Elliptic curve data - 10608.q4

Formats: - HTML - YAML - JSON - 2024-06-13T11:13:08.425704

• 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': '10608z', 'Clabel': '10608z1', 'Cnumber': 1, 'abc_quality': 0.85449985979477, 'absD': 695205888, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5304, 'ainvs': [0, 1, 0, 136, -1068], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10608, 'degree': 3072, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38044844716834246680333988726', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [67419143, 169728], 'lmfdb_iso': '10608.q', 'lmfdb_label': '10608.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 9, 21], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '52.12.0-4.c.1.1', '104.24.0.?', '204.12.0.?', '408.24.0.?', '1326.6.0.?', '2652.24.0.?', '5304.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7796045158901326188095582157', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31269873339160284261389223420', 'prec': 107}, 'szpiro_ratio': 2.972506087300494, '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, 0, 1, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, -2, 0, 1, 0, 0, 0], 'aplist': [0, 1, -2, 0, 0, 1, 1, 0, 0, -2, -8, 10, -6, 4, 8, -2, 4, -10, -8, 12, 6, 8, -12, -10, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 10608, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '10608.q', 'trace_hash': 1180497997078940056}
• 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': '0.46724716768382897971561993925', 'prec': 103}, 'conductor': 10608, 'gens': [[177, 2799, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '5.7796045158901326188095582157', 'prec': 100}], 'lmfdb_label': '10608.q4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.83060129335968151437640751250', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8005469860058001038967816917626248636', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[6, 0, 1]], 'xcoord_integral_points': [6]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [5, 0], '7': [1, 1, 0], '11': [1, 3, 0], '13': [2, 0], '17': [2, 0], '19': [1, 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': '10608.q4'}
• ec_torsion_growth •

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

  
  
