Elliptic curve data - 64400.e1

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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': '64400bl', 'Clabel': '64400bl2', 'Cnumber': 2, 'abc_quality': 0.9199689344360392, 'absD': 53086208000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1288, 'ainvs': [0, 1, 0, -69608, -7083212], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 64400, 'degree': 245760, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5365183842528547259372157095', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [582810602977, 829472], 'lmfdb_iso': '64400.e', 'lmfdb_label': '64400.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -174, 868], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '644.6.0.?', '1288.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0417545637868292717048309565', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 2576], [7, 8, 9200], [23, 24, 2800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.038652247475859229219603921430', 'prec': 107}, 'szpiro_ratio': 4.06990474676139, '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, -2, 0, 0, 0, -1, 0, 1, 0, 2, 0, 4, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, -2, 0, -1, 2, 4, 6, 0, 1, -2, -4, 0, 6, 6, 0, 12, 10, 2, -2, -8, -2, -8, -16, 6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 64400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '64400.e', 'trace_hash': 994999817043357962}
• 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': '0.046280398386940733148926940549', 'prec': 107}, 'conductor': 64400, 'gens': [[1292, 45402, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0417545637868292717048309565', 'prec': 100}], 'lmfdb_label': '64400.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29394857914171415073746470425', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7522720450587085553182503702797042257', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-157, 0, 1]], 'xcoord_integral_points': [-157, 1292]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [7, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '64400.e1'}
• ec_torsion_growth •

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

  
  
  • id: 3078629
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '64400.e1', 'torsion': [2, 2]}
  • id: 3078630
    {'degree': 4, 'field': [830, -110, 19, -1, 1], 'lmfdb_label': '64400.e1', 'torsion': [4]}
  • id: 3078633
    {'degree': 8, 'field': [-120000, 0, -23500, 0, -1200, 0, 0, 0, 1], 'lmfdb_label': '64400.e1', 'torsion': [6]}
  • id: 3078632
    {'degree': 8, 'field': [49, 0, 108, 0, -140, 0, -4, 0, 1], 'lmfdb_label': '64400.e1', 'torsion': [2, 4]}
  • id: 3078631
    {'degree': 8, 'field': [735296, -181696, 61944, -6592, 2183, -246, 31, -2, 1], 'lmfdb_label': '64400.e1', 'torsion': [2, 4]}
  • id: 3078634
    {'degree': 16, 'field': [7072810000, 0, -1675440200, 0, 304579916, 0, -34957356, 0, 2926628, 0, -154854, 0, 5315, 0, -49, 0, 1], 'lmfdb_label': '64400.e1', 'torsion': [8]}
  • id: 3078635
    {'degree': 16, 'field': [29509742656, 0, 6551629376, 0, 700728592, 0, 33532608, 0, 142320, 0, -57048, 0, -2288, 0, -16, 0, 1], 'lmfdb_label': '64400.e1', '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: 1555903
    {'conductor': 64400, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '64400.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1555904
    {'conductor': 64400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '64400.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1555905
    {'conductor': 64400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '64400.e1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1555906
    {'conductor': 64400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '64400.e1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2090844
    {'adelic_gens': [[1, 2, 2, 5], [2, 1, 643, 0], [1, 4, 0, 1], [1285, 4, 1284, 5], [1129, 162, 160, 1127], [281, 4, 562, 9], [1, 0, 4, 1], [185, 4, 370, 9], [3, 4, 8, 11]], 'adelic_image': '1288.12.0.?', 'conductor': 64400, 'lmfdb_label': '64400.e1', 'prime': 0}
  • id: 270438
    {'conductor': 64400, 'elladic_image': '8.6.0.6', 'lmfdb_label': '64400.e1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3283220
    {'lmfdb_iso': '64400.e', 'p': 11, 'prec': 20, 'unit': 30128223823163687532, 'val': 1}
  • id: 3283225
    {'lmfdb_iso': '64400.e', 'p': 13, 'prec': 20, 'unit': 1100516197043037244708, 'val': 1}
  • id: 3283227
    {'lmfdb_iso': '64400.e', 'p': 17, 'prec': 20, 'unit': 206294790056071388901724, 'val': 1}
  • id: 3283224
    {'lmfdb_iso': '64400.e', 'p': 29, 'prec': 20, 'unit': 1191202857887132593172104519, 'val': 1}
  • id: 3283234
    {'lmfdb_iso': '64400.e', 'p': 31, 'prec': 20, 'unit': 9639228330830608526995336132, 'val': 1}
  • id: 3283222
    {'lmfdb_iso': '64400.e', 'p': 41, 'prec': 20, 'unit': 1157344826439388526274842512048, 'val': 1}
  • id: 3283223
    {'lmfdb_iso': '64400.e', 'p': 43, 'prec': 20, 'unit': 7011347204310467714821235443592, 'val': 1}
  • id: 3283229
    {'lmfdb_iso': '64400.e', 'p': 53, 'prec': 20, 'unit': 574713116357486340395143076176189, 'val': 1}
  • id: 3283232
    {'lmfdb_iso': '64400.e', 'p': 59, 'prec': 20, 'unit': 3695255309953353313642324933780160, 'val': 1}
  • id: 3283233
    {'lmfdb_iso': '64400.e', 'p': 61, 'prec': 20, 'unit': 3421270845133438584636875236231824, 'val': 1}
  • id: 3283219
    {'lmfdb_iso': '64400.e', 'p': 67, 'prec': 20, 'unit': 37532180175398675134445731821460623, 'val': 1}
  • id: 3283221
    {'lmfdb_iso': '64400.e', 'p': 71, 'prec': 20, 'unit': 109466581049101841458605687300082121, 'val': 1}
  • id: 3283230
    {'lmfdb_iso': '64400.e', 'p': 73, 'prec': 20, 'unit': 111988231611766948427366021160752949, 'val': 1}
  • id: 3283226
    {'lmfdb_iso': '64400.e', 'p': 79, 'prec': 20, 'unit': 636758990293811252985332828215947912, 'val': 1}
  • id: 3283228
    {'lmfdb_iso': '64400.e', 'p': 83, 'prec': 20, 'unit': 701600659957049648173127185556629786, 'val': 1}
  • id: 3283231
    {'lmfdb_iso': '64400.e', 'p': 89, 'prec': 20, 'unit': 756717132469650429209421364905416926, 'val': 1}
  • id: 3283218
    {'lmfdb_iso': '64400.e', 'p': 97, 'prec': 20, 'unit': 16898826124894251998609526335032213124, 'val': 1}