Elliptic curve data - 7502.b3

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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': '7502a', 'Clabel': '7502a2', 'Cnumber': 2, 'abc_quality': 1.0250423431234554, 'absD': 6809880484, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2728, 'ainvs': [1, -1, 0, -2503, -47415], 'analytic_rank': 0, 'bad_primes': [2, 11, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7502, 'degree': 5760, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74429636060017809028453625332', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [979146657, 3844], 'lmfdb_iso': '7502.b', 'lmfdb_label': '7502.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -21, 41], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '44.12.0-2.a.1.1', '88.24.0.?', '124.12.0.?', '248.24.0.?', '1364.24.0.?', '2728.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45465127579900718174643553566', 'prec': 107}, 'szpiro_ratio': 3.9325180814226264, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 1, -2, 0, 0, -1, -3, 2, 0, 0, -2, 0, 0, 1, 6, 3, -4, -2], 'aplist': [-1, 0, -2, 0, 0, -2, 6, -4, 8, -2, -1, 10, 6, -8, -8, -6, -12, 6, -12, 8, -10, 8, -8, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 7502, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '7502.b', 'trace_hash': 533449342675441868}
• 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': '0.22569004097211410351923963400', 'prec': 103}, 'conductor': 7502, 'gens': [], 'heights': [], 'lmfdb_label': '7502.b3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.67511656385020644056256904898', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.67511656385020644056256904898133726086', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-30, 15, 1], [58, -29, 1]], 'xcoord_integral_points': [-30, 58]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '11': 'a', '31': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '7502.b3'}
• ec_torsion_growth •

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

  
  
  • id: 394744
    {'degree': 4, 'field': [23, -2, 3, -2, 1], 'lmfdb_label': '7502.b3', 'torsion': [2, 4]}
  • id: 394745
    {'degree': 4, 'field': [100, 0, -42, 0, 1], 'lmfdb_label': '7502.b3', 'torsion': [2, 4]}
  • id: 394743
    {'degree': 4, 'field': [350, 6, -5, -2, 1], 'lmfdb_label': '7502.b3', 'torsion': [2, 4]}
  • id: 394746
    {'degree': 8, 'field': [-3648, 4488, -2916, -396, 24, 0, -6, 0, 1], 'lmfdb_label': '7502.b3', 'torsion': [2, 6]}
  • id: 394749
    {'degree': 16, 'field': [261671, -85280, 147028, -139576, 115032, -69048, 49616, -27176, 13101, -5576, 2620, -1008, 350, -112, 36, -8, 1], 'lmfdb_label': '7502.b3', 'torsion': [2, 8]}
  • id: 394747
    {'degree': 16, 'field': [19919241, 14578152, -9671258, -9179196, 3000296, 1914328, -647398, 1228, 11397, -13112, 8294, -3572, 1020, -224, 52, -8, 1], 'lmfdb_label': '7502.b3', 'torsion': [4, 4]}
  • id: 394748
    {'degree': 16, 'field': [31780816, 1246240, -2443184, 2442160, -1298955, -25238, 202862, -160354, 33086, 3352, 522, -510, -6, 14, 18, -8, 1], 'lmfdb_label': '7502.b3', 'torsion': [2, 8]}
  • id: 394750
    {'degree': 16, 'field': [966463744, 0, 27520512, 0, -40393760, 0, -30182016, 0, 3862644, 0, 16272, 0, -4306, 0, -48, 0, 1], 'lmfdb_label': '7502.b3', 'torsion': [2, 8]}
• 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: 155042
    {'conductor': 7502, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7502.b3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 155043
    {'conductor': 7502, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7502.b3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 155044
    {'conductor': 7502, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7502.b3', 'prime': 31, '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: 1713683
    {'adelic_gens': [[1, 0, 4, 1], [1, 4, 0, 1], [2231, 0, 0, 2727], [2725, 4, 2724, 5], [1365, 1738, 0, 1], [2047, 748, 0, 1], [1057, 748, 1122, 1497]], 'adelic_image': '2728.48.0.?', 'conductor': 7502, 'lmfdb_label': '7502.b3', 'prime': 0}
  • id: 37033
    {'conductor': 7502, 'elladic_image': '8.12.0.3', 'lmfdb_label': '7502.b3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 7502.b does not appear in ec_padic