Elliptic curve data - 23104.bc2

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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': '23104a', 'Clabel': '23104a1', 'Cnumber': 1, 'abc_quality': 1.3175706029138485, 'absD': 438976, 'ainvs': [0, 0, 0, -152, 722], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 19, 'class_size': 2, 'cm': -19, 'conductor': 23104, 'degree': 2880, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.0035750696108021686956593773627', 'prec': 113}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 19], 'jinv': [-884736, 1], 'lmfdb_iso': '23104.bc', 'lmfdb_label': '23104.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -38, 90], 'min_quad_twist_disc': 8, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0494794438067417449483308950', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [19, 110, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0862584046823849384065322961', 'prec': 103}, 'szpiro_ratio': 2.6560340860672267, '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, 1, 0, 3, 0, -3, 0, 5, 0, 0, 0, 0, 0, -7, 0, 0, 0], 'aplist': [0, 0, 1, 3, 5, 0, -7, 0, -4, 0, 0, 0, 0, 1, 13, 0, 0, -15, 0, 0, -11, 0, 16, 0, 0], 'class_deg': 19, 'class_size': 2, 'conductor': 23104, 'isogeny_matrix': [[1, 19], [19, 1]], 'lmfdb_iso': '23104.bc', 'trace_hash': 1405694830403161992}
• 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': '1.0071757625006470685286807656', 'prec': 100}, 'conductor': 23104, 'gens': [[7, 1, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0494794438067417449483308950', 'prec': 100}], 'lmfdb_label': '23104.bc2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.9631663359061849469727271784', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.2195643162273677176100598065871694144', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [7]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 1, 0], '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [3, 0], '19': 'a', '23': [1, 0], '29': [1, 1, 0], '31': [1, 1, 0], '37': [1, 1, 0], '41': [1, 1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '23104.bc2'}
• ec_torsion_growth •

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

  
  
  • id: 1168947
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '23104.bc2', 'torsion': [2]}
  • id: 1168948
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '23104.bc2', 'torsion': [2, 2]}
  • id: 1168949
    {'degree': 8, 'field': [-623808, 0, 77976, 0, -2736, 0, 0, 0, 1], 'lmfdb_label': '23104.bc2', 'torsion': [3]}
  • id: 1168950
    {'degree': 8, 'field': [28880, 0, 0, 0, 456, 0, 38, 0, 1], 'lmfdb_label': '23104.bc2', 'torsion': [5]}
  • id: 1168951
    {'degree': 12, 'field': [-3651, -9208, 7088, 336, 395, -1920, -312, 48, -33, -8, -8, 0, 1], 'lmfdb_label': '23104.bc2', 'torsion': [4]}
  • id: 1168952
    {'degree': 12, 'field': [3072832, 0, 1536416, 0, 283024, 0, 23104, 0, 1368, 0, 38, 0, 1], 'lmfdb_label': '23104.bc2', 'torsion': [7]}
  • id: 1168954
    {'degree': 16, 'field': [33362176, 0, 166810880, 0, 31167296, 0, 0, 0, -196384, 0, 28880, 0, -1824, 0, 0, 0, 1], 'lmfdb_label': '23104.bc2', 'torsion': [5]}
  • id: 1168953
    {'degree': 16, 'field': [4804153344, 0, 600519168, 0, -35557056, 0, -13827744, 0, 2460576, 0, -164616, 0, 5928, 0, -114, 0, 1], 'lmfdb_label': '23104.bc2', 'torsion': [3, 3]}
  • id: 1168955
    {'degree': 18, 'field': [-512, 0, 11520, 0, -42240, 0, 59136, 0, -41184, 0, 16016, 0, -3640, 0, 480, 0, -34, 0, 1], 'lmfdb_label': '23104.bc2', 'torsion': [19]}
  • id: 1168956
    {'degree': 20, 'field': [27890779136, 0, 13945389568, 0, 3302855424, 0, 0, 0, 43458624, 0, 4609248, 0, 404320, 0, 11552, 0, 608, 0, 38, 0, 1], 'lmfdb_label': '23104.bc2', 'torsion': [11]}
• 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: 528063
    {'conductor': 23104, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '23104.bc2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 528064
    {'conductor': 23104, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '23104.bc2', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• lmfdb_label 23104.bc2 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 1089810
    {'lmfdb_iso': '23104.bc', 'p': 5, 'prec': 20, 'unit': 74833525575599, 'val': 0}
  • id: 1089811
    {'lmfdb_iso': '23104.bc', 'p': 7, 'prec': 20, 'unit': 4299559836306615, 'val': 1}
  • id: 1089813
    {'lmfdb_iso': '23104.bc', 'p': 11, 'prec': 20, 'unit': 42349317929836492437, 'val': 1}
  • id: 1089815
    {'lmfdb_iso': '23104.bc', 'p': 17, 'prec': 20, 'unit': 6513016802845372347354, 'val': 2}
  • id: 1089817
    {'lmfdb_iso': '23104.bc', 'p': 23, 'prec': 20, 'unit': 30885658448116164670311714, 'val': 1}
  • id: 1089809
    {'lmfdb_iso': '23104.bc', 'p': 43, 'prec': 20, 'unit': 97077220870339708823745236073435, 'val': 0}
  • id: 1089814
    {'lmfdb_iso': '23104.bc', 'p': 47, 'prec': 20, 'unit': 46228728483430146210708482767419, 'val': 1}
  • id: 1089818
    {'lmfdb_iso': '23104.bc', 'p': 61, 'prec': 20, 'unit': 48231169940611371909973934271404, 'val': 2}
  • id: 1089812
    {'lmfdb_iso': '23104.bc', 'p': 73, 'prec': 20, 'unit': 171206423694055576324921035709224513, 'val': 1}
  • id: 1089816
    {'lmfdb_iso': '23104.bc', 'p': 83, 'prec': 20, 'unit': 143672681791819582047708122696866115, 'val': 1}