Elliptic curve data - 19110.bs2

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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': '19110bu', 'Clabel': '19110bu2', 'Cnumber': 2, 'abc_quality': 1.0280517750617344, 'absD': 38716994954366409394022400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 10920, 'ainvs': [1, 1, 1, -106536781, 518379809219], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19110, 'degree': 7096320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6247051852987741622026446694', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [-1136669439536177967564481, 329089027143166617600], 'lmfdb_iso': '19110.bs', 'lmfdb_label': '19110.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2174220, -1511622000], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '420.6.0.?', '10920.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 637], [3, 4, 6370], [5, 6, 3822], [7, 26, 390], [11, 2, 9555], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6517501107711175096499682977', 'prec': 100}, 'szpiro_ratio': 6.844338655931218, '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, -1, 1, -1, -1, 0, 1, 1, -1, 2, -1, 1, 0, 1, 1, -6, 1, 6, -1], 'aplist': [1, -1, -1, 0, 2, 1, -6, 6, 4, 0, -4, 6, -10, -8, 8, 6, -8, 8, 2, 12, 2, -8, 18, -2, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 19110, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '19110.bs', 'trace_hash': 61271827253187025}
• 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': '0.00071059325201796543149602090382', 'prec': 113}, 'conductor': 19110, 'gens': [], 'heights': [], 'lmfdb_label': '19110.bs2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.061391313256550904339148270220', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7012177832882397909225238896809623447', 'prec': 130}, 'tamagawa_product': 176, 'torsion_generators': [[-48829, 48825, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [0, 0], '5': [0, 0], '7': 'a', '11': [2, 0], '13': [1, 0]}, 'iwp0': 13, 'lmfdb_label': '19110.bs2'}
• ec_torsion_growth •

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

  
  
  • id: 977381
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '19110.bs2', 'torsion': [2, 2]}
  • id: 977382
    {'degree': 4, 'field': [-26, 0, -1, 0, 1], 'lmfdb_label': '19110.bs2', 'torsion': [4]}
  • id: 977385
    {'degree': 8, 'field': [-65000, 14612, -15470, 1715, -854, -7, 7, -4, 1], 'lmfdb_label': '19110.bs2', 'torsion': [6]}
  • id: 977384
    {'degree': 8, 'field': [427716, 0, -1860, 0, 397, 0, -10, 0, 1], 'lmfdb_label': '19110.bs2', 'torsion': [2, 4]}
  • id: 977383
    {'degree': 8, 'field': [26618796, 7090128, 642644, 4376, 4877, 1316, 34, -4, 1], 'lmfdb_label': '19110.bs2', 'torsion': [2, 4]}
  • id: 977386
    {'degree': 16, 'field': [6100234816, 0, 3572879024, 0, -5396091740, 0, -506171224, 0, -3160616, 0, 158636, 0, 22405, 0, -286, 0, 1], 'lmfdb_label': '19110.bs2', 'torsion': [8]}
  • id: 977387
    {'degree': 16, 'field': [41749953336, -35004780720, 49628690748, -31279444560, 20782025082, -6348910932, 2416447593, -263784360, 74219188, -5712218, 1342285, -112868, 22057, -1526, 238, -8, 1], 'lmfdb_label': '19110.bs2', '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: 431485
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '19110.bs2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 11}
  • id: 431486
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '19110.bs2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 431487
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '19110.bs2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 431488
    {'conductor': 19110, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '19110.bs2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 431489
    {'conductor': 19110, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '19110.bs2', 'prime': 13, 'reduction_type': 1, '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

  
  
  • id: 1791647
    {'adelic_gens': [[1, 2, 2, 5], [8402, 1, 6719, 0], [1, 4, 0, 1], [3641, 4, 7282, 9], [7801, 4, 4682, 9], [2, 1, 5459, 0], [8737, 4, 6554, 9], [9556, 1369, 6825, 4096], [1, 0, 4, 1], [3, 4, 8, 11], [10917, 4, 10916, 5]], 'adelic_image': '10920.12.0.?', 'conductor': 19110, 'lmfdb_label': '19110.bs2', 'prime': 0}
  • id: 89189
    {'conductor': 19110, 'elladic_image': '2.3.0.1', 'lmfdb_label': '19110.bs2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 19110.bs does not appear in ec_padic