Elliptic curve data - 36400.l4

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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': '36400by', 'Clabel': '36400by1', 'Cnumber': 1, 'abc_quality': 0.895954553441358, 'absD': 137795840000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, 1, 0, -93408, -11004812], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 36400, 'degree': 165888, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6127043482141736662053769847', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1408317602329, 2153060], 'lmfdb_iso': '36400.l', 'lmfdb_label': '36400.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -234, 1352], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '56.6.0.d.1', '60.24.0-6.a.1.4', '130.6.0.?', '156.24.0.?', '168.24.0.?', '390.24.0.?', '780.48.0.?', '840.48.0.?', '2184.48.0.?', '3640.12.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6008725598217100601334426177', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 325], [3, 2, 2800], [5, 18, 1456], [7, 8, 5200], [13, 14, 2800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11483821143717816948776519663', 'prec': 103}, 'szpiro_ratio': 4.375013599349807, '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, 0, 0, -1, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, -2, 0, 1, 0, -1, 0, -2, -6, 6, -8, 10, -12, -4, 0, 12, -6, 2, -4, 6, 10, 16, 0, -12, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 36400, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '36400.l', 'trace_hash': 330499327143561658}
• 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': '0.039739536850091838003885991903', 'prec': 107}, 'conductor': 36400, 'gens': [[-172, 50, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6008725598217100601334426177', 'prec': 100}], 'lmfdb_label': '36400.l4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27311341011640567809595399002', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4977581117974950594048111731067144832', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-182, 0, 1]], 'xcoord_integral_points': [-182, -172, 378, 2843]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [2, 0], '11': [1, 3, 0], '13': [1, 0], '17': [1, 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]}, 'iwp0': 0, 'lmfdb_label': '36400.l4'}
• ec_torsion_growth •

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

  
  
