Elliptic curve data - 2496.c3

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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': '2496c', 'Clabel': '2496c1', 'Cnumber': 1, 'abc_quality': 0.9241957238555172, 'absD': 1078272, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, -1, 0, -29, 45], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2496, 'degree': 256, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.14344826577725367639861872017', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 1053], 'lmfdb_iso': '2496.c', 'lmfdb_label': '2496.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, 2], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '24.24.0-24.z.1.14', '26.6.0.b.1', '52.12.0.g.1', '104.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.97795572132933961187516194452', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 832], [13, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72107091624387476757964548805', 'prec': 107}, 'szpiro_ratio': 2.7804321234972638, '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, -1, 0, -2, 0, 0, 0, 1, 0, 0, 0, -1, 0, 2, 0, 2, 0, 4, 0], 'aplist': [0, -1, -2, 0, 0, -1, 2, 4, 0, -6, 0, 2, 6, 12, -4, -6, 8, 2, -4, -12, -14, 0, -8, -18, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 2496, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2496.c', 'trace_hash': 1339345187286335470}
• 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': '1.3322863567456045206933114444', 'prec': 100}, 'conductor': 2496, 'gens': [[1, 4, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.97795572132933961187516194452', 'prec': 103}], 'lmfdb_label': '2496.c3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.5140287655697468987429920854', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4586088148754710620434497586455559582', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[5, 0, 1]], 'xcoord_integral_points': [-4, 1, 5]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2496.c3'}
• ec_torsion_growth •

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

  
  
  • id: 128468
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [4]}
  • id: 128467
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '2496.c3', 'torsion': [2, 2]}
  • id: 128469
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [4]}
  • id: 128470
    {'degree': 4, 'field': [-1, 10, -9, -2, 1], 'lmfdb_label': '2496.c3', 'torsion': [2, 4]}
  • id: 128474
    {'degree': 8, 'field': [-48, 0, 1600, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [6]}
  • id: 128473
    {'degree': 8, 'field': [9, 0, -24, 0, 19, 0, -4, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [8]}
  • id: 128471
    {'degree': 8, 'field': [9, 0, 20, 0, -5, 0, 2, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [2, 4]}
  • id: 128472
    {'degree': 8, 'field': [196, 0, -488, 0, 228, 0, -32, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [8]}
  • id: 128476
    {'degree': 16, 'field': [1, 0, 44, 0, 1909, 0, 1172, 0, 376, 0, 128, 0, 37, 0, 8, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [2, 8]}
  • id: 128480
    {'degree': 16, 'field': [144, 0, -576, 0, 576, 0, -272, 0, 344, 0, 40, 0, 4, 0, -4, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [12]}
  • id: 128475
    {'degree': 16, 'field': [289, -1564, 4232, -4676, 2694, -440, 760, -1372, 1255, -584, 232, -172, 126, -76, 32, -8, 1], 'lmfdb_label': '2496.c3', 'torsion': [4, 4]}
  • id: 128478
    {'degree': 16, 'field': [729, 0, -2052, 0, -5040, 0, 8856, 0, 7134, 0, 1012, 0, -276, 0, 0, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [2, 6]}
  • id: 128477
    {'degree': 16, 'field': [6561, 0, -37908, 0, 76626, 0, -70200, 0, 32427, 0, -7800, 0, 946, 0, -52, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [2, 8]}
  • id: 128479
    {'degree': 16, 'field': [3549456, 0, -2841408, 0, 2011104, 0, -702608, 0, 131336, 0, -15368, 0, 1180, 0, -52, 0, 1], 'lmfdb_label': '2496.c3', 'torsion': [12]}
• 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: 42966
    {'conductor': 2496, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2496.c3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 42967
    {'conductor': 2496, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2496.c3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 42968
    {'conductor': 2496, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2496.c3', '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: 1680226
    {'adelic_gens': [[7, 6, 306, 307], [224, 3, 101, 2], [1, 0, 8, 1], [1, 8, 0, 1], [121, 120, 286, 127], [1, 4, 4, 17], [269, 270, 182, 29], [305, 8, 304, 9], [209, 8, 212, 33]], 'adelic_image': '312.48.0.?', 'conductor': 2496, 'lmfdb_label': '2496.c3', 'prime': 0}
  • id: 12432
    {'conductor': 2496, 'elladic_image': '8.12.0.8', 'lmfdb_label': '2496.c3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 77170
    {'lmfdb_iso': '2496.c', 'p': 5, 'prec': 20, 'unit': 116127930052, 'val': 4}
  • id: 77163
    {'lmfdb_iso': '2496.c', 'p': 17, 'prec': 20, 'unit': 227628821156810325448954, 'val': 1}
  • id: 77154
    {'lmfdb_iso': '2496.c', 'p': 19, 'prec': 20, 'unit': 757920317054229555017981, 'val': 1}
  • id: 77161
    {'lmfdb_iso': '2496.c', 'p': 29, 'prec': 20, 'unit': 4735288719074671741120494872, 'val': 1}
  • id: 77157
    {'lmfdb_iso': '2496.c', 'p': 37, 'prec': 20, 'unit': 282958529121592596636142706037, 'val': 1}
  • id: 77159
    {'lmfdb_iso': '2496.c', 'p': 41, 'prec': 20, 'unit': 1137162026344987347563181638193, 'val': 1}
  • id: 77160
    {'lmfdb_iso': '2496.c', 'p': 43, 'prec': 20, 'unit': 1253496398099274110925510804949, 'val': 1}
  • id: 77162
    {'lmfdb_iso': '2496.c', 'p': 47, 'prec': 20, 'unit': 17860226272874985079153382472110, 'val': 1}
  • id: 77165
    {'lmfdb_iso': '2496.c', 'p': 53, 'prec': 20, 'unit': 175042634236064571202687307559935, 'val': 1}
  • id: 77168
    {'lmfdb_iso': '2496.c', 'p': 59, 'prec': 20, 'unit': 662289042830661458788282834859360, 'val': 1}
  • id: 77169
    {'lmfdb_iso': '2496.c', 'p': 61, 'prec': 20, 'unit': 1545420967747219333825959762224522, 'val': 1}
  • id: 77156
    {'lmfdb_iso': '2496.c', 'p': 67, 'prec': 20, 'unit': 45304100364302045448655432351024458, 'val': 1}
  • id: 77158
    {'lmfdb_iso': '2496.c', 'p': 71, 'prec': 20, 'unit': 47270937902858977032237212677229845, 'val': 1}
  • id: 77166
    {'lmfdb_iso': '2496.c', 'p': 73, 'prec': 20, 'unit': 56628307669794550541317980027514038, 'val': 1}
  • id: 77164
    {'lmfdb_iso': '2496.c', 'p': 83, 'prec': 20, 'unit': 435190321941134903708120014818967708, 'val': 1}
  • id: 77167
    {'lmfdb_iso': '2496.c', 'p': 89, 'prec': 20, 'unit': 7281384430889209334544040292264768453, 'val': 1}
  • id: 77155
    {'lmfdb_iso': '2496.c', 'p': 97, 'prec': 20, 'unit': 27063270354086365867650335222947673551, 'val': 1}