Elliptic curve data - 5586.y4

Formats: - HTML - YAML - JSON - 2024-05-04T08:32:07.269232

• 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': '5586bb', 'Clabel': '5586bb1', 'Cnumber': 1, 'abc_quality': 1.0082255134095495, 'absD': 63285689843712, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [1, 0, 0, -17249, 782025], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5586, 'degree': 23040, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3812471774773059354901946924', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4], 'jinv': [4824238966273, 537919488], 'lmfdb_iso': '5586.y', 'lmfdb_label': '5586.y4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -352, -2431], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '28.12.0-4.c.1.2', '56.24.0-8.m.1.3', '114.6.0.?', '228.12.0.?', '456.24.0.?', '1596.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.16461010732010569852151943554', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40829210294964928293751832068', 'prec': 103}, 'szpiro_ratio': 4.738067476032408, '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, -2, 1, 0, 1, 1, -2, -4, 1, -2, 0, -2, 1, 6, 1, 1, -2], 'aplist': [1, 1, -2, 0, -4, -2, 6, 1, -4, -2, -4, 10, -10, 4, 4, -10, -12, -14, -12, 8, 6, -4, -12, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 5586, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '5586.y', 'trace_hash': 581276054222821767}
• 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': '0.063134092954612729848872063001', 'prec': 107}, 'conductor': 5586, 'gens': [[-38, 1195, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.16461010732010569852151943554', 'prec': 103}], 'lmfdb_label': '5586.y4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.60183848332591658457711662475', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9441218397789263777492843956272577454', 'prec': 130}, 'tamagawa_product': 240, 'torsion_generators': [[-150, 75, 1]], 'xcoord_integral_points': [-150, -38, 46, 102, 106, 250, 298, 28522]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [4, 0], '5': [1, 0], '7': 'a', '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [2, 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': '5586.y4'}
• ec_torsion_growth •

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

  
  
