Elliptic curve data - 293046.b2

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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': '293046b', 'Clabel': '293046b1', 'Cnumber': 1, 'abc_quality': 1.037140822363524, 'absD': 14057859874346496, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 15912, 'ainvs': [1, 1, 0, -271079, -54735819], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 293046, 'degree': 5225472, 'elladic_images': ['9.36.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9357136830605491727126972019', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [-1579268174113, 10077696], 'lmfdb_iso': '293046.b', 'lmfdb_label': '293046.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1604, -25531], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.36.0.f.2', '24.8.0.d.1', '72.72.2.?', '663.8.0.?', '1989.72.0.?', '5304.16.0.?', '15912.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5170621538603334447934521624', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 146523], [3, 4, 48841], [13, 86, 1734], [17, 66, 1014]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18103678032041145797769771147', 'prec': 103}, 'szpiro_ratio': 3.9048888250054232, '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, -1, 1, -3, 1, -4, -1, 1, 3, 3, -1, 0, 4, 3, 1, 0, -1, -8, -3], 'aplist': [-1, -1, -3, -4, 3, 0, 0, -8, -6, -3, -7, 8, 6, -4, 6, -9, -15, -14, -2, 0, -7, 1, -12, 0, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 293046, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '293046.b', 'trace_hash': 1226909547757064480}
• 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': '0.020828618133400021202865798612', 'prec': 107}, 'conductor': 293046, 'gens': [[889, 19751, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5170621538603334447934521624', 'prec': 100}], 'lmfdb_label': '293046.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10457545647142597423614049376', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '0.94474767329949391374026585445220678484', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [889]}
• lmfdb_label 293046.b2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12437494
    {'degree': 2, 'field': [-55, -1, 1], 'lmfdb_label': '293046.b2', 'torsion': [3]}
  • id: 12437495
    {'degree': 3, 'field': [39, -11, -1, 1], 'lmfdb_label': '293046.b2', 'torsion': [2]}
  • id: 12437499
    {'degree': 6, 'field': [-40496, -16384, -6860, 208, -35, -1, 1], 'lmfdb_label': '293046.b2', 'torsion': [6]}
  • id: 12437498
    {'degree': 6, 'field': [-451, 400, -110, 66, -4, -2, 1], 'lmfdb_label': '293046.b2', 'torsion': [9]}
  • id: 12437496
    {'degree': 6, 'field': [24, -120, 142, 52, 15, -2, 1], 'lmfdb_label': '293046.b2', 'torsion': [2, 2]}
  • id: 12437497
    {'degree': 6, 'field': [8124, 174, 1045, 55, 50, -1, 1], 'lmfdb_label': '293046.b2', 'torsion': [3]}
  • id: 12437500
    {'degree': 12, 'field': [-328710996, -27078660, 264554956, 7989338, -89634773, 19228540, -284762, 38362, 49679, -1512, 446, -6, 1], 'lmfdb_label': '293046.b2', 'torsion': [4]}
  • id: 12437501
    {'degree': 12, 'field': [203401, -180400, 110390, 15532, -16104, -3158, 3814, -304, 258, -124, 8, -2, 1], 'lmfdb_label': '293046.b2', 'torsion': [3, 9]}
  • id: 12437502
    {'degree': 12, 'field': [14963817456, -489503664, 507625020, -36637764, 19302355, -1168406, 369501, 17842, -5362, 590, -107, -6, 1], 'lmfdb_label': '293046.b2', 'torsion': [2, 6]}
  • id: 12437504
    {'degree': 18, 'field': [-22335284, 55298870, -78067737, 64751736, -16545723, -7936772, 10580259, -3181388, 387444, 137412, -168360, 69584, -13656, 1418, -339, 24, 27, -8, 1], 'lmfdb_label': '293046.b2', 'torsion': [18]}
  • id: 12437503
    {'degree': 18, 'field': [170510407168, 13571288320, 118372163392, 11465335712, 31005214592, 2386798312, 4019695444, 218292152, 317034230, 9129288, 16296111, 179701, 554509, 186, 12262, -70, 163, -1, 1], 'lmfdb_label': '293046.b2', 'torsion': [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: 7263552
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '293046.b2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7263553
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '293046.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7263554
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '293046.b2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7263555
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '293046.b2', 'prime': 17, 'reduction_type': 0, '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: 3510368
    {'adelic_gens': [[1, 18, 0, 1], [1, 18, 12, 217], [10, 9, 81, 73], [6137, 4914, 13104, 5201], [7343, 0, 0, 15911], [11935, 4914, 0, 1], [15895, 18, 15894, 19], [15302, 6435, 15561, 10882], [1, 0, 18, 1], [2458, 2457, 5499, 13456], [13, 12, 15848, 15853]], 'adelic_image': '15912.144.2.?', 'conductor': 293046, 'lmfdb_label': '293046.b2', 'prime': 0}
  • id: 1037445
    {'conductor': 293046, 'elladic_image': '9.36.0.7', 'lmfdb_label': '293046.b2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 293046.b does not appear in ec_padic