Elliptic curve data - 92400.hu1

Formats: - HTML - YAML - JSON - 2024-05-08T13:34:25.606076

• 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': '92400hf', 'Clabel': '92400hf8', 'Cnumber': 8, 'abc_quality': 1.0452427382284861, 'absD': 489030696000000000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -10187195408, 395753507719188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 92400, 'degree': 95551488, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3301071568218892223401061005', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 202, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1826870018430810435423307849, 7641104625000000000], 'lmfdb_iso': '92400.hu', 'lmfdb_label': '92400.hu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -25467989, -49471735264], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.5', '12.24.0.g.1', '24.96.0-24.bu.2.30', '40.24.0-40.y.1.5', '60.48.0-12.g.1.6', '120.192.1.?', '616.24.0.?', '924.48.0.?', '1540.12.0.?', '1848.192.1.?', '3080.48.0.?', '4620.96.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1467723832937148958962176822', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8322410200448937256224943124', 'prec': 100}, 'szpiro_ratio': 7.062062863935428, '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, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, -2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 1, 0, 1, 1, -2, 6, 4, 0, -6, 4, -2, -6, -4, 0, 6, -12, 14, -16, 0, -2, 4, 0, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 92400, 'isogeny_matrix': [[1, 2, 3, 4, 6, 12, 12, 4], [2, 1, 6, 2, 3, 6, 6, 2], [3, 6, 1, 12, 2, 4, 4, 12], [4, 2, 12, 1, 6, 3, 12, 4], [6, 3, 2, 6, 1, 2, 2, 6], [12, 6, 4, 3, 2, 1, 4, 12], [12, 6, 4, 12, 2, 4, 1, 3], [4, 2, 12, 4, 6, 12, 3, 1]], 'lmfdb_iso': '92400.hu', 'trace_hash': 1534464479107364436}
• 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': '0.00017334715226243455984019087362', 'prec': 113}, 'conductor': 92400, 'gens': [[58498, 86400, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1467723832937148958962176822', 'prec': 100}], 'lmfdb_label': '92400.hu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.046141392647882742067679884809', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.5092864764658875294035402039135378083', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[58363, 0, 1]], 'xcoord_integral_points': [58363, 58498, 91852, 292738]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': 'a', '7': [2, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 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': '92400.hu1'}
• ec_torsion_growth •

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

  
  
