Elliptic curve data - 24400.o2

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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': '24400g', 'Clabel': '24400g2', 'Cnumber': 2, 'abc_quality': 1.1624400589882282, 'absD': 7442000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1220, 'ainvs': [0, 0, 0, 125, 131250], 'analytic_rank': 2, 'bad_primes': [2, 5, 61], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 24400, 'degree': 40960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1487414319583997397897111682', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [108, 3721], 'lmfdb_iso': '24400.o', 'lmfdb_label': '24400.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 5, -1050], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.a.1', '244.6.0.?', '1220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.4137708748129839055507416873', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63595965283379663234188509960', 'prec': 107}, 'szpiro_ratio': 3.6717106860223776, '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, 0, 0, 0, 0, 0, 0, -3, 0, -6, 0, 4, 0, 0, 0, -2, 0, -8, 0], 'aplist': [0, 0, 0, 0, -6, 4, -2, -8, -8, -6, -6, 2, -6, -4, 4, 6, -6, -1, -12, -2, 4, -10, 4, -10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 24400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '24400.o', 'trace_hash': 1515085868342244526}
• 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': '0.10051152676137928654892708407', 'prec': 103}, 'conductor': 24400, 'gens': [[11, 366, 1], [1075, 35250, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6515480179890966047389777444', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.9020194903450852335147593372', 'prec': 100}], 'lmfdb_label': '24400.o2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.58714942475006689294771574900', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5316837592503536000298319445586599012', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-50, 0, 1]], 'xcoord_integral_points': [-50, 11, 75, 146, 1075]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 2, 0], '5': 'a', '7': [2, 2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [4, 0], '47': [2, 0], '61': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '24400.o2'}
• ec_torsion_growth •

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

  
  
  • id: 1232224
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '24400.o2', 'torsion': [2, 2]}
  • id: 1232225
    {'degree': 4, 'field': [-20, 0, -15, 0, 1], 'lmfdb_label': '24400.o2', 'torsion': [4]}
  • id: 1232228
    {'degree': 8, 'field': [-1200, 0, -1200, 0, 120, 0, 0, 0, 1], 'lmfdb_label': '24400.o2', 'torsion': [6]}
  • id: 1232227
    {'degree': 8, 'field': [81, 0, -152, 0, 94, 0, -8, 0, 1], 'lmfdb_label': '24400.o2', 'torsion': [2, 4]}
  • id: 1232226
    {'degree': 8, 'field': [1296, 0, 324, 0, 16, 0, 9, 0, 1], 'lmfdb_label': '24400.o2', 'torsion': [2, 4]}
  • id: 1232229
    {'degree': 16, 'field': [38416, 0, -88984, 0, 72440, 0, 32734, 0, -118711, 0, 3044, 0, 1490, 0, 46, 0, 1], 'lmfdb_label': '24400.o2', 'torsion': [8]}
  • id: 1232230
    {'degree': 16, 'field': [36905625, 0, -32805000, 0, 16767000, 0, 1458000, 0, 84750, 0, -6600, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '24400.o2', '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: 559896
    {'conductor': 24400, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '24400.o2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 559897
    {'conductor': 24400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '24400.o2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 559898
    {'conductor': 24400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '24400.o2', 'prime': 61, '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: 1827078
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1217, 4, 1216, 5], [1, 2, 2, 5], [1, 4, 0, 1], [1161, 4, 1102, 9], [248, 1, 243, 0], [916, 309, 305, 916]], 'adelic_image': '1220.12.0.?', 'conductor': 24400, 'lmfdb_label': '24400.o2', 'prime': 0}
  • id: 111720
    {'conductor': 24400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '24400.o2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1158436
    {'lmfdb_iso': '24400.o', 'p': 11, 'prec': 20, 'unit': 23936955747551105883, 'val': 2}
  • id: 1158434
    {'lmfdb_iso': '24400.o', 'p': 13, 'prec': 20, 'unit': 248614963490527900463, 'val': 2}
  • id: 1158437
    {'lmfdb_iso': '24400.o', 'p': 17, 'prec': 20, 'unit': 155248051591604013444004, 'val': 2}
  • id: 1158438
    {'lmfdb_iso': '24400.o', 'p': 19, 'prec': 20, 'unit': 136082115928516678036674, 'val': 2}
  • id: 1158442
    {'lmfdb_iso': '24400.o', 'p': 23, 'prec': 20, 'unit': 22352720437489433093660457, 'val': 2}
  • id: 1158445
    {'lmfdb_iso': '24400.o', 'p': 29, 'prec': 20, 'unit': 4774388960308329119602642922, 'val': 2}
  • id: 1158446
    {'lmfdb_iso': '24400.o', 'p': 31, 'prec': 20, 'unit': 5551060127414097173632158973, 'val': 2}
  • id: 1158430
    {'lmfdb_iso': '24400.o', 'p': 37, 'prec': 20, 'unit': 94513298338885898275845662905, 'val': 2}
  • id: 1158432
    {'lmfdb_iso': '24400.o', 'p': 41, 'prec': 20, 'unit': 3151802157086216924049695887085, 'val': 2}
  • id: 1158433
    {'lmfdb_iso': '24400.o', 'p': 43, 'prec': 20, 'unit': 199618339272757924647539105808, 'val': 3}
  • id: 1158444
    {'lmfdb_iso': '24400.o', 'p': 47, 'prec': 20, 'unit': 13549715804088563839705582190764, 'val': 2}
  • id: 1158439
    {'lmfdb_iso': '24400.o', 'p': 53, 'prec': 20, 'unit': 70469462449704721126685514459688, 'val': 2}
  • id: 1158440
    {'lmfdb_iso': '24400.o', 'p': 59, 'prec': 20, 'unit': 1324777711033121830341710151859793, 'val': 2}
  • id: 1158429
    {'lmfdb_iso': '24400.o', 'p': 67, 'prec': 20, 'unit': 26033275885435191794905706214112372, 'val': 2}
  • id: 1158431
    {'lmfdb_iso': '24400.o', 'p': 71, 'prec': 20, 'unit': 17156547717024059326258185413732176, 'val': 2}
  • id: 1158441
    {'lmfdb_iso': '24400.o', 'p': 73, 'prec': 20, 'unit': 4409739128088101053576100053882028, 'val': 2}
  • id: 1158435
    {'lmfdb_iso': '24400.o', 'p': 79, 'prec': 20, 'unit': 436168256882676071805680650286406585, 'val': 2}
  • id: 1158428
    {'lmfdb_iso': '24400.o', 'p': 83, 'prec': 20, 'unit': 906814159699234979092562725232356688, 'val': 2}
  • id: 1158443
    {'lmfdb_iso': '24400.o', 'p': 89, 'prec': 20, 'unit': 6615087597754642843042316003636370835, 'val': 2}
  • id: 1158427
    {'lmfdb_iso': '24400.o', 'p': 97, 'prec': 20, 'unit': 43096111373725749873974627575470513251, 'val': 2}