Elliptic curve data - 23534.o4

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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': '23534e', 'Clabel': '23534e2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 465510215618, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 20664, 'ainvs': [1, 1, 0, -17685, 897299], 'analytic_rank': 1, 'bad_primes': [2, 7, 41], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 23534, 'degree': 46080, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1712747251071286681189188044', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '23534.o', 'lmfdb_label': '23534.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': 41, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.d.2', '72.72.1.?', '84.24.0.?', '123.8.0.?', '126.108.2.?', '168.48.1.?', '246.24.0.?', '252.216.7.?', '369.24.0.?', '504.432.21.?', '738.72.0.?', '984.48.0.?', '2583.72.0.?', '2952.144.1.?', '3444.48.0.?', '5166.216.2.?', '6888.96.1.?', '10332.432.7.?', '20664.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8532208383397529705054631787', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288212', 'prec': 107}, 'szpiro_ratio': 4.068576199124577, '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, -1, 2, 1, 0, -2, -1, -1, 1, 0, 0, 2, 4, 1, 0, 1, -6, -1, -2, 0], 'aplist': [-1, 2, 0, -1, 0, 4, -6, -2, 0, 6, -4, 2, 0, 8, 12, -6, -6, 8, 4, 0, 2, -8, -6, 6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 23534, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '23534.o', 'trace_hash': 671420854757925317}
• 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': '0.096082368496903031213336157398', 'prec': 107}, 'conductor': 23534, 'gens': [[-1121, 31099, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8532208383397529705054631787', 'prec': 100}], 'lmfdb_label': '23534.o4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.92830088060008320679958614168', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2972948335546006637623160697143408741', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[299, -299, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 0], '5': [1, 5, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': 'a', '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '23534.o4'}
• ec_torsion_growth •

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

  
  
