Elliptic curve data - 14450.n1

Formats: - HTML - YAML - JSON - 2024-06-10T06:55:17.885546

• 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': '14450c', 'Clabel': '14450c2', 'Cnumber': 2, 'abc_quality': 1.003516346580922, 'absD': 463233892566406250000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2040, 'ainvs': [1, 0, 1, -47981376, -132054127602], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 14450, 'degree': 1741824, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3110983147409485767290714272', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 13, 'isogeny_degrees': [1, 3], 'jinv': [-32391289681150609, 1228250000000], 'lmfdb_iso': '14450.n', 'lmfdb_label': '14450.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6641, -215575], 'min_quad_twist_disc': 85, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.7', '255.8.0.?', '680.2.0.?', '2040.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.979957859481122546210569952', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0897726864957903493039244517', 'prec': 100}, 'szpiro_ratio': 6.75850920726524, '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, -1, 1, 1, 0, -1, 2, -1, -2, 0, 0, 1, 1, -2, 0, 1, 0, 2, -1, 0], 'aplist': [-1, 1, 0, 2, 0, 1, 0, -1, -6, 3, -5, 8, -6, 10, 3, 3, 3, -11, -2, -9, 11, -8, 12, 15, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 14450, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '14450.n', 'trace_hash': 514341418471962328}
• 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': '0.0013305051065547939480437172004', 'prec': 110}, 'conductor': 14450, 'gens': [[23310288748, 2198341312023623, 1527]], 'heights': [{'__RealLiteral__': 0, 'data': '18.979957859481122546210569952', 'prec': 100}], 'lmfdb_label': '14450.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.028617796891327858923977320365', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3453166322287410578966337450649881494', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [3, 1], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14450.n1'}
• ec_torsion_growth •

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

  
  