  • id: 1803126
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '36400.l4', 'torsion': [2, 2]}
  • id: 1803127
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [6]}
  • id: 1803129
    {'degree': 4, 'field': [4, 0, 9, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [2, 6]}
  • id: 1803128
    {'degree': 4, 'field': [65, 0, 34, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [4]}
  • id: 1803130
    {'degree': 6, 'field': [-15, 0, 55, 0, -5, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [6]}
  • id: 1803133
    {'degree': 8, 'field': [25, 0, 170, 0, 111, 0, 22, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [12]}
  • id: 1803132
    {'degree': 8, 'field': [256, 528, -38, -145, -559, -160, -22, -1, 1], 'lmfdb_label': '36400.l4', 'torsion': [2, 4]}
  • id: 1803131
    {'degree': 8, 'field': [28274, -12852, 2970, -224, 675, -196, 58, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [2, 4]}
  • id: 1803134
    {'degree': 12, 'field': [225, 0, 825, 0, 2950, 0, 245, 0, -30, 0, 5, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [3, 6]}
  • id: 1803135
    {'degree': 12, 'field': [298116, 0, -756756, 0, 163660, 0, -20875, 0, 1455, 0, -61, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [2, 6]}
  • id: 1803138
    {'degree': 16, 'field': [676, 0, -1352, 0, 12545, 0, -21372, 0, 9844, 0, -58, 0, -80, 0, -8, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [2, 12]}
  • id: 1803137
    {'degree': 16, 'field': [1700416, 0, -1028416, 0, 667808, 0, -145384, 0, 50513, 0, -8038, 0, 487, 0, -18, 0, 1], 'lmfdb_label': '36400.l4', 'torsion': [2, 12]}
  • id: 1803136
    {'degree': 16, 'field': [863808866, 144609544, 257221508, 25816728, 48307546, 5809104, 4762800, 33784, 369979, 27488, 15400, -1288, 546, 56, 12, -8, 1], 'lmfdb_label': '36400.l4', 'torsion': [8]}
  • id: 1803139
    {'degree': 18, 'field': [251901161, -306496416, 164565909, -201421282, 87353313, -23289954, 40206222, 4362882, 9314613, 965590, 927402, 11898, 43323, -7134, 1746, -458, 54, -6, 1], 'lmfdb_label': '36400.l4', 'torsion': [18]}
• 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: 857754
    {'conductor': 36400, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '36400.l4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 857755
    {'conductor': 36400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '36400.l4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 857756
    {'conductor': 36400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '36400.l4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 857757
    {'conductor': 36400, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '36400.l4', '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: 1907335
    {'adelic_gens': [[7801, 12, 3126, 73], [11, 2, 10870, 10911], [5461, 12, 6, 73], [1, 0, 12, 1], [7289, 2, 1878, 13], [10909, 12, 10908, 13], [1, 6, 6, 37], [9250, 3, 6693, 10912], [10910, 10917, 6579, 8], [1, 12, 0, 1], [5001, 3182, 7714, 5899]], 'adelic_image': '10920.96.1.?', 'conductor': 36400, 'lmfdb_label': '36400.l4', 'prime': 0}
  • id: 161233
    {'conductor': 36400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '36400.l4', 'modell_image': '2B', 'prime': 2}
  • id: 161234
    {'conductor': 36400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '36400.l4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1790895
    {'lmfdb_iso': '36400.l', 'p': 19, 'prec': 20, 'unit': 799357588751549811783941, 'val': 1}
  • id: 1790898
    {'lmfdb_iso': '36400.l', 'p': 23, 'prec': 20, 'unit': 4852248077350172850063835, 'val': 1}
  • id: 1790893
    {'lmfdb_iso': '36400.l', 'p': 29, 'prec': 20, 'unit': 3686157828547532525463773399, 'val': 1}
  • id: 1790902
    {'lmfdb_iso': '36400.l', 'p': 31, 'prec': 20, 'unit': 16781018767214498962607950303, 'val': 1}
  • id: 1790889
    {'lmfdb_iso': '36400.l', 'p': 37, 'prec': 20, 'unit': 490763283765385348753223670282, 'val': 1}
  • id: 1790891
    {'lmfdb_iso': '36400.l', 'p': 41, 'prec': 20, 'unit': 2923610332014755090201309550788, 'val': 1}
  • id: 1790892
    {'lmfdb_iso': '36400.l', 'p': 43, 'prec': 20, 'unit': 4173987683141595681781264784280, 'val': 1}
  • id: 1790896
    {'lmfdb_iso': '36400.l', 'p': 53, 'prec': 20, 'unit': 266400384642918252164588995254307, 'val': 1}
  • id: 1790900
    {'lmfdb_iso': '36400.l', 'p': 59, 'prec': 20, 'unit': 3424189938419779099662535010924190, 'val': 1}
  • id: 1790901
    {'lmfdb_iso': '36400.l', 'p': 61, 'prec': 20, 'unit': 6387100889837063669571377763200061, 'val': 1}
  • id: 1790888
    {'lmfdb_iso': '36400.l', 'p': 67, 'prec': 20, 'unit': 10830955472860026692216572099973847, 'val': 1}
  • id: 1790890
    {'lmfdb_iso': '36400.l', 'p': 71, 'prec': 20, 'unit': 120982459729293763231986615156496055, 'val': 1}
  • id: 1790897
    {'lmfdb_iso': '36400.l', 'p': 73, 'prec': 20, 'unit': 49862957439483889331812009582475930, 'val': 1}
  • id: 1790894
    {'lmfdb_iso': '36400.l', 'p': 79, 'prec': 20, 'unit': 931288609552998218478107174789958334, 'val': 1}
  • id: 1790899
    {'lmfdb_iso': '36400.l', 'p': 89, 'prec': 20, 'unit': 3383121556173815078045834380869827986, 'val': 1}
  • id: 1790887
    {'lmfdb_iso': '36400.l', 'p': 97, 'prec': 20, 'unit': 44032684957281707879125546203500967957, 'val': 1}