  • id: 1191125
    {'degree': 2, 'field': [-10, -1, 1], 'lmfdb_label': '23534.o4', 'torsion': [6]}
  • id: 1191124
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '23534.o4', 'torsion': [2, 2]}
  • id: 1191127
    {'degree': 4, 'field': [62, 24, -23, -2, 1], 'lmfdb_label': '23534.o4', 'torsion': [2, 6]}
  • id: 1191126
    {'degree': 4, 'field': [3362, 0, -41, 0, 1], 'lmfdb_label': '23534.o4', 'torsion': [4]}
  • id: 1191129
    {'degree': 6, 'field': [-631, -121, 315, 23, -35, -1, 1], 'lmfdb_label': '23534.o4', 'torsion': [18]}
  • id: 1191128
    {'degree': 6, 'field': [20931, -501, 2878, -73, 102, -1, 1], 'lmfdb_label': '23534.o4', 'torsion': [6]}
  • id: 1191132
    {'degree': 8, 'field': [8444, 3556, -2932, -1206, 499, 122, -36, -4, 1], 'lmfdb_label': '23534.o4', 'torsion': [12]}
  • id: 1191130
    {'degree': 8, 'field': [24964, 0, -4640, 0, -710, 0, -8, 0, 1], 'lmfdb_label': '23534.o4', 'torsion': [2, 4]}
  • id: 1191131
    {'degree': 8, 'field': [674041, 0, -42678, 0, 2290, 0, -38, 0, 1], 'lmfdb_label': '23534.o4', 'torsion': [2, 4]}
  • id: 1191136
    {'degree': 12, 'field': [5207, 118982, -252289, -105432, 146555, 29002, -27797, -3122, 2279, 136, -81, -2, 1], 'lmfdb_label': '23534.o4', 'torsion': [2, 18]}
  • id: 1191133
    {'degree': 12, 'field': [1075369, 0, -684493, 0, 195414, 0, -22145, 0, 1542, 0, -61, 0, 1], 'lmfdb_label': '23534.o4', 'torsion': [3, 6]}
  • id: 1191134
    {'degree': 12, 'field': [1208101, 128078, -693757, -35326, 167544, 2646, -21455, 0, 1560, -4, -61, 0, 1], 'lmfdb_label': '23534.o4', 'torsion': [18]}
  • id: 1191135
    {'degree': 12, 'field': [63776196, 0, -13352592, 0, 1109812, 0, -37012, 0, -468, 0, 38, 0, 1], 'lmfdb_label': '23534.o4', 'torsion': [2, 6]}
  • id: 1191138
    {'degree': 16, 'field': [10221596, 23851520, -7973024, -26849072, 1960174, 11575296, -438040, -2510928, 127267, 294608, -21240, -18848, 1746, 616, -68, -8, 1], 'lmfdb_label': '23534.o4', 'torsion': [2, 12]}
  • id: 1191139
    {'degree': 16, 'field': [176077456, 101875776, -72595048, -53207864, 13873230, 13499940, -1692678, -2106032, 169377, 210448, -15518, -13152, 1100, 476, -48, -8, 1], 'lmfdb_label': '23534.o4', 'torsion': [2, 12]}
  • id: 1191137
    {'degree': 16, 'field': [38249189476, 0, -7225528408, 0, 99427766, 0, 25795588, 0, 2721977, 0, 192346, 0, 6864, 0, 126, 0, 1], 'lmfdb_label': '23534.o4', 'torsion': [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: 538679
    {'conductor': 23534, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '23534.o4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 538680
    {'conductor': 23534, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '23534.o4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 538681
    {'conductor': 23534, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '23534.o4', 'prime': 41, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1821283
    {'adelic_gens': [[1, 36, 0, 1], [1, 0, 36, 1], [4060, 4059, 13161, 3322], [5167, 19188, 13366, 5905], [7873, 19188, 13530, 9841], [19, 36, 3240, 6139], [2297, 19188, 0, 1], [1511, 0, 0, 20663], [1, 18, 14, 253], [20629, 36, 20628, 37]], 'adelic_image': '20664.864.21.?', 'conductor': 23534, 'lmfdb_label': '23534.o4', 'prime': 0}
  • id: 108213
    {'conductor': 23534, 'elladic_image': '8.6.0.6', 'lmfdb_label': '23534.o4', 'modell_image': '2B', 'prime': 2}
  • id: 108214
    {'conductor': 23534, 'elladic_image': '9.12.0.1', 'lmfdb_label': '23534.o4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1112824
    {'lmfdb_iso': '23534.o', 'p': 13, 'prec': 20, 'unit': 946824394280136053040, 'val': 1}
  • id: 1112826
    {'lmfdb_iso': '23534.o', 'p': 17, 'prec': 20, 'unit': 233507998760460948479006, 'val': 1}
  • id: 1112827
    {'lmfdb_iso': '23534.o', 'p': 19, 'prec': 20, 'unit': 1355036420186538163978537, 'val': 1}
  • id: 1112823
    {'lmfdb_iso': '23534.o', 'p': 29, 'prec': 20, 'unit': 590147767477274811066252145, 'val': 1}
  • id: 1112833
    {'lmfdb_iso': '23534.o', 'p': 31, 'prec': 20, 'unit': 17544569052975586713826086315, 'val': 1}
  • id: 1112820
    {'lmfdb_iso': '23534.o', 'p': 37, 'prec': 20, 'unit': 267290967698117212820728667177, 'val': 1}
  • id: 1112822
    {'lmfdb_iso': '23534.o', 'p': 43, 'prec': 20, 'unit': 3761185374397112525780420896272, 'val': 1}
  • id: 1112831
    {'lmfdb_iso': '23534.o', 'p': 47, 'prec': 20, 'unit': 15283517949870183250296324677830, 'val': 1}
  • id: 1112828
    {'lmfdb_iso': '23534.o', 'p': 53, 'prec': 20, 'unit': 112542196251728714044622332991961, 'val': 1}
  • id: 1112829
    {'lmfdb_iso': '23534.o', 'p': 59, 'prec': 20, 'unit': 866607459840198300889629831127795, 'val': 1}
  • id: 1112832
    {'lmfdb_iso': '23534.o', 'p': 61, 'prec': 20, 'unit': 8072530881238757765236544122639597, 'val': 1}
  • id: 1112819
    {'lmfdb_iso': '23534.o', 'p': 67, 'prec': 20, 'unit': 16955096508346956715450957796293918, 'val': 1}
  • id: 1112821
    {'lmfdb_iso': '23534.o', 'p': 73, 'prec': 20, 'unit': 25661029480733206536552311174237388, 'val': 1}
  • id: 1112825
    {'lmfdb_iso': '23534.o', 'p': 79, 'prec': 20, 'unit': 454508656040455220372219304863986497, 'val': 1}
  • id: 1112818
    {'lmfdb_iso': '23534.o', 'p': 83, 'prec': 20, 'unit': 2512705244943643714183730929574923093, 'val': 1}
  • id: 1112830
    {'lmfdb_iso': '23534.o', 'p': 89, 'prec': 20, 'unit': 2453910791295547434933719229027964014, 'val': 1}
  • id: 1112817
    {'lmfdb_iso': '23534.o', 'p': 97, 'prec': 20, 'unit': 11201790673923025775912255821986640290, 'val': 1}