bv', 'p': 31, 'prec': 20, 'unit': 16184338586332625043001023179, 'val': 1}
  • id: 1405435
    {'lmfdb_iso': '29120.bv', 'p': 37, 'prec': 20, 'unit': 246690798356390375726160909426, 'val': 1}
  • id: 1405437
    {'lmfdb_iso': '29120.bv', 'p': 41, 'prec': 20, 'unit': 4159620307500464387049986251050, 'val': 1}
  • id: 1405438
    {'lmfdb_iso': '29120.bv', 'p': 43, 'prec': 20, 'unit': 9108591020916395633632232937450, 'val': 1}
  • id: 1405440
    {'lmfdb_iso': '29120.bv', 'p': 47, 'prec': 20, 'unit': 51993969195290269576406915984266, 'val': 1}
  • id: 1405448
    {'lmfdb_iso': '29120.bv', 'p': 61, 'prec': 20, 'unit': 2878095881912961896396942789163416, 'val': 1}
  • id: 1405434
    {'lmfdb_iso': '29120.bv', 'p': 67, 'prec': 20, 'unit': 3253947406270376486867752468530892, 'val': 1}
  • id: 1405436
    {'lmfdb_iso': '29120.bv', 'p': 71, 'prec': 20, 'unit': 144413733485559032582506635548952065, 'val': 1}
  • id: 1405444
    {'lmfdb_iso': '29120.bv', 'p': 73, 'prec': 20, 'unit': 47018875997812437802271430199220604, 'val': 1}
  • id: 1405447
    {'lmfdb_iso': '29120.bv', 'p': 79, 'prec': 20, 'unit': 550316574862271680318153207509742648, 'val': 1}
  • id: 1405433
    {'lmfdb_iso': '29120.bv', 'p': 83, 'prec': 20, 'unit': 220271087185827165525279616259645212, 'val': 1}
  • id: 1405446
    {'lmfdb_iso': '29120.bv', 'p': 89, 'prec': 20, 'unit': 10466796858202767273694831717183156772, 'val': 1}
  • id: 1405432
    {'lmfdb_iso': '29120.bv', 'p': 97, 'prec': 20, 'unit': 10664111232312676038643148115486173284, 'val': 1}