Elliptic curve data - 52272.p1

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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': '52272z', 'Clabel': '52272z1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 833427329328, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 0, -7986, 278179], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 52272, 'degree': 63360, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0911892300032735475822051791', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1], 'jinv': [-67584, 1], 'lmfdb_iso': '52272.p', 'lmfdb_label': '52272.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -66, 209], 'min_quad_twist_disc': 44, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0372914176580633881326083883', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3267], [3, 8, 88], [11, 52, 432]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1962117989940009563461867621', 'prec': 103}, 'szpiro_ratio': 3.5525053260039767, '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, -3, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, -2, -3, 0, 5, 0, 0, 4, -2, -3, 2, 6, -4, 2, -12, 6, 2, 11, 6, 1, -1, -6, 2, -11], 'class_deg': 1, 'class_size': 1, 'conductor': 52272, 'isogeny_matrix': [[1]], 'lmfdb_iso': '52272.p', 'trace_hash': 811235968424754956}
• 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': '0.11277298536943452810744759474', 'prec': 103}, 'conductor': 52272, 'gens': [[201, 491, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.0372914176580633881326083883', 'prec': 100}], 'lmfdb_label': '52272.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.89398419129852340200237973560', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5032588943500362835431242878268599306', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• 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, 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.p1'}
• ec_torsion_growth •

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

  
  
  • id: 2530644
    {'degree': 3, 'field': [-11, 0, 0, 1], 'lmfdb_label': '52272.p1', 'torsion': [2]}
  • id: 2530645
    {'degree': 6, 'field': [144, -36, -27, 15, 6, -3, 1], 'lmfdb_label': '52272.p1', 'torsion': [2, 2]}
  • id: 2530646
    {'degree': 8, 'field': [-108, 0, -60, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '52272.p1', 'torsion': [3]}
  • id: 2530647
    {'degree': 12, 'field': [382, 270, -1719, -1406, 1743, 2136, 495, -162, -123, -26, 3, 0, 1], 'lmfdb_label': '52272.p1', '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: 1251866
    {'conductor': 52272, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '52272.p1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1251867
    {'conductor': 52272, 'conductor_valuation': 3, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '52272.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1251868
    {'conductor': 52272, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '52272.p1', 'prime': 11, 'reduction_type': 0, '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': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 52272, 'lmfdb_label': '52272.p1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2632486
    {'lmfdb_iso': '52272.p', 'p': 5, 'prec': 20, 'unit': 11814819335854, 'val': 1}
  • id: 2632487
    {'lmfdb_iso': '52272.p', 'p': 7, 'prec': 20, 'unit': 1703390782649086, 'val': 1}
  • id: 2632492
    {'lmfdb_iso': '52272.p', 'p': 13, 'prec': 20, 'unit': 482261836170528157411, 'val': 1}
  • id: 2632498
    {'lmfdb_iso': '52272.p', 'p': 23, 'prec': 20, 'unit': 36769905890456803365809275, 'val': 1}
  • id: 2632491
    {'lmfdb_iso': '52272.p', 'p': 29, 'prec': 20, 'unit': 4921667724989356177684367964, 'val': 1}
  • id: 2632488
    {'lmfdb_iso': '52272.p', 'p': 31, 'prec': 20, 'unit': 12090936597320776515270681725, 'val': 1}
  • id: 2632503
    {'lmfdb_iso': '52272.p', 'p': 37, 'prec': 20, 'unit': 581227763621623617449365788449, 'val': 1}
  • id: 2632489
    {'lmfdb_iso': '52272.p', 'p': 41, 'prec': 20, 'unit': 2869940779984655843507965968018, 'val': 1}
  • id: 2632490
    {'lmfdb_iso': '52272.p', 'p': 43, 'prec': 20, 'unit': 344302944920065638833606676898, 'val': 1}
  • id: 2632501
    {'lmfdb_iso': '52272.p', 'p': 47, 'prec': 20, 'unit': 25597102881242390172914107813302, 'val': 1}
  • id: 2632496
    {'lmfdb_iso': '52272.p', 'p': 53, 'prec': 20, 'unit': 388002953990755267680314174000468, 'val': 1}
  • id: 2632494
    {'lmfdb_iso': '52272.p', 'p': 59, 'prec': 20, 'unit': 250777784370810718123249164074558, 'val': 1}
  • id: 2632502
    {'lmfdb_iso': '52272.p', 'p': 61, 'prec': 20, 'unit': 1441500451180502735397727771549743, 'val': 1}
  • id: 2632485
    {'lmfdb_iso': '52272.p', 'p': 67, 'prec': 20, 'unit': 9286279919550557709359108387740458, 'val': 1}
  • id: 2632500
    {'lmfdb_iso': '52272.p', 'p': 71, 'prec': 20, 'unit': 32990930612822361649298410630289162, 'val': 1}
  • id: 2632497
    {'lmfdb_iso': '52272.p', 'p': 73, 'prec': 20, 'unit': 6933843162789038742317471126318922892, 'val': -1}
  • id: 2632493
    {'lmfdb_iso': '52272.p', 'p': 79, 'prec': 20, 'unit': 804314871532701102342716916144871527, 'val': 1}
  • id: 2632495
    {'lmfdb_iso': '52272.p', 'p': 83, 'prec': 20, 'unit': 2691789099502499385773403025177475213, 'val': 1}
  • id: 2632499
    {'lmfdb_iso': '52272.p', 'p': 89, 'prec': 20, 'unit': 1282865146740810003143882045120016973, 'val': 1}
  • id: 2632484
    {'lmfdb_iso': '52272.p', 'p': 97, 'prec': 20, 'unit': 46359276763850871797535643899719677635, 'val': 1}