  • id: 745157
    {'degree': 2, 'field': [64, -1, 1], 'lmfdb_label': '14450.n1', 'torsion': [3]}
  • id: 745158
    {'degree': 3, 'field': [10, -6, -1, 1], 'lmfdb_label': '14450.n1', 'torsion': [2]}
  • id: 745160
    {'degree': 6, 'field': [-9129, -1581, 1266, 121, -60, -3, 1], 'lmfdb_label': '14450.n1', 'torsion': [3]}
  • id: 745161
    {'degree': 6, 'field': [196, 68, 113, 6, 18, -2, 1], 'lmfdb_label': '14450.n1', 'torsion': [6]}
  • id: 745159
    {'degree': 6, 'field': [270, -360, 171, -20, 2, 0, 1], 'lmfdb_label': '14450.n1', 'torsion': [2, 2]}
  • id: 745162
    {'degree': 12, 'field': [-68000, 0, 13525, 0, -675, 0, 10, 0, -30, 0, 1, 0, 1], 'lmfdb_label': '14450.n1', 'torsion': [4]}
  • id: 745164
    {'degree': 12, 'field': [6400, 0, -4160, 0, 4196, 0, -420, 0, 213, 0, -10, 0, 1], 'lmfdb_label': '14450.n1', 'torsion': [2, 6]}
  • id: 745163
    {'degree': 12, 'field': [64032004, 0, -21574800, 0, 2911260, 0, -199121, 0, 7275, 0, -135, 0, 1], 'lmfdb_label': '14450.n1', 'torsion': [3, 3]}
  • id: 745166
    {'degree': 18, 'field': [4475, 5850, 20340, -4480, 8796, -24150, -11649, -9060, 3696, 4276, 3432, 516, -1311, -510, 180, 76, -12, -6, 1], 'lmfdb_label': '14450.n1', 'torsion': [6]}
  • id: 745165
    {'degree': 18, 'field': [7063338900, 4978858500, -485999820, 250603110, 945318624, -304570314, 82712173, 23174517, -12255276, 4274815, -235269, -76428, 56052, -7050, 1044, 58, 21, -3, 1], 'lmfdb_label': '14450.n1', 'torsion': [9]}
• 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: 317977
    {'conductor': 14450, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '14450.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 317978
    {'conductor': 14450, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '14450.n1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 317979
    {'conductor': 14450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '14450.n1', 'prime': 17, 'reduction_type': 0, '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: 1760237
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [1799, 2034, 1317, 2021], [1223, 2034, 1629, 2021], [2035, 6, 2034, 7], [1021, 6, 1023, 19], [938, 1107, 775, 1027], [511, 6, 1533, 19], [1, 6, 0, 1]], 'adelic_image': '2040.16.0.?', 'conductor': 14450, 'lmfdb_label': '14450.n1', 'prime': 0}
  • id: 68643
    {'conductor': 14450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '14450.n1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 644986
    {'lmfdb_iso': '14450.n', 'p': 7, 'prec': 20, 'unit': 44495137884937, 'val': 1}
  • id: 644990
    {'lmfdb_iso': '14450.n', 'p': 13, 'prec': 20, 'unit': 9350317951287197472152, 'val': -1}
  • id: 644993
    {'lmfdb_iso': '14450.n', 'p': 19, 'prec': 20, 'unit': 176551454441518582568523, 'val': 1}
  • id: 644996
    {'lmfdb_iso': '14450.n', 'p': 23, 'prec': 20, 'unit': 21264152100017763674799747, 'val': 1}
  • id: 644989
    {'lmfdb_iso': '14450.n', 'p': 29, 'prec': 20, 'unit': 1877875126451117514147781118, 'val': 1}
  • id: 645001
    {'lmfdb_iso': '14450.n', 'p': 31, 'prec': 20, 'unit': 14777881595372055003289250895, 'val': 1}
  • id: 644985
    {'lmfdb_iso': '14450.n', 'p': 37, 'prec': 20, 'unit': 82485261597663578831919388316, 'val': 1}
  • id: 644987
    {'lmfdb_iso': '14450.n', 'p': 41, 'prec': 20, 'unit': 2596671798864086721497309161217, 'val': 1}
  • id: 644988
    {'lmfdb_iso': '14450.n', 'p': 43, 'prec': 20, 'unit': 10130783982372064411751377591644, 'val': 1}
  • id: 644999
    {'lmfdb_iso': '14450.n', 'p': 47, 'prec': 20, 'unit': 21089521796140157976840355005844, 'val': 1}
  • id: 644994
    {'lmfdb_iso': '14450.n', 'p': 53, 'prec': 20, 'unit': 468606809856607214205320528813104, 'val': 1}
  • id: 644992
    {'lmfdb_iso': '14450.n', 'p': 59, 'prec': 20, 'unit': 2200134158067647342554758092084375, 'val': 1}
  • id: 645000
    {'lmfdb_iso': '14450.n', 'p': 61, 'prec': 20, 'unit': 6348105967365730634364420863052264, 'val': 1}
  • id: 644984
    {'lmfdb_iso': '14450.n', 'p': 67, 'prec': 20, 'unit': 8741208107339559498276380306976639, 'val': 1}
  • id: 644998
    {'lmfdb_iso': '14450.n', 'p': 71, 'prec': 20, 'unit': 55088508135958273102398805483381141, 'val': 1}
  • id: 644995
    {'lmfdb_iso': '14450.n', 'p': 73, 'prec': 20, 'unit': 76706982654884774928088064736122819, 'val': 1}
  • id: 644991
    {'lmfdb_iso': '14450.n', 'p': 79, 'prec': 20, 'unit': 402744834151661083644093353966142060, 'val': 1}
  • id: 644983
    {'lmfdb_iso': '14450.n', 'p': 83, 'prec': 20, 'unit': 146801887483829903477646727085329814, 'val': 1}
  • id: 644997
    {'lmfdb_iso': '14450.n', 'p': 89, 'prec': 20, 'unit': 6804615335315795846270658463594594304, 'val': 1}
  • id: 644982
    {'lmfdb_iso': '14450.n', 'p': 97, 'prec': 20, 'unit': 16598239978037194264368473238801896850, 'val': 1}