Elliptic curve data - 52272.v1

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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': '52272bw', 'Clabel': '52272bw1', 'Cnumber': 1, 'abc_quality': 1.088465779635037, 'absD': 1691893429257117892608, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 0, 1010229, 1940020346], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 52272, 'degree': 1520640, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7539984947466184923405903394', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1], 'jinv': [4416621, 65536], 'lmfdb_iso': '52272.v', 'lmfdb_label': '52272.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 522, 22644], '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': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0131469066336030658662994506', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3267], [3, 8, 88], [11, 32, 432]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39514986675701464187628027908', 'prec': 107}, 'szpiro_ratio': 5.18169681450336, '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, 0, -2, -1, 10, 2, 4, -2, -4, -6, -10, -3, 14, 15, -5, -10, 14, -11], 'class_deg': 1, 'class_size': 1, 'conductor': 52272, 'isogeny_matrix': [[1]], 'lmfdb_iso': '52272.v', 'trace_hash': 691459482946380764}
• 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': '0.0040542199008389753180397192536', 'prec': 110}, 'conductor': 52272, 'gens': [[6469, 528384, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0131469066336030658662994506', 'prec': 100}], 'lmfdb_label': '52272.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11092794558515622383187078891', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3420417002114841473262488912370657360', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [6469]}
• 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': [3, 0], '19': [1, 1, 0], '23': [1, 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.v1'}
• ec_torsion_growth •

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

  
  
  • id: 2530882
    {'degree': 3, 'field': [-11, 0, 0, 1], 'lmfdb_label': '52272.v1', 'torsion': [2]}
  • id: 2530883
    {'degree': 6, 'field': [144, -36, -27, 15, 6, -3, 1], 'lmfdb_label': '52272.v1', 'torsion': [2, 2]}
  • id: 2530884
    {'degree': 8, 'field': [-1452, 0, -4224, 0, -396, 0, -11, 0, 1], 'lmfdb_label': '52272.v1', 'torsion': [3]}
  • id: 2530885
    {'degree': 12, 'field': [-512, 19200, -7680, -11240, 12036, -3816, -192, 768, -300, 28, 12, -6, 1], 'lmfdb_label': '52272.v1', '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: 1251959
    {'conductor': 52272, 'conductor_valuation': 4, 'discriminant_valuation': 28, 'j_denominator_valuation': 16, 'kodaira_symbol': -24, 'lmfdb_label': '52272.v1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1251960
    {'conductor': 52272, 'conductor_valuation': 3, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '52272.v1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 1251961
    {'conductor': 52272, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '52272.v1', '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.v1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2632846
    {'lmfdb_iso': '52272.v', 'p': 5, 'prec': 20, 'unit': 4727048999862, 'val': 1}
  • id: 2632847
    {'lmfdb_iso': '52272.v', 'p': 7, 'prec': 20, 'unit': 21870210827038954, 'val': -1}
  • id: 2632852
    {'lmfdb_iso': '52272.v', 'p': 13, 'prec': 20, 'unit': 481274095374287696619, 'val': 1}
  • id: 2632854
    {'lmfdb_iso': '52272.v', 'p': 17, 'prec': 20, 'unit': 501681088295108035866, 'val': 3}
  • id: 2632851
    {'lmfdb_iso': '52272.v', 'p': 29, 'prec': 20, 'unit': 6491303697225790084795601, 'val': 1}
  • id: 2632848
    {'lmfdb_iso': '52272.v', 'p': 31, 'prec': 20, 'unit': 19398763668142199908913038344, 'val': 1}
  • id: 2632863
    {'lmfdb_iso': '52272.v', 'p': 37, 'prec': 20, 'unit': 510594955617961890946387033757, 'val': 1}
  • id: 2632849
    {'lmfdb_iso': '52272.v', 'p': 41, 'prec': 20, 'unit': 1166232787927433022681718406510, 'val': 1}
  • id: 2632850
    {'lmfdb_iso': '52272.v', 'p': 43, 'prec': 20, 'unit': 7479130526088691212861279076222, 'val': 1}
  • id: 2632861
    {'lmfdb_iso': '52272.v', 'p': 47, 'prec': 20, 'unit': 32560268864460289260004252032359, 'val': 1}
  • id: 2632856
    {'lmfdb_iso': '52272.v', 'p': 53, 'prec': 20, 'unit': 27571470569700600489968085353133, 'val': 1}
  • id: 2632857
    {'lmfdb_iso': '52272.v', 'p': 59, 'prec': 20, 'unit': 903098573502698617550887317302841, 'val': 1}
  • id: 2632862
    {'lmfdb_iso': '52272.v', 'p': 61, 'prec': 20, 'unit': 3434916958893634437938329464212250, 'val': 1}
  • id: 2632845
    {'lmfdb_iso': '52272.v', 'p': 67, 'prec': 20, 'unit': 23343781055533438263461546580828034, 'val': 1}
  • id: 2632860
    {'lmfdb_iso': '52272.v', 'p': 71, 'prec': 20, 'unit': 142790381655372303444396620956858202, 'val': 1}
  • id: 2632858
    {'lmfdb_iso': '52272.v', 'p': 73, 'prec': 20, 'unit': 136832278594975815470276956909382929, 'val': 1}
  • id: 2632853
    {'lmfdb_iso': '52272.v', 'p': 79, 'prec': 20, 'unit': 444542544679550605487261809039478686, 'val': 1}
  • id: 2632855
    {'lmfdb_iso': '52272.v', 'p': 83, 'prec': 20, 'unit': 970088426350749997085374165317272098, 'val': 1}
  • id: 2632859
    {'lmfdb_iso': '52272.v', 'p': 89, 'prec': 20, 'unit': 6743030022200040796284646200176071250, 'val': 1}
  • id: 2632844
    {'lmfdb_iso': '52272.v', 'p': 97, 'prec': 20, 'unit': 17764180765544759621891715841449259047, 'val': 1}