Elliptic curve data - 366912.ch3

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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': '366912ch', 'Clabel': '366912ch1', 'Cnumber': 1, 'abc_quality': 0.9675287458755173, 'absD': 322165003890223742976, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 6552, 'ainvs': [0, 0, 0, 380436, 858833584], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 366912, 'degree': 15925248, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6148290366134634448817734206', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1, 3, 9], 'jinv': [270840023, 14329224], 'lmfdb_iso': '366912.ch', 'lmfdb_label': '366912.ch3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 13, 182], 'min_quad_twist_disc': 168, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '156.8.0.?', '168.8.0.?', '468.24.0.?', '504.24.0.?', '819.36.0.?', '2184.16.0.?', '3276.72.0.?', '6552.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.0292130885748868684573064340', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.052847046911833982505626248228', 'prec': 107}, 'szpiro_ratio': 4.266435683893417, '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, 0, 0, 0, -3, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, -3, 0, -7, 0], 'aplist': [0, 0, -3, 0, 3, 1, -3, -7, -9, -9, 4, 7, 12, 1, 0, -6, -12, -1, -14, -12, 7, -10, 6, -6, 10], 'class_deg': 9, 'class_size': 3, 'conductor': 366912, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '366912.ch', 'trace_hash': 1089923596464897116}
• 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': '0.0053553561292776898068066638018', 'prec': 110}, 'conductor': 366912, 'gens': [[-154, 28224, 1], [581, 35721, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6695691304856479439753624219', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.9068983639578353890460874721', 'prec': 100}], 'lmfdb_label': '366912.ch3', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.13046013780560084159600873909', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.646129823296303652736480066462971002', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [], 'xcoord_integral_points': [-154, 372, 581, 7142]}
• lmfdb_label 366912.ch3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15240578
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '366912.ch3', 'torsion': [3]}
  • id: 15240579
    {'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '366912.ch3', 'torsion': [2]}
  • id: 15240582
    {'degree': 6, 'field': [-1287, -11232, 6162, 174, -185, -2, 1], 'lmfdb_label': '366912.ch3', 'torsion': [9]}
  • id: 15240583
    {'degree': 6, 'field': [-42, 0, 85, 0, -16, 0, 1], 'lmfdb_label': '366912.ch3', 'torsion': [6]}
  • id: 15240580
    {'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '366912.ch3', 'torsion': [2, 2]}
  • id: 15240581
    {'degree': 6, 'field': [11025, 7644, 588, -182, 42, 0, 1], 'lmfdb_label': '366912.ch3', 'torsion': [3]}
  • id: 15240584
    {'degree': 12, 'field': [-428064, 0, 22736, 0, -145824, 0, 8344, 0, 2030, 0, 81, 0, 1], 'lmfdb_label': '366912.ch3', 'torsion': [4]}
  • id: 15240587
    {'degree': 12, 'field': [202006, -40740, 96518, 107196, 11905, 12880, 6430, -1040, 820, -84, 40, -4, 1], 'lmfdb_label': '366912.ch3', 'torsion': [2, 6]}
  • id: 15240586
    {'degree': 12, 'field': [1382976, 0, -954912, 0, 252448, 0, -32032, 0, 2100, 0, -70, 0, 1], 'lmfdb_label': '366912.ch3', 'torsion': [9]}
  • id: 15240585
    {'degree': 12, 'field': [5300100, -8681400, 1340742, 2001888, 60979, -7896, -11962, -2856, 1257, -84, -40, 0, 1], 'lmfdb_label': '366912.ch3', 'torsion': [3, 3]}
  • id: 15240589
    {'degree': 18, 'field': [-98957873, 70431718, 303394973, -720421898, 647261174, -312909296, 62131497, 60831812, -21976451, -3353986, 1460605, 302162, -76761, -19082, 3254, 526, -70, -8, 1], 'lmfdb_label': '366912.ch3', 'torsion': [18]}
  • id: 15240588
    {'degree': 18, 'field': [2000376, 0, -30901556, 0, 258267338, 0, -12363631, 0, 3425100, 0, 193844, 0, -27762, 0, -196, 0, 14, 0, 1], 'lmfdb_label': '366912.ch3', 'torsion': [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: 9076284
    {'conductor': 366912, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '366912.ch3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9076285
    {'conductor': 366912, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '366912.ch3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9076286
    {'conductor': 366912, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '366912.ch3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9076287
    {'conductor': 366912, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '366912.ch3', 'prime': 13, '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: 3948316
    {'adelic_gens': [[1, 18, 0, 1], [3275, 6534, 3267, 6389], [4903, 3258, 1305, 4733], [1, 18, 10, 181], [10, 9, 81, 73], [1639, 18, 1647, 163], [1015, 18, 2889, 6205], [1, 0, 18, 1], [6535, 18, 6534, 19], [5603, 6534, 4311, 6041]], 'adelic_image': '6552.144.3.?', 'conductor': 366912, 'lmfdb_label': '366912.ch3', 'prime': 0}
  • id: 1261083
    {'conductor': 366912, 'elladic_image': '9.12.0.1', 'lmfdb_label': '366912.ch3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 366912.ch does not appear in ec_padic