Elliptic curve data - 100014.f1

Formats: - HTML - YAML - JSON - 2024-04-29T10:17:34.997843

• 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': '100014e', 'Clabel': '100014e1', 'Cnumber': 1, 'abc_quality': 0.8644677581015926, 'absD': 298640203776, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 400056, 'ainvs': [1, 0, 0, -2196, -29808], 'analytic_rank': 2, 'bad_primes': [2, 3, 79, 211], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 100014, 'degree': 148512, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91143115159226160660511932950', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [1171205436932929, 298640203776], 'lmfdb_iso': '100014.f', 'lmfdb_label': '100014.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2196, -29808], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['400056.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 22, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.27256757379091913145576879661', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91143115159226160660511932950', 'prec': 103}, 'szpiro_ratio': 3.0136899713126013, '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, 1, 1, 1, -1, 1, -2, 1, 1, -1, 0, 1, -4, -2, -1, 1, -8, 1, -1, -1], 'aplist': [1, 1, -1, -2, 0, -4, -8, -1, 0, -6, -9, 5, -8, 6, -10, -12, -12, -10, 8, 12, -1, 1, -8, 9, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 100014, 'isogeny_matrix': [[1]], 'lmfdb_iso': '100014.f', 'trace_hash': 1942889923289940139}
• 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': '0.16156264719883127485888841297', 'prec': 103}, 'conductor': 100014, 'gens': [[-24, 108, 1], [72, 396, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.54179244219585479895471290631', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.56506090150748792233627997869', 'prec': 103}], 'lmfdb_label': '100014.f1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.71052330874139470079434253954', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '17.623570909083968597805224552389373437', 'prec': 130}, 'tamagawa_product': 91, 'torsion_generators': [], 'xcoord_integral_points': [-36, -24, -18, -16, 54, 72, 96, 216, 312, 744, 2484]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [3, 0], '5': [2, 0], '7': [2, 0], '11': [2, 2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 0], '37': [4, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0], '79': [3, 0], '211': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '100014.f1'}
• ec_torsion_growth •

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

  
  
  • id: 4641142
    {'degree': 3, 'field': [-354, -182, -1, 1], 'lmfdb_label': '100014.f1', 'torsion': [2]}
  • id: 4641143
    {'degree': 6, 'field': [-416184, 129768, 24514, -5504, -687, -2, 1], 'lmfdb_label': '100014.f1', 'torsion': [2, 2]}
  • id: 4641144
    {'degree': 8, 'field': [-145938, -23748, 22398, 2699, -1346, -7, 7, -4, 1], 'lmfdb_label': '100014.f1', 'torsion': [3]}
  • id: 4641145
    {'degree': 12, 'field': [1239411604, 2907454592, -5723937694, 2910729576, -402707672, -33220208, 25793011, -309932, -112871, 1368, -175, -4, 1], 'lmfdb_label': '100014.f1', '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: 2453879
    {'conductor': 100014, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '100014.f1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 13}
  • id: 2453880
    {'conductor': 100014, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '100014.f1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 2453881
    {'conductor': 100014, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100014.f1', 'prime': 79, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2453882
    {'conductor': 100014, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100014.f1', 'prime': 211, '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

  
  {'adelic_gens': [[1, 1, 400055, 0], [100015, 2, 100015, 3], [400055, 2, 400054, 3], [266705, 2, 266705, 3], [132721, 2, 132721, 3], [1, 0, 2, 1], [1, 2, 0, 1], [101281, 2, 101281, 3], [200029, 2, 200029, 3]], 'adelic_image': '400056.2.0.?', 'conductor': 100014, 'lmfdb_label': '100014.f1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 5202238
    {'lmfdb_iso': '100014.f', 'p': 5, 'prec': 20, 'unit': 17221569116836, 'val': 2}
  • id: 5202239
    {'lmfdb_iso': '100014.f', 'p': 7, 'prec': 20, 'unit': 6826921802853121, 'val': 1}
  • id: 5202244
    {'lmfdb_iso': '100014.f', 'p': 13, 'prec': 20, 'unit': 43948512513505916190, 'val': 1}
  • id: 5202246
    {'lmfdb_iso': '100014.f', 'p': 17, 'prec': 20, 'unit': 227696233780730422890656, 'val': 2}
  • id: 5202247
    {'lmfdb_iso': '100014.f', 'p': 19, 'prec': 20, 'unit': 1343721155191050309078825, 'val': 2}
  • id: 5202243
    {'lmfdb_iso': '100014.f', 'p': 29, 'prec': 20, 'unit': 5156758374830800070782263634, 'val': 2}
  • id: 5202240
    {'lmfdb_iso': '100014.f', 'p': 31, 'prec': 20, 'unit': 3259737961738370009041114173, 'val': 2}
  • id: 5202254
    {'lmfdb_iso': '100014.f', 'p': 37, 'prec': 20, 'unit': 3586136490291690342350976054, 'val': 3}
  • id: 5202241
    {'lmfdb_iso': '100014.f', 'p': 41, 'prec': 20, 'unit': 329274120687235154170874259106, 'val': 2}
  • id: 5202242
    {'lmfdb_iso': '100014.f', 'p': 43, 'prec': 20, 'unit': 245292426376048877340418299785, 'val': 2}
  • id: 5202245
    {'lmfdb_iso': '100014.f', 'p': 47, 'prec': 20, 'unit': 39009009450494249378199942148085, 'val': 2}
  • id: 5202248
    {'lmfdb_iso': '100014.f', 'p': 53, 'prec': 20, 'unit': 253682495665363083867404868132544, 'val': 2}
  • id: 5202252
    {'lmfdb_iso': '100014.f', 'p': 59, 'prec': 20, 'unit': 2407041964545818752955063158566477, 'val': 2}
  • id: 5202253
    {'lmfdb_iso': '100014.f', 'p': 61, 'prec': 20, 'unit': 7393100711274791603328917650230594, 'val': 2}
  • id: 5202237
    {'lmfdb_iso': '100014.f', 'p': 67, 'prec': 20, 'unit': 4715563905354177620072741511690449, 'val': 2}
  • id: 5202251
    {'lmfdb_iso': '100014.f', 'p': 71, 'prec': 20, 'unit': 107580925089818565523338250966702944, 'val': 2}
  • id: 5202249
    {'lmfdb_iso': '100014.f', 'p': 73, 'prec': 20, 'unit': 207367932037395510908159658098622359, 'val': 2}
  • id: 5202236
    {'lmfdb_iso': '100014.f', 'p': 83, 'prec': 20, 'unit': 2508654265182085618888771966405607362, 'val': 2}
  • id: 5202250
    {'lmfdb_iso': '100014.f', 'p': 89, 'prec': 20, 'unit': 7999449554486824668715669842942313289, 'val': 2}
  • id: 5202235
    {'lmfdb_iso': '100014.f', 'p': 97, 'prec': 20, 'unit': 52393098041025644797361837305232118593, 'val': 2}