Elliptic curve data - 33813.e4

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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': '33813o', 'Clabel': '33813o1', 'Cnumber': 1, 'abc_quality': 0.8584360026236014, 'absD': 686255224239, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [1, -1, 1, 1246, 35768], 'analytic_rank': 1, 'bad_primes': [3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 33813, 'degree': 40960, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95439917367383012345638078877', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [12167, 39], 'lmfdb_iso': '33813.e', 'lmfdb_label': '33813.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1, 0], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.ba.1', '68.12.0-4.c.1.2', '78.6.0.?', '104.12.0.?', '156.12.0.?', '312.24.0.?', '408.24.0.?', '1768.24.0.?', '2652.24.0.?', '5304.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2060950550319018163052388820', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 3757], [13, 14, 2601], [17, 146, 117]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0115136426883327623660091386', 'prec': 103}, 'szpiro_ratio': 3.309180787767471, '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, 0, -1, 2, 0, 4, 3, 0, -2, 4, 0, 1, -4, 0, -1, 0, 0, 0, -2], 'aplist': [-1, 0, 2, 4, 4, 1, 0, 0, 0, -10, -4, 2, 6, -12, 0, -6, -12, 2, -8, 0, -2, -8, -4, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 33813, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '33813.e', 'trace_hash': 329896310909553029}
• 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': '0.14825843473936190136126113249', 'prec': 103}, 'conductor': 33813, 'gens': [[1996, 126960, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '8.2060950550319018163052388820', 'prec': 100}], 'lmfdb_label': '33813.e4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.64037290481316990008721533127', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2549609275637682747567437687398469449', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-21, 10, 1]], 'xcoord_integral_points': [-21]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': 'a', '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '33813.e4'}
• ec_torsion_growth •

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

  
  
  • id: 1681730
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '33813.e4', 'torsion': [4]}
  • id: 1681729
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '33813.e4', 'torsion': [2, 2]}
  • id: 1681731
    {'degree': 2, 'field': [166, -1, 1], 'lmfdb_label': '33813.e4', 'torsion': [4]}
  • id: 1681732
    {'degree': 4, 'field': [196, 0, 11, 0, 1], 'lmfdb_label': '33813.e4', 'torsion': [2, 4]}
  • id: 1681736
    {'degree': 8, 'field': [-10847, -6184, -4220, -647, -295, -35, 4, -4, 1], 'lmfdb_label': '33813.e4', 'torsion': [6]}
  • id: 1681734
    {'degree': 8, 'field': [-491, 790, -76, -314, 85, 50, -16, -4, 1], 'lmfdb_label': '33813.e4', 'torsion': [8]}
  • id: 1681733
    {'degree': 8, 'field': [22152, -37128, 17004, -3432, 2518, -98, 99, -2, 1], 'lmfdb_label': '33813.e4', 'torsion': [2, 4]}
  • id: 1681735
    {'degree': 8, 'field': [23596, -11594, 8441, -1416, 1052, -66, 56, -2, 1], 'lmfdb_label': '33813.e4', 'torsion': [8]}
  • id: 1681741
    {'degree': 16, 'field': [-9971, 91416, -139321, -18148, 166849, -9731, -91114, 3590, 28762, -347, -5536, 8, 637, -2, -40, 0, 1], 'lmfdb_label': '33813.e4', 'torsion': [12]}
  • id: 1681739
    {'degree': 16, 'field': [331600, 219360, -157708, -103372, 12509, 20262, 29030, -14406, -13826, 7332, 2410, -1610, -126, 154, -2, -8, 1], 'lmfdb_label': '33813.e4', 'torsion': [2, 8]}
  • id: 1681738
    {'degree': 16, 'field': [1175616, 333216, 901407, -8814, 316345, -42054, 90606, -20672, 15356, -3950, 2342, -602, 114, 0, 5, -4, 1], 'lmfdb_label': '33813.e4', 'torsion': [2, 8]}
  • id: 1681737
    {'degree': 16, 'field': [43454464, 0, 13387008, 0, 17343616, 0, 790932, 0, -44799, 0, 300, 0, 550, 0, -24, 0, 1], 'lmfdb_label': '33813.e4', 'torsion': [4, 4]}
  • id: 1681740
    {'degree': 16, 'field': [94070601, 0, 5003622, 0, -8397477, 0, 1076631, 0, 76749, 0, -26310, 0, 1699, 0, -23, 0, 1], 'lmfdb_label': '33813.e4', 'torsion': [2, 6]}
  • id: 1681742
    {'degree': 16, 'field': [290054961, 0, 50367171, 0, 15648772, 0, 1897062, 0, 202134, 0, -3169, 0, -660, 0, 0, 0, 1], 'lmfdb_label': '33813.e4', 'torsion': [12]}
• 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: 793325
    {'conductor': 33813, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '33813.e4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 793326
    {'conductor': 33813, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '33813.e4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 793327
    {'conductor': 33813, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '33813.e4', 'prime': 17, '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

