Elliptic curve data - 323400.cz4

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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': '323400cz1', 'Cnumber': 1, 'abc_quality': 0.8589273897593946, 'absD': 10851743756700000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, -1, 0, 445492, -109790988], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 323400, 'degree': 4718592, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3390760866545010248480230791', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 77, 'isogeny_degrees': [1, 2, 4], 'jinv': [20777545136, 23059575], 'lmfdb_iso': '323400.cz', 'lmfdb_label': '323400.cz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 364, 2436], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '14.6.0.b.1', '20.12.0-4.c.1.2', '28.12.0.g.1', '88.12.0.?', '140.24.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8027776489549379934294592470', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.099303935536497312050145626457', 'prec': 107}, 'szpiro_ratio': 3.9911579137474, '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': '0.0092961757477803360344600022659', 'prec': 110}, 'conductor': 323400, 'gens': [[761, 25872, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8027776489549379934294592470', 'prec': 100}], 'lmfdb_label': '323400.cz4', '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': 64, 'torsion_generators': [[222, 0, 1]], 'xcoord_integral_points': [222, 761, 1322]}
• lmfdb_label 323400.cz4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13587478
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '323400.cz4', 'torsion': [4]}
  • id: 13587477
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '323400.cz4', 'torsion': [2, 2]}
  • id: 13587479
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '323400.cz4', 'torsion': [4]}
  • id: 13587480
    {'degree': 4, 'field': [4, 2, 5, -1, 1], 'lmfdb_label': '323400.cz4', 'torsion': [2, 4]}
  • id: 13587484
    {'degree': 8, 'field': [-4501875, 0, 2071720, 0, -7350, 0, 0, 0, 1], 'lmfdb_label': '323400.cz4', 'torsion': [6]}
  • id: 13587481
    {'degree': 8, 'field': [214, 58, 209, -66, -10, 6, -4, -2, 1], 'lmfdb_label': '323400.cz4', 'torsion': [2, 4]}
  • id: 13587483
    {'degree': 8, 'field': [29929, 0, -1410, 0, 319, 0, -30, 0, 1], 'lmfdb_label': '323400.cz4', 'torsion': [8]}
  • id: 13587482
    {'degree': 8, 'field': [1890505, 454360, -441754, -25460, 13351, -748, 254, -4, 1], 'lmfdb_label': '323400.cz4', 'torsion': [8]}
  • id: 13587485
    {'degree': 16, 'field': [1089, 198, 10638, -17334, 21028, -11320, 3360, -58, 741, -1472, 1056, -530, 228, -70, 18, -4, 1], 'lmfdb_label': '323400.cz4', 'torsion': [4, 4]}
  • id: 13587486
    {'degree': 16, 'field': [52200625, 0, 14811250, 0, 1772525, 0, -634350, 0, -9076, 0, 1950, 0, 629, 0, -50, 0, 1], 'lmfdb_label': '323400.cz4', 'torsion': [2, 8]}
  • id: 13587488
    {'degree': 16, 'field': [105074816, -158474624, 199593856, -85258656, 50476048, -10234504, 4742284, -1073528, 183213, 58576, -13264, 512, 218, -168, 44, -8, 1], 'lmfdb_label': '323400.cz4', 'torsion': [2, 6]}
  • id: 13587487
    {'degree': 16, 'field': [1294650225, -547796700, 784616790, -501039480, 328207504, -118656648, 81049374, -33822040, 6338573, 1308368, -160390, -53176, 7164, 756, -88, -8, 1], 'lmfdb_label': '323400.cz4', 'torsion': [2, 8]}
  • id: 13587490
    {'degree': 16, 'field': [23066015625, 0, -8255925000, 0, 26207805150, 0, -73386000, 0, 1584375, 0, -157040, 0, 2550, 0, 0, 0, 1], 'lmfdb_label': '323400.cz4', 'torsion': [12]}
  • id: 13587489
    {'degree': 16, 'field': [342203106091, 146076305606, -218543445120, -15186473470, 24285547420, -5398067172, -1218399862, 328954510, 112058085, 5519740, -168742, -22242, 2530, -970, -30, -4, 1], 'lmfdb_label': '323400.cz4', '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: 8003492
    {'conductor': 323400, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '323400.cz4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8003493
    {'conductor': 323400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '323400.cz4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8003494
    {'conductor': 323400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '323400.cz4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8003495
    {'conductor': 323400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '323400.cz4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8003496
    {'conductor': 323400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '323400.cz4', 'prime': 11, 'reduction_type': 1, '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: 3689860
    {'adelic_gens': [[2241, 1620, 390, 1311], [1, 0, 8, 1], [2463, 0, 0, 3079], [1, 8, 0, 1], [1, 4, 4, 17], [2521, 1240, 1460, 1881], [3011, 2390, 1930, 2851], [3073, 8, 3072, 9], [7, 6, 3074, 3075], [2104, 1845, 1315, 614]], 'adelic_image': '3080.48.0.?', 'conductor': 323400, 'lmfdb_label': '323400.cz4', 'prime': 0}
  • id: 1129176
    {'conductor': 323400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '323400.cz4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 323400.cz does not appear in ec_padic