Elliptic curve data - 119952.en1

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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': '119952ci', 'Clabel': '119952ci1', 'Cnumber': 1, 'abc_quality': 0.9312386842610948, 'absD': 3170946143748096, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2856, 'ainvs': [0, 0, 0, -41307, 4216842], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 119952, 'degree': 405504, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6828758968303265968438611464', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 117, 'isogeny_degrees': [1], 'jinv': [-599077107, 243712], 'lmfdb_iso': '119952.en', 'lmfdb_label': '119952.en1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -474, -5068], 'min_quad_twist_disc': -84, 'modell_images': [], 'modm_images': ['2856.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4436100273706788677368465342', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2499], [3, 6, 13328], [7, 32, 2448], [17, 18, 7056]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25787943042430278797485865601', 'prec': 107}, 'szpiro_ratio': 3.765106109230696, '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, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, -1, 0, -2, 0], 'aplist': [0, 0, 1, 0, 1, 3, -1, -2, 4, 0, 2, -7, 0, 11, 10, -9, -4, -4, 13, -8, 1, 1, -9, 3, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 119952, 'isogeny_matrix': [[1]], 'lmfdb_iso': '119952.en', 'trace_hash': 1638596945130517648}
• 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': '0.034536042378057067296600120594', 'prec': 107}, 'conductor': 119952, 'gens': [[231, 2646, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4436100273706788677368465342', 'prec': 100}], 'lmfdb_label': '119952.en1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42076684511875885912653490533', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2255206553385962534920620982990011261', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [231]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [5, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '119952.en1'}
• ec_torsion_growth •

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

  
  
  • id: 5484925
    {'degree': 3, 'field': [-21, 9, -1, 1], 'lmfdb_label': '119952.en1', 'torsion': [2]}
  • id: 5484926
    {'degree': 6, 'field': [2478, 1008, 739, -84, 10, 0, 1], 'lmfdb_label': '119952.en1', 'torsion': [2, 2]}
  • id: 5484927
    {'degree': 8, 'field': [-7203, 0, -11256, 0, 1638, 0, -84, 0, 1], 'lmfdb_label': '119952.en1', 'torsion': [3]}
  • id: 5484928
    {'degree': 12, 'field': [-199788224, 68412609, -8754975, -7956179, 2649945, 104424, -102816, 12552, -384, -95, 57, -3, 1], 'lmfdb_label': '119952.en1', '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: 2952077
    {'conductor': 119952, 'conductor_valuation': 4, 'discriminant_valuation': 23, 'j_denominator_valuation': 11, 'kodaira_symbol': -19, 'lmfdb_label': '119952.en1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2952078
    {'conductor': 119952, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '119952.en1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2952079
    {'conductor': 119952, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '119952.en1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2952080
    {'conductor': 119952, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '119952.en1', 'prime': 17, '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': [[2143, 2, 2143, 3], [2855, 2, 2854, 3], [1429, 2, 1429, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 2855, 0], [409, 2, 409, 3], [953, 2, 953, 3], [2689, 2, 2689, 3]], 'adelic_image': '2856.2.0.?', 'conductor': 119952, 'lmfdb_label': '119952.en1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 6269012
    {'lmfdb_iso': '119952.en', 'p': 5, 'prec': 20, 'unit': 25786307519043, 'val': 0}
  • id: 6269011
    {'lmfdb_iso': '119952.en', 'p': 11, 'prec': 20, 'unit': 451094991076144580171, 'val': -1}
  • id: 6269017
    {'lmfdb_iso': '119952.en', 'p': 13, 'prec': 20, 'unit': 1365266346963549297801, 'val': 1}
  • id: 6269020
    {'lmfdb_iso': '119952.en', 'p': 19, 'prec': 20, 'unit': 1219686766743300035573750, 'val': 1}
  • id: 6269022
    {'lmfdb_iso': '119952.en', 'p': 23, 'prec': 20, 'unit': 24357351385603076744716469, 'val': 1}
  • id: 6269014
    {'lmfdb_iso': '119952.en', 'p': 31, 'prec': 20, 'unit': 5663602631570234350169385802, 'val': 1}
  • id: 6269027
    {'lmfdb_iso': '119952.en', 'p': 37, 'prec': 20, 'unit': 289290564030790777454284315543, 'val': 1}
  • id: 6269016
    {'lmfdb_iso': '119952.en', 'p': 43, 'prec': 20, 'unit': 9863031382038837173915257111055, 'val': 1}
  • id: 6269025
    {'lmfdb_iso': '119952.en', 'p': 47, 'prec': 20, 'unit': 5920134521646889569977269188528, 'val': 1}
  • id: 6269021
    {'lmfdb_iso': '119952.en', 'p': 53, 'prec': 20, 'unit': 30603798630502601860798151420513, 'val': 1}
  • id: 6269019
    {'lmfdb_iso': '119952.en', 'p': 59, 'prec': 20, 'unit': 1000165821077668989536050586850790, 'val': 1}
  • id: 6269026
    {'lmfdb_iso': '119952.en', 'p': 61, 'prec': 20, 'unit': 7911273415447471120388008881923901, 'val': 1}
  • id: 6269010
    {'lmfdb_iso': '119952.en', 'p': 67, 'prec': 20, 'unit': 46344089121936747591797331037693859, 'val': 1}
  • id: 6269013
    {'lmfdb_iso': '119952.en', 'p': 71, 'prec': 20, 'unit': 125377834416134097296567306910276264, 'val': 1}
  • id: 6269015
    {'lmfdb_iso': '119952.en', 'p': 73, 'prec': 20, 'unit': 435471348541800858275060377581325806, 'val': -1}
  • id: 6269018
    {'lmfdb_iso': '119952.en', 'p': 79, 'prec': 20, 'unit': 31062303668650445316018159058911223738, 'val': -1}
  • id: 6269023
    {'lmfdb_iso': '119952.en', 'p': 83, 'prec': 20, 'unit': 2091674750379895383209681920700459195, 'val': 1}
  • id: 6269024
    {'lmfdb_iso': '119952.en', 'p': 89, 'prec': 20, 'unit': 4727672484259066816328098209184610845, 'val': 1}
  • id: 6269009
    {'lmfdb_iso': '119952.en', 'p': 97, 'prec': 20, 'unit': 46497894146178212583151734683223936858, 'val': 1}