Elliptic curve data - 32487.e6

Formats: - HTML - YAML - JSON - 2023-06-04T11:05:09.116361

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '32487m', 'Clabel': '32487m5', 'Cnumber': 5, 'absD': 12784337402104656297, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 74256, 'ainvs': [1, 0, 0, 552278, 68146637], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32487, 'degree': 589824, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3548417573043155541679270421', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [158346567380527343, 108665074944153], 'lmfdb_iso': '32487.e', 'lmfdb_label': '32487.e6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 11271, -193848], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '28.12.0-4.c.1.1', '48.24.0-8.n.1.5', '56.24.0-8.n.1.9', '68.12.0.h.1', '104.24.0.?', '136.24.0.?', '336.48.0.?', '476.24.0.?', '624.48.0.?', '728.48.0.?', '816.48.0.?', '952.48.0.?', '1768.48.0.?', '4368.96.0.?', '5712.96.0.?', '10608.96.0.?', '12376.96.0.?', '74256.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0642626470206162648123084785', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3818866827766589016152506704', 'prec': 100}, '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, 1, -1, 2, -1, 0, 3, 1, -2, -4, -1, -1, 0, 2, -1, -1, -1, 4, -2], 'aplist': [-1, 1, 2, 0, -4, -1, -1, 4, 0, 6, 0, -2, -2, 12, 0, -10, -12, 10, 4, 8, -10, -8, -4, -10, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 32487, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '32487.e', 'trace_hash': 1963975111581066483}
• 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': '0.0090076279140142870016046809559', 'prec': 110}, 'conductor': 32487, 'gens': [[1061, 42467, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0642626470206162648123084785', 'prec': 100}], 'lmfdb_label': '32487.e6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14169147262354586618715938905', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6798146294100795709226626653705805888', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-481, 481, 2]], 'xcoord_integral_points': [1061]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 1], '3': [6, 0], '5': [3, 0], '7': 'a', '11': [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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '32487.e6'}
• ec_torsion_growth •

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

  
  
