Elliptic curve data - 13200.h1

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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
  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
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '13200e', 'Clabel': '13200e2', 'Cnumber': 2, 'abc_quality': 0.8866917378259309, 'absD': 21780000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, -1, 0, -5908, -172688], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 13200, 'degree': 12288, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.90529489792657469913050109807', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [5702413264, 5445], 'lmfdb_iso': '13200.h', 'lmfdb_label': '13200.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -236, 1476], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.c.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5696996743638073807264362751', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36152217866377236111469998285', 'prec': 107}, 'szpiro_ratio': 3.969864138500247, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -1, 0, 0, 0, -2, 0, 1, 0, -1, 0, -4, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, -1, 0, -2, -1, -4, 0, 4, 4, -2, 8, 2, -6, -6, -4, -6, 4, -6, 0, 16, 4, 8, 6, 14, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 13200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '13200.h', 'trace_hash': 384064002025132056}
• 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': '0.16355764273016620004262515973', 'prec': 103}, 'conductor': 13200, 'gens': [[-44, 12, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5696996743638073807264362751', 'prec': 100}], 'lmfdb_label': '13200.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54457563159864472874364151669', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4192807663474294547602406478128527994', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-43, 0, 1]], 'xcoord_integral_points': [-44, -43, 232]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [3, 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': '13200.h1'}
• ec_torsion_growth •

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

  
  
  • id: 679078
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '13200.h1', 'torsion': [2, 2]}
  • id: 679079
    {'degree': 4, 'field': [1, 1, 1, -1, 1], 'lmfdb_label': '13200.h1', 'torsion': [4]}
  • id: 679082
    {'degree': 8, 'field': [-6075, 0, -2340, 0, -270, 0, 0, 0, 1], 'lmfdb_label': '13200.h1', 'torsion': [6]}
  • id: 679081
    {'degree': 8, 'field': [-2039, 3492, -1460, -358, 239, 58, -30, -2, 1], 'lmfdb_label': '13200.h1', 'torsion': [2, 4]}
  • id: 679080
    {'degree': 8, 'field': [1, -4, 11, -11, 18, -13, 9, -3, 1], 'lmfdb_label': '13200.h1', 'torsion': [2, 4]}
  • id: 679084
    {'degree': 16, 'field': [199809, 0, 98484, 0, -155270, 0, 50232, 0, -7845, 0, 1072, 0, -138, 0, 0, 0, 1], 'lmfdb_label': '13200.h1', 'torsion': [2, 6]}
  • id: 679083
    {'degree': 16, 'field': [4568985, -4127640, 6022106, -4261012, 3143506, -1667296, 936032, -341684, 178076, -42484, 21310, -3416, 1549, -172, 62, -4, 1], 'lmfdb_label': '13200.h1', 'torsion': [8]}
• 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: 286796
    {'conductor': 13200, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '13200.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 286797
    {'conductor': 13200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '13200.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 286798
    {'conductor': 13200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '13200.h1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 286799
    {'conductor': 13200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '13200.h1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1751574
    {'adelic_gens': [[134, 1, 43, 0], [57, 166, 164, 55], [1, 2, 2, 5], [217, 4, 216, 5], [3, 4, 8, 11], [101, 4, 202, 9], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 13200, 'lmfdb_label': '13200.h1', 'prime': 0}
  • id: 62625
    {'conductor': 13200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '13200.h1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 580608
    {'lmfdb_iso': '13200.h', 'p': 7, 'prec': 20, 'unit': 646929178600435, 'val': 1}
  • id: 580612
    {'lmfdb_iso': '13200.h', 'p': 13, 'prec': 20, 'unit': 905479365101677662486, 'val': 1}
  • id: 580614
    {'lmfdb_iso': '13200.h', 'p': 19, 'prec': 20, 'unit': 190508070824190857340497, 'val': 1}
  • id: 580617
    {'lmfdb_iso': '13200.h', 'p': 23, 'prec': 20, 'unit': 47746634890595538431143488, 'val': 1}
  • id: 580611
    {'lmfdb_iso': '13200.h', 'p': 29, 'prec': 20, 'unit': 216972087090537484072920837, 'val': 1}
  • id: 580622
    {'lmfdb_iso': '13200.h', 'p': 31, 'prec': 20, 'unit': 16841471036234128626504940921, 'val': 1}
  • id: 580607
    {'lmfdb_iso': '13200.h', 'p': 37, 'prec': 20, 'unit': 425226898035725956158965097283, 'val': 1}
  • id: 580609
    {'lmfdb_iso': '13200.h', 'p': 41, 'prec': 20, 'unit': 364583042170191949739207240532, 'val': 1}
  • id: 580610
    {'lmfdb_iso': '13200.h', 'p': 43, 'prec': 20, 'unit': 9495570279383073688192225116012, 'val': 1}
  • id: 580620
    {'lmfdb_iso': '13200.h', 'p': 47, 'prec': 20, 'unit': 5490664899771103928831895675943, 'val': 1}
  • id: 580615
    {'lmfdb_iso': '13200.h', 'p': 53, 'prec': 20, 'unit': 542584841994813058318797350338908, 'val': 1}
  • id: 580606
    {'lmfdb_iso': '13200.h', 'p': 59, 'prec': 20, 'unit': 2453304292141438532317540070572032, 'val': 1}
  • id: 580621
    {'lmfdb_iso': '13200.h', 'p': 61, 'prec': 20, 'unit': 7364761323794852685133556130624740, 'val': 1}
  • id: 580619
    {'lmfdb_iso': '13200.h', 'p': 71, 'prec': 20, 'unit': 43191796107267230555193736321512999, 'val': 1}
  • id: 580616
    {'lmfdb_iso': '13200.h', 'p': 73, 'prec': 20, 'unit': 75862349106076248279201122956456304, 'val': 1}
  • id: 580613
    {'lmfdb_iso': '13200.h', 'p': 79, 'prec': 20, 'unit': 493210983231646545585657252108451692, 'val': 1}
  • id: 580605
    {'lmfdb_iso': '13200.h', 'p': 83, 'prec': 20, 'unit': 128227234130911379187502862775486348, 'val': 1}
  • id: 580618
    {'lmfdb_iso': '13200.h', 'p': 89, 'prec': 20, 'unit': 6331509845336392293567188814524948734, 'val': 1}
  • id: 580604
    {'lmfdb_iso': '13200.h', 'p': 97, 'prec': 20, 'unit': 53273130550010017504071576469505098164, 'val': 1}