Elliptic curve data - 52272.o1

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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': '52272cc', 'Clabel': '52272cc1', 'Cnumber': 1, 'abc_quality': 0.8215081654795845, 'absD': 1571086281904128, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 132, 'ainvs': [0, 0, 0, 22869, -1365606], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 52272, 'degree': 276480, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6021193237047843875393247504', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1], 'jinv': [9261, 11], 'lmfdb_iso': '52272.o', 'lmfdb_label': '52272.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 1, 0], 'min_quad_twist_disc': -132, 'modell_images': [], 'modm_images': ['132.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4933252117437250034986716966', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3267], [3, 2, 88], [11, 72, 432]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1139347097554284624553130877', 'prec': 103}, 'szpiro_ratio': 3.8454098032648507, '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, -5, 0, 0, 0, 0, 0, 2, 0, 0, 0, -7, 0, 0, 0], 'aplist': [0, 0, -2, -5, 0, 2, -7, 0, 1, -3, 8, -3, 11, -9, 1, -12, -5, -6, 4, 0, -4, 5, -6, -6, 11], 'class_deg': 1, 'class_size': 1, 'conductor': 52272, 'isogeny_matrix': [[1]], 'lmfdb_iso': '52272.o', 'trace_hash': 123601490620347042}
• 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': '0.040589793020824038753475199109', 'prec': 107}, 'conductor': 52272, 'gens': [[55, 242, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4933252117437250034986716966', 'prec': 100}], 'lmfdb_label': '52272.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25544931151087890498241400133', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0517511776141760774037922362740288304', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [55, 4246]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 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.o1'}
• ec_torsion_growth •

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

  
  
  • id: 2530906
    {'degree': 3, 'field': [-12, 6, 0, 1], 'lmfdb_label': '52272.o1', 'torsion': [2]}
  • id: 2530907
    {'degree': 6, 'field': [33, 0, 15, 0, 15, 0, 1], 'lmfdb_label': '52272.o1', 'torsion': [2, 2]}
  • id: 2530908
    {'degree': 8, 'field': [-363, 0, 209, 0, -66, 0, 0, 0, 1], 'lmfdb_label': '52272.o1', 'torsion': [3]}
  • id: 2530909
    {'degree': 12, 'field': [7320, 1044, 4572, 222, 1230, 348, -60, 75, -57, 0, 0, -3, 1], 'lmfdb_label': '52272.o1', '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: 1251977
    {'conductor': 52272, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '52272.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1251978
    {'conductor': 52272, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '52272.o1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1251979
    {'conductor': 52272, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '52272.o1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• 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': [[89, 2, 89, 3], [1, 2, 0, 1], [67, 2, 67, 3], [1, 0, 2, 1], [131, 2, 130, 3], [13, 2, 13, 3], [1, 1, 131, 0]], 'adelic_image': '132.2.0.?', 'conductor': 52272, 'lmfdb_label': '52272.o1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2633010
    {'lmfdb_iso': '52272.o', 'p': 5, 'prec': 20, 'unit': 548181583976, 'val': 2}
  • id: 2633011
    {'lmfdb_iso': '52272.o', 'p': 7, 'prec': 20, 'unit': 2435594274325231, 'val': 1}
  • id: 2633016
    {'lmfdb_iso': '52272.o', 'p': 13, 'prec': 20, 'unit': 369670498933330866283, 'val': 1}
  • id: 2633018
    {'lmfdb_iso': '52272.o', 'p': 17, 'prec': 20, 'unit': 236369962523536632347920, 'val': 1}
  • id: 2633023
    {'lmfdb_iso': '52272.o', 'p': 23, 'prec': 20, 'unit': 871464997962020835690539049, 'val': -1}
  • id: 2633015
    {'lmfdb_iso': '52272.o', 'p': 29, 'prec': 20, 'unit': 5500169617427983678611852281, 'val': 1}
  • id: 2633012
    {'lmfdb_iso': '52272.o', 'p': 31, 'prec': 20, 'unit': 16780356467103780721368179898, 'val': 1}
  • id: 2633027
    {'lmfdb_iso': '52272.o', 'p': 37, 'prec': 20, 'unit': 436449394332452933888914684625, 'val': 1}
  • id: 2633013
    {'lmfdb_iso': '52272.o', 'p': 41, 'prec': 20, 'unit': 2054769995355612701586612443127, 'val': 1}
  • id: 2633014
    {'lmfdb_iso': '52272.o', 'p': 43, 'prec': 20, 'unit': 1547345774538366162198622657581, 'val': 1}
  • id: 2633025
    {'lmfdb_iso': '52272.o', 'p': 47, 'prec': 20, 'unit': 232293859470642068336261050888401, 'val': -1}
  • id: 2633020
    {'lmfdb_iso': '52272.o', 'p': 53, 'prec': 20, 'unit': 84063627578328860366479759150298, 'val': 1}
  • id: 2633021
    {'lmfdb_iso': '52272.o', 'p': 59, 'prec': 20, 'unit': 2415171784705661468134769835446740, 'val': 1}
  • id: 2633026
    {'lmfdb_iso': '52272.o', 'p': 61, 'prec': 20, 'unit': 4253913646703379731563232453889849, 'val': 1}
  • id: 2633009
    {'lmfdb_iso': '52272.o', 'p': 67, 'prec': 20, 'unit': 27733553075831750848533422401892312, 'val': 1}
  • id: 2633022
    {'lmfdb_iso': '52272.o', 'p': 73, 'prec': 20, 'unit': 51976523954551467768238697577545935, 'val': 1}
  • id: 2633017
    {'lmfdb_iso': '52272.o', 'p': 79, 'prec': 20, 'unit': 662513052430493891882973103231315488, 'val': 1}
  • id: 2633019
    {'lmfdb_iso': '52272.o', 'p': 83, 'prec': 20, 'unit': 2389610419218435554228162742485889483, 'val': 1}
  • id: 2633024
    {'lmfdb_iso': '52272.o', 'p': 89, 'prec': 20, 'unit': 6961154907637177989993893219576669144, 'val': 1}
  • id: 2633008
    {'lmfdb_iso': '52272.o', 'p': 97, 'prec': 20, 'unit': 5957620726137463534657409772718448843, 'val': 1}