Elliptic curve data - 43350.p7

Formats: - HTML - YAML - JSON - 2024-05-17T04:04:35.381123

• 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': '43350b', 'Clabel': '43350b5', 'Cnumber': 5, 'abc_quality': 1.0137929987603158, 'absD': 2367813185991575564062500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 8160, 'ainvs': [1, 1, 0, 22108350, 62300025000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 43350, 'degree': 7077888, 'elladic_images': ['8.48.0.199'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3614919148783222176081859240', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3168685387909439, 6278181696900], 'lmfdb_iso': '43350.p', 'lmfdb_label': '43350.p7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 3060, 102705], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0.n.1', '48.96.0-8.n.1.5', '60.24.0.h.1', '80.96.0.?', '120.96.1.?', '204.24.0.?', '240.192.1.?', '272.96.1.?', '340.24.0.?', '408.96.0.?', '544.192.1.?', '680.96.0.?', '816.192.1.?', '1020.48.0.?', '1360.192.1.?', '1632.384.5.?', '2040.192.1.?', '2720.384.5.?', '4080.384.5.?', '8160.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7081432936210076979537670429', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1401662866331639901830389484', 'prec': 100}, 'szpiro_ratio': 5.922350663971263, '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, -1, 1, 0, 1, 0, -1, 1, 0, -4, -1, 2, 0, 0, 1, 0, -1, 4, 0], 'aplist': [-1, -1, 0, 0, -4, 2, 0, 4, 0, 2, -8, 6, 6, 4, 0, 10, -4, 2, -4, 0, -6, -8, 12, -6, -14], 'class_deg': 16, 'class_size': 8, 'conductor': 43350, 'isogeny_matrix': [[1, 16, 2, 4, 8, 16, 8, 4], [16, 1, 8, 4, 2, 4, 8, 16], [2, 8, 1, 2, 4, 8, 4, 2], [4, 4, 2, 1, 2, 4, 2, 4], [8, 2, 4, 2, 1, 2, 4, 8], [16, 4, 8, 4, 2, 1, 8, 16], [8, 8, 4, 2, 4, 8, 1, 8], [4, 16, 2, 4, 8, 16, 8, 1]], 'lmfdb_iso': '43350.p', 'trace_hash': 476489413381980849}
• 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': '0.0012029434750442409290732221113', 'prec': 110}, 'conductor': 43350, 'gens': [[7090, 755080, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7081432936210076979537670429', 'prec': 100}], 'lmfdb_label': '43350.p7', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.056428687814773552240277852403', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3479305646109763771516120289739929469', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-9125, 9125, 2]], 'xcoord_integral_points': [7090]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 2], '3': [1, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '43350.p7'}
• ec_torsion_growth •

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

  
  
