Elliptic curve data - 52272.l1

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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': '52272bc', 'Clabel': '52272bc1', 'Cnumber': 1, 'abc_quality': 1.0575476948472047, 'absD': 590190188544, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 24, 'ainvs': [0, 0, 0, -55539, 5037714], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 52272, 'degree': 120960, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3551681064419579402859371753', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [32101542, 1], 'lmfdb_iso': '52272.l', 'lmfdb_label': '52272.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -55539, -5037714], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['24.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0040615119769244557319016801', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3267], [3, 2, 88], [11, 52, 432]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90347444983853104324694072305', 'prec': 107}, 'szpiro_ratio': 4.085718173576403, '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, -3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], 'aplist': [0, 0, -3, 2, 0, 0, 0, 5, -4, 7, -8, 2, 4, -9, 8, 2, 4, -8, -4, 9, 1, 4, -4, -12, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 52272, 'isogeny_matrix': [[1]], 'lmfdb_iso': '52272.l', 'trace_hash': 785855769753589237}
• 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': '0.066514439943553703322221215417', 'prec': 107}, 'conductor': 52272, 'gens': [[135, 18, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0040615119769244557319016801', 'prec': 100}], 'lmfdb_label': '52272.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.85550997471926487972770074475', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1539078323677930742467557207074674152', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [135, 306]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': [3, 0], '11': 'a', '13': [3, 1, 0], '17': [1, 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': '52272.l1'}
• ec_torsion_growth •

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

  
  
  • id: 2530656
    {'degree': 3, 'field': [-66, -33, 0, 1], 'lmfdb_label': '52272.l1', 'torsion': [2]}
  • id: 2530657
    {'degree': 6, 'field': [-6, 0, 93, 0, -24, 0, 1], 'lmfdb_label': '52272.l1', 'torsion': [2, 2]}
  • id: 2530658
    {'degree': 8, 'field': [-75, 0, 72, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '52272.l1', 'torsion': [3]}
  • id: 2530659
    {'degree': 12, 'field': [24576, 0, 21024, 0, 2640, 0, -1104, 0, -264, 0, -6, 0, 1], 'lmfdb_label': '52272.l1', '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: 1251875
    {'conductor': 52272, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '52272.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1251876
    {'conductor': 52272, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '52272.l1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1251877
    {'conductor': 52272, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '52272.l1', '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': [[1, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [23, 2, 22, 3], [7, 2, 7, 3], [1, 1, 23, 0], [13, 2, 13, 3]], 'adelic_image': '24.2.0.?', 'conductor': 52272, 'lmfdb_label': '52272.l1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2632547
    {'lmfdb_iso': '52272.l', 'p': 5, 'prec': 20, 'unit': 2970506317978, 'val': 2}
  • id: 2632548
    {'lmfdb_iso': '52272.l', 'p': 7, 'prec': 20, 'unit': 1251324875445298, 'val': 2}
  • id: 2632544
    {'lmfdb_iso': '52272.l', 'p': 19, 'prec': 20, 'unit': 899278497002290096922820, 'val': 1}
  • id: 2632558
    {'lmfdb_iso': '52272.l', 'p': 23, 'prec': 20, 'unit': 38871104393667509688115735, 'val': 1}
  • id: 2632552
    {'lmfdb_iso': '52272.l', 'p': 29, 'prec': 20, 'unit': 4370388270378055948630856479, 'val': 1}
  • id: 2632549
    {'lmfdb_iso': '52272.l', 'p': 31, 'prec': 20, 'unit': 9350622206775981005861951160, 'val': 1}
  • id: 2632563
    {'lmfdb_iso': '52272.l', 'p': 37, 'prec': 20, 'unit': 533813771756979689108823245038, 'val': 1}
  • id: 2632550
    {'lmfdb_iso': '52272.l', 'p': 41, 'prec': 20, 'unit': 1172071045238437501016685176664, 'val': 1}
  • id: 2632551
    {'lmfdb_iso': '52272.l', 'p': 43, 'prec': 20, 'unit': 4544916030435367073295840231740, 'val': 1}
  • id: 2632561
    {'lmfdb_iso': '52272.l', 'p': 47, 'prec': 20, 'unit': 16181673970179943558991479513466, 'val': 1}
  • id: 2632556
    {'lmfdb_iso': '52272.l', 'p': 53, 'prec': 20, 'unit': 426303760525466049927053368086165, 'val': 1}
  • id: 2632554
    {'lmfdb_iso': '52272.l', 'p': 59, 'prec': 20, 'unit': 456472718811065688196417521849044, 'val': 1}
  • id: 2632562
    {'lmfdb_iso': '52272.l', 'p': 61, 'prec': 20, 'unit': 3531508938603232368383701715785859, 'val': 1}
  • id: 2632546
    {'lmfdb_iso': '52272.l', 'p': 67, 'prec': 20, 'unit': 27499064564638744512099735457115285, 'val': 1}
  • id: 2632560
    {'lmfdb_iso': '52272.l', 'p': 71, 'prec': 20, 'unit': 3849105881546885363992376957677897, 'val': 1}
  • id: 2632557
    {'lmfdb_iso': '52272.l', 'p': 73, 'prec': 20, 'unit': 2286940580179698037816684280486525742, 'val': -1}
  • id: 2632553
    {'lmfdb_iso': '52272.l', 'p': 79, 'prec': 20, 'unit': 126222617801629918985773263226514846, 'val': 1}
  • id: 2632555
    {'lmfdb_iso': '52272.l', 'p': 83, 'prec': 20, 'unit': 2806628954010623948876464049620685516, 'val': 1}
  • id: 2632559
    {'lmfdb_iso': '52272.l', 'p': 89, 'prec': 20, 'unit': 458841229512989683025703096968505549, 'val': 1}
  • id: 2632545
    {'lmfdb_iso': '52272.l', 'p': 97, 'prec': 20, 'unit': 39688148837921393500056077503904380099, 'val': 1}