Elliptic curve data - 17136.x1

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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': '17136bm', 'Clabel': '17136bm2', 'Cnumber': 2, 'abc_quality': 0.962208541820214, 'absD': 4143882903552, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [0, 0, 0, -4035, 11842], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17136, 'degree': 18432, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1108499378682980611819982041', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [2433138625, 1387778], 'lmfdb_iso': '17136.x', 'lmfdb_label': '17136.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -28, -5], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '68.6.0.c.1', '136.12.0.?'], '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': '0.92645395941797198713339222599', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 6, 1904], [7, 8, 2448], [17, 18, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13160338702570209393285653582', 'prec': 107}, 'szpiro_ratio': 3.7462431597905232, '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, 0, 0, 1, 0, 0, 0, -2, 0, -2, 0, 0, 0, 1, 0, 0, 0], 'aplist': [0, 0, 0, 1, -2, -2, 1, 0, 4, -4, 0, 8, 2, 0, 0, -2, 4, -12, 8, 12, -14, -12, 4, 6, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 17136, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17136.x', 'trace_hash': 354320482148233601}
• 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': '0.10842464366443727926721800059', 'prec': 103}, 'conductor': 17136, 'gens': [[-1, 126, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.92645395941797198713339222599', 'prec': 103}], 'lmfdb_label': '17136.x1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.66911351797608086649375303204', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9592229442322279423485218012040719549', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[62, 0, 1]], 'xcoord_integral_points': [-57, -1, 62, 258]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '17136.x1'}
• ec_torsion_growth •

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

  
  
  • id: 877189
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '17136.x1', 'torsion': [2, 2]}
  • id: 877190
    {'degree': 4, 'field': [-2, 10, -7, -1, 1], 'lmfdb_label': '17136.x1', 'torsion': [4]}
  • id: 877193
    {'degree': 8, 'field': [-108, 0, 0, 0, 36, 0, -31, 0, 1], 'lmfdb_label': '17136.x1', 'torsion': [6]}
  • id: 877192
    {'degree': 8, 'field': [-36, 144, -114, -108, 91, 26, -19, -2, 1], 'lmfdb_label': '17136.x1', 'torsion': [2, 4]}
  • id: 877191
    {'degree': 8, 'field': [49, 0, 20, 0, 20, 0, 4, 0, 1], 'lmfdb_label': '17136.x1', 'torsion': [2, 4]}
  • id: 877194
    {'degree': 16, 'field': [-68, -64600, -135864, 602616, -67712, 7728, -157712, 11512, 23919, 5730, -554, -3042, 603, 166, -40, -4, 1], 'lmfdb_label': '17136.x1', 'torsion': [8]}
  • id: 877195
    {'degree': 16, 'field': [275625, 0, -1303400, 0, 372316, 0, 24876, 0, -5062, 0, -2968, 0, 648, 0, -44, 0, 1], 'lmfdb_label': '17136.x1', '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: 382128
    {'conductor': 17136, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '17136.x1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 382129
    {'conductor': 17136, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '17136.x1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 382130
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '17136.x1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 382131
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17136.x1', '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: 1778119
    {'adelic_gens': [[133, 4, 132, 5], [2, 1, 67, 0], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [121, 18, 16, 119], [1, 2, 2, 5], [105, 4, 74, 9]], 'adelic_image': '136.12.0.?', 'conductor': 17136, 'lmfdb_label': '17136.x1', 'prime': 0}
  • id: 80323
    {'conductor': 17136, 'elladic_image': '8.6.0.6', 'lmfdb_label': '17136.x1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 780653
    {'lmfdb_iso': '17136.x', 'p': 11, 'prec': 20, 'unit': 4946041521122398113, 'val': 1}
  • id: 780655
    {'lmfdb_iso': '17136.x', 'p': 13, 'prec': 20, 'unit': 1328684067229452598030, 'val': 1}
  • id: 780660
    {'lmfdb_iso': '17136.x', 'p': 23, 'prec': 20, 'unit': 37570482763665740011314307, 'val': 1}
  • id: 780654
    {'lmfdb_iso': '17136.x', 'p': 29, 'prec': 20, 'unit': 5694331177115676354177137510, 'val': 1}
  • id: 780650
    {'lmfdb_iso': '17136.x', 'p': 37, 'prec': 20, 'unit': 88627623202756883918484797155, 'val': 1}
  • id: 780652
    {'lmfdb_iso': '17136.x', 'p': 41, 'prec': 20, 'unit': 2881411344152092333771335875707, 'val': 1}
  • id: 780658
    {'lmfdb_iso': '17136.x', 'p': 53, 'prec': 20, 'unit': 202674960769856131717075646074209, 'val': 1}
  • id: 780662
    {'lmfdb_iso': '17136.x', 'p': 59, 'prec': 20, 'unit': 2606585250727817532641344147899480, 'val': 1}
  • id: 780663
    {'lmfdb_iso': '17136.x', 'p': 61, 'prec': 20, 'unit': 5351430648019432881779664224449421, 'val': 1}
  • id: 780649
    {'lmfdb_iso': '17136.x', 'p': 67, 'prec': 20, 'unit': 24887619044757303183760322212118228, 'val': 1}
  • id: 780651
    {'lmfdb_iso': '17136.x', 'p': 71, 'prec': 20, 'unit': 113920568159693983628500607490734023, 'val': 1}
  • id: 780659
    {'lmfdb_iso': '17136.x', 'p': 73, 'prec': 20, 'unit': 27573198675255827485598175730525856, 'val': 1}
  • id: 780656
    {'lmfdb_iso': '17136.x', 'p': 79, 'prec': 20, 'unit': 485788786456057089951698743770869535, 'val': 1}
  • id: 780657
    {'lmfdb_iso': '17136.x', 'p': 83, 'prec': 20, 'unit': 2638183419521708274718958885930310576, 'val': 1}
  • id: 780661
    {'lmfdb_iso': '17136.x', 'p': 89, 'prec': 20, 'unit': 7059435904021358438349355380828678376, 'val': 1}
  • id: 780648
    {'lmfdb_iso': '17136.x', 'p': 97, 'prec': 20, 'unit': 54519544929129485740506438406815308504, 'val': 1}