Elliptic curve data - 136242.bl1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '136242q', 'Clabel': '136242q1', 'Cnumber': 1, 'abc_quality': 0.8216409340298071, 'absD': 42302837665634004, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 58, 'ainvs': [1, -1, 1, -96032, -5744753], 'analytic_rank': 1, 'bad_primes': [2, 3, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 136242, 'degree': 1636992, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8865779879009690576013104270', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1], 'jinv': [9261, 4], 'lmfdb_iso': '136242.bl', 'lmfdb_label': '136242.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -114, -208], 'min_quad_twist_disc': 29, 'modell_images': [], 'modm_images': ['58.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.3099132175448698685030940480', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2349], [3, 6, 58], [29, 254, 162]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1882000289229413084837662157', 'prec': 103}, 'szpiro_ratio': 3.8936027352741918, '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, 0, 1, 1, 0, -5, 1, 0, 1, 4, 0, -2, -5, 0, 1, -2, 0, 8, 1], 'aplist': [1, 0, 1, -5, 4, -2, -2, 8, 3, 0, 4, -4, -2, -6, -6, -11, -1, 4, 7, 1, 10, -2, 1, 8, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 136242, 'isogeny_matrix': [[1]], 'lmfdb_iso': '136242.bl', 'trace_hash': 400712881588664053}
• 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': '0.022979426214018892302072068652', 'prec': 107}, 'conductor': 136242, 'gens': [[-502315, 630812881, 76]], 'heights': [{'__RealLiteral__': 0, 'data': '9.3099132175448698685030940480', 'prec': 100}], 'lmfdb_label': '136242.bl1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28205249398802522626762835136', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.503536967282443996274535188504246344', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': 'a', '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '136242.bl1'}
• ec_torsion_growth •

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

  
  
  • id: 6166293
    {'degree': 3, 'field': [-13, -12, 0, 1], 'lmfdb_label': '136242.bl1', 'torsion': [2]}
  • id: 6166294
    {'degree': 6, 'field': [-29, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '136242.bl1', 'torsion': [2, 2]}
  • id: 6166295
    {'degree': 8, 'field': [-386, -364, -314, -17, 191, -2, -20, -1, 1], 'lmfdb_label': '136242.bl1', 'torsion': [3]}
  • id: 6166296
    {'degree': 12, 'field': [-3817676, -354264, 507732, -375840, -79929, -66816, -41588, -11136, -2967, -348, -18, 0, 1], 'lmfdb_label': '136242.bl1', 'torsion': [4]}
• 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: 3360671
    {'conductor': 136242, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '136242.bl1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3360672
    {'conductor': 136242, 'conductor_valuation': 4, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '136242.bl1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3360673
    {'conductor': 136242, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '136242.bl1', 'prime': 29, 'reduction_type': 0, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [1, 1, 57, 0], [57, 2, 56, 3]], 'adelic_image': '58.2.0.?', 'conductor': 136242, 'lmfdb_label': '136242.bl1', 'prime': 0}
• lmfdb_iso 136242.bl does not appear in ec_padic