Elliptic curve data - 103488.ia1

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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': '103488hs', 'Clabel': '103488hs2', 'Cnumber': 2, 'abc_quality': 0.9976568680180417, 'absD': 56676082434048, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 1, 0, -253297, 48981743], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 103488, 'degree': 691200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7348915578887949105747667052', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 208, 'isogeny_degrees': [1, 2], 'jinv': [932410994128, 29403], 'lmfdb_iso': '103488.ia', 'lmfdb_label': '103488.ia1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1292, 18312], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '44.6.0.c.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 34496], [5, 2, 34496], [7, 26, 2112], [11, 12, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.046735227292131269631347141557', 'prec': 110}, 'szpiro_ratio': 4.238301456453408, '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, 1, 0, 2, 0, 0, 0, 1, 0, -1, 0, 6, 0, 2, 0, 4, 0, 2, 0], 'aplist': [0, 1, 2, 0, -1, 6, 4, 2, 8, 0, 0, 6, 0, 10, 0, -14, 12, -14, 4, 0, -6, -2, -16, 14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 103488, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '103488.ia', 'trace_hash': 778322067056523204}
• 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': '0.031123780185965777301612454625', 'prec': 107}, 'conductor': 103488, 'gens': [], 'heights': [], 'lmfdb_label': '103488.ia1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.58500504143951771022655560010', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8500504143951771022655560010218451323', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[289, 0, 1]], 'xcoord_integral_points': [289]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': 'a', '11': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '103488.ia1'}
• ec_torsion_growth •

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

  
  
  • id: 4793500
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '103488.ia1', 'torsion': [2, 2]}
  • id: 4793501
    {'degree': 4, 'field': [588, 0, -14, 0, 1], 'lmfdb_label': '103488.ia1', 'torsion': [4]}
  • id: 4793504
    {'degree': 8, 'field': [-28812, 0, 21266, 0, 588, 0, 0, 0, 1], 'lmfdb_label': '103488.ia1', 'torsion': [6]}
  • id: 4793502
    {'degree': 8, 'field': [-6047, 8852, -1820, -1180, 262, 44, -20, -4, 1], 'lmfdb_label': '103488.ia1', 'torsion': [2, 4]}
  • id: 4793503
    {'degree': 8, 'field': [21609, 0, -4116, 0, 2107, 0, -28, 0, 1], 'lmfdb_label': '103488.ia1', 'torsion': [2, 4]}
  • id: 4793505
    {'degree': 16, 'field': [61406577, -3920220, 40286520, 40095540, -3928848, -4007340, 526824, -296244, -86062, 42100, -1000, -796, 1408, 164, -56, -4, 1], 'lmfdb_label': '103488.ia1', 'torsion': [8]}
  • id: 4793506
    {'degree': 16, 'field': [87134328, 451759680, 311345028, 74938500, -37656359, -31857048, -5326476, 3021708, 1826115, 387360, 38146, -396, -1047, -372, -42, 0, 1], 'lmfdb_label': '103488.ia1', '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: 2542344
    {'conductor': 103488, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '103488.ia1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2542345
    {'conductor': 103488, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '103488.ia1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 2542346
    {'conductor': 103488, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '103488.ia1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2542347
    {'conductor': 103488, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '103488.ia1', 'prime': 11, '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: 2343639
    {'adelic_gens': [[1, 2, 2, 5], [46, 1, 43, 0], [3, 4, 8, 11], [100, 37, 33, 100], [1, 4, 0, 1], [13, 4, 26, 9], [1, 0, 4, 1], [129, 4, 128, 5]], 'adelic_image': '132.12.0.?', 'conductor': 103488, 'lmfdb_label': '103488.ia1', 'prime': 0}
  • id: 414363
    {'conductor': 103488, 'elladic_image': '2.3.0.1', 'lmfdb_label': '103488.ia1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 103488.ia does not appear in ec_padic