Elliptic curve data - 17136.bb1

Formats: - HTML - YAML - JSON - 2025-10-23T10:24:13.385291

• 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': '17136h', 'Clabel': '17136h1', 'Cnumber': 1, 'abc_quality': 1.0406019488640637, 'absD': 7958736747553536, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 102, 'ainvs': [0, 0, 0, 6108, 4288268], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 17136, 'degree': 67584, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7302318740609751761061465354', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1], 'jinv': [135037162496, 42645837339], 'lmfdb_iso': '17136.bb', 'lmfdb_label': '17136.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 679, 159051], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['102.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2439515475058181444775328162', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 153], [3, 8, 112], [7, 8, 2448], [17, 18, 1008]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.71882760935362345746370250263', 'prec': 103}, 'szpiro_ratio': 4.520075720484771, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 0, 1, 0, 0, 0, -3, 0, 1, 0, 0, 0, -1, 0, 1, 0], 'aplist': [0, 0, 1, 1, -3, 1, -1, 1, 5, 6, -4, -10, -5, 9, 4, 0, -8, -10, 0, -8, -10, 4, -2, 0, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 17136, 'isogeny_matrix': [[1]], 'lmfdb_iso': '17136.bb', 'trace_hash': 378780647194442379}
• 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': '0.031415189904414742795768556650', 'prec': 107}, 'conductor': 17136, 'gens': [[433, 9387, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2439515475058181444775328162', 'prec': 100}], 'lmfdb_label': '17136.bb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32215566481053821908368961213', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4688521288417972695609676293482083776', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [433]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [7, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [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.bb1'}
• ec_torsion_growth •

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

  
  
  • id: 876659
    {'degree': 3, 'field': [-3, 1, -1, 1], 'lmfdb_label': '17136.bb1', 'torsion': [2]}
  • id: 876660
    {'degree': 6, 'field': [9, -27, 30, -15, 4, -1, 1], 'lmfdb_label': '17136.bb1', 'torsion': [2, 2]}
  • id: 876661
    {'degree': 8, 'field': [-14, -52, 34, 16, -4, -2, 4, -4, 1], 'lmfdb_label': '17136.bb1', 'torsion': [3]}
  • id: 876662
    {'degree': 12, 'field': [-1701, 810, -2214, 756, -639, 492, -176, 20, -35, 34, 10, -4, 1], 'lmfdb_label': '17136.bb1', 'torsion': [4]}
• 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: 381888
    {'conductor': 17136, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '17136.bb1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 381889
    {'conductor': 17136, 'conductor_valuation': 2, 'discriminant_valuation': 17, 'j_denominator_valuation': 11, 'kodaira_symbol': -15, 'lmfdb_label': '17136.bb1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 381890
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17136.bb1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 381891
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '17136.bb1', '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

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 1, 101, 0], [1, 0, 2, 1], [35, 2, 35, 3], [37, 2, 37, 3], [101, 2, 100, 3]], 'adelic_image': '102.2.0.?', 'conductor': 17136, 'lmfdb_label': '17136.bb1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 780388
    {'lmfdb_iso': '17136.bb', 'p': 5, 'prec': 20, 'unit': 15110258127927, 'val': 1}
  • id: 780387
    {'lmfdb_iso': '17136.bb', 'p': 11, 'prec': 20, 'unit': 9502471819084660815, 'val': 1}
  • id: 780394
    {'lmfdb_iso': '17136.bb', 'p': 13, 'prec': 20, 'unit': 18627070018707852743448, 'val': -1}
  • id: 780397
    {'lmfdb_iso': '17136.bb', 'p': 19, 'prec': 20, 'unit': 13832618768404997433834783, 'val': -1}
  • id: 780399
    {'lmfdb_iso': '17136.bb', 'p': 23, 'prec': 20, 'unit': 50750580670236668318204116, 'val': 1}
  • id: 780393
    {'lmfdb_iso': '17136.bb', 'p': 29, 'prec': 20, 'unit': 2404217258011071727376272564, 'val': 1}
  • id: 780390
    {'lmfdb_iso': '17136.bb', 'p': 31, 'prec': 20, 'unit': 563328679922840355091469988, 'val': 1}
  • id: 780402
    {'lmfdb_iso': '17136.bb', 'p': 37, 'prec': 20, 'unit': 55013223787236666141644572815, 'val': 1}
  • id: 780391
    {'lmfdb_iso': '17136.bb', 'p': 41, 'prec': 20, 'unit': 1094800428092073171524965282180, 'val': 1}
  • id: 780392
    {'lmfdb_iso': '17136.bb', 'p': 43, 'prec': 20, 'unit': 220161616541916536368752449130, 'val': 1}
  • id: 780400
    {'lmfdb_iso': '17136.bb', 'p': 47, 'prec': 20, 'unit': 25008579975549562498627462449323, 'val': 1}
  • id: 780396
    {'lmfdb_iso': '17136.bb', 'p': 59, 'prec': 20, 'unit': 4262390762888582770292873722485394, 'val': 1}
  • id: 780401
    {'lmfdb_iso': '17136.bb', 'p': 61, 'prec': 20, 'unit': 1019891032595752269163967335219735, 'val': 1}
  • id: 780389
    {'lmfdb_iso': '17136.bb', 'p': 71, 'prec': 20, 'unit': 49720300478839766662571178471331918, 'val': 1}
  • id: 780398
    {'lmfdb_iso': '17136.bb', 'p': 73, 'prec': 20, 'unit': 181492783626451399935906657204313252, 'val': 1}
  • id: 780395
    {'lmfdb_iso': '17136.bb', 'p': 79, 'prec': 20, 'unit': 921208781041413140977973171669059077, 'val': 1}
  • id: 780386
    {'lmfdb_iso': '17136.bb', 'p': 83, 'prec': 20, 'unit': 1386211706742827337511140852340520285, 'val': 1}
  • id: 780385
    {'lmfdb_iso': '17136.bb', 'p': 97, 'prec': 20, 'unit': 48277110230026030458129848141539214902, 'val': 1}