  • id: 290915
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '5586.y4', 'torsion': [2, 2]}
  • id: 290916
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '5586.y4', 'torsion': [4]}
  • id: 290917
    {'degree': 2, 'field': [100, -1, 1], 'lmfdb_label': '5586.y4', 'torsion': [4]}
  • id: 290918
    {'degree': 4, 'field': [256, 0, -25, 0, 1], 'lmfdb_label': '5586.y4', 'torsion': [2, 4]}
  • id: 290919
    {'degree': 8, 'field': [-1272, -13032, -2292, -1896, 598, 262, -69, -2, 1], 'lmfdb_label': '5586.y4', 'torsion': [2, 4]}
  • id: 290920
    {'degree': 8, 'field': [176, 32, -82, 24, 27, -4, 2, 0, 1], 'lmfdb_label': '5586.y4', 'torsion': [8]}
  • id: 290922
    {'degree': 8, 'field': [324, 2052, 1524, 645, 162, -37, -15, 0, 1], 'lmfdb_label': '5586.y4', 'torsion': [6]}
  • id: 290921
    {'degree': 8, 'field': [474240, -25536, 26904, -2736, 1369, -4, 6, -4, 1], 'lmfdb_label': '5586.y4', 'torsion': [8]}
  • id: 290926
    {'degree': 16, 'field': [-4409424, 14703984, -16927056, 9809028, -2322432, -1232820, 1699224, -1069422, 465450, -157347, 42975, -9636, 1744, -238, 26, -5, 1], 'lmfdb_label': '5586.y4', 'torsion': [2, 6]}
  • id: 290927
    {'degree': 16, 'field': [144, 0, 2016, 0, 2064, 0, 3535, 0, 1394, 0, 343, 0, 73, 0, 14, 0, 1], 'lmfdb_label': '5586.y4', 'torsion': [12]}
  • id: 290924
    {'degree': 16, 'field': [716944, 321792, -71168, 91552, -5672, -67600, 90608, -52184, 34761, -14300, 4972, -1444, 358, -52, 12, -4, 1], 'lmfdb_label': '5586.y4', 'torsion': [2, 8]}
  • id: 290925
    {'degree': 16, 'field': [41368576, -49763328, 43165088, -26870720, 14451164, -9009192, 4540520, -683340, -471911, 206160, 5944, -16624, 1914, 440, -80, -4, 1], 'lmfdb_label': '5586.y4', 'torsion': [2, 8]}
  • id: 290928
    {'degree': 16, 'field': [70905888, 25110000, 49735080, 3270672, 5081400, 2508438, 240388, 269018, 48831, 9396, 4260, 726, -84, 42, 12, -4, 1], 'lmfdb_label': '5586.y4', 'torsion': [12]}
  • id: 290923
    {'degree': 16, 'field': [321413184, 0, -102479904, 0, 15546708, 0, -1350936, 0, 92353, 0, -1688, 0, 618, 0, 16, 0, 1], 'lmfdb_label': '5586.y4', 'torsion': [4, 4]}
• 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: 109519
    {'conductor': 5586, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '5586.y4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 109520
    {'conductor': 5586, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '5586.y4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 109521
    {'conductor': 5586, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '5586.y4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 109522
    {'conductor': 5586, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5586.y4', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1700414
    {'adelic_gens': [[3185, 8, 3184, 9], [3025, 3024, 70, 295], [1, 0, 8, 1], [1, 8, 0, 1], [2003, 630, 2114, 2339], [1, 4, 4, 17], [2668, 2737, 3143, 918], [764, 2737, 175, 918], [7, 6, 3186, 3187], [2279, 0, 0, 3191]], 'adelic_image': '3192.48.0.?', 'conductor': 5586, 'lmfdb_label': '5586.y4', 'prime': 0}
  • id: 27527
    {'conductor': 5586, 'elladic_image': '8.12.0.11', 'lmfdb_label': '5586.y4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 211347
    {'lmfdb_iso': '5586.y', 'p': 5, 'prec': 20, 'unit': 60256701985153, 'val': 0}
  • id: 211346
    {'lmfdb_iso': '5586.y', 'p': 11, 'prec': 20, 'unit': 1854826116135410256, 'val': 2}
  • id: 211353
    {'lmfdb_iso': '5586.y', 'p': 13, 'prec': 20, 'unit': 1302636480412014950788, 'val': 1}
  • id: 211355
    {'lmfdb_iso': '5586.y', 'p': 17, 'prec': 20, 'unit': 111787842324719081023334, 'val': 1}
  • id: 211360
    {'lmfdb_iso': '5586.y', 'p': 23, 'prec': 20, 'unit': 33784161579816511236969223, 'val': 1}
  • id: 211352
    {'lmfdb_iso': '5586.y', 'p': 29, 'prec': 20, 'unit': 1650036802981479706290124320, 'val': 1}
  • id: 211349
    {'lmfdb_iso': '5586.y', 'p': 31, 'prec': 20, 'unit': 11690299738553591167296180062, 'val': 1}
  • id: 211364
    {'lmfdb_iso': '5586.y', 'p': 37, 'prec': 20, 'unit': 16876778203748755341838040184, 'val': 1}
  • id: 211350
    {'lmfdb_iso': '5586.y', 'p': 41, 'prec': 20, 'unit': 2825651074560050386636974626005, 'val': 1}
  • id: 211351
    {'lmfdb_iso': '5586.y', 'p': 43, 'prec': 20, 'unit': 363399639651536049694154486431, 'val': 1}
  • id: 211362
    {'lmfdb_iso': '5586.y', 'p': 47, 'prec': 20, 'unit': 35540084868044069273615034053931, 'val': 1}
  • id: 211357
    {'lmfdb_iso': '5586.y', 'p': 53, 'prec': 20, 'unit': 494497129164454688313488903809160, 'val': 1}
  • id: 211358
    {'lmfdb_iso': '5586.y', 'p': 59, 'prec': 20, 'unit': 2065538972951164660454035601354697, 'val': 1}
  • id: 211363
    {'lmfdb_iso': '5586.y', 'p': 61, 'prec': 20, 'unit': 859773679622360549343968729734480, 'val': 1}
  • id: 211356
    {'lmfdb_iso': '5586.y', 'p': 67, 'prec': 20, 'unit': 43367971077863112325137242352254114, 'val': 1}
  • id: 211348
    {'lmfdb_iso': '5586.y', 'p': 71, 'prec': 20, 'unit': 1815106028877947577922517367443608, 'val': 1}
  • id: 211359
    {'lmfdb_iso': '5586.y', 'p': 73, 'prec': 20, 'unit': 130629896318532636461070940848108838, 'val': 1}
  • id: 211354
    {'lmfdb_iso': '5586.y', 'p': 79, 'prec': 20, 'unit': 161407884298808791201133371670299762, 'val': 1}
  • id: 211345
    {'lmfdb_iso': '5586.y', 'p': 83, 'prec': 20, 'unit': 1129062845098463885317426196295970754, 'val': 1}
  • id: 211361
    {'lmfdb_iso': '5586.y', 'p': 89, 'prec': 20, 'unit': 9643091224598573727263908513273240653, 'val': 1}
  • id: 211344
    {'lmfdb_iso': '5586.y', 'p': 97, 'prec': 20, 'unit': 24690435941395774379144793538240191013, 'val': 1}