Elliptic curve data - 110466.bi4

Formats: - HTML - YAML - JSON - 2025-11-08T12:55:11.463976

• 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': '110466bp', 'Clabel': '110466bp1', 'Cnumber': 1, 'abc_quality': 0.9000957170016773, 'absD': 37314534606912, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 7752, 'ainvs': [1, -1, 1, -9815, 234159], 'analytic_rank': 1, 'bad_primes': [2, 3, 17, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 110466, 'degree': 331776, 'elladic_images': ['8.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3051332973688130890501481565', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3048625, 1088], 'lmfdb_iso': '110466.bi', 'lmfdb_label': '110466.bi4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3, 1], 'min_quad_twist_disc': 57, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '24.24.0.bw.1', '34.6.0.a.1', '57.8.0-3.a.1.2', '102.24.0.?', '114.24.0.?', '136.12.0.?', '408.48.1.?', '456.48.0.?', '1938.48.0.?', '7752.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.94303720737252447033038572306', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 55233], [3, 2, 6137], [17, 18, 6498], [19, 182, 306]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71639233654846198665198817791', 'prec': 107}, 'szpiro_ratio': 3.374693950010839, '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, 1, 0, 1, 0, 0, -4, 1, 0, 0, -6, 0, -2, -4, 0, 1, 1, 0, 0, 0], 'aplist': [1, 0, 0, -4, -6, -2, 1, 0, 0, 0, 4, 4, 6, 8, 0, -6, 0, -4, -8, 0, 2, -8, 0, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 110466, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '110466.bi', 'trace_hash': 363688360938564455}
• 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': '0.073514942453575188113600126272', 'prec': 107}, 'conductor': 110466, 'gens': [[-33, 738, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.94303720737252447033038572306', 'prec': 103}], 'lmfdb_label': '110466.bi4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.59546515421731649443613429169', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7385495534489731094770847970750625220', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-109, 54, 1]], 'xcoord_integral_points': [-109, -33, 87, 233]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': 'a', '23': [1, 1, 0], '29': [1, 3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '110466.bi4'}
• ec_torsion_growth •

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

  
  
