Elliptic curve data - 110946.bo3

Formats: - HTML - YAML - JSON - 2024-05-15T07:27:37.453583

• 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': '110946bm', 'Clabel': '110946bm3', 'Cnumber': 3, 'abc_quality': 1.0250656507343525, 'absD': 11266496743181922, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10824, 'ainvs': [1, 0, 0, -20207, -5226837], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 110946, 'degree': 1105920, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7618321325014830304471248775', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 40, 'isogeny_degrees': [1, 2, 4], 'jinv': [-192100033, 2371842], 'lmfdb_iso': '110946.bo', 'lmfdb_label': '110946.bo3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -12, -81], 'min_quad_twist_disc': 41, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '164.12.0.?', '264.24.0.?', '328.24.0.?', '10824.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094953900850670871486256809019', 'prec': 110}, 'szpiro_ratio': 3.827313816928178, '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, 2, 1, 4, 1, 1, 2, 1, 1, 6, 4, 2, 1, -2, 1, -4, 2], 'aplist': [1, 1, 2, 4, 1, 6, -2, -4, 4, -6, 0, 6, 0, 4, 12, -2, 12, -14, -4, 12, -6, 4, 4, -10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 110946, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '110946.bo', 'trace_hash': 1102033773760884275}
• 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': '0.029491173464418666237579688396', 'prec': 107}, 'conductor': 110946, 'gens': [], 'heights': [], 'lmfdb_label': '110946.bo3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17213355375461245030680855546', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.016547440295196819635747549136229019', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[847, -847, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 2], '3': [1, 0], '11': [1, 0], '41': 'a'}, 'iwp0': 3, 'lmfdb_label': '110946.bo3'}
• ec_torsion_growth •

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

  
  
  • id: 5107442
    {'degree': 2, 'field': [-82, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [4]}
  • id: 5107441
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [2, 2]}
  • id: 5107443
    {'degree': 2, 'field': [41, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [4]}
  • id: 5107444
    {'degree': 4, 'field': [441, 0, -40, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [2, 4]}
  • id: 5107448
    {'degree': 8, 'field': [-531936, 33552, -50664, 600, -3252, -46, 6, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [6]}
  • id: 5107446
    {'degree': 8, 'field': [10044, 99792, 98664, -6336, 4576, -264, -116, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [8]}
  • id: 5107445
    {'degree': 8, 'field': [10486, 3752, -3148, -1168, 485, 116, -34, -4, 1], 'lmfdb_label': '110946.bo3', 'torsion': [2, 4]}
  • id: 5107447
    {'degree': 8, 'field': [985512, 289080, 52468, 5776, -166, -266, -25, -2, 1], 'lmfdb_label': '110946.bo3', 'torsion': [8]}
  • id: 5107450
    {'degree': 16, 'field': [8191044, 0, -1242864, 0, 150033636, 0, 64337808, 0, 8783197, 0, 534188, 0, 15678, 0, 212, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [2, 8]}
  • id: 5107449
    {'degree': 16, 'field': [44363682, 44101992, -24151036, -34914456, 5719346, 12102976, -917880, -2305912, 142163, 255480, -18272, -16344, 1450, 560, -60, -8, 1], 'lmfdb_label': '110946.bo3', 'torsion': [4, 4]}
  • id: 5107454
    {'degree': 16, 'field': [122810724, 0, 92934792, 0, 32367204, 0, 6382421, 0, 776174, 0, 60305, 0, 2941, 0, 82, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [12]}
  • id: 5107451
    {'degree': 16, 'field': [347508612, 125104320, 108080808, 55751520, 15086608, 10801056, 2695788, 916608, 560637, 20976, 60184, -1056, 3186, -48, 84, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [2, 8]}
  • id: 5107453
    {'degree': 16, 'field': [31439545344, 0, -11895653376, 0, 2071501056, 0, -204237472, 0, 12418784, 0, -482440, 0, 11764, 0, -164, 0, 1], 'lmfdb_label': '110946.bo3', 'torsion': [12]}
  • id: 5107452
    {'degree': 16, 'field': [182643407424, 0, 89324910144, 0, 1478740176, 0, -138707800, 0, -995944, 0, -90358, 0, 2584, 0, 16, 0, 1], 'lmfdb_label': '110946.bo3', '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: 2727912
    {'conductor': 110946, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '110946.bo3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2727913
    {'conductor': 110946, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110946.bo3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2727914
    {'conductor': 110946, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110946.bo3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2727915
    {'conductor': 110946, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '110946.bo3', 'prime': 41, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2390673
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7217, 9512, 1148, 5577], [7, 6, 10818, 10819], [527, 0, 0, 10823], [8857, 9512, 7708, 5577], [9472, 2747, 697, 1518], [10817, 8, 10816, 9], [9144, 41, 7585, 8160]], 'adelic_image': '10824.48.0.?', 'conductor': 110946, 'lmfdb_label': '110946.bo3', 'prime': 0}
  • id: 440274
    {'conductor': 110946, 'elladic_image': '8.12.0.16', 'lmfdb_label': '110946.bo3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 110946.bo does not appear in ec_padic