Elliptic curve data - 20097.e1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '20097a', 'Clabel': '20097a2', 'Cnumber': 2, 'abc_quality': 1.0131098566276633, 'absD': 60595246533591, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 26796, 'ainvs': [1, -1, 1, -58844, 5496048], 'analytic_rank': 1, 'bad_primes': [3, 7, 11, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 20097, 'degree': 71424, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5186898987516185909521617000', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [834563889111074499, 2244268390133], 'lmfdb_iso': '20097.e', 'lmfdb_label': '20097.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -58844, 5496048], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '348.6.0.?', '924.6.0.?', '8932.6.0.?', '26796.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7404979104595354292992775201', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2440368265845911681033503908', 'prec': 100}, 'szpiro_ratio': 4.497381629257558, '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, -1, 0, -1, 2, 0, -1, 3, 0, -2, -1, 0, -2, 1, 0, -1, 2, 0, 6, -2], 'aplist': [-1, 0, 2, -1, -1, -2, 2, 6, 4, -1, 4, 6, 2, -12, -8, 12, -14, 6, -16, -12, -14, 8, -12, 6, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 20097, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '20097.e', 'trace_hash': 820665901876507269}
• 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': '0.047960390938880694253785521593', 'prec': 107}, 'conductor': 20097, 'gens': [[603, 873, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.7404979104595354292992775201', 'prec': 100}], 'lmfdb_label': '20097.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.62574577889044878974214566468', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5920923361994957516114498005549232031', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[539, -543, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [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': '20097.e1'}
• ec_torsion_growth •

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

  
  
  • id: 1024574
    {'degree': 2, 'field': [-231, 0, 1], 'lmfdb_label': '20097.e1', 'torsion': [2, 2]}
  • id: 1024575
    {'degree': 4, 'field': [231, 0, 24, 0, 1], 'lmfdb_label': '20097.e1', 'torsion': [4]}
  • id: 1024578
    {'degree': 8, 'field': [1, -1, 1, -2, -1, -2, 1, -1, 1], 'lmfdb_label': '20097.e1', 'torsion': [6]}
  • id: 1024577
    {'degree': 8, 'field': [23716, 0, -2537612, 0, 45045, 0, -308, 0, 1], 'lmfdb_label': '20097.e1', 'torsion': [2, 4]}
  • id: 1024576
    {'degree': 8, 'field': [883204, -156688, 163360, -13528, 7225, -556, 190, -4, 1], 'lmfdb_label': '20097.e1', 'torsion': [2, 4]}
  • id: 1024580
    {'degree': 16, 'field': [633713073841, -36673562, 90231252345, 3507899312, 10115142194, 908456004, 505837725, 60305934, 10366140, 1648720, -102710, -930, -6234, -468, 3, -2, 1], 'lmfdb_label': '20097.e1', 'torsion': [2, 6]}
  • id: 1024579
    {'degree': 16, 'field': [843863546382336, 53570980896768, 31438512833184, 11423686072752, 2183809189896, -66307295628, -64552250916, -5386521276, 838619442, 130923801, 215739, -463815, 64851, 6525, -153, -3, 1], 'lmfdb_label': '20097.e1', '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: 455235
    {'conductor': 20097, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '20097.e1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 455236
    {'conductor': 20097, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '20097.e1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 455237
    {'conductor': 20097, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '20097.e1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 455238
    {'conductor': 20097, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '20097.e1', 'prime': 29, '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: 1798248
    {'adelic_gens': [[11486, 1, 7655, 0], [1, 2, 2, 5], [8936, 1, 17863, 0], [6700, 20101, 20097, 6700], [6469, 4, 12938, 9], [26793, 4, 26792, 5], [1, 4, 0, 1], [17054, 1, 4871, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '26796.12.0.?', 'conductor': 20097, 'lmfdb_label': '20097.e1', 'prime': 0}
  • id: 93539
    {'conductor': 20097, 'elladic_image': '2.3.0.1', 'lmfdb_label': '20097.e1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 933830
    {'lmfdb_iso': '20097.e', 'p': 5, 'prec': 20, 'unit': 4382504922952, 'val': 1}
  • id: 933835
    {'lmfdb_iso': '20097.e', 'p': 13, 'prec': 20, 'unit': 4008689681907045561, 'val': 1}
  • id: 933837
    {'lmfdb_iso': '20097.e', 'p': 17, 'prec': 20, 'unit': 150895887115819791129520, 'val': 1}
  • id: 933838
    {'lmfdb_iso': '20097.e', 'p': 19, 'prec': 20, 'unit': 28946748235369915234028, 'val': 1}
  • id: 933842
    {'lmfdb_iso': '20097.e', 'p': 23, 'prec': 20, 'unit': 22773846424935967753761489, 'val': 1}
  • id: 933832
    {'lmfdb_iso': '20097.e', 'p': 31, 'prec': 20, 'unit': 6891204061944816355059675824, 'val': 1}
  • id: 933846
    {'lmfdb_iso': '20097.e', 'p': 37, 'prec': 20, 'unit': 272863657397536058713594847725, 'val': 1}
  • id: 933833
    {'lmfdb_iso': '20097.e', 'p': 41, 'prec': 20, 'unit': 3610871225512151669307763324919, 'val': 1}
  • id: 933834
    {'lmfdb_iso': '20097.e', 'p': 43, 'prec': 20, 'unit': 1941642832967787551347573900056, 'val': 1}
  • id: 933844
    {'lmfdb_iso': '20097.e', 'p': 47, 'prec': 20, 'unit': 50587115629832136742609035263381, 'val': 1}
  • id: 933839
    {'lmfdb_iso': '20097.e', 'p': 53, 'prec': 20, 'unit': 247859883413598627287543712776244, 'val': 1}
  • id: 933840
    {'lmfdb_iso': '20097.e', 'p': 59, 'prec': 20, 'unit': 3151220125809403706562363372323467, 'val': 1}
  • id: 933845
    {'lmfdb_iso': '20097.e', 'p': 61, 'prec': 20, 'unit': 3668996622313189339800229404147603, 'val': 1}
  • id: 933829
    {'lmfdb_iso': '20097.e', 'p': 67, 'prec': 20, 'unit': 22876165729725964761820924225002896, 'val': 1}
  • id: 933831
    {'lmfdb_iso': '20097.e', 'p': 71, 'prec': 20, 'unit': 251924805640754131935651508204106, 'val': 2}
  • id: 933841
    {'lmfdb_iso': '20097.e', 'p': 73, 'prec': 20, 'unit': 191537707598989970202343885720875751, 'val': 1}
  • id: 933836
    {'lmfdb_iso': '20097.e', 'p': 79, 'prec': 20, 'unit': 657777657945405989871908216776225991, 'val': 1}
  • id: 933828
    {'lmfdb_iso': '20097.e', 'p': 83, 'prec': 20, 'unit': 2013741264346428202311399018352650087, 'val': 1}
  • id: 933843
    {'lmfdb_iso': '20097.e', 'p': 89, 'prec': 20, 'unit': 112643841060784523502066777717713696, 'val': 2}
  • id: 933827
    {'lmfdb_iso': '20097.e', 'p': 97, 'prec': 20, 'unit': 25716495200799056408229003972721447028, 'val': 1}