Elliptic curve data - 17136.j2

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

  
  {'Ciso': '17136bq', 'Clabel': '17136bq1', 'Cnumber': 1, 'abc_quality': 1.0327483148439884, 'absD': 1871632141696106496, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [0, 0, 0, -480171, 143993050], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17136, 'degree': 258048, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2352675746437600700898797615', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [-4100379159705193, 626805817344], 'lmfdb_iso': '17136.j', 'lmfdb_label': '17136.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3334, 81940], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '238.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2926594620374385627357434740', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99281424974975991497502502158', 'prec': 103}, 'szpiro_ratio': 5.2409506604767095, '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, 0, 0, 0, 0, 1, 0, 2, 0], 'aplist': [0, 0, -2, 1, -6, 0, 1, 2, 0, 4, 0, 8, -2, 4, -8, 14, -6, -10, 0, -12, 14, -4, -6, 14, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 17136, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17136.j', 'trace_hash': 1029583295202651639}
• 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': '0.011441191466460331937529641363', 'prec': 107}, 'conductor': 17136, 'gens': [[213, 7168, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2926594620374385627357434740', 'prec': 100}], 'lmfdb_label': '17136.j2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25446406787350773599047315002', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9472246210227211563282943689324565608', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-811, 0, 1]], 'xcoord_integral_points': [-811, 150, 213, 647]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [4, 0], '11': [1, 0], '13': [1, 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.j2'}
• ec_torsion_growth •

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

  
  
  • id: 877228
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '17136.j2', 'torsion': [2, 2]}
  • id: 877229
    {'degree': 4, 'field': [-263, -48, 8, 0, 1], 'lmfdb_label': '17136.j2', 'torsion': [4]}
  • id: 877232
    {'degree': 8, 'field': [-108, 0, 0, 0, -36, 0, 5, 0, 1], 'lmfdb_label': '17136.j2', 'torsion': [6]}
  • id: 877231
    {'degree': 8, 'field': [96100, 0, 11668, 0, 645, 0, 10, 0, 1], 'lmfdb_label': '17136.j2', 'torsion': [2, 4]}
  • id: 877230
    {'degree': 8, 'field': [535824, 0, 25980, 0, 1060, 0, 55, 0, 1], 'lmfdb_label': '17136.j2', 'torsion': [2, 4]}
  • id: 877233
    {'degree': 16, 'field': [43124992, -88427520, 19852544, 56932352, -31767168, -4342848, 4630896, 281216, -705327, 63240, 19492, -8184, 470, 440, -44, -8, 1], 'lmfdb_label': '17136.j2', 'torsion': [8]}
  • id: 877234
    {'degree': 16, 'field': [2697720846, 1113372182, -549147877, -350689214, 99612241, 125052222, 18878847, -10689406, -3116683, 224986, 142705, 14910, -2325, -814, 53, -2, 1], 'lmfdb_label': '17136.j2', 'torsion': [2, 6]}
• 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: 382152
    {'conductor': 17136, 'conductor_valuation': 4, 'discriminant_valuation': 26, 'j_denominator_valuation': 14, 'kodaira_symbol': -22, 'lmfdb_label': '17136.j2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 382153
    {'conductor': 17136, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '17136.j2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 382154
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '17136.j2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 382155
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17136.j2', '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: 1778101
    {'adelic_gens': [[1, 0, 4, 1], [121, 834, 832, 119], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [949, 4, 948, 5], [618, 1, 167, 0], [818, 1, 543, 0], [477, 4, 2, 9]], 'adelic_image': '952.12.0.?', 'conductor': 17136, 'lmfdb_label': '17136.j2', 'prime': 0}
  • id: 80314
    {'conductor': 17136, 'elladic_image': '8.6.0.1', 'lmfdb_label': '17136.j2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 780791
    {'lmfdb_iso': '17136.j', 'p': 5, 'prec': 20, 'unit': 11811399919023, 'val': 1}
  • id: 780777
    {'lmfdb_iso': '17136.j', 'p': 11, 'prec': 20, 'unit': 51881183841883768622, 'val': 1}
  • id: 780775
    {'lmfdb_iso': '17136.j', 'p': 19, 'prec': 20, 'unit': 690773545899434529057209, 'val': 1}
  • id: 780782
    {'lmfdb_iso': '17136.j', 'p': 29, 'prec': 20, 'unit': 829920721420524223554992335, 'val': 1}
  • id: 780778
    {'lmfdb_iso': '17136.j', 'p': 37, 'prec': 20, 'unit': 394511157452586134531594126851, 'val': 1}
  • id: 780780
    {'lmfdb_iso': '17136.j', 'p': 41, 'prec': 20, 'unit': 3913301471978219824617960603488, 'val': 1}
  • id: 780781
    {'lmfdb_iso': '17136.j', 'p': 43, 'prec': 20, 'unit': 1106204217710441516553077412691, 'val': 1}
  • id: 780789
    {'lmfdb_iso': '17136.j', 'p': 47, 'prec': 20, 'unit': 47024658103564446400156464874122, 'val': 1}
  • id: 780786
    {'lmfdb_iso': '17136.j', 'p': 53, 'prec': 20, 'unit': 510716263757765593317657598746275, 'val': 1}
  • id: 780784
    {'lmfdb_iso': '17136.j', 'p': 59, 'prec': 20, 'unit': 926288563807989923152476753823431, 'val': 1}
  • id: 780790
    {'lmfdb_iso': '17136.j', 'p': 61, 'prec': 20, 'unit': 2611099562805227204968762035265278, 'val': 1}
  • id: 780779
    {'lmfdb_iso': '17136.j', 'p': 71, 'prec': 20, 'unit': 132463231505889454926926294124992408, 'val': 1}
  • id: 780787
    {'lmfdb_iso': '17136.j', 'p': 73, 'prec': 20, 'unit': 217006366415098655437897549991371519, 'val': 1}
  • id: 780783
    {'lmfdb_iso': '17136.j', 'p': 79, 'prec': 20, 'unit': 794277904837471184007046626003309118, 'val': 1}
  • id: 780785
    {'lmfdb_iso': '17136.j', 'p': 83, 'prec': 20, 'unit': 854556814532499728563118468341259629, 'val': 1}
  • id: 780788
    {'lmfdb_iso': '17136.j', 'p': 89, 'prec': 20, 'unit': 4417898658386626550748067478089006848, 'val': 1}
  • id: 780776
    {'lmfdb_iso': '17136.j', 'p': 97, 'prec': 20, 'unit': 4953380618683444754014472112130831633, 'val': 1}