Elliptic curve data - 24400.k1

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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': '24400d', 'Clabel': '24400d1', 'Cnumber': 1, 'abc_quality': 0.831001051577112, 'absD': 74420000000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [0, -1, 0, 9792, 178912], 'analytic_rank': 1, 'bad_primes': [2, 5, 61], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 24400, 'degree': 53760, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3501321891627850474516926521', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1], 'jinv': [5191150, 3721], 'lmfdb_iso': '24400.k', 'lmfdb_label': '24400.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 392, -1588], 'min_quad_twist_disc': -20, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3902126452127326854136938706', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62645098671224846501473623692', 'prec': 107}, 'szpiro_ratio': 3.8784549008281823, '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, 0, 0, 2, 0, -2, 0, 3, 0, -6, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, -1, 0, 2, 3, -6, -3, 5, -4, 4, 2, -4, 9, -4, 0, -2, 4, -1, -5, 14, -11, -14, 1, 1, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 24400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '24400.k', 'trace_hash': 1389017484107398468}
• 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': '0.067187747407310449143743023305', 'prec': 107}, 'conductor': 24400, 'gens': [[-12, 244, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3902126452127326854136938706', 'prec': 100}], 'lmfdb_label': '24400.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38947608444517703546842288675', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3316366208290177385619848823019550533', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [-12, 466]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 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, 1, 0], '61': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '24400.k1'}
• ec_torsion_growth •

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

  
  
  • id: 1232193
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '24400.k1', 'torsion': [2]}
  • id: 1232194
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '24400.k1', 'torsion': [2, 2]}
  • id: 1232195
    {'degree': 8, 'field': [-6075, 0, -2420, 0, -270, 0, 0, 0, 1], 'lmfdb_label': '24400.k1', 'torsion': [3]}
  • id: 1232196
    {'degree': 12, 'field': [7456, 68472, -90356, 103020, -52790, 25512, -8256, 1268, -10, -20, -6, -2, 1], 'lmfdb_label': '24400.k1', 'torsion': [4]}
• 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: 559881
    {'conductor': 24400, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '24400.k1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 559882
    {'conductor': 24400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '24400.k1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 559883
    {'conductor': 24400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '24400.k1', '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: 1827072
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 24400, 'lmfdb_label': '24400.k1', 'prime': 0}
  • id: 111716
    {'conductor': 24400, 'elladic_image': '8.2.0.1', 'lmfdb_label': '24400.k1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1158411
    {'lmfdb_iso': '24400.k', 'p': 7, 'prec': 20, 'unit': 8403155599989749, 'val': 1}
  • id: 1158416
    {'lmfdb_iso': '24400.k', 'p': 11, 'prec': 20, 'unit': 7823366715376909579, 'val': 1}
  • id: 1158414
    {'lmfdb_iso': '24400.k', 'p': 13, 'prec': 20, 'unit': 863959757425212141173, 'val': 1}
  • id: 1158417
    {'lmfdb_iso': '24400.k', 'p': 17, 'prec': 20, 'unit': 148458600512818948436800, 'val': 1}
  • id: 1158418
    {'lmfdb_iso': '24400.k', 'p': 19, 'prec': 20, 'unit': 854902693644859794193697, 'val': 1}
  • id: 1158421
    {'lmfdb_iso': '24400.k', 'p': 23, 'prec': 20, 'unit': 43701427424722205367255118, 'val': 1}
  • id: 1158425
    {'lmfdb_iso': '24400.k', 'p': 29, 'prec': 20, 'unit': 5932458479348407471266877360, 'val': 1}
  • id: 1158426
    {'lmfdb_iso': '24400.k', 'p': 31, 'prec': 20, 'unit': 18750947219813101080750001395, 'val': 1}
  • id: 1158410
    {'lmfdb_iso': '24400.k', 'p': 37, 'prec': 20, 'unit': 378515572876768309938670326567, 'val': 1}
  • id: 1158412
    {'lmfdb_iso': '24400.k', 'p': 41, 'prec': 20, 'unit': 3432479438008928048221115167847, 'val': 1}
  • id: 1158413
    {'lmfdb_iso': '24400.k', 'p': 43, 'prec': 20, 'unit': 64746254994196456092064878591, 'val': 1}
  • id: 1158419
    {'lmfdb_iso': '24400.k', 'p': 53, 'prec': 20, 'unit': 189833194426755143173498196627124, 'val': 1}
  • id: 1158424
    {'lmfdb_iso': '24400.k', 'p': 59, 'prec': 20, 'unit': 2693342552127954945146197685889902, 'val': 1}
  • id: 1158409
    {'lmfdb_iso': '24400.k', 'p': 67, 'prec': 20, 'unit': 12281037927375969627613251850391859, 'val': 1}
  • id: 1158423
    {'lmfdb_iso': '24400.k', 'p': 71, 'prec': 20, 'unit': 78241981435370750994652897716295472, 'val': 1}
  • id: 1158420
    {'lmfdb_iso': '24400.k', 'p': 73, 'prec': 20, 'unit': 202507216355372430861866088171592060, 'val': 1}
  • id: 1158415
    {'lmfdb_iso': '24400.k', 'p': 79, 'prec': 20, 'unit': 603045869615829340144401067105277042, 'val': 1}
  • id: 1158408
    {'lmfdb_iso': '24400.k', 'p': 83, 'prec': 20, 'unit': 208801991432277770460885200124140279216, 'val': -1}
  • id: 1158422
    {'lmfdb_iso': '24400.k', 'p': 89, 'prec': 20, 'unit': 142385076031730819827010179165856188060, 'val': -1}
  • id: 1158407
    {'lmfdb_iso': '24400.k', 'p': 97, 'prec': 20, 'unit': 38101297569450081685303535457174981600, 'val': 1}