Elliptic curve data - 298816.cd2

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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': '298816cd', 'Clabel': '298816cd1', 'Cnumber': 1, 'abc_quality': 0.9966591708553458, 'absD': 227491339891401546753114112, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 812, 'ainvs': [0, -1, 0, -691415137, -7035013513983], 'analytic_rank': 0, 'bad_primes': [2, 7, 23, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 298816, 'degree': 139689984, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8956842986345235539420919696', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2], 'jinv': [-139444195316122186685933977, 867810592237096964848], 'lmfdb_iso': '298816.cd', 'lmfdb_label': '298816.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -10803361, 13736209509], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '116.6.0.?', '812.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 25, 'sha_primes': [5], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8559635277946055898162437874', 'prec': 100}, 'szpiro_ratio': 5.765343833794728, '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, 0, 2, 0, 2, 0, -1, 0, 1, 0, 4, 0, -2, 0, 4, 0, 0, 0, 2, 0], 'aplist': [0, 2, 2, -1, 4, -2, 0, 2, 1, 1, -10, 6, 12, 8, -2, 10, -8, 12, 12, 0, 8, 4, 12, 0, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 298816, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '298816.cd', 'trace_hash': 1372261381975686856}
• 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': '0.00041328687346053336281227667111', 'prec': 113}, 'conductor': 298816, 'gens': [], 'heights': [], 'lmfdb_label': '298816.cd2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.014715441858653723034339956448', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8861767434614892137359825790593902477', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[30381, 0, 1]], 'xcoord_integral_points': [30381]}
• lmfdb_label 298816.cd2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12654741
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '298816.cd2', 'torsion': [2, 2]}
  • id: 12654742
    {'degree': 4, 'field': [-28, 0, -2, 0, 1], 'lmfdb_label': '298816.cd2', 'torsion': [4]}
  • id: 12654745
    {'degree': 8, 'field': [-4332, 0, -134, 0, 228, 0, 0, 0, 1], 'lmfdb_label': '298816.cd2', 'torsion': [6]}
  • id: 12654743
    {'degree': 8, 'field': [256, 0, -10, 0, -23, 0, 2, 0, 1], 'lmfdb_label': '298816.cd2', 'torsion': [2, 4]}
  • id: 12654744
    {'degree': 8, 'field': [644, -728, 690, 72, -25, -16, 10, -4, 1], 'lmfdb_label': '298816.cd2', 'torsion': [2, 4]}
  • id: 12654746
    {'degree': 16, 'field': [-68333, 30700, -29836, -188212, 264915, 7364, -140036, 96852, 33662, -23324, -274, 2212, -413, 44, 38, -4, 1], 'lmfdb_label': '298816.cd2', 'torsion': [8]}
  • id: 12654747
    {'degree': 16, 'field': [17440628, -23118104, 20572726, 4393928, -430000, -2189328, 843100, -95680, 26207, -8044, 8376, -4024, 974, -168, 44, -8, 1], 'lmfdb_label': '298816.cd2', '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: 7403874
    {'conductor': 298816, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '298816.cd2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7403875
    {'conductor': 298816, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '298816.cd2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7403876
    {'conductor': 298816, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '298816.cd2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 7403877
    {'conductor': 298816, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '298816.cd2', 'prime': 29, 'reduction_type': 1, '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: 3544350
    {'adelic_gens': [[1, 0, 4, 1], [785, 4, 758, 9], [3, 4, 8, 11], [1, 2, 2, 5], [809, 4, 808, 5], [1, 4, 0, 1], [118, 1, 347, 0], [205, 610, 608, 203]], 'adelic_image': '812.12.0.?', 'conductor': 298816, 'lmfdb_label': '298816.cd2', 'prime': 0}
  • id: 1054611
    {'conductor': 298816, 'elladic_image': '2.3.0.1', 'lmfdb_label': '298816.cd2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 298816.cd does not appear in ec_padic