Elliptic curve data - 101568.ba2

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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': '101568bx', 'Clabel': '101568bx1', 'Cnumber': 1, 'abc_quality': 0.9038338202074565, 'absD': 448524288, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 552, 'ainvs': [0, -1, 0, -153, 1305], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 101568, 'degree': 36864, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.35457352808449213840002313010', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [-8000, 9], 'lmfdb_iso': '101568.ba', 'lmfdb_label': '101568.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -38, -144], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.j.1', '46.6.0.a.1', '552.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1345771990686909840991366956', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 23], [3, 4, 33856], [23, 156, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1224472064577405937188971993', 'prec': 103}, 'szpiro_ratio': 2.4106565363493324, '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, 2, 0, 2, 0, 0, 0, -2, 0, 8, 0], 'aplist': [0, -1, 0, 2, 2, 2, -2, 8, 0, -6, 8, -10, 10, -4, -8, -12, 12, -6, 12, -12, -6, 14, 6, 14, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 101568, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '101568.ba', 'trace_hash': 1505404017275733917}
• 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': '0.49206372123591792454393791586', 'prec': 103}, 'conductor': 101568, 'gens': [[8, 23, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1345771990686909840991366956', 'prec': 100}], 'lmfdb_label': '101568.ba2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5143906926318855431687916744', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8727726013679184985779947959504494086', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-15, 0, 1]], 'xcoord_integral_points': [-15, 8, 9, 2193]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 1, 0], '7': [3, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '101568.ba2'}
• ec_torsion_growth •

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

  
  
  • id: 4712733
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '101568.ba2', 'torsion': [2, 2]}
  • id: 4712734
    {'degree': 4, 'field': [1978, -276, -46, 0, 1], 'lmfdb_label': '101568.ba2', 'torsion': [4]}
  • id: 4712737
    {'degree': 8, 'field': [-634800, 0, 135424, 0, -2760, 0, 0, 0, 1], 'lmfdb_label': '101568.ba2', 'torsion': [6]}
  • id: 4712736
    {'degree': 8, 'field': [1444, 0, 1336, 0, 600, 0, 52, 0, 1], 'lmfdb_label': '101568.ba2', 'torsion': [2, 4]}
  • id: 4712735
    {'degree': 8, 'field': [4374, -6348, 3950, -1656, 449, 0, -26, 0, 1], 'lmfdb_label': '101568.ba2', 'torsion': [2, 4]}
  • id: 4712738
    {'degree': 16, 'field': [380016036, 800033760, 607744944, 143163936, -49043232, -42600816, -18623088, -7717248, -2223036, -245808, 45144, 18288, 1920, -216, -72, 0, 1], 'lmfdb_label': '101568.ba2', 'torsion': [8]}
  • id: 4712739
    {'degree': 16, 'field': [3260452500, -7473610800, 8560718496, -6164950176, 3123203544, -1189994976, 354367440, -83177568, 15376452, -2247192, 251896, -16560, -24, 0, 0, 0, 1], 'lmfdb_label': '101568.ba2', 'torsion': [2, 6]}
• 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: 2494604
    {'conductor': 101568, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '101568.ba2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2494605
    {'conductor': 101568, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '101568.ba2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2494606
    {'conductor': 101568, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '101568.ba2', 'prime': 23, 'reduction_type': 0, '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: 2331418
    {'adelic_gens': [[185, 4, 370, 9], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [388, 1, 455, 0], [549, 4, 548, 5], [209, 346, 344, 207], [277, 4, 2, 9]], 'adelic_image': '552.12.0.?', 'conductor': 101568, 'lmfdb_label': '101568.ba2', 'prime': 0}
  • id: 407655
    {'conductor': 101568, 'elladic_image': '2.3.0.1', 'lmfdb_label': '101568.ba2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5287276
    {'lmfdb_iso': '101568.ba', 'p': 7, 'prec': 20, 'unit': 477166138327754, 'val': 2}
  • id: 5287274
    {'lmfdb_iso': '101568.ba', 'p': 11, 'prec': 20, 'unit': 753375881883019877, 'val': 2}
  • id: 5287280
    {'lmfdb_iso': '101568.ba', 'p': 13, 'prec': 20, 'unit': 14794432283108904758, 'val': 1}
  • id: 5287282
    {'lmfdb_iso': '101568.ba', 'p': 17, 'prec': 20, 'unit': 197639715822366110725128, 'val': 1}
  • id: 5287283
    {'lmfdb_iso': '101568.ba', 'p': 19, 'prec': 20, 'unit': 1975601498576510489208369, 'val': 1}
  • id: 5287279
    {'lmfdb_iso': '101568.ba', 'p': 29, 'prec': 20, 'unit': 132199508376256713911544669, 'val': 2}
  • id: 5287292
    {'lmfdb_iso': '101568.ba', 'p': 31, 'prec': 20, 'unit': 17752559791743334947704277682, 'val': 1}
  • id: 5287275
    {'lmfdb_iso': '101568.ba', 'p': 37, 'prec': 20, 'unit': 235062089968807827377534513804, 'val': 1}
  • id: 5287277
    {'lmfdb_iso': '101568.ba', 'p': 41, 'prec': 20, 'unit': 922776437226047243284131790905, 'val': 1}
  • id: 5287278
    {'lmfdb_iso': '101568.ba', 'p': 43, 'prec': 20, 'unit': 9602133507878728015877113056352, 'val': 1}
  • id: 5287290
    {'lmfdb_iso': '101568.ba', 'p': 47, 'prec': 20, 'unit': 28975194200348584130268453073932, 'val': 1}
  • id: 5287284
    {'lmfdb_iso': '101568.ba', 'p': 53, 'prec': 20, 'unit': 70641932952860501754006061834085, 'val': 1}
  • id: 5287285
    {'lmfdb_iso': '101568.ba', 'p': 59, 'prec': 20, 'unit': 3254638920088333013954104729085064, 'val': 1}
  • id: 5287291
    {'lmfdb_iso': '101568.ba', 'p': 61, 'prec': 20, 'unit': 5440398374508148600279148989585055, 'val': 1}
  • id: 5287273
    {'lmfdb_iso': '101568.ba', 'p': 67, 'prec': 20, 'unit': 44888470447573527045540135320822305, 'val': 1}
  • id: 5287289
    {'lmfdb_iso': '101568.ba', 'p': 71, 'prec': 20, 'unit': 76424524393208364371920646900437389, 'val': 1}
  • id: 5287286
    {'lmfdb_iso': '101568.ba', 'p': 73, 'prec': 20, 'unit': 186960306337969430923782169675236789, 'val': 1}
  • id: 5287281
    {'lmfdb_iso': '101568.ba', 'p': 79, 'prec': 20, 'unit': 102679573343910965285644588022878987, 'val': 1}
  • id: 5287287
    {'lmfdb_iso': '101568.ba', 'p': 83, 'prec': 20, 'unit': 1063237395323983602650454743135941283, 'val': 1}
  • id: 5287288
    {'lmfdb_iso': '101568.ba', 'p': 89, 'prec': 20, 'unit': 124390548525563952726712460740051325, 'val': 1}
  • id: 5287272
    {'lmfdb_iso': '101568.ba', 'p': 97, 'prec': 20, 'unit': 3612571973363324415992467086429171190, 'val': 1}