  • id: 5084296
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '110466.bi4', 'torsion': [6]}
  • id: 5084295
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '110466.bi4', 'torsion': [2, 2]}
  • id: 5084298
    {'degree': 4, 'field': [100, 0, -37, 0, 1], 'lmfdb_label': '110466.bi4', 'torsion': [2, 6]}
  • id: 5084297
    {'degree': 4, 'field': [3502, -28, 143, -2, 1], 'lmfdb_label': '110466.bi4', 'torsion': [4]}
  • id: 5084299
    {'degree': 6, 'field': [137, -205, 94, 3, 26, -1, 1], 'lmfdb_label': '110466.bi4', 'torsion': [6]}
  • id: 5084302
    {'degree': 8, 'field': [64516, 0, -13156, 0, 1133, 0, -50, 0, 1], 'lmfdb_label': '110466.bi4', 'torsion': [12]}
  • id: 5084301
    {'degree': 8, 'field': [435744, 19584, 53376, 12192, 4906, 56, 131, -2, 1], 'lmfdb_label': '110466.bi4', 'torsion': [2, 4]}
  • id: 5084300
    {'degree': 8, 'field': [4536688, 413440, -178500, -90100, 20552, 926, -279, -2, 1], 'lmfdb_label': '110466.bi4', 'torsion': [2, 4]}
  • id: 5084303
    {'degree': 12, 'field': [13924, 0, 16247, 0, 3519, 0, 1975, 0, 357, 0, 29, 0, 1], 'lmfdb_label': '110466.bi4', 'torsion': [3, 6]}
  • id: 5084304
    {'degree': 12, 'field': [65196, 35358, 45715, 10800, 11279, 476, 2181, -204, 263, -46, 19, -2, 1], 'lmfdb_label': '110466.bi4', 'torsion': [2, 6]}
  • id: 5084306
    {'degree': 16, 'field': [413838496, -193447648, -504916520, -13421880, 172723668, 24545192, -28650310, -4931686, 2751121, 445802, -164720, -20694, 6050, 470, -122, -4, 1], 'lmfdb_label': '110466.bi4', 'torsion': [2, 12]}
  • id: 5084307
    {'degree': 16, 'field': [1932305344, 1566094336, -542612512, -532918624, 111119244, 81810472, -18860936, -7379116, 2081185, 419336, -135872, -15088, 5090, 336, -104, -4, 1], 'lmfdb_label': '110466.bi4', 'torsion': [2, 12]}
  • id: 5084305
    {'degree': 16, 'field': [61499506912, 4771587904, -4912580144, 268746000, -100958590, -40974384, 15077888, -1131632, 173559, 77248, -20008, 2736, -638, 56, 12, -8, 1], 'lmfdb_label': '110466.bi4', 'torsion': [8]}
  • id: 5084308
    {'degree': 18, 'field': [29871616, -143836416, 51476352, 23647248, -9986184, 8241924, -1607450, 533478, -536976, -33227, -84243, -12564, -2960, -2202, 336, -142, 36, -3, 1], 'lmfdb_label': '110466.bi4', 'torsion': [18]}
• 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: 2714649
    {'conductor': 110466, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '110466.bi4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 2714650
    {'conductor': 110466, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '110466.bi4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2714651
    {'conductor': 110466, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '110466.bi4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2714652
    {'conductor': 110466, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '110466.bi4', 'prime': 19, '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: 2387388
    {'adelic_gens': [[11, 2, 7702, 7743], [815, 0, 0, 7751], [5739, 2128, 7334, 77], [1, 0, 12, 1], [1, 6, 6, 37], [3877, 2052, 4902, 4561], [1, 12, 0, 1], [6898, 2451, 1653, 400], [7741, 12, 7740, 13], [3799, 6118, 5586, 5699]], 'adelic_image': '7752.96.1.?', 'conductor': 110466, 'lmfdb_label': '110466.bi4', 'prime': 0}
  • id: 438324
    {'conductor': 110466, 'elladic_image': '8.6.0.1', 'lmfdb_label': '110466.bi4', 'modell_image': '2B', 'prime': 2}
  • id: 438325
    {'conductor': 110466, 'elladic_image': '3.4.0.1', 'lmfdb_label': '110466.bi4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 5762685
    {'lmfdb_iso': '110466.bi', 'p': 7, 'prec': 20, 'unit': 2324259270687843, 'val': 1}
  • id: 5762687
    {'lmfdb_iso': '110466.bi', 'p': 11, 'prec': 20, 'unit': 52763294799642841882, 'val': 1}
  • id: 5762688
    {'lmfdb_iso': '110466.bi', 'p': 13, 'prec': 20, 'unit': 501221215423401427953, 'val': 1}
  • id: 5762695
    {'lmfdb_iso': '110466.bi', 'p': 31, 'prec': 20, 'unit': 19451395636837315886015936276, 'val': 1}
  • id: 5762684
    {'lmfdb_iso': '110466.bi', 'p': 37, 'prec': 20, 'unit': 185618590050133806989840304650, 'val': 1}
  • id: 5762686
    {'lmfdb_iso': '110466.bi', 'p': 41, 'prec': 20, 'unit': 513961910430098123457262998606, 'val': 1}
  • id: 5762683
    {'lmfdb_iso': '110466.bi', 'p': 43, 'prec': 20, 'unit': 1063890479301501281383956566845, 'val': 1}
  • id: 5762691
    {'lmfdb_iso': '110466.bi', 'p': 53, 'prec': 20, 'unit': 151564635591042620156739215943203, 'val': 1}
  • id: 5762694
    {'lmfdb_iso': '110466.bi', 'p': 61, 'prec': 20, 'unit': 4364660290718791802362619068122754, 'val': 1}
  • id: 5762690
    {'lmfdb_iso': '110466.bi', 'p': 67, 'prec': 20, 'unit': 21092510725067631106818938528848831, 'val': 1}
  • id: 5762692
    {'lmfdb_iso': '110466.bi', 'p': 73, 'prec': 20, 'unit': 71717500132728602170708257788557383, 'val': 1}
  • id: 5762689
    {'lmfdb_iso': '110466.bi', 'p': 79, 'prec': 20, 'unit': 914499894492438096634757238979282175, 'val': 1}
  • id: 5762693
    {'lmfdb_iso': '110466.bi', 'p': 89, 'prec': 20, 'unit': 1371576307935687910415723034234010179, 'val': 1}
  • id: 5762682
    {'lmfdb_iso': '110466.bi', 'p': 97, 'prec': 20, 'unit': 5301440362029221720353848637483138008, 'val': 1}