  
  
  • id: 1890046
    {'adelic_gens': [[1, 0, 8, 1], [7, 6, 5298, 5299], [1, 8, 0, 1], [1, 4, 4, 17], [3656, 2499, 1037, 4370], [3163, 3162, 442, 1531], [5297, 8, 5296, 9], [3431, 0, 0, 5303], [1036, 935, 2057, 4674], [3401, 1836, 5270, 1055]], 'adelic_image': '5304.48.0.?', 'conductor': 33813, 'lmfdb_label': '33813.e4', 'prime': 0}
  • id: 150840
    {'conductor': 33813, 'elladic_image': '4.6.0.1', 'lmfdb_label': '33813.e4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1651923
    {'lmfdb_iso': '33813.e', 'p': 5, 'prec': 20, 'unit': 565031871366, 'val': 3}
  • id: 1651911
    {'lmfdb_iso': '33813.e', 'p': 7, 'prec': 20, 'unit': 7268069474907078, 'val': 1}
  • id: 1651909
    {'lmfdb_iso': '33813.e', 'p': 11, 'prec': 20, 'unit': 16746824224145863731, 'val': 1}
  • id: 1651915
    {'lmfdb_iso': '33813.e', 'p': 29, 'prec': 20, 'unit': 5426493626072735930782470931, 'val': 1}
  • id: 1651912
    {'lmfdb_iso': '33813.e', 'p': 31, 'prec': 20, 'unit': 13863521163335261185004444409, 'val': 1}
  • id: 1651910
    {'lmfdb_iso': '33813.e', 'p': 37, 'prec': 20, 'unit': 167538511702673071507520126838, 'val': 1}
  • id: 1651913
    {'lmfdb_iso': '33813.e', 'p': 41, 'prec': 20, 'unit': 2776607036511696849952954647469, 'val': 1}
  • id: 1651914
    {'lmfdb_iso': '33813.e', 'p': 43, 'prec': 20, 'unit': 8707786046214525971881054727102, 'val': 1}
  • id: 1651918
    {'lmfdb_iso': '33813.e', 'p': 53, 'prec': 20, 'unit': 498066457574748891037711348959972, 'val': 1}
  • id: 1651921
    {'lmfdb_iso': '33813.e', 'p': 59, 'prec': 20, 'unit': 479654771637547854610331126811740, 'val': 1}
  • id: 1651922
    {'lmfdb_iso': '33813.e', 'p': 61, 'prec': 20, 'unit': 5080330169022197157168313793929018, 'val': 1}
  • id: 1651908
    {'lmfdb_iso': '33813.e', 'p': 67, 'prec': 20, 'unit': 34745860525291820416770834755550226, 'val': 1}
  • id: 1651919
    {'lmfdb_iso': '33813.e', 'p': 73, 'prec': 20, 'unit': 27083019053700961901145982925571986, 'val': 1}
  • id: 1651916
    {'lmfdb_iso': '33813.e', 'p': 79, 'prec': 20, 'unit': 126471802476998654798339757774301592, 'val': 1}
  • id: 1651917
    {'lmfdb_iso': '33813.e', 'p': 83, 'prec': 20, 'unit': 748532989034541197295979959612389888, 'val': 1}
  • id: 1651920
    {'lmfdb_iso': '33813.e', 'p': 89, 'prec': 20, 'unit': 1073887855476038887524465839883039568, 'val': 1}
  • id: 1651907
    {'lmfdb_iso': '33813.e', 'p': 97, 'prec': 20, 'unit': 54220068667504815105595139984339411446, 'val': 1}