  • id: 1617428
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [4]}
  • id: 1617427
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [2, 2]}
  • id: 1617429
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '32487.e6', 'torsion': [4]}
  • id: 1617430
    {'degree': 4, 'field': [36, 0, 5, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [2, 4]}
  • id: 1617432
    {'degree': 4, 'field': [1089, 0, 38, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [8]}
  • id: 1617431
    {'degree': 4, 'field': [189225, 0, -898, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [8]}
  • id: 1617436
    {'degree': 8, 'field': [-182873, -6556, 5068, 2975, -1484, -7, 7, -4, 1], 'lmfdb_label': '32487.e6', 'torsion': [6]}
  • id: 1617434
    {'degree': 8, 'field': [288, -372, 362, 12, 15, -28, 14, -4, 1], 'lmfdb_label': '32487.e6', 'torsion': [8]}
  • id: 1617435
    {'degree': 8, 'field': [338724, 0, 53972, 0, 4413, 0, 114, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [2, 8]}
  • id: 1617433
    {'degree': 8, 'field': [8257018, 57428, -51658, -11548, 5795, -28, 14, -4, 1], 'lmfdb_label': '32487.e6', 'torsion': [2, 4]}
  • id: 1617438
    {'degree': 16, 'field': [5184, 0, -8288, 0, 5044, 0, -1816, 0, 593, 0, 296, 0, 122, 0, 16, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [2, 8]}
  • id: 1617443
    {'degree': 16, 'field': [15116544, 0, 196655040, 0, 3682908000, 0, 10925280, 0, 47805, 0, 116615, 0, 282, 0, 0, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [12]}
  • id: 1617442
    {'degree': 16, 'field': [16573041, 0, 9502578, 0, 1177857, 0, -1447528, 0, 229238, 0, -18814, 0, 1360, 0, -56, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [12]}
  • id: 1617441
    {'degree': 16, 'field': [447435936693, -72653168376, 75723508530, -6894600930, 5351686200, -2340497376, 873425007, -82356888, 23653372, -2103956, 483973, -37016, 8323, -1022, 166, -8, 1], 'lmfdb_label': '32487.e6', 'torsion': [2, 6]}
  • id: 1617440
    {'degree': 16, 'field': [46082388136801, 0, 78493245424, 0, 494785307872, 0, -3257773280, 0, -57431966, 0, 1022704, 0, 22432, 0, 160, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [16]}
  • id: 1617437
    {'degree': 16, 'field': [68178346252324, 0, 856380046872, 0, 99693744672, 0, 497660052, 0, 48462373, 0, 34224, 0, 11562, 0, -12, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [4, 4]}
  • id: 1617439
    {'degree': 16, 'field': [212554421047845009, 0, 8086234646408520, 0, 239412167637160, 0, -126664313664, 0, -22016546754, 0, -66170696, 0, 919848, 0, -1824, 0, 1], 'lmfdb_label': '32487.e6', 'torsion': [16]}
• 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: 759886
    {'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '32487.e6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 759887
    {'conductor': 32487, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '32487.e6', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 759888
    {'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '32487.e6', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 759889
    {'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '32487.e6', 'prime': 17, '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: 1881140
    {'adelic_gens': [[8752, 5, 21795, 74242], [13, 16, 18308, 18249], [1, 16, 0, 1], [49505, 16, 24760, 129], [42431, 74240, 42424, 74127], [74241, 16, 74240, 17], [64982, 18569, 9285, 37130], [15, 2, 74158, 74243], [1, 0, 16, 1], [13, 16, 34016, 73941], [5, 4, 74252, 74253]], 'adelic_image': '74256.192.1.?', 'conductor': 32487, 'lmfdb_label': '32487.e6', 'prime': 0}
  • id: 145233
    {'conductor': 32487, 'elladic_image': '8.12.0.5', 'lmfdb_label': '32487.e6', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1583782
    {'lmfdb_iso': '32487.e', 'p': 5, 'prec': 20, 'unit': 2801094382632, 'val': 2}
  • id: 1583775
    {'lmfdb_iso': '32487.e', 'p': 11, 'prec': 20, 'unit': 40907072186307765517, 'val': 1}
  • id: 1583776
    {'lmfdb_iso': '32487.e', 'p': 19, 'prec': 20, 'unit': 1208927576567190828641890, 'val': 1}
  • id: 1583773
    {'lmfdb_iso': '32487.e', 'p': 29, 'prec': 20, 'unit': 4856434867967809970985994346, 'val': 1}
  • id: 1583769
    {'lmfdb_iso': '32487.e', 'p': 37, 'prec': 20, 'unit': 595890220240691917777719516733, 'val': 1}
  • id: 1583771
    {'lmfdb_iso': '32487.e', 'p': 41, 'prec': 20, 'unit': 928407848924986950438126862178, 'val': 1}
  • id: 1583772
    {'lmfdb_iso': '32487.e', 'p': 43, 'prec': 20, 'unit': 7186033879449683938275716789576, 'val': 1}
  • id: 1583777
    {'lmfdb_iso': '32487.e', 'p': 53, 'prec': 20, 'unit': 64051692622021951226444226741747, 'val': 1}
  • id: 1583780
    {'lmfdb_iso': '32487.e', 'p': 59, 'prec': 20, 'unit': 3664360515846162213418995799520288, 'val': 1}
  • id: 1583781
    {'lmfdb_iso': '32487.e', 'p': 61, 'prec': 20, 'unit': 2911894642883641533395581803406527, 'val': 1}
  • id: 1583768
    {'lmfdb_iso': '32487.e', 'p': 67, 'prec': 20, 'unit': 17875821537487451482683789753603182, 'val': 1}
  • id: 1583770
    {'lmfdb_iso': '32487.e', 'p': 71, 'prec': 20, 'unit': 120285515495394024810788495062655393, 'val': 1}
  • id: 1583778
    {'lmfdb_iso': '32487.e', 'p': 73, 'prec': 20, 'unit': 75038799384885477640793083009553090, 'val': 1}
  • id: 1583774
    {'lmfdb_iso': '32487.e', 'p': 79, 'prec': 20, 'unit': 673486974063694667249435743823595098, 'val': 1}
  • id: 1583767
    {'lmfdb_iso': '32487.e', 'p': 83, 'prec': 20, 'unit': 1890368962216628789780121916709785194, 'val': 1}
  • id: 1583779
    {'lmfdb_iso': '32487.e', 'p': 89, 'prec': 20, 'unit': 7042846763258236851478306256938481287, 'val': 1}
  • id: 1583766
    {'lmfdb_iso': '32487.e', 'p': 97, 'prec': 20, 'unit': 19289854646935594318920321299931581431, 'val': 1}