Elliptic curve data - 323400.ct2

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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': '323400ct', 'Clabel': '323400ct1', 'Cnumber': 1, 'abc_quality': 0.8162978097201793, 'absD': 2608984224000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4620, 'ainvs': [0, -1, 0, -7268, -223068], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 323400, 'degree': 442368, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1343720492099512178549525688', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 71, 'isogeny_degrees': [1, 2], 'jinv': [11279504, 693], 'lmfdb_iso': '323400.ct', 'lmfdb_label': '323400.ct2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -148, 608], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.b.1', '770.6.0.?', '924.6.0.?', '4620.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.64709888397041387673473145163', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70304062379952740129273505053', 'prec': 107}, 'szpiro_ratio': 3.0179333641888246, '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, -4, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, -1, 0, 0, 1, -4, 2, -4, -2, 0, 2, -8, 6, 4, 0, -6, -4, -6, 4, 0, 4, -14, 6, 0, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 323400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '323400.ct', 'trace_hash': 1388001611521589853}
• 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': '0.10344201152400063743419386751', 'prec': 103}, 'conductor': 323400, 'gens': [[-44, 98, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.64709888397041387673473145163', 'prec': 103}], 'lmfdb_label': '323400.ct2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.51904854153475748345728330798', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3740117112578012900056206950060793517', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-58, 0, 1]], 'xcoord_integral_points': [-58, -44, -43, 138, 152, 35432]}
• lmfdb_label 323400.ct2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13587393
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '323400.ct2', 'torsion': [2, 2]}
  • id: 13587394
    {'degree': 4, 'field': [181, 2, 14, -2, 1], 'lmfdb_label': '323400.ct2', 'torsion': [4]}
  • id: 13587397
    {'degree': 8, 'field': [-349, -613736, 257282, 16202, 5590, -1102, -38, -4, 1], 'lmfdb_label': '323400.ct2', 'torsion': [6]}
  • id: 13587396
    {'degree': 8, 'field': [1052676, 0, -51084, 0, 61, 0, 11, 0, 1], 'lmfdb_label': '323400.ct2', 'torsion': [2, 4]}
  • id: 13587395
    {'degree': 8, 'field': [2295225, 0, -77500, 0, -235, 0, -20, 0, 1], 'lmfdb_label': '323400.ct2', 'torsion': [2, 4]}
  • id: 13587399
    {'degree': 16, 'field': [455625, 0, 1957500, 0, 3802500, 0, -6669000, 0, -7385250, 0, 7758700, 0, -9420, 0, 0, 0, 1], 'lmfdb_label': '323400.ct2', 'torsion': [2, 6]}
  • id: 13587398
    {'degree': 16, 'field': [7540122100, 6071034200, -5045909400, -2136843800, 1291560510, -286505700, 127068340, -27732170, 7792761, -597958, 145138, -14886, 3300, -406, 78, -8, 1], 'lmfdb_label': '323400.ct2', 'torsion': [8]}
• 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: 8003432
    {'conductor': 323400, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '323400.ct2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8003433
    {'conductor': 323400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '323400.ct2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8003434
    {'conductor': 323400, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '323400.ct2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8003435
    {'conductor': 323400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '323400.ct2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8003436
    {'conductor': 323400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '323400.ct2', '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: 3689846
    {'adelic_gens': [[1, 0, 4, 1], [1541, 4, 3082, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1322, 1, 3959, 0], [928, 1, 923, 0], [3469, 1156, 3464, 1155], [4617, 4, 4616, 5], [422, 1, 2099, 0]], 'adelic_image': '4620.12.0.?', 'conductor': 323400, 'lmfdb_label': '323400.ct2', 'prime': 0}
  • id: 1129162
    {'conductor': 323400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '323400.ct2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 323400.ct does not appear in ec_padic