Elliptic curve data - 105966.a2

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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': '105966bf', 'Clabel': '105966bf1', 'Cnumber': 1, 'abc_quality': 1.020662086503193, 'absD': 16136356564818, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 24360, 'ainvs': [1, -1, 0, 3366, 177214], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 105966, 'degree': 403200, 'elladic_images': ['5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2171240727850823473496675164', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [237176659, 907578], 'lmfdb_iso': '105966.a', 'lmfdb_label': '105966.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 374, -6439], 'min_quad_twist_disc': -3, 'modell_images': ['5B'], 'modm_images': ['5.6.0.a.1', '145.12.0.?', '435.24.0.?', '840.12.0.?', '4872.2.0.?', '8120.24.0.?', '24360.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 18, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.33630545506017505252524078502', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17400602904559100514377311015', 'prec': 107}, 'szpiro_ratio': 3.2584269567359807, '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, -1, 0, 1, -4, 0, 1, -1, 0, 4, -5, 0, 1, -1, 0, 1, 2, 0, -1, -4], 'aplist': [-1, 0, -4, 1, -5, 1, 2, -1, 1, 0, -10, 7, 0, -4, -7, -9, -5, 0, -13, -8, -1, 4, -9, 6, -3], 'class_deg': 5, 'class_size': 2, 'conductor': 105966, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '105966.a', 'trace_hash': 434858023931872931}
• 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': '0.087663632567275374985956879651', 'prec': 107}, 'conductor': 105966, 'gens': [[47, 638, 1], [341, 6224, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.45246180573527872912786663893', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.82976487029468176337941817803', 'prec': 103}], 'lmfdb_label': '105966.a2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.49584091719042718247624622654', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6701602117272475393255814441654812654', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [], 'xcoord_integral_points': [-37, -7, 35, 47, 75, 341, 3071, 10631, 14355]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [8, 0], '7': [3, 0], '11': [2, 0], '13': [4, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': 'a', '31': [2, 0], '37': [2, 0], '41': [2, 2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '105966.a2'}
• ec_torsion_growth •

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

  
  
  • id: 4895765
    {'degree': 3, 'field': [-14, 2, -1, 1], 'lmfdb_label': '105966.a2', 'torsion': [2]}
  • id: 4895766
    {'degree': 4, 'field': [-35, 67, -25, -1, 1], 'lmfdb_label': '105966.a2', 'torsion': [5]}
  • id: 4895767
    {'degree': 6, 'field': [4872, 0, 25, 0, 10, 0, 1], 'lmfdb_label': '105966.a2', 'torsion': [2, 2]}
  • id: 4895768
    {'degree': 8, 'field': [-2324, 1792, -140, 48, -12, -36, 1, -2, 1], 'lmfdb_label': '105966.a2', 'torsion': [3]}
  • id: 4895769
    {'degree': 12, 'field': [-424942689, 373374920, -60491292, -40060452, 17728775, -2120624, -5032, -16680, 10169, -1304, 20, -4, 1], 'lmfdb_label': '105966.a2', 'torsion': [4]}
  • id: 4895770
    {'degree': 12, 'field': [778099, -191255, -148538, -110954, -52557, 19524, -4621, 2949, 255, 69, 47, -2, 1], 'lmfdb_label': '105966.a2', 'torsion': [10]}
  • id: 4895771
    {'degree': 20, 'field': [2610992400, 1720345200, 744220800, 364995000, 191384760, 43917360, 46266180, 16970160, 5094846, 2957814, 530857, 214463, 81033, 15648, 4953, 1473, 183, 48, 27, -1, 1], 'lmfdb_label': '105966.a2', 'torsion': [5]}
• 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: 2604018
    {'conductor': 105966, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '105966.a2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2604019
    {'conductor': 105966, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '105966.a2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2604020
    {'conductor': 105966, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '105966.a2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 2604021
    {'conductor': 105966, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '105966.a2', 'prime': 29, '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: 2359254
    {'adelic_gens': [[6, 13, 24305, 24241], [1, 0, 10, 1], [12186, 5, 6085, 24356], [24354, 24355, 8125, 4], [18271, 12190, 0, 8527], [22682, 5, 4195, 24348], [6, 5, 12175, 24356], [17406, 5, 13915, 24356], [24351, 10, 24350, 11], [1, 10, 0, 1]], 'adelic_image': '24360.48.1.?', 'conductor': 105966, 'lmfdb_label': '105966.a2', 'prime': 0}
  • id: 422636
    {'conductor': 105966, 'elladic_image': '5.6.0.1', 'lmfdb_label': '105966.a2', 'modell_image': '5B', 'prime': 5}
• ec_padic •

