Elliptic curve data - 323400.cz2

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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': '323400cz', 'Clabel': '323400cz3', 'Cnumber': 3, 'abc_quality': 0.9289929892870921, 'absD': 16309216956463200000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, -1, 0, -15994008, 23846064012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 323400, 'degree': 18874368, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0322232672144463342652552006', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4], 'jinv': [120186986927618, 4332064275], 'lmfdb_iso': '323400.cz', 'lmfdb_label': '323400.cz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13056, -551700], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.5', '56.12.0.z.1', '88.12.0.?', '140.12.0.?', '280.24.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.211110595819751973717836988', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61916432095645629411306971759', 'prec': 103}, 'szpiro_ratio': 4.837904436630764, '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, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -2, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, -1, 0, 0, 1, -2, -2, 0, 0, -2, 4, -6, -6, -12, 4, -6, 4, 10, 4, 8, -2, 0, -16, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 323400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '323400.cz', 'trace_hash': 1956188706163126592}
• 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': '0.0023240439369450840086150005665', 'prec': 110}, 'conductor': 323400, 'gens': [[782829, 97017264, 17]], 'heights': [{'__RealLiteral__': 0, 'data': '11.211110595819751973717836988', 'prec': 100}], 'lmfdb_label': '323400.cz2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12286626949298812550700016981', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5098693431267372760037761150961443874', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[2637, 0, 1]], 'xcoord_integral_points': [2637]}
• lmfdb_label 323400.cz2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13587500
    {'degree': 2, 'field': [-770, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [4]}
  • id: 13587501
    {'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [4]}
  • id: 13587499
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [2, 2]}
  • id: 13587502
    {'degree': 4, 'field': [169, 0, -114, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [2, 4]}
  • id: 13587506
    {'degree': 8, 'field': [-4501875, 0, 2071720, 0, -7350, 0, 0, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [6]}
  • id: 13587505
    {'degree': 8, 'field': [529, 0, -47, 0, 20, 0, 1, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [8]}
  • id: 13587503
    {'degree': 8, 'field': [627264, 0, 0, 0, 1496, 0, 0, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [2, 4]}
  • id: 13587504
    {'degree': 8, 'field': [2725031, 300260, -288858, -22624, 10863, 536, -174, -4, 1], 'lmfdb_label': '323400.cz2', 'torsion': [8]}
  • id: 13587508
    {'degree': 16, 'field': [5769, 4404, 20156, -171748, 451826, -617624, 541228, -367196, 200643, -87288, 33060, -9644, 2578, -476, 88, -8, 1], 'lmfdb_label': '323400.cz2', 'torsion': [2, 8]}
  • id: 13587509
    {'degree': 16, 'field': [436690409, 1250184328, -191222000, -1793795256, 119102056, 843658232, -135842408, -116462864, 19130745, 6351544, -969076, -159400, 22502, 1848, -244, -8, 1], 'lmfdb_label': '323400.cz2', 'torsion': [2, 8]}
  • id: 13587507
    {'degree': 16, 'field': [1507846561, 0, 174313136, 0, -22984032, 0, -1614920, 0, 231070, 0, 1552, 0, -720, 0, 8, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [4, 4]}
  • id: 13587512
    {'degree': 16, 'field': [16136523001, 42021869828, 41715607760, 15929889680, -3063606660, -5283317956, -1935112968, -201691240, 54920830, 17818140, 1436512, -40864, -4660, 420, -40, -8, 1], 'lmfdb_label': '323400.cz2', 'torsion': [12]}
  • id: 13587511
    {'degree': 16, 'field': [712547015625, 0, 49049819010000, 0, -5570175643100, 0, -47177416800, 0, 3357875550, 0, 50484240, 0, -262860, 0, 0, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [12]}
  • id: 13587510
    {'degree': 16, 'field': [1425275493458041, 0, -176565660769184, 0, 4324074182932, 0, -73501843632, 0, 1367392110, 0, 2900352, 0, -1148, 0, -176, 0, 1], 'lmfdb_label': '323400.cz2', 'torsion': [2, 6]}
• 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: 8003502
    {'conductor': 323400, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '323400.cz2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8003503
    {'conductor': 323400, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '323400.cz2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8003504
    {'conductor': 323400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '323400.cz2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8003505
    {'conductor': 323400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '323400.cz2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8003506
    {'conductor': 323400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '323400.cz2', 'prime': 11, '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: 3689858
    {'adelic_gens': [[1, 0, 8, 1], [2463, 0, 0, 3079], [1, 8, 0, 1], [2696, 2395, 2545, 726], [1, 4, 4, 17], [879, 1840, 2900, 1199], [696, 1625, 105, 2616], [456, 1235, 285, 2466], [3073, 8, 3072, 9], [7, 6, 3074, 3075]], 'adelic_image': '3080.48.0.?', 'conductor': 323400, 'lmfdb_label': '323400.cz2', 'prime': 0}
  • id: 1129174
    {'conductor': 323400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '323400.cz2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 323400.cz does not appear in ec_padic