Elliptic curve data - 14586.e1

Formats: - HTML - YAML - JSON - 2024-04-25T05:12:51.779247

• 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': '14586h', 'Clabel': '14586h3', 'Cnumber': 3, 'abc_quality': 0.9973927117058844, 'absD': 772310238681366528, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2244, 'ainvs': [1, 0, 1, -3295221, -2302254848], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 14586, 'degree': 456192, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4320658195191762642952607707', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3957101249824708884951625, 772310238681366528], 'lmfdb_iso': '14586.e', 'lmfdb_label': '14586.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3295221, -2302254848], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '66.48.0-66.b.1.3', '68.6.0.b.1', '204.48.0.?', '2244.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5926782131278392516014385541', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4320658195191762642952607707', 'prec': 100}, 'szpiro_ratio': 5.907241592255302, '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, -4, -1, 1, 0, 1, 1, 1, 4, 0, 1, 1, -1, 2, 0], 'aplist': [-1, 1, 0, -4, 1, 1, 1, 2, 0, -6, 8, 2, -6, 2, -6, 6, 6, -4, -16, 12, -4, 8, -12, 6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 14586, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '14586.e', 'trace_hash': 1308951725126312327}
• 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': '0.0077185277504040070438981446687', 'prec': 110}, 'conductor': 14586, 'gens': [[-207077, 327697, 14]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5926782131278392516014385541', 'prec': 100}], 'lmfdb_label': '14586.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11205558832748305267837805981', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7601450849900200823438435907303750000', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-1037, 518, 1]], 'xcoord_integral_points': [-1037]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [4, 1], '5': [1, 1, 0], '7': [1, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14586.e1'}
• ec_torsion_growth •

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

  
  
