Elliptic curve data - 8330.d1

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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': '8330e', 'Clabel': '8330e1', 'Cnumber': 1, 'abc_quality': 0.9996997149990625, 'absD': 2000033000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 14280, 'ainvs': [1, 1, 0, -123, -2267], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 8330, 'degree': 4320, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.46705362610541530389058155294', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-1771561, 17000], 'lmfdb_iso': '8330.d', 'lmfdb_label': '8330.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3, 6], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.1', '680.2.0.?', '2040.8.0.?', '14280.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6571874027530995907163840744', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4165], [3, 2, 833], [5, 6, 1666], [7, 26, 170], [17, 18, 490]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50590144842224134866209481878', 'prec': 107}, 'szpiro_ratio': 3.2045778897632156, '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, -1, 1, 0, -1, -2, 1, 0, -1, -5, 0, 1, 1, 1, 2, 1, -1], 'aplist': [-1, -1, -1, 0, 0, -5, 1, 1, 6, -9, 1, -4, 6, 2, 9, -9, -3, 7, 14, 3, -11, 8, 0, 9, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 8330, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '8330.d', 'trace_hash': 1910853468774099531}
• 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': '0.39293650218679210988940306173', 'prec': 103}, 'conductor': 8330, 'gens': [[27, 109, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6571874027530995907163840744', 'prec': 100}], 'lmfdb_label': '8330.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.62455939221099590828285062287', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0700239140863895354641242379944609738', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [27]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [3, 0], '5': [1, 0], '7': 'a', '11': [1, 3, 0], '13': [1, 0], '17': [4, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '8330.d1'}
• ec_torsion_growth •

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

  
  
  • id: 435386
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '8330.d1', 'torsion': [3]}
  • id: 435387
    {'degree': 3, 'field': [10, -6, -1, 1], 'lmfdb_label': '8330.d1', 'torsion': [2]}
  • id: 435389
    {'degree': 6, 'field': [-12, -6, -29, -33, 2, -3, 1], 'lmfdb_label': '8330.d1', 'torsion': [3]}
  • id: 435390
    {'degree': 6, 'field': [148, 166, 56, -11, -7, -1, 1], 'lmfdb_label': '8330.d1', 'torsion': [6]}
  • id: 435388
    {'degree': 6, 'field': [270, -360, 171, -20, 2, 0, 1], 'lmfdb_label': '8330.d1', 'torsion': [2, 2]}
  • id: 435392
    {'degree': 12, 'field': [16, -216, 968, 54, 363, 9, 205, -138, -6, 12, -1, -3, 1], 'lmfdb_label': '8330.d1', 'torsion': [3, 3]}
  • id: 435393
    {'degree': 12, 'field': [62896, 140368, 159452, 87888, 27888, -40, -735, -734, 427, -60, 31, -6, 1], 'lmfdb_label': '8330.d1', 'torsion': [2, 6]}
  • id: 435391
    {'degree': 12, 'field': [983424296, -1129472656, 303686966, -46795124, 5397185, -524368, 150604, -15944, 1410, -208, -26, -4, 1], 'lmfdb_label': '8330.d1', 'torsion': [4]}
  • id: 435395
    {'degree': 18, 'field': [-499280, -3308520, -9780316, -9052816, 1729654, 748656, -1275963, -848005, 736185, -311528, 78353, -24823, 1906, 691, -171, -20, -1, -3, 1], 'lmfdb_label': '8330.d1', 'torsion': [6]}
  • id: 435394
    {'degree': 18, 'field': [519317, 19572, 2420331, 1058937, 53895, 776439, -530424, -103479, 120003, -76090, 42999, -9711, 792, -471, 75, 78, -18, -3, 1], 'lmfdb_label': '8330.d1', 'torsion': [9]}
• 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: 173284
    {'conductor': 8330, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '8330.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 173285
    {'conductor': 8330, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '8330.d1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 173286
    {'conductor': 8330, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '8330.d1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 173287
    {'conductor': 8330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8330.d1', 'prime': 17, 'reduction_type': 1, '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

