Elliptic curve data - 61347.j1

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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': '61347ba', 'Clabel': '61347ba1', 'Cnumber': 1, 'abc_quality': 0.7763557929752688, 'absD': 61347, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [1, 0, 0, 3, 12], 'analytic_rank': 1, 'bad_primes': [3, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 61347, 'degree': 4896, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.40098829027281326407401061016', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1], 'jinv': [143, 3], 'lmfdb_iso': '61347.j', 'lmfdb_label': '61347.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 3, 12], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5424800195410609752857190126', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2281290619827978107599157801', 'prec': 103}, 'szpiro_ratio': 1.6736705660923792, '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, 2, -1, 3, 3, 1, -2, 0, -1, 0, -3, 2, -1, 0, -1, 5, -2], 'aplist': [-1, 1, 2, 3, 0, 0, 0, 5, -2, -8, 3, -3, -8, 11, 10, 2, 0, 1, -12, 0, -6, -8, -6, -8, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 61347, 'isogeny_matrix': [[1]], 'lmfdb_iso': '61347.j', 'trace_hash': 1730232607253126937}
• 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': '2.2299442397112699399512008677', 'prec': 100}, 'conductor': 61347, 'gens': [[11, 32, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5424800195410609752857190126', 'prec': 100}], 'lmfdb_label': '61347.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.6206416391210023143207273860', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6629290058424840285503817331187136565', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [11]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': 'a', '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '61347.j1'}
• ec_torsion_growth •

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

  
  
  • id: 2941115
    {'degree': 3, 'field': [-143, 0, 0, 1], 'lmfdb_label': '61347.j1', 'torsion': [2]}
  • id: 2941116
    {'degree': 6, 'field': [768, 0, -95, 0, 1, 0, 1], 'lmfdb_label': '61347.j1', 'torsion': [2, 2]}
  • id: 2941117
    {'degree': 8, 'field': [81, -1296, 1350, -109, 58, -7, 7, -4, 1], 'lmfdb_label': '61347.j1', 'torsion': [3]}
  • id: 2941118
    {'degree': 12, 'field': [-52560, 203616, -218820, 59376, 36805, -25878, 6004, 1174, -630, 118, 16, -6, 1], 'lmfdb_label': '61347.j1', '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: 1478867
    {'conductor': 61347, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '61347.j1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1478868
    {'conductor': 61347, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '61347.j1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1478869
    {'conductor': 61347, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '61347.j1', 'prime': 13, '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

  
  {'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 61347, 'lmfdb_label': '61347.j1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 3117937
    {'lmfdb_iso': '61347.j', 'p': 5, 'prec': 20, 'unit': 285178282364, 'val': 1}
  • id: 3117938
    {'lmfdb_iso': '61347.j', 'p': 7, 'prec': 20, 'unit': 7191994916097148, 'val': 1}
  • id: 3117934
    {'lmfdb_iso': '61347.j', 'p': 19, 'prec': 20, 'unit': 513700966401714400703370, 'val': 1}
  • id: 3117947
    {'lmfdb_iso': '61347.j', 'p': 23, 'prec': 20, 'unit': 21753222704835031118488094, 'val': 1}
  • id: 3117942
    {'lmfdb_iso': '61347.j', 'p': 29, 'prec': 20, 'unit': 109118659812872172655022774, 'val': 2}
  • id: 3117939
    {'lmfdb_iso': '61347.j', 'p': 31, 'prec': 20, 'unit': 17569098550180671030349276073, 'val': 1}
  • id: 3117951
    {'lmfdb_iso': '61347.j', 'p': 37, 'prec': 20, 'unit': 114425780526367017861479757033, 'val': 1}
  • id: 3117940
    {'lmfdb_iso': '61347.j', 'p': 41, 'prec': 20, 'unit': 289192178704375743021872344226, 'val': 1}
  • id: 3117941
    {'lmfdb_iso': '61347.j', 'p': 43, 'prec': 20, 'unit': 6139129159472625088085428162558, 'val': 1}
  • id: 3117943
    {'lmfdb_iso': '61347.j', 'p': 47, 'prec': 20, 'unit': 8008866151338063991005711011052, 'val': 1}
  • id: 3117945
    {'lmfdb_iso': '61347.j', 'p': 53, 'prec': 20, 'unit': 155166139027231130701058603274922, 'val': 1}
  • id: 3117950
    {'lmfdb_iso': '61347.j', 'p': 61, 'prec': 20, 'unit': 25288471473474534844981603688058069, 'val': -1}
  • id: 3117936
    {'lmfdb_iso': '61347.j', 'p': 67, 'prec': 20, 'unit': 24726944021719715383641473872873767, 'val': 1}
  • id: 3117946
    {'lmfdb_iso': '61347.j', 'p': 73, 'prec': 20, 'unit': 231544854334810449008224071699705527, 'val': 1}
  • id: 3117949
    {'lmfdb_iso': '61347.j', 'p': 79, 'prec': 20, 'unit': 930725271984700903897842011530985298, 'val': 1}
  • id: 3117944
    {'lmfdb_iso': '61347.j', 'p': 83, 'prec': 20, 'unit': 1053806305521172344592369290223233854, 'val': 1}
  • id: 3117948
    {'lmfdb_iso': '61347.j', 'p': 89, 'prec': 20, 'unit': 5411475539997144377502340518695149211, 'val': 1}
  • id: 3117935
    {'lmfdb_iso': '61347.j', 'p': 97, 'prec': 20, 'unit': 53160419966260676736899464111954685608, 'val': 1}