Elliptic curve data - 52272.t1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '52272bz', 'Clabel': '52272bz1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 17281949100945408, 'adelic_genus': 0, 'adelic_index': 6, 'adelic_level': 6, 'ainvs': [0, 0, 0, -107811, 15021666], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 52272, 'degree': 304128, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8500454806992284373663406109', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1], 'jinv': [-8019, 1], 'lmfdb_iso': '52272.t', 'lmfdb_label': '52272.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -56, 190], 'min_quad_twist_disc': 44, 'modell_images': [], 'modm_images': ['6.6.0.b.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.99381052346941053522198039435', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 3267], [3, 2, 88], [11, 52, 432]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2656577648940461699719544902', 'prec': 103}, 'szpiro_ratio': 4.286839768069985, '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, -2, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0], 'aplist': [0, 0, -2, -1, 0, 1, 4, 0, -8, -6, -1, -6, -2, 12, -2, 12, 10, -6, 13, 6, 1, -11, 18, 6, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 52272, 'isogeny_matrix': [[1]], 'lmfdb_iso': '52272.t', 'trace_hash': 640298441439052023}
• 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': '0.024721277686074694876202802704', 'prec': 107}, 'conductor': 52272, 'gens': [[121, 1936, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.99381052346941053522198039435', 'prec': 103}], 'lmfdb_label': '52272.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37793474919260221911661116357', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5071463711885647041046912260035275965', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [121]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 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': '52272.t1'}
• ec_torsion_growth •

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

  
  
  • id: 2530894
    {'degree': 3, 'field': [-11, 0, 0, 1], 'lmfdb_label': '52272.t1', 'torsion': [2]}
  • id: 2530895
    {'degree': 6, 'field': [144, -36, -27, 15, 6, -3, 1], 'lmfdb_label': '52272.t1', 'torsion': [2, 2]}
  • id: 2530896
    {'degree': 8, 'field': [-3, 0, -19, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '52272.t1', 'torsion': [3]}
  • id: 2530897
    {'degree': 12, 'field': [40, 333, 813, -433, 951, -756, 768, -168, -36, 35, -9, -3, 1], 'lmfdb_label': '52272.t1', '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: 1251968
    {'conductor': 52272, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '52272.t1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1251969
    {'conductor': 52272, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '52272.t1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1251970
    {'conductor': 52272, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '52272.t1', 'prime': 11, 'reduction_type': 0, '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

  
  {'adelic_gens': [[0, 5, 1, 5], [3, 2, 5, 5]], 'adelic_image': '6.6.0.?', 'conductor': 52272, 'lmfdb_label': '52272.t1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2632949
    {'lmfdb_iso': '52272.t', 'p': 5, 'prec': 20, 'unit': 15224573561427, 'val': 1}
  • id: 2632950
    {'lmfdb_iso': '52272.t', 'p': 7, 'prec': 20, 'unit': 273379271898394, 'val': 1}
  • id: 2632955
    {'lmfdb_iso': '52272.t', 'p': 13, 'prec': 20, 'unit': 18822527791716591690768, 'val': -1}
  • id: 2632957
    {'lmfdb_iso': '52272.t', 'p': 17, 'prec': 20, 'unit': 189896830055907785365017, 'val': 1}
  • id: 2632962
    {'lmfdb_iso': '52272.t', 'p': 23, 'prec': 20, 'unit': 70541637469987087721518773, 'val': 1}
  • id: 2632954
    {'lmfdb_iso': '52272.t', 'p': 29, 'prec': 20, 'unit': 5114571937738009589186249778, 'val': 1}
  • id: 2632951
    {'lmfdb_iso': '52272.t', 'p': 31, 'prec': 20, 'unit': 19603601443030610759142182545, 'val': 1}
  • id: 2632967
    {'lmfdb_iso': '52272.t', 'p': 37, 'prec': 20, 'unit': 336896349503161668201680943839, 'val': 1}
  • id: 2632952
    {'lmfdb_iso': '52272.t', 'p': 41, 'prec': 20, 'unit': 384096191430133414652580716501, 'val': 1}
  • id: 2632953
    {'lmfdb_iso': '52272.t', 'p': 43, 'prec': 20, 'unit': 7775898839793293985384182774341, 'val': 1}
  • id: 2632965
    {'lmfdb_iso': '52272.t', 'p': 47, 'prec': 20, 'unit': 4077097403413418793025818755769, 'val': 1}
  • id: 2632959
    {'lmfdb_iso': '52272.t', 'p': 53, 'prec': 20, 'unit': 202586656135351691568854963140644, 'val': 1}
  • id: 2632960
    {'lmfdb_iso': '52272.t', 'p': 59, 'prec': 20, 'unit': 49573911397647314979905965857190, 'val': 1}
  • id: 2632966
    {'lmfdb_iso': '52272.t', 'p': 61, 'prec': 20, 'unit': 2758094157690238073832945789791029, 'val': 1}
  • id: 2632948
    {'lmfdb_iso': '52272.t', 'p': 67, 'prec': 20, 'unit': 6418649913479636006239579264605807, 'val': 1}
  • id: 2632964
    {'lmfdb_iso': '52272.t', 'p': 71, 'prec': 20, 'unit': 18393545726101861204464594720890796, 'val': 1}
  • id: 2632961
    {'lmfdb_iso': '52272.t', 'p': 73, 'prec': 20, 'unit': 5470449587017113973094269622238286525, 'val': -1}
  • id: 2632956
    {'lmfdb_iso': '52272.t', 'p': 79, 'prec': 20, 'unit': 100271326233670616041898623489012409, 'val': 1}
  • id: 2632958
    {'lmfdb_iso': '52272.t', 'p': 83, 'prec': 20, 'unit': 260351848210632942764568404670856219, 'val': 1}
  • id: 2632963
    {'lmfdb_iso': '52272.t', 'p': 89, 'prec': 20, 'unit': 845550224111105636511091550588472253, 'val': 1}
  • id: 2632947
    {'lmfdb_iso': '52272.t', 'p': 97, 'prec': 20, 'unit': 17490145898583707048491895738302950908, 'val': 1}