Elliptic curve data - 369600.bg2

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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': '369600bg', 'Clabel': '369600bg4', 'Cnumber': 4, 'abc_quality': 0.9670732682705956, 'absD': 192099600000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -12836033, -17684016063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 18874368, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8208061231553849107844735465', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 4], 'jinv': [228410605013945764, 187597265625], 'lmfdb_iso': '369600.bg', 'lmfdb_label': '369600.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -128360, -17645508], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.m.1', '40.24.0-4.b.1.11', '56.24.0.h.2', '88.24.0.?', '120.48.0.?', '168.48.0.?', '264.48.0.?', '280.48.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '1320.96.0.?', '1540.24.0.?', '1848.96.1.?', '3080.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5207392223913421717360239851', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0918909261917409775944510513', 'prec': 100}, 'szpiro_ratio': 4.736042682761403, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 1, 0, -1, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, -1, 0, -1, -1, -2, -2, -4, 0, 2, -8, -10, -6, -4, 0, -2, 12, -14, 12, 0, 6, -16, -4, -14, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '369600.bg', 'trace_hash': 589325127372236265}
• 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': '0.0035471449223134596733489120326', 'prec': 110}, 'conductor': 369600, 'gens': [[-2104, 2133, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5207392223913421717360239851', 'prec': 100}], 'lmfdb_label': '369600.bg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.079765163243107526724356810564', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5229013223733753293040480033754052318', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-2113, 0, 1], [4137, 0, 1]], 'xcoord_integral_points': [-2113, -2104, -2023, 4137, 60387]}
• lmfdb_label 369600.bg2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15337679
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [2, 4]}
  • id: 15337681
    {'degree': 4, 'field': [1296, 0, -82, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [2, 4]}
  • id: 15337680
    {'degree': 4, 'field': [1681, 0, 72, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [2, 4]}
  • id: 15337685
    {'degree': 8, 'field': [-3151875, 0, -298250, 0, 6150, 0, 0, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [2, 6]}
  • id: 15337683
    {'degree': 8, 'field': [4096, 0, 384, 0, -28, 0, 6, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [2, 8]}
  • id: 15337684
    {'degree': 8, 'field': [22801, 0, 5370, 0, 527, 0, 30, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [2, 8]}
  • id: 15337682
    {'degree': 8, 'field': [104976, 0, 0, 0, 1033, 0, 0, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [4, 4]}
  • id: 15337688
    {'degree': 16, 'field': [2230200625, 0, 740760500, 0, 188487100, 0, -9356500, 0, -757850, 0, 32780, 0, -500, 0, 20, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [2, 12]}
  • id: 15337687
    {'degree': 16, 'field': [85255240225, 0, -36130588080, 0, -362165244, 0, 98927472, 0, 1133734, 0, -36624, 0, -1596, 0, -48, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [2, 8]}
  • id: 15337686
    {'degree': 16, 'field': [4535434678336, 0, -390792882560, 0, 194328053024, 0, -10931776800, 0, 245121716, 0, 640080, 0, 37604, 0, -80, 0, 1], 'lmfdb_label': '369600.bg2', 'torsion': [2, 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: 9141187
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '369600.bg2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9141188
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '369600.bg2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9141189
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '369600.bg2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9141190
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.bg2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9141191
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.bg2', 'prime': 11, '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: 3963961
    {'adelic_gens': [[5543, 0, 0, 9239], [5551, 5550, 8970, 3691], [9233, 8, 9232, 9], [1, 0, 8, 1], [4711, 1850, 2670, 3691], [1, 8, 0, 1], [5, 4, 9236, 9237], [7389, 8770, 5090, 1869], [5551, 8780, 1830, 6001], [6161, 7400, 620, 1881]], 'adelic_image': '9240.192.1.?', 'conductor': 369600, 'lmfdb_label': '369600.bg2', 'prime': 0}
  • id: 1268569
    {'conductor': 369600, 'elladic_image': '4.12.0.3', 'lmfdb_label': '369600.bg2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 369600.bg does not appear in ec_padic