  
  
  • id: 1719041
    {'adelic_gens': [[4, 3, 9, 7], [10711, 10206, 1533, 2059], [8159, 0, 0, 14279], [2857, 10206, 6531, 2059], [13686, 10801, 11305, 8331], [7141, 10206, 5103, 2059], [14275, 6, 14274, 7], [1, 6, 0, 1], [3, 4, 8, 11], [8401, 10206, 8883, 2059], [1, 0, 6, 1]], 'adelic_image': '14280.16.0.?', 'conductor': 8330, 'lmfdb_label': '8330.d1', 'prime': 0}
  • id: 40772
    {'conductor': 8330, 'elladic_image': '3.4.0.1', 'lmfdb_label': '8330.d1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 344512
    {'lmfdb_iso': '8330.d', 'p': 13, 'prec': 20, 'unit': 944553943444993340617, 'val': 1}
  • id: 344515
    {'lmfdb_iso': '8330.d', 'p': 19, 'prec': 20, 'unit': 28409457085770023258274200, 'val': -1}
  • id: 344518
    {'lmfdb_iso': '8330.d', 'p': 23, 'prec': 20, 'unit': 9666240477874679417301489, 'val': 1}
  • id: 344511
    {'lmfdb_iso': '8330.d', 'p': 29, 'prec': 20, 'unit': 1577095564598814251154173864, 'val': 1}
  • id: 344522
    {'lmfdb_iso': '8330.d', 'p': 31, 'prec': 20, 'unit': 446749529952496178590223856072, 'val': -1}
  • id: 344507
    {'lmfdb_iso': '8330.d', 'p': 37, 'prec': 20, 'unit': 5965856167251491214601765941, 'val': 1}
  • id: 344509
    {'lmfdb_iso': '8330.d', 'p': 41, 'prec': 20, 'unit': 116712157881752468116258392724, 'val': 1}
  • id: 344510
    {'lmfdb_iso': '8330.d', 'p': 43, 'prec': 20, 'unit': 107762049883683262644451152368, 'val': 1}
  • id: 344520
    {'lmfdb_iso': '8330.d', 'p': 47, 'prec': 20, 'unit': 43696617459900042078339798269200, 'val': 1}
  • id: 344516
    {'lmfdb_iso': '8330.d', 'p': 53, 'prec': 20, 'unit': 419028056635173327755157565715854, 'val': 1}
  • id: 344514
    {'lmfdb_iso': '8330.d', 'p': 59, 'prec': 20, 'unit': 4159667806465023159481422013653908, 'val': 1}
  • id: 344521
    {'lmfdb_iso': '8330.d', 'p': 61, 'prec': 20, 'unit': 69698302219402311809565656484549, 'val': 2}
  • id: 344506
    {'lmfdb_iso': '8330.d', 'p': 67, 'prec': 20, 'unit': 22590493429590289946428242769946886, 'val': 1}
  • id: 344508
    {'lmfdb_iso': '8330.d', 'p': 71, 'prec': 20, 'unit': 5746468752939936770445482596057140, 'val': 1}
  • id: 344517
    {'lmfdb_iso': '8330.d', 'p': 73, 'prec': 20, 'unit': 2499241027565146365404805666940540, 'val': 2}
  • id: 344513
    {'lmfdb_iso': '8330.d', 'p': 79, 'prec': 20, 'unit': 808254168154521461257062393783561420, 'val': 1}
  • id: 344519
    {'lmfdb_iso': '8330.d', 'p': 89, 'prec': 20, 'unit': 6479207604845272608217803025370778135, 'val': 1}
  • id: 344505
    {'lmfdb_iso': '8330.d', 'p': 97, 'prec': 20, 'unit': 26060029241059158227119692275134353488, 'val': 1}