Elliptic curve data - 17136.l1

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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': '17136bp', 'Clabel': '17136bp1', 'Cnumber': 1, 'abc_quality': 1.0268382310671036, 'absD': 3468651984, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1428, 'ainvs': [0, 0, 0, -3036, -64325], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17136, 'degree': 11520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74464772834759680368421054112', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [265327034368, 297381], 'lmfdb_iso': '17136.l', 'lmfdb_label': '17136.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -337, -2270], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '42.6.0.a.1', '68.6.0.b.1', '1428.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2349177816517486295911256327', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 8, 272], [7, 8, 2448], [17, 18, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.035707476173106478485822784494', 'prec': 110}, 'szpiro_ratio': 3.658705785745212, '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, 0, 0, 6, 0, 0, 0, 1, 0, 2, 0], 'aplist': [0, 0, -2, 1, 0, 6, 1, 2, 0, -8, 0, 2, -2, -8, -8, 2, 12, -4, -12, 0, 8, 8, 0, -10, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 17136, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17136.l', 'trace_hash': 622440126347360423}
• 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': '0.22553149628350639212877185505', 'prec': 103}, 'conductor': 17136, 'gens': [[173, 2142, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2349177816517486295911256327', 'prec': 100}], 'lmfdb_label': '17136.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.64321081681688241013902552214', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7658748502274820659924537312927327400', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-31, 0, 1]], 'xcoord_integral_points': [-31, 173]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': [2, 0], '11': [1, 3, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '17136.l1'}
• ec_torsion_growth •

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

  
  
  • id: 877214
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '17136.l1', 'torsion': [2, 2]}
  • id: 877215
    {'degree': 4, 'field': [9, 6, 12, -2, 1], 'lmfdb_label': '17136.l1', 'torsion': [4]}
  • id: 877218
    {'degree': 8, 'field': [-108, 0, 0, 0, -36, 0, 5, 0, 1], 'lmfdb_label': '17136.l1', 'torsion': [6]}
  • id: 877216
    {'degree': 8, 'field': [625, -500, -400, 100, 106, 20, -16, -4, 1], 'lmfdb_label': '17136.l1', 'torsion': [2, 4]}
  • id: 877217
    {'degree': 8, 'field': [7989, 4182, -782, -714, 195, -34, 0, 0, 1], 'lmfdb_label': '17136.l1', 'torsion': [2, 4]}
  • id: 877220
    {'degree': 16, 'field': [-779331, 3343662, -2061386, -1951454, -469244, 1495072, -120416, -284774, 24945, 26832, -1776, -1454, -152, 154, -2, -8, 1], 'lmfdb_label': '17136.l1', 'torsion': [2, 6]}
  • id: 877219
    {'degree': 16, 'field': [92505924, 0, -57943872, 0, 17419864, 0, -2361968, 0, 353480, 0, -17792, 0, 1148, 0, -8, 0, 1], 'lmfdb_label': '17136.l1', '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: 382144
    {'conductor': 17136, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '17136.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 382145
    {'conductor': 17136, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '17136.l1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 382146
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '17136.l1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 382147
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17136.l1', '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: 1778104
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1425, 4, 1424, 5], [361, 1072, 356, 1071], [1261, 4, 1094, 9], [818, 1, 1019, 0], [478, 1, 475, 0]], 'adelic_image': '1428.12.0.?', 'conductor': 17136, 'lmfdb_label': '17136.l1', 'prime': 0}
  • id: 80317
    {'conductor': 17136, 'elladic_image': '2.3.0.1', 'lmfdb_label': '17136.l1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 780755
    {'lmfdb_iso': '17136.l', 'p': 5, 'prec': 20, 'unit': 498529821284, 'val': 2}
  • id: 780746
    {'lmfdb_iso': '17136.l', 'p': 13, 'prec': 20, 'unit': 776597238908153086787, 'val': 1}
  • id: 780749
    {'lmfdb_iso': '17136.l', 'p': 19, 'prec': 20, 'unit': 954545913518704805385307, 'val': 1}
  • id: 780745
    {'lmfdb_iso': '17136.l', 'p': 29, 'prec': 20, 'unit': 1775922679048323626839908356, 'val': 1}
  • id: 780742
    {'lmfdb_iso': '17136.l', 'p': 37, 'prec': 20, 'unit': 399861773251370712585560333888, 'val': 1}
  • id: 780743
    {'lmfdb_iso': '17136.l', 'p': 41, 'prec': 20, 'unit': 1510062528714866944508702006199, 'val': 1}
  • id: 780744
    {'lmfdb_iso': '17136.l', 'p': 43, 'prec': 20, 'unit': 8342655776469588834382955447146, 'val': 1}
  • id: 780753
    {'lmfdb_iso': '17136.l', 'p': 47, 'prec': 20, 'unit': 53480463874801867650663334835925, 'val': 1}
  • id: 780750
    {'lmfdb_iso': '17136.l', 'p': 53, 'prec': 20, 'unit': 334331996144925394173840074705260, 'val': 1}
  • id: 780748
    {'lmfdb_iso': '17136.l', 'p': 59, 'prec': 20, 'unit': 2461224018929063118718346310742247, 'val': 1}
  • id: 780754
    {'lmfdb_iso': '17136.l', 'p': 61, 'prec': 20, 'unit': 1786155414714863412909194171273535, 'val': 1}
  • id: 780741
    {'lmfdb_iso': '17136.l', 'p': 67, 'prec': 20, 'unit': 26571480452392667670557358558182542, 'val': 1}
  • id: 780751
    {'lmfdb_iso': '17136.l', 'p': 73, 'prec': 20, 'unit': 43426398182752091246252238512268971, 'val': 1}
  • id: 780747
    {'lmfdb_iso': '17136.l', 'p': 79, 'prec': 20, 'unit': 450617729206171812779090651249307200, 'val': 1}
  • id: 780752
    {'lmfdb_iso': '17136.l', 'p': 89, 'prec': 20, 'unit': 669866008649513767707252268639888047, 'val': 1}
  • id: 780740
    {'lmfdb_iso': '17136.l', 'p': 97, 'prec': 20, 'unit': 22373977310489991794600413397998109827, 'val': 1}