Elliptic curve data - 17136.k1

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• 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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '17136b', 'Clabel': '17136b2', 'Cnumber': 2, 'abc_quality': 0.9281342891955315, 'absD': 144351420966144, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, 0, 0, -46791, 3852630], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17136, 'degree': 64512, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5257748425709761626068955922', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [2248430329584, 28647703], 'lmfdb_iso': '17136.k', 'lmfdb_label': '17136.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -46791, -3852630], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '28.6.0.d.1', '42.6.0.a.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.58036659217063457022235878779', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 21], [3, 2, 272], [7, 8, 2448], [17, 18, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23971750569659702111564025020', 'prec': 103}, 'szpiro_ratio': 4.500382188629265, '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, 0, 0, -2, 0, 1, 0, 0, 0, -6, 0, 2, 0, 0, 0, 1, 0, 0, 0], 'aplist': [0, 0, -2, 1, -6, 2, 1, 0, 6, -4, 4, -6, 6, -4, 12, -4, -4, 2, -4, -14, 10, 16, -8, -10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 17136, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17136.k', 'trace_hash': 1079704222985950056}
• 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': '0.047285589807106990807671626626', 'prec': 107}, 'conductor': 17136, 'gens': [[97, 476, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.58036659217063457022235878779', 'prec': 103}], 'lmfdb_label': '17136.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.58223071466800845930526428113', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0548870687473420246615922076247037806', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[114, 0, 1]], 'xcoord_integral_points': [6, 97, 114, 573]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [2, 0], '11': [3, 0], '13': [1, 0], '17': [2, 0], '19': [1, 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': '17136.k1'}
• ec_torsion_growth •

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

  
  
  • id: 876530
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '17136.k1', 'torsion': [2, 2]}
  • id: 876531
    {'degree': 4, 'field': [1, 2, 0, -1, 1], 'lmfdb_label': '17136.k1', 'torsion': [4]}
  • id: 876534
    {'degree': 8, 'field': [-48, 0, 16, 0, 24, 0, 0, 0, 1], 'lmfdb_label': '17136.k1', 'torsion': [6]}
  • id: 876532
    {'degree': 8, 'field': [1, -3, 4, -3, 3, -3, 4, -3, 1], 'lmfdb_label': '17136.k1', 'torsion': [2, 4]}
  • id: 876533
    {'degree': 8, 'field': [625, 0, -200, 0, -18, 0, -8, 0, 1], 'lmfdb_label': '17136.k1', 'torsion': [2, 4]}
  • id: 876536
    {'degree': 16, 'field': [1860121, 1108648, -1341756, 504000, -321822, 21192, 78832, -39080, -28341, 17832, 3456, -3144, -22, 224, -12, -8, 1], 'lmfdb_label': '17136.k1', 'torsion': [2, 6]}
  • id: 876535
    {'degree': 16, 'field': [3717817, 779004, 342496, -1723268, -317009, 1092924, 123256, -325416, -25718, 58460, 562, -5852, 308, 280, -20, -8, 1], 'lmfdb_label': '17136.k1', 'torsion': [8]}
• 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: 381836
    {'conductor': 17136, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '17136.k1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 381837
    {'conductor': 17136, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '17136.k1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 381838
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '17136.k1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 381839
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '17136.k1', 'prime': 17, 'reduction_type': 1, '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: 1778102
    {'adelic_gens': [[1, 2, 2, 5], [62, 1, 11, 0], [81, 4, 80, 5], [3, 4, 8, 11], [32, 1, 55, 0], [1, 4, 0, 1], [65, 22, 20, 63], [1, 0, 4, 1]], 'adelic_image': '84.12.0.?', 'conductor': 17136, 'lmfdb_label': '17136.k1', 'prime': 0}
  • id: 80315
    {'conductor': 17136, 'elladic_image': '2.3.0.1', 'lmfdb_label': '17136.k1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 780328
    {'lmfdb_iso': '17136.k', 'p': 5, 'prec': 20, 'unit': 6070041547371, 'val': 1}
  • id: 780327
    {'lmfdb_iso': '17136.k', 'p': 11, 'prec': 20, 'unit': 322371042634949054, 'val': 3}
  • id: 780334
    {'lmfdb_iso': '17136.k', 'p': 13, 'prec': 20, 'unit': 856529779305112074928, 'val': 1}
  • id: 780340
    {'lmfdb_iso': '17136.k', 'p': 23, 'prec': 20, 'unit': 46656152971743482739318301, 'val': 1}
  • id: 780333
    {'lmfdb_iso': '17136.k', 'p': 29, 'prec': 20, 'unit': 2995617137603686776869488793, 'val': 1}
  • id: 780330
    {'lmfdb_iso': '17136.k', 'p': 31, 'prec': 20, 'unit': 15352914072901574218847954374, 'val': 1}
  • id: 780344
    {'lmfdb_iso': '17136.k', 'p': 37, 'prec': 20, 'unit': 512994491933387496782454074603, 'val': 1}
  • id: 780331
    {'lmfdb_iso': '17136.k', 'p': 41, 'prec': 20, 'unit': 324600395252543230850432112105, 'val': 1}
  • id: 780332
    {'lmfdb_iso': '17136.k', 'p': 43, 'prec': 20, 'unit': 6427169153527351401253013393383, 'val': 1}
  • id: 780342
    {'lmfdb_iso': '17136.k', 'p': 47, 'prec': 20, 'unit': 41337245563501198093295579732952, 'val': 1}
  • id: 780338
    {'lmfdb_iso': '17136.k', 'p': 53, 'prec': 20, 'unit': 16458378111733080626663809887198, 'val': 1}
  • id: 780336
    {'lmfdb_iso': '17136.k', 'p': 59, 'prec': 20, 'unit': 1476697949335191975191363597833764, 'val': 1}
  • id: 780343
    {'lmfdb_iso': '17136.k', 'p': 61, 'prec': 20, 'unit': 3795213815821826789354468042730474, 'val': 1}
  • id: 780337
    {'lmfdb_iso': '17136.k', 'p': 67, 'prec': 20, 'unit': 8273402640680662709470297458650231, 'val': 1}
  • id: 780329
    {'lmfdb_iso': '17136.k', 'p': 71, 'prec': 20, 'unit': 60843100099474169796552617240471227, 'val': 1}
  • id: 780339
    {'lmfdb_iso': '17136.k', 'p': 73, 'prec': 20, 'unit': 226157048814183036282687445172485422, 'val': 1}
  • id: 780335
    {'lmfdb_iso': '17136.k', 'p': 79, 'prec': 20, 'unit': 1110562505584258251277509961412000814, 'val': 1}
  • id: 780326
    {'lmfdb_iso': '17136.k', 'p': 83, 'prec': 20, 'unit': 1480390989272274495310851814133209767, 'val': 1}
  • id: 780341
    {'lmfdb_iso': '17136.k', 'p': 89, 'prec': 20, 'unit': 10569796144174126752425842868172158207, 'val': 1}
  • id: 780325
    {'lmfdb_iso': '17136.k', 'p': 97, 'prec': 20, 'unit': 53625315978101266829819141139909772330, 'val': 1}