  • id: 752448
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '14586.e1', 'torsion': [2, 2]}
  • id: 752449
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '14586.e1', 'torsion': [6]}
  • id: 752450
    {'degree': 3, 'field': [-9537, 0, 0, 1], 'lmfdb_label': '14586.e1', 'torsion': [6]}
  • id: 752451
    {'degree': 4, 'field': [4, 4, 14, -2, 1], 'lmfdb_label': '14586.e1', 'torsion': [4]}
  • id: 752452
    {'degree': 4, 'field': [9, -3, -2, -1, 1], 'lmfdb_label': '14586.e1', 'torsion': [2, 6]}
  • id: 752454
    {'degree': 6, 'field': [-9537, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '14586.e1', 'torsion': [2, 6]}
  • id: 752453
    {'degree': 6, 'field': [12693747, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '14586.e1', 'torsion': [3, 6]}
  • id: 752457
    {'degree': 8, 'field': [16, 16, -40, 72, 200, -36, -10, -2, 1], 'lmfdb_label': '14586.e1', 'torsion': [12]}
  • id: 752456
    {'degree': 8, 'field': [2293, -6760, 7255, -3340, 552, -2, 7, -2, 1], 'lmfdb_label': '14586.e1', 'torsion': [2, 4]}
  • id: 752455
    {'degree': 8, 'field': [87616, 0, -3964, 0, -1017, 0, -4, 0, 1], 'lmfdb_label': '14586.e1', 'torsion': [2, 4]}
  • id: 752458
    {'degree': 12, 'field': [90935296, 57216, 143076, -381530, 143145, 57096, -18933, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '14586.e1', 'torsion': [6, 6]}
  • id: 752459
    {'degree': 12, 'field': [565255249, 96207204, -52007202, -5882456, 2025846, -15150, 28310, 5892, -2646, -164, 54, -6, 1], 'lmfdb_label': '14586.e1', 'torsion': [12]}
  • id: 752462
    {'degree': 16, 'field': [1860496, 780208, 1115576, -325160, 284760, -103916, 102262, -47266, 6897, 1262, 212, -626, 179, 12, -4, -4, 1], 'lmfdb_label': '14586.e1', 'torsion': [2, 12]}
  • id: 752461
    {'degree': 16, 'field': [7676563456, 0, 347309824, 0, 104818768, 0, -4732316, 0, 930817, 0, -11996, 0, 1033, 0, 4, 0, 1], 'lmfdb_label': '14586.e1', 'torsion': [2, 12]}
  • id: 752460
    {'degree': 16, 'field': [22141411200576, 2423614531968, -94361217120, 87729475392, 2975318664, 5996615088, 1056400452, 103838244, 32147833, -2042108, 1062824, -74188, 22626, -476, 228, 0, 1], 'lmfdb_label': '14586.e1', 'torsion': [8]}
  • id: 752463
    {'degree': 18, 'field': [2536550191741522671, 0, 0, 2034758925499014, 0, 0, 4773782649207, 0, 0, -10072389228, 0, 0, 9419953, 0, 0, -4886, 0, 0, 1], 'lmfdb_label': '14586.e1', '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: 321527
    {'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '14586.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 321528
    {'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14586.e1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 321529
    {'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14586.e1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 321530
    {'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '14586.e1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 321531
    {'conductor': 14586, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14586.e1', 'prime': 17, '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: 1761152
    {'adelic_gens': [[939, 190, 2078, 1325], [1057, 12, 1854, 73], [1, 0, 12, 1], [1846, 3, 177, 2236], [1, 6, 6, 37], [11, 2, 2194, 2235], [1, 12, 0, 1], [2233, 12, 2232, 13], [758, 3, 721, 2236]], 'adelic_image': '2244.96.1.?', 'conductor': 14586, 'lmfdb_label': '14586.e1', 'prime': 0}
  • id: 69266
    {'conductor': 14586, 'elladic_image': '2.3.0.1', 'lmfdb_label': '14586.e1', 'modell_image': '2B', 'prime': 2}
  • id: 69267
    {'conductor': 14586, 'elladic_image': '3.8.0.2', 'lmfdb_label': '14586.e1', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 652008
    {'lmfdb_iso': '14586.e', 'p': 7, 'prec': 20, 'unit': 3786283412806884, 'val': 1}
  • id: 652004
    {'lmfdb_iso': '14586.e', 'p': 19, 'prec': 20, 'unit': 639571483249041189341725, 'val': 1}
  • id: 652011
    {'lmfdb_iso': '14586.e', 'p': 29, 'prec': 20, 'unit': 5160371389015411523596415513, 'val': 1}
  • id: 652021
    {'lmfdb_iso': '14586.e', 'p': 31, 'prec': 20, 'unit': 18587777939411270341699827308, 'val': 1}
  • id: 652007
    {'lmfdb_iso': '14586.e', 'p': 37, 'prec': 20, 'unit': 574387876249852837871846969833, 'val': 1}
  • id: 652009
    {'lmfdb_iso': '14586.e', 'p': 41, 'prec': 20, 'unit': 3645239219718037529597886702306, 'val': 1}
  • id: 652010
    {'lmfdb_iso': '14586.e', 'p': 43, 'prec': 20, 'unit': 6348286907610613681999538180991, 'val': 1}
  • id: 652019
    {'lmfdb_iso': '14586.e', 'p': 47, 'prec': 20, 'unit': 55142486625984696842193842423641, 'val': 1}
  • id: 652015
    {'lmfdb_iso': '14586.e', 'p': 53, 'prec': 20, 'unit': 349899838523398598349730899587508, 'val': 1}
  • id: 652013
    {'lmfdb_iso': '14586.e', 'p': 59, 'prec': 20, 'unit': 2499414474936868854505908289019505, 'val': 1}
  • id: 652020
    {'lmfdb_iso': '14586.e', 'p': 61, 'prec': 20, 'unit': 812478115614978498052275389863202, 'val': 1}
  • id: 652006
    {'lmfdb_iso': '14586.e', 'p': 67, 'prec': 20, 'unit': 36438862535067198825284155851596699, 'val': 1}
  • id: 652018
    {'lmfdb_iso': '14586.e', 'p': 71, 'prec': 20, 'unit': 39829987720636890277802099437492512, 'val': 1}
  • id: 652016
    {'lmfdb_iso': '14586.e', 'p': 73, 'prec': 20, 'unit': 245431657637512028718003975632967917, 'val': 1}
  • id: 652012
    {'lmfdb_iso': '14586.e', 'p': 79, 'prec': 20, 'unit': 1066818397286474485988191146899784411, 'val': 1}
  • id: 652014
    {'lmfdb_iso': '14586.e', 'p': 83, 'prec': 20, 'unit': 100369863372858212923937018438407899, 'val': 1}
  • id: 652017
    {'lmfdb_iso': '14586.e', 'p': 89, 'prec': 20, 'unit': 7031372611279978497951715435373766463, 'val': 1}
  • id: 652005
    {'lmfdb_iso': '14586.e', 'p': 97, 'prec': 20, 'unit': 31846796214912922468895771133960479171, 'val': 1}