  • id: 549514
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [4]}
  • id: 549515
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [4]}
  • id: 549513
    {'degree': 2, 'field': [166, -1, 1], 'lmfdb_label': '10608.q4', 'torsion': [2, 2]}
  • id: 549517
    {'degree': 4, 'field': [-204, -204, -51, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [8]}
  • id: 549516
    {'degree': 4, 'field': [256, 0, -19, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [2, 4]}
  • id: 549521
    {'degree': 8, 'field': [-768, 0, -304, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [6]}
  • id: 549520
    {'degree': 8, 'field': [256, 0, -560, 0, 504, 0, -35, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [2, 8]}
  • id: 549519
    {'degree': 8, 'field': [1849, 0, -394, 0, -37, 0, 14, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [8]}
  • id: 549518
    {'degree': 8, 'field': [460203, -26412, 27792, -2748, 1345, 32, -6, -4, 1], 'lmfdb_label': '10608.q4', 'torsion': [2, 4]}
  • id: 549524
    {'degree': 16, 'field': [-14684786, -13242488, -15946812, -6741070, -1555093, 739974, 1246912, 838228, 188565, -32468, -28556, -6486, 1529, 542, -72, -8, 1], 'lmfdb_label': '10608.q4', 'torsion': [16]}
  • id: 549525
    {'degree': 16, 'field': [589824, 0, -9207552, 0, 39956224, 0, -10825440, 0, 1489485, 0, -101384, 0, 3786, 0, 0, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [2, 6]}
  • id: 549526
    {'degree': 16, 'field': [10653696, 0, -10758144, 0, 5771008, 0, -1050288, 0, -152016, 0, 10288, 0, 321, 0, -45, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [12]}
  • id: 549523
    {'degree': 16, 'field': [10738729, 0, 966884, 0, -212566, 0, -70632, 0, 8339, 0, 504, 0, -94, 0, -4, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [2, 8]}
  • id: 549522
    {'degree': 16, 'field': [16777216, 0, 0, 0, 6479872, 0, 0, 0, -45039, 0, 0, 0, 1582, 0, 0, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [4, 4]}
  • id: 549527
    {'degree': 16, 'field': [34668544, 0, 34598912, 0, -59648, 0, -983088, 0, 52608, 0, 5112, 0, -335, 0, -13, 0, 1], 'lmfdb_label': '10608.q4', 'torsion': [12]}
• 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: 225774
    {'conductor': 10608, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '10608.q4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 225775
    {'conductor': 10608, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10608.q4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 225776
    {'conductor': 10608, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10608.q4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 225777
    {'conductor': 10608, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10608.q4', 'prime': 17, '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: 1734217
    {'adelic_gens': [[667, 666, 2002, 4651], [4904, 3, 413, 2], [1, 0, 8, 1], [7, 6, 5298, 5299], [1, 8, 0, 1], [1, 4, 4, 17], [1772, 1, 3559, 6], [655, 660, 658, 3313], [5297, 8, 5296, 9], [2188, 1, 647, 6]], 'adelic_image': '5304.48.0.?', 'conductor': 10608, 'lmfdb_label': '10608.q4', 'prime': 0}
  • id: 51067
    {'conductor': 10608, 'elladic_image': '8.12.0.6', 'lmfdb_label': '10608.q4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 452903
    {'lmfdb_iso': '10608.q', 'p': 5, 'prec': 20, 'unit': 536133290898, 'val': 3}
  • id: 452894
    {'lmfdb_iso': '10608.q', 'p': 29, 'prec': 20, 'unit': 4554660782993203324351807412, 'val': 1}
  • id: 452891
    {'lmfdb_iso': '10608.q', 'p': 31, 'prec': 20, 'unit': 2174804989427014359873230450, 'val': 1}
  • id: 452889
    {'lmfdb_iso': '10608.q', 'p': 37, 'prec': 20, 'unit': 375049319883820301279033884027, 'val': 1}
  • id: 452892
    {'lmfdb_iso': '10608.q', 'p': 41, 'prec': 20, 'unit': 1523809268018567639553081166925, 'val': 1}
  • id: 452893
    {'lmfdb_iso': '10608.q', 'p': 43, 'prec': 20, 'unit': 2184019734985044831134614902865, 'val': 1}
  • id: 452901
    {'lmfdb_iso': '10608.q', 'p': 47, 'prec': 20, 'unit': 51832277233721767111771280345088, 'val': 1}
  • id: 452898
    {'lmfdb_iso': '10608.q', 'p': 53, 'prec': 20, 'unit': 429806427905256291093761528295623, 'val': 1}
  • id: 452896
    {'lmfdb_iso': '10608.q', 'p': 59, 'prec': 20, 'unit': 3201046842388277852002588675187008, 'val': 1}
  • id: 452902
    {'lmfdb_iso': '10608.q', 'p': 61, 'prec': 20, 'unit': 5759622515877011894504757378384527, 'val': 1}
  • id: 452888
    {'lmfdb_iso': '10608.q', 'p': 67, 'prec': 20, 'unit': 32293243706931615194444043842361691, 'val': 1}
  • id: 452890
    {'lmfdb_iso': '10608.q', 'p': 71, 'prec': 20, 'unit': 50660046342388394565244581413123394, 'val': 1}
  • id: 452899
    {'lmfdb_iso': '10608.q', 'p': 73, 'prec': 20, 'unit': 142406327966201478422525541035053492, 'val': 1}
  • id: 452895
    {'lmfdb_iso': '10608.q', 'p': 79, 'prec': 20, 'unit': 478189290347634063023962688635538519, 'val': 1}
  • id: 452897
    {'lmfdb_iso': '10608.q', 'p': 83, 'prec': 20, 'unit': 314917420048762073484691933752628075, 'val': 1}
  • id: 452900
    {'lmfdb_iso': '10608.q', 'p': 89, 'prec': 20, 'unit': 3551408330922286283802221438818654303, 'val': 1}
  • id: 452887
    {'lmfdb_iso': '10608.q', 'p': 97, 'prec': 20, 'unit': 42092534426605112762645530212627524717, 'val': 1}