Elliptic curve data - 372645.br2

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '372645br', 'Clabel': '372645br2', 'Cnumber': 2, 'abc_quality': 0.9665140132672618, 'absD': 150009361985376509317454025, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5460, 'ainvs': [1, -1, 1, -139072667, 226419200466], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 372645, 'degree': 111476736, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7153492833184663832762811830', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2], 'jinv': [718576775407009, 362361861225], 'lmfdb_iso': '372645.br', 'lmfdb_label': '372645.br2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1866, 10971], 'min_quad_twist_disc': 273, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.2', '84.12.0.?', '156.12.0.?', '364.12.0.?', '420.24.0.?', '780.24.0.?', '1092.24.0.?', '1820.24.0.?', '5460.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 74529], [3, 6, 41405], [5, 6, 74529], [7, 32, 7605], [13, 98, 2205]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91061338572598651699923847204', 'prec': 103}, 'szpiro_ratio': 5.290232787911666, '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, -1, 0, -1, 1, 0, 0, 3, 0, -1, -4, 0, 0, 0, 0, -1, 2, 0, 0, -1], 'aplist': [-1, 0, 1, 0, -4, 0, 2, 0, 0, 10, -4, -10, -6, -8, -4, 10, 12, 10, 4, 0, 6, 0, 16, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 372645, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '372645.br', 'trace_hash': 1119601056842781553}
• 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': '0.00059277327560479904582105673801', 'prec': 113}, 'conductor': 372645, 'gens': [], 'heights': [], 'lmfdb_label': '372645.br2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.051151037055260335058394182151', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6368331857683307218686138288482652068', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-12535, 6267, 1], [1661, -831, 1]], 'xcoord_integral_points': [-12535, 1661]}
• lmfdb_label 372645.br2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15463648
    {'degree': 4, 'field': [130, 130, -129, -2, 1], 'lmfdb_label': '372645.br2', 'torsion': [2, 4]}
  • id: 15463646
    {'degree': 4, 'field': [420, -210, 79, -1, 1], 'lmfdb_label': '372645.br2', 'torsion': [2, 4]}
  • id: 15463647
    {'degree': 4, 'field': [784, 0, -35, 0, 1], 'lmfdb_label': '372645.br2', 'torsion': [2, 4]}
  • id: 15463649
    {'degree': 8, 'field': [-125025, 47775, 4800, -12000, -1920, 15, -49, -4, 1], 'lmfdb_label': '372645.br2', 'torsion': [2, 6]}
  • id: 15463650
    {'degree': 16, 'field': [1392400, 0, -3116660, 0, 2186561, 0, 332496, 0, 30800, 0, -12990, 0, 1040, 0, -44, 0, 1], 'lmfdb_label': '372645.br2', 'torsion': [4, 4]}
  • id: 15463652
    {'degree': 16, 'field': [770065780, -688995520, 551328392, -378227472, 291224500, -69839000, 56556444, -10109368, 4118361, -757012, 130200, -23324, 1981, -336, 62, -4, 1], 'lmfdb_label': '372645.br2', 'torsion': [2, 8]}
  • id: 15463651
    {'degree': 16, 'field': [2098237995, 447912360, 743465655, 281982240, 233815251, 48143514, 37716240, 2943390, 4035496, -88110, 253244, -16950, 9501, -690, 185, -6, 1], 'lmfdb_label': '372645.br2', 'torsion': [2, 8]}
  • id: 15463653
    {'degree': 16, 'field': [147148960000, 0, 19880672000, 0, 2379507025, 0, -686230720, 0, 44495011, 0, -1391296, 0, 25171, 0, -256, 0, 1], 'lmfdb_label': '372645.br2', '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: 9221820
    {'conductor': 372645, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '372645.br2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9221821
    {'conductor': 372645, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '372645.br2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9221822
    {'conductor': 372645, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '372645.br2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9221823
    {'conductor': 372645, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '372645.br2', 'prime': 13, 'reduction_type': 0, '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: 3983126
    {'adelic_gens': [[1, 0, 4, 1], [4371, 2, 4366, 5459], [1, 4, 0, 1], [5457, 5458, 1822, 1], [3119, 5456, 778, 5451], [1259, 5458, 0, 5459], [5457, 4, 5456, 5], [2731, 4, 0, 1]], 'adelic_image': '5460.48.0.?', 'conductor': 372645, 'lmfdb_label': '372645.br2', 'prime': 0}
  • id: 1278469
    {'conductor': 372645, 'elladic_image': '2.6.0.1', 'lmfdb_label': '372645.br2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 372645.br does not appear in ec_padic