Elliptic curve data - 127050.ft1

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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': '127050fa', 'Clabel': '127050fa1', 'Cnumber': 1, 'abc_quality': 0.9256260260275716, 'absD': 1356041367450, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 168, 'ainvs': [1, 1, 1, -3693, 101421], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 127050, 'degree': 235200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0463940686889075479695132896', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 149, 'isogeny_degrees': [1], 'jinv': [-125768785, 30618], 'lmfdb_iso': '127050.ft', 'lmfdb_label': '127050.ft1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -30, -90], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['168.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0292847490224918806068600267', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 63525], [3, 4, 42350], [5, 10, 5082], [7, 8, 6050], [11, 62, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42079321978262778649491838825', 'prec': 107}, 'szpiro_ratio': 3.1148986908346767, '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, 0, -1, -1, 1, 1, 0, 0, -1, 1, -1, 0, 1, -1, 1, -4, 0], 'aplist': [1, -1, 0, -1, 0, 1, -1, -4, -7, -1, 3, 6, 3, -1, 12, -11, -3, -5, 12, 4, -14, 2, -3, 10, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 127050, 'isogeny_matrix': [[1]], 'lmfdb_iso': '127050.ft', 'trace_hash': 2106638512711263286}
• 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': '0.12334275939840045327303808209', 'prec': 103}, 'conductor': 127050, 'gens': [[-1059, 17937, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '5.0292847490224918806068600267', 'prec': 100}], 'lmfdb_label': '127050.ft1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.81595106524908835613743795352', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2073004968117924592322399964162674937', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': 'a', '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, 0]}, 'iwp0': 0, 'lmfdb_label': '127050.ft1'}
• ec_torsion_growth •

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

  
  
  • id: 5783584
    {'degree': 3, 'field': [-38, 2, -1, 1], 'lmfdb_label': '127050.ft1', 'torsion': [2]}
  • id: 5783585
    {'degree': 6, 'field': [672, 0, 352, 0, 34, 0, 1], 'lmfdb_label': '127050.ft1', 'torsion': [2, 2]}
  • id: 5783586
    {'degree': 8, 'field': [7430, -11290, 2390, -25, 530, -175, 1, -2, 1], 'lmfdb_label': '127050.ft1', 'torsion': [3]}
  • id: 5783587
    {'degree': 12, 'field': [608244244, 1106555004, -41795132, -204242330, 7129065, 22963344, 2969824, -198492, -20210, 5060, 348, -2, 1], 'lmfdb_label': '127050.ft1', '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: 3131239
    {'conductor': 127050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '127050.ft1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3131240
    {'conductor': 127050, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '127050.ft1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3131241
    {'conductor': 127050, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '127050.ft1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3131242
    {'conductor': 127050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '127050.ft1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3131243
    {'conductor': 127050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '127050.ft1', 'prime': 11, 'reduction_type': 0, '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

  
  {'adelic_gens': [[1, 1, 167, 0], [1, 2, 0, 1], [113, 2, 113, 3], [1, 0, 2, 1], [127, 2, 127, 3], [85, 2, 85, 3], [167, 2, 166, 3], [73, 2, 73, 3]], 'adelic_image': '168.2.0.?', 'conductor': 127050, 'lmfdb_label': '127050.ft1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 6657275
    {'lmfdb_iso': '127050.ft', 'p': 13, 'prec': 20, 'unit': 7283799084546288868437, 'val': -1}
  • id: 6657277
    {'lmfdb_iso': '127050.ft', 'p': 17, 'prec': 20, 'unit': 136380663492149507436243, 'val': 1}
  • id: 6657278
    {'lmfdb_iso': '127050.ft', 'p': 19, 'prec': 20, 'unit': 228300704726551027006931, 'val': 1}
  • id: 6657282
    {'lmfdb_iso': '127050.ft', 'p': 23, 'prec': 20, 'unit': 30031349914329146355628190, 'val': 1}
  • id: 6657274
    {'lmfdb_iso': '127050.ft', 'p': 29, 'prec': 20, 'unit': 1604885697600169354689425908, 'val': 1}
  • id: 6657286
    {'lmfdb_iso': '127050.ft', 'p': 31, 'prec': 20, 'unit': 9026244739420143394044739122, 'val': 1}
  • id: 6657270
    {'lmfdb_iso': '127050.ft', 'p': 37, 'prec': 20, 'unit': 199137400990940934160911681456, 'val': 1}
  • id: 6657272
    {'lmfdb_iso': '127050.ft', 'p': 41, 'prec': 20, 'unit': 3373721017148244880714336395209, 'val': 1}
  • id: 6657273
    {'lmfdb_iso': '127050.ft', 'p': 43, 'prec': 20, 'unit': 9920328310552498641483119541447, 'val': 1}
  • id: 6657284
    {'lmfdb_iso': '127050.ft', 'p': 47, 'prec': 20, 'unit': 21990898087809303102635864357812, 'val': 1}
  • id: 6657279
    {'lmfdb_iso': '127050.ft', 'p': 53, 'prec': 20, 'unit': 133090861475777654468830449392917, 'val': 1}
  • id: 6657280
    {'lmfdb_iso': '127050.ft', 'p': 59, 'prec': 20, 'unit': 1778491254924668724957854699265141, 'val': 1}
  • id: 6657285
    {'lmfdb_iso': '127050.ft', 'p': 61, 'prec': 20, 'unit': 4273925551230908654553618660296390, 'val': 1}
  • id: 6657269
    {'lmfdb_iso': '127050.ft', 'p': 67, 'prec': 20, 'unit': 34847920428713689051397870066636579, 'val': 1}
  • id: 6657271
    {'lmfdb_iso': '127050.ft', 'p': 71, 'prec': 20, 'unit': 145965271417465230624334999951444854, 'val': 1}
  • id: 6657281
    {'lmfdb_iso': '127050.ft', 'p': 73, 'prec': 20, 'unit': 234581048526271916248260613719693867, 'val': 1}
  • id: 6657276
    {'lmfdb_iso': '127050.ft', 'p': 79, 'prec': 20, 'unit': 253213940346319488933305395190981576, 'val': 1}
  • id: 6657268
    {'lmfdb_iso': '127050.ft', 'p': 83, 'prec': 20, 'unit': 1027738146994056908015288965824448116, 'val': 1}
  • id: 6657283
    {'lmfdb_iso': '127050.ft', 'p': 89, 'prec': 20, 'unit': 6846238267894378840954486429822558813, 'val': 1}
  • id: 6657267
    {'lmfdb_iso': '127050.ft', 'p': 97, 'prec': 20, 'unit': 37705895570203676913708945793092386408, 'val': 1}