  • id: 2125093
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '43350.p7', 'torsion': [4]}
  • id: 2125092
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [2, 2]}
  • id: 2125094
    {'degree': 2, 'field': [85, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [4]}
  • id: 2125096
    {'degree': 4, 'field': [359, 46, -45, -2, 1], 'lmfdb_label': '43350.p7', 'torsion': [8]}
  • id: 2125095
    {'degree': 4, 'field': [441, 0, 43, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [2, 4]}
  • id: 2125097
    {'degree': 4, 'field': [531, 38, -37, -2, 1], 'lmfdb_label': '43350.p7', 'torsion': [8]}
  • id: 2125098
    {'degree': 4, 'field': [1089, 0, -36, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [8]}
  • id: 2125099
    {'degree': 4, 'field': [1089, 0, 36, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [8]}
  • id: 2125100
    {'degree': 8, 'field': [4761, 0, 1365, 0, 208, 0, 5, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [4, 4]}
  • id: 2125102
    {'degree': 8, 'field': [6561, 0, 0, 0, 927, 0, 0, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [2, 8]}
  • id: 2125103
    {'degree': 8, 'field': [79426, -8779, -7376, -5931, 2505, 9, -41, -4, 1], 'lmfdb_label': '43350.p7', 'torsion': [6]}
  • id: 2125101
    {'degree': 8, 'field': [194481, 0, 0, 0, 967, 0, 0, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [2, 8]}
  • id: 2125106
    {'degree': 16, 'field': [4096, 0, 0, 0, -8064, 0, 0, 0, 3332, 0, 0, 0, -126, 0, 0, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [16]}
  • id: 2125104
    {'degree': 16, 'field': [291501, -3616452, 17445492, -4608216, 1314531, -2049492, 825030, -542148, 230824, 114116, 10240, -3184, 451, 212, -2, -4, 1], 'lmfdb_label': '43350.p7', 'torsion': [4, 8]}
  • id: 2125105
    {'degree': 16, 'field': [22667121, 0, 0, 0, -117351, 0, 0, 0, 39136, 0, 0, 0, -391, 0, 0, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [4, 8]}
  • id: 2125107
    {'degree': 16, 'field': [33023539, -14532688, 17776604, -6765768, 4107116, -952616, 460840, -132072, 47017, -13080, 6268, -1888, 254, 0, 20, -8, 1], 'lmfdb_label': '43350.p7', 'torsion': [16]}
  • id: 2125111
    {'degree': 16, 'field': [375917840, 240993380, -192477735, -94968460, 42016610, 7412190, -3833009, 1053232, -115365, -106270, 28943, -4272, 803, -70, 30, -8, 1], 'lmfdb_label': '43350.p7', 'torsion': [12]}
  • id: 2125112
    {'degree': 16, 'field': [968185976, -516253708, 613361289, -202377630, 121938900, -25859106, 10205329, -1331048, 291765, 36520, -16445, 4908, -727, -70, 30, -8, 1], 'lmfdb_label': '43350.p7', 'torsion': [12]}
  • id: 2125110
    {'degree': 16, 'field': [1494286336, 61076480, 1248200, -134727576, 6377156, -7033112, 5780848, 188160, -23732, -14468, -25656, 2776, 120, 28, 32, -8, 1], 'lmfdb_label': '43350.p7', 'torsion': [2, 6]}
  • id: 2125109
    {'degree': 16, 'field': [5314410000, 0, 0, 0, 258066000, 0, 0, 0, 12458700, 0, 0, 0, 3540, 0, 0, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [16]}
  • id: 2125108
    {'degree': 16, 'field': [60037250625, 0, 0, 0, 3860541000, 0, 0, 0, 8442450, 0, 0, 0, 5640, 0, 0, 0, 1], 'lmfdb_label': '43350.p7', 'torsion': [16]}
• 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: 1030296
    {'conductor': 43350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '43350.p7', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1030297
    {'conductor': 43350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '43350.p7', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1030298
    {'conductor': 43350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '43350.p7', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1030299
    {'conductor': 43350, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '43350.p7', 'prime': 17, '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: 1953329
    {'adelic_gens': [[1, 0, 32, 1], [1, 32, 0, 1], [8129, 32, 8128, 33], [3839, 8152, 0, 8159], [1, 8, 0, 7141], [5465, 32, 662, 4329], [1, 32, 4, 129], [8135, 8144, 6282, 887], [25, 16, 6424, 7049], [2067, 4088, 8053, 5805]], 'adelic_image': '8160.768.13.?', 'conductor': 43350, 'lmfdb_label': '43350.p7', 'prime': 0}
  • id: 189132
    {'conductor': 43350, 'elladic_image': '8.48.0.199', 'lmfdb_label': '43350.p7', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2160531
    {'lmfdb_iso': '43350.p', 'p': 11, 'prec': 20, 'unit': 28157861461033951561, 'val': 1}
  • id: 2160529
    {'lmfdb_iso': '43350.p', 'p': 13, 'prec': 20, 'unit': 1455194449196149631295, 'val': 1}
  • id: 2160532
    {'lmfdb_iso': '43350.p', 'p': 19, 'prec': 20, 'unit': 1844873918027171930071729, 'val': 1}
  • id: 2160528
    {'lmfdb_iso': '43350.p', 'p': 29, 'prec': 20, 'unit': 1431850988969474772502578143, 'val': 1}
  • id: 2160538
    {'lmfdb_iso': '43350.p', 'p': 31, 'prec': 20, 'unit': 14067446960861525210122381274, 'val': 1}
  • id: 2160525
    {'lmfdb_iso': '43350.p', 'p': 37, 'prec': 20, 'unit': 408865955092929023958835222515, 'val': 1}
  • id: 2160526
    {'lmfdb_iso': '43350.p', 'p': 41, 'prec': 20, 'unit': 443814271551473540184905664240, 'val': 1}
  • id: 2160527
    {'lmfdb_iso': '43350.p', 'p': 43, 'prec': 20, 'unit': 108522452850864067066743720650, 'val': 2}
  • id: 2160533
    {'lmfdb_iso': '43350.p', 'p': 53, 'prec': 20, 'unit': 568490828522819754391336086941076, 'val': 1}
  • id: 2160536
    {'lmfdb_iso': '43350.p', 'p': 59, 'prec': 20, 'unit': 1265042612902463839966494144756607, 'val': 1}
  • id: 2160537
    {'lmfdb_iso': '43350.p', 'p': 61, 'prec': 20, 'unit': 4179778603209938115918118817021559, 'val': 1}
  • id: 2160524
    {'lmfdb_iso': '43350.p', 'p': 67, 'prec': 20, 'unit': 11304517251500422335205027197402370, 'val': 1}
  • id: 2160534
    {'lmfdb_iso': '43350.p', 'p': 73, 'prec': 20, 'unit': 178546678157531194417465391540624857, 'val': 1}
  • id: 2160530
    {'lmfdb_iso': '43350.p', 'p': 79, 'prec': 20, 'unit': 280135276846020584951773429662510873, 'val': 1}
  • id: 2160523
    {'lmfdb_iso': '43350.p', 'p': 83, 'prec': 20, 'unit': 2484107562149295872159645343302288922, 'val': 1}
  • id: 2160535
    {'lmfdb_iso': '43350.p', 'p': 89, 'prec': 20, 'unit': 3705515179641223340694030334590023762, 'val': 1}
  • id: 2160522
    {'lmfdb_iso': '43350.p', 'p': 97, 'prec': 20, 'unit': 15485696193487918415533527080423757910, 'val': 1}