Elliptic curve data - 96330.de1

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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': '96330di', 'Clabel': '96330di4', 'Cnumber': 4, 'abc_quality': 1.0509450729444698, 'absD': 3888412979416392735360, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [1, 0, 0, -208451955, -1158409548063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 96330, 'degree': 20643840, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3558817655476025665068267702', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2, 4], 'jinv': [207530301091125281552569, 805586668007040], 'lmfdb_iso': '96330.de', 'lmfdb_label': '96330.de1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1233444, -527363678], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '40.12.0.v.1', '104.12.0.?', '120.24.0.?', '260.12.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0894066150738004088576748982', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0734070868168341984800830494', 'prec': 100}, 'szpiro_ratio': 6.019698428004124, '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, 1, 1, 1, 1, -4, 1, 1, 1, 0, 1, 0, -4, 1, 1, -2, 1, 1, 1], 'aplist': [1, 1, 1, -4, 0, 0, -2, 1, 0, 10, 0, -2, -2, -4, 0, -6, -8, 6, -12, 0, 14, 0, 12, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 96330, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '96330.de', 'trace_hash': 2004755427293731203}
• 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': '0.0012165168664581640754078228914', 'prec': 110}, 'conductor': 96330, 'gens': [[-8328, 5703, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0894066150738004088576748982', 'prec': 100}], 'lmfdb_label': '96330.de1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.039732707732747672795129584117', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.119820898877791944479316637512792605', 'prec': 130}, 'tamagawa_product': 1120, 'torsion_generators': [[-33393, 33393, 2]], 'xcoord_integral_points': [-8328, 22452, 32658]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [2, 0], '5': [2, 0], '7': [1, 0], '11': [1, 1, 0], '13': 'a', '17': [1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '96330.de1'}
• ec_torsion_growth •

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

  
  
  • id: 4483967
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [2, 2]}
  • id: 4483969
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [4]}
  • id: 4483968
    {'degree': 2, 'field': [65, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [4]}
  • id: 4483970
    {'degree': 4, 'field': [81, 0, 8, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [2, 4]}
  • id: 4483974
    {'degree': 8, 'field': [-1692636, 20544, -16044, -9001, 4504, -7, 7, -4, 1], 'lmfdb_label': '96330.de1', 'torsion': [6]}
  • id: 4483973
    {'degree': 8, 'field': [13932, 4752, 3720, 576, 232, -24, 4, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [8]}
  • id: 4483972
    {'degree': 8, 'field': [9308601, 0, -767124, 0, 27646, 0, -164, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [8]}
  • id: 4483971
    {'degree': 8, 'field': [11978236, 2810480, -101656, -6080, -6864, -760, -36, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [2, 4]}
  • id: 4483980
    {'degree': 16, 'field': [23040000, 0, 36864000, 0, -6508800, 0, -429664, 0, -32608, 0, 12776, 0, 1396, 0, 52, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [12]}
  • id: 4483977
    {'degree': 16, 'field': [300083481, 5872248, 112212552, 11695680, 18837568, 2560872, 2300640, 223872, 188250, 16632, 9448, 384, 480, -24, 0, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [2, 8]}
  • id: 4483979
    {'degree': 16, 'field': [2079360000, 0, 1979136000, 0, 716313600, 0, 108519425, 0, 6603650, 0, 247745, 0, 7105, 0, 130, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [12]}
  • id: 4483976
    {'degree': 16, 'field': [35662079385, 2182895460, -5658989580, -1373898780, 528817791, 148691616, -20805350, -9022060, 1030476, 346900, -50296, -14100, 1751, 280, -30, -4, 1], 'lmfdb_label': '96330.de1', 'torsion': [2, 8]}
  • id: 4483978
    {'degree': 16, 'field': [1865092021416, 1016445776112, -1042633954596, 54029590680, -31151423550, 4973780864, -1674005671, 13145912, -2409640, -711550, 268205, -67292, 10093, 490, -50, -8, 1], 'lmfdb_label': '96330.de1', 'torsion': [2, 6]}
  • id: 4483975
    {'degree': 16, 'field': [176774202557316, 36255631164480, 3717937267200, -97201416000, -191808734204, -29882034160, -2067808000, -32947520, 81829621, 8336440, 288800, 16720, -14294, -760, 0, 0, 1], 'lmfdb_label': '96330.de1', 'torsion': [4, 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: 2362537
    {'conductor': 96330, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '96330.de1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 2362538
    {'conductor': 96330, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '96330.de1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 2362539
    {'conductor': 96330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '96330.de1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2362540
    {'conductor': 96330, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '96330.de1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2362541
    {'conductor': 96330, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '96330.de1', 'prime': 19, 'reduction_type': 1, '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: 2297856
    {'adelic_gens': [[508, 481, 1391, 846], [1, 0, 8, 1], [859, 1456, 338, 261], [1, 8, 0, 1], [479, 0, 0, 1559], [1, 4, 4, 17], [521, 728, 884, 1353], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [976, 923, 169, 1158]], 'adelic_image': '1560.48.0.?', 'conductor': 96330, 'lmfdb_label': '96330.de1', 'prime': 0}
  • id: 388593
    {'conductor': 96330, 'elladic_image': '4.6.0.1', 'lmfdb_label': '96330.de1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5009376
    {'lmfdb_iso': '96330.de', 'p': 7, 'prec': 20, 'unit': 70799619707274127, 'val': 0}
  • id: 5009380
    {'lmfdb_iso': '96330.de', 'p': 17, 'prec': 20, 'unit': 141085308549053943931628, 'val': 1}
  • id: 5009379
    {'lmfdb_iso': '96330.de', 'p': 29, 'prec': 20, 'unit': 897815479022801197581526680, 'val': 1}
  • id: 5009375
    {'lmfdb_iso': '96330.de', 'p': 37, 'prec': 20, 'unit': 216746289036560932802492931125, 'val': 1}
  • id: 5009377
    {'lmfdb_iso': '96330.de', 'p': 41, 'prec': 20, 'unit': 2576394019410591634500396809608, 'val': 1}
  • id: 5009378
    {'lmfdb_iso': '96330.de', 'p': 43, 'prec': 20, 'unit': 10209537675569312350318715796586, 'val': 1}
  • id: 5009382
    {'lmfdb_iso': '96330.de', 'p': 53, 'prec': 20, 'unit': 426360885464322374704607684311595, 'val': 1}
  • id: 5009385
    {'lmfdb_iso': '96330.de', 'p': 59, 'prec': 20, 'unit': 2410148945801415182347994345191605, 'val': 1}
  • id: 5009386
    {'lmfdb_iso': '96330.de', 'p': 61, 'prec': 20, 'unit': 6360386625162169679178933161075109, 'val': 1}
  • id: 5009374
    {'lmfdb_iso': '96330.de', 'p': 67, 'prec': 20, 'unit': 28096920377761626597564840623101357, 'val': 1}
  • id: 5009383
    {'lmfdb_iso': '96330.de', 'p': 73, 'prec': 20, 'unit': 41922613214007100105405180507592015, 'val': 1}
  • id: 5009381
    {'lmfdb_iso': '96330.de', 'p': 83, 'prec': 20, 'unit': 646456084547913685883557560911352715, 'val': 1}
  • id: 5009384
    {'lmfdb_iso': '96330.de', 'p': 89, 'prec': 20, 'unit': 557782929108838096960020036535604516, 'val': 1}
  • id: 5009373
    {'lmfdb_iso': '96330.de', 'p': 97, 'prec': 20, 'unit': 13362685795513268649750289289420888766, 'val': 1}