  • id: 4313900
    {'degree': 2, 'field': [-154, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 2]}
  • id: 4313901
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '92400.hu1', 'torsion': [4]}
  • id: 4313903
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [6]}
  • id: 4313902
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [4]}
  • id: 4313908
    {'degree': 4, 'field': [1, 0, -8, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [12]}
  • id: 4313905
    {'degree': 4, 'field': [114, 178, -67, -1, 1], 'lmfdb_label': '92400.hu1', 'torsion': [8]}
  • id: 4313904
    {'degree': 4, 'field': [1296, 0, -82, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 4]}
  • id: 4313907
    {'degree': 4, 'field': [2916, 0, -123, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [12]}
  • id: 4313906
    {'degree': 4, 'field': [19321, 0, -338, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 6]}
  • id: 4313909
    {'degree': 6, 'field': [4094, 1890, 75, -126, 15, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [6]}
  • id: 4313912
    {'degree': 8, 'field': [729, 15012, -11814, -6280, 2851, 344, -110, -4, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 8]}
  • id: 4313911
    {'degree': 8, 'field': [23716, 0, 0, 0, 268, 0, 0, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [8]}
  • id: 4313914
    {'degree': 8, 'field': [45021, 184704, -80417, -18770, 7676, 580, -193, -2, 1], 'lmfdb_label': '92400.hu1', 'torsion': [24]}
  • id: 4313913
    {'degree': 8, 'field': [705600, 0, -194880, 0, 10516, 0, -188, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 12]}
  • id: 4313910
    {'degree': 8, 'field': [55442916, 0, 909520, 0, -14492, 0, 40, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 4]}
  • id: 4313915
    {'degree': 12, 'field': [484, 13860, 133950, 47250, 14775, 3150, -581, -1260, 150, 0, -15, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [3, 6]}
  • id: 4313918
    {'degree': 12, 'field': [15928326, -6007932, 1261170, -1046556, 143559, 21168, 23534, 0, 75, -252, -12, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [12]}
  • id: 4313917
    {'degree': 12, 'field': [165140046, 188025138, 71506395, 10401174, 484299, 344358, 172439, 0, 6015, -252, 123, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [12]}
  • id: 4313916
    {'degree': 12, 'field': [450172560601, 0, -503099250, 0, 100632975, 0, -1339148, 0, 375, 0, 30, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 6]}
  • id: 4313924
    {'degree': 16, 'field': [-138594375, 570159000, -220460400, -622330200, 126653850, 199023000, -30351596, -28232240, 3878523, 1980776, -259852, -71040, 9110, 1232, -156, -8, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 24]}
  • id: 4313920
    {'degree': 16, 'field': [1476225, 0, 1229920, 0, 12056, 0, -41032, 0, 12174, 0, 384, 0, -136, 0, 8, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 8]}
  • id: 4313923
    {'degree': 16, 'field': [826562500, 230000000, 32000000, -31240000, -3999100, -2678000, 0, -56000, 188901, 5960, 800, -1040, 378, -40, 0, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [24]}
  • id: 4313921
    {'degree': 16, 'field': [1298215954423696, 0, -1030235827192880, 0, 138845109646936, 0, -3254491421720, 0, 19679602096, 0, -35138180, 0, 160006, 0, -770, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [16]}
  • id: 4313922
    {'degree': 16, 'field': [3189342607290225, 0, 41350041734880, 0, -1675272760004, 0, -9136332448, 0, 335832054, 0, 243616, 0, -29796, 0, 32, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [2, 12]}
  • id: 4313919
    {'degree': 16, 'field': [3285587100241681, 0, 0, 0, -1542805022244, 0, 0, 0, 365049046, 0, 0, 0, -30084, 0, 0, 0, 1], 'lmfdb_label': '92400.hu1', 'torsion': [4, 4]}
  • id: 4313925
    {'degree': 18, 'field': [-9194850219456, -6382244347776, -3516163421760, -1252025563968, 194667902640, 435255177024, 93642465744, -40272409440, -10730665188, 1660468680, 462472740, -31636980, -9712575, 254880, 101655, -708, -513, 0, 1], 'lmfdb_label': '92400.hu1', '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: 2262584
    {'conductor': 92400, 'conductor_valuation': 4, 'discriminant_valuation': 21, 'j_denominator_valuation': 9, 'kodaira_symbol': -17, 'lmfdb_label': '92400.hu1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2262585
    {'conductor': 92400, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '92400.hu1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 2262586
    {'conductor': 92400, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '92400.hu1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2262587
    {'conductor': 92400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '92400.hu1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2262588
    {'conductor': 92400, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '92400.hu1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2272330
    {'adelic_gens': [[5543, 9216, 1836, 8951], [15, 106, 7934, 11], [1, 12, 12, 145], [1926, 409, 4235, 2696], [3376, 21, 2235, 8866], [9217, 24, 9216, 25], [6929, 9216, 6918, 8951], [1, 24, 0, 1], [1336, 21, 1035, 8866], [7701, 6164, 20, 4701], [1, 0, 24, 1]], 'adelic_image': '9240.384.5.?', 'conductor': 92400, 'lmfdb_label': '92400.hu1', 'prime': 0}
  • id: 374341
    {'conductor': 92400, 'elladic_image': '8.12.0.6', 'lmfdb_label': '92400.hu1', 'modell_image': '2B', 'prime': 2}
  • id: 374342
    {'conductor': 92400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '92400.hu1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4793019
    {'lmfdb_iso': '92400.hu', 'p': 13, 'prec': 20, 'unit': 4137996413590033598, 'val': 1}
  • id: 4793021
    {'lmfdb_iso': '92400.hu', 'p': 17, 'prec': 20, 'unit': 63755196866894714068816, 'val': 1}
  • id: 4793022
    {'lmfdb_iso': '92400.hu', 'p': 19, 'prec': 20, 'unit': 811183330054931674992100, 'val': 1}
  • id: 4793018
    {'lmfdb_iso': '92400.hu', 'p': 29, 'prec': 20, 'unit': 52690812290786317873246820, 'val': 1}
  • id: 4793028
    {'lmfdb_iso': '92400.hu', 'p': 31, 'prec': 20, 'unit': 17003601739058566540867101979, 'val': 1}
  • id: 4793015
    {'lmfdb_iso': '92400.hu', 'p': 37, 'prec': 20, 'unit': 99625180226475231057645152429, 'val': 1}
  • id: 4793016
    {'lmfdb_iso': '92400.hu', 'p': 41, 'prec': 20, 'unit': 1247026166006248870033324782086, 'val': 1}
  • id: 4793017
    {'lmfdb_iso': '92400.hu', 'p': 43, 'prec': 20, 'unit': 9406202562225244005789360143331, 'val': 1}
  • id: 4793023
    {'lmfdb_iso': '92400.hu', 'p': 53, 'prec': 20, 'unit': 373291296751917722760716859363404, 'val': 1}
  • id: 4793026
    {'lmfdb_iso': '92400.hu', 'p': 59, 'prec': 20, 'unit': 3466763230739445013284576078665919, 'val': 1}
  • id: 4793027
    {'lmfdb_iso': '92400.hu', 'p': 61, 'prec': 20, 'unit': 1506003746453580895694359451563956, 'val': 1}
  • id: 4793014
    {'lmfdb_iso': '92400.hu', 'p': 67, 'prec': 20, 'unit': 2444453881154218411942519724841316, 'val': 1}
  • id: 4793024
    {'lmfdb_iso': '92400.hu', 'p': 73, 'prec': 20, 'unit': 52538906062209142723093886174293396, 'val': 1}
  • id: 4793020
    {'lmfdb_iso': '92400.hu', 'p': 79, 'prec': 20, 'unit': 285951794795844442899334513399536354, 'val': 1}
  • id: 4793025
    {'lmfdb_iso': '92400.hu', 'p': 89, 'prec': 20, 'unit': 4071108832749784417457206588433757752, 'val': 1}
  • id: 4793013
    {'lmfdb_iso': '92400.hu', 'p': 97, 'prec': 20, 'unit': 3350879286666651980051705779511796918, 'val': 1}