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

  
  
  • id: 5522350
    {'lmfdb_iso': '105966.a', 'p': 5, 'prec': 20, 'unit': 55689720817766, 'val': 0}
  • id: 5522357
    {'lmfdb_iso': '105966.a', 'p': 11, 'prec': 20, 'unit': 50746516873346658259, 'val': 2}
  • id: 5522355
    {'lmfdb_iso': '105966.a', 'p': 13, 'prec': 20, 'unit': 6055112686895116352, 'val': 1}
  • id: 5522358
    {'lmfdb_iso': '105966.a', 'p': 17, 'prec': 20, 'unit': 201704419349149410028294, 'val': 2}
  • id: 5522359
    {'lmfdb_iso': '105966.a', 'p': 19, 'prec': 20, 'unit': 189995175334684992642028, 'val': 2}
  • id: 5522362
    {'lmfdb_iso': '105966.a', 'p': 23, 'prec': 20, 'unit': 986274491176521922847728, 'val': 0}
  • id: 5522352
    {'lmfdb_iso': '105966.a', 'p': 31, 'prec': 20, 'unit': 14650547005154341030586315444, 'val': 2}
  • id: 5522365
    {'lmfdb_iso': '105966.a', 'p': 37, 'prec': 20, 'unit': 360406811018400210531096363494, 'val': 2}
  • id: 5522354
    {'lmfdb_iso': '105966.a', 'p': 43, 'prec': 20, 'unit': 5387274961169244878985687351426, 'val': 2}
  • id: 5522364
    {'lmfdb_iso': '105966.a', 'p': 47, 'prec': 20, 'unit': 44142968515721481046509843315209, 'val': 2}
  • id: 5522360
    {'lmfdb_iso': '105966.a', 'p': 53, 'prec': 20, 'unit': 450164563936362333537474972611346, 'val': 2}
  • id: 5522361
    {'lmfdb_iso': '105966.a', 'p': 59, 'prec': 20, 'unit': 1093800934163755683276295932691482, 'val': 2}
  • id: 5522349
    {'lmfdb_iso': '105966.a', 'p': 67, 'prec': 20, 'unit': 7762192169650342190036025778716736, 'val': 2}
  • id: 5522351
    {'lmfdb_iso': '105966.a', 'p': 71, 'prec': 20, 'unit': 119345909275153778379604631545379136, 'val': 2}
  • id: 5522353
    {'lmfdb_iso': '105966.a', 'p': 73, 'prec': 20, 'unit': 178932073622306573911429492654656314, 'val': 2}
  • id: 5522356
    {'lmfdb_iso': '105966.a', 'p': 79, 'prec': 20, 'unit': 1105116188610953739139179825734863403, 'val': 2}
  • id: 5522348
    {'lmfdb_iso': '105966.a', 'p': 83, 'prec': 20, 'unit': 1692811293458733171417525914935797339, 'val': 2}
  • id: 5522363
    {'lmfdb_iso': '105966.a', 'p': 89, 'prec': 20, 'unit': 4194816670566252202108543082349842400, 'val': 2}
  • id: 5522347
    {'lmfdb_iso': '105966.a', 'p': 97, 'prec': 20, 'unit': 43362465893594396365695829757308818548, 'val': 2}