Elliptic curve data - 161700.bo1

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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': '161700di', 'Clabel': '161700di2', 'Cnumber': 2, 'abc_quality': 0.8440797541278916, 'absD': 57071529900000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1540, 'ainvs': [0, -1, 0, -632508, -193066488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 161700, 'degree': 2211840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1017438045436332381725008148', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 40, 'isogeny_degrees': [1, 2], 'jinv': [59466754384, 121275], 'lmfdb_iso': '161700.bo', 'lmfdb_label': '161700.bo1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -516, 4680], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '44.6.0.a.1', '140.6.0.?', '1540.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13802834657437047462537663784', 'prec': 107}, 'szpiro_ratio': 4.309497434405152, '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, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -6, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, -1, 0, 0, 1, -6, 2, 0, -6, 6, 2, -10, 8, 8, 4, -6, 6, 8, -14, -8, -2, -16, 12, 18, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 161700, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '161700.bo', 'trace_hash': 1911667564347625596}
• 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': '0.014943369203288447300367661430', 'prec': 107}, 'conductor': 161700, 'gens': [], 'heights': [], 'lmfdb_label': '161700.bo1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16931140039555643148698556906', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3544912031644514518958845524741560047', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-443, 0, 1]], 'xcoord_integral_points': [-443]}
• lmfdb_label 161700.bo1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7226480
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '161700.bo1', 'torsion': [2, 2]}
  • id: 7226481
    {'degree': 4, 'field': [99, 0, -19, 0, 1], 'lmfdb_label': '161700.bo1', 'torsion': [4]}
  • id: 7226484
    {'degree': 8, 'field': [-3675, 0, 5320, 0, 210, 0, 0, 0, 1], 'lmfdb_label': '161700.bo1', 'torsion': [6]}
  • id: 7226483
    {'degree': 8, 'field': [2025, -1350, 9310, -3850, 571, -6, -8, -4, 1], 'lmfdb_label': '161700.bo1', 'torsion': [2, 4]}
  • id: 7226482
    {'degree': 8, 'field': [22657761, 41491296, -12698874, 377916, 72184, -3036, -322, 0, 1], 'lmfdb_label': '161700.bo1', 'torsion': [2, 4]}
  • id: 7226485
    {'degree': 16, 'field': [503374096, 0, -93658144, 0, -9655968, 0, 2779168, 0, 269500, 0, -55328, 0, 3192, 0, -76, 0, 1], 'lmfdb_label': '161700.bo1', 'torsion': [8]}
  • id: 7226486
    {'degree': 16, 'field': [9005250816, 0, 461832192, 0, -281256192, 0, -13360256, 0, 1719200, 0, -54656, 0, 3808, 0, -88, 0, 1], 'lmfdb_label': '161700.bo1', '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: 4000934
    {'conductor': 161700, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '161700.bo1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4000935
    {'conductor': 161700, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '161700.bo1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4000936
    {'conductor': 161700, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '161700.bo1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4000937
    {'conductor': 161700, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '161700.bo1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4000938
    {'conductor': 161700, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '161700.bo1', 'prime': 11, '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: 2709529
    {'adelic_gens': [[661, 4, 1322, 9], [1, 2, 2, 5], [1, 4, 0, 1], [1156, 389, 385, 1156], [617, 4, 1234, 9], [1537, 4, 1536, 5], [422, 1, 559, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '1540.12.0.?', 'conductor': 161700, 'lmfdb_label': '161700.bo1', 'prime': 0}
  • id: 615020
    {'conductor': 161700, 'elladic_image': '2.3.0.1', 'lmfdb_label': '161700.bo1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 161700.bo does not appear in ec_padic