Elliptic curve data - 170352.fj3

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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': '170352fg', 'Clabel': '170352fg2', 'Cnumber': 2, 'abc_quality': 0.9793898903636942, 'absD': 32177419746990336, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1092, 'ainvs': [0, 0, 0, -383799, 91109590], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 170352, 'degree': 1474560, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0133962070852565862298975407', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 139, 'isogeny_degrees': [1, 2], 'jinv': [6940769488, 35721], 'lmfdb_iso': '170352.fj', 'lmfdb_label': '170352.fj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -252, 1620], 'min_quad_twist_disc': 156, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0.a.1', '52.12.0-2.a.1.1', '84.24.0.?', '156.24.0.?', '364.24.0.?', '1092.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.5954953230890081125323081397', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28048273635286350043929021285', 'prec': 107}, 'szpiro_ratio': 4.166428692712745, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 2, 1, 0, 0, 2, 4, -4, 10, -8, -6, -2, 4, -8, 10, -12, -2, 12, 12, 14, 8, -12, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 170352, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '170352.fj', 'trace_hash': 168817792303043624}
• 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': '0.017831434176935887451602767649', 'prec': 107}, 'conductor': 170352, 'gens': [[9633, 916825, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '6.5954953230890081125323081397', 'prec': 100}], 'lmfdb_label': '170352.fj3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37173899890007366908395964268', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.8072113146209032617818033861413196096', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[338, 0, 1], [377, 0, 1]], 'xcoord_integral_points': [-715, 338, 377]}
• lmfdb_label 170352.fj3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7574733
    {'degree': 4, 'field': [9, 3, 4, -1, 1], 'lmfdb_label': '170352.fj3', 'torsion': [2, 4]}
  • id: 7574732
    {'degree': 4, 'field': [64, 0, -23, 0, 1], 'lmfdb_label': '170352.fj3', 'torsion': [2, 4]}
  • id: 7574731
    {'degree': 4, 'field': [337, -16, 17, -2, 1], 'lmfdb_label': '170352.fj3', 'torsion': [2, 4]}
  • id: 7574734
    {'degree': 8, 'field': [-85683, 0, 0, 0, -1014, 0, -52, 0, 1], 'lmfdb_label': '170352.fj3', 'torsion': [2, 6]}
  • id: 7574735
    {'degree': 16, 'field': [10000, 0, 13100, 0, 401, 0, -4644, 0, 5324, 0, 2610, 0, 428, 0, 32, 0, 1], 'lmfdb_label': '170352.fj3', 'torsion': [4, 4]}
  • id: 7574738
    {'degree': 16, 'field': [31593, -12444, 66282, -84744, 2368, 4336, 57506, -25032, -20891, 11096, 4174, -2728, -152, 252, -16, -8, 1], 'lmfdb_label': '170352.fj3', 'torsion': [2, 8]}
  • id: 7574737
    {'degree': 16, 'field': [38416, 0, -1328096, 0, 3090332, 0, -1786008, 0, 218045, 0, -23118, 0, 1235, 0, -50, 0, 1], 'lmfdb_label': '170352.fj3', 'torsion': [2, 8]}
  • id: 7574736
    {'degree': 16, 'field': [27952369, 0, 4997154, 0, 3070609, 0, 297144, 0, 98766, 0, 2550, 0, 880, 0, -48, 0, 1], 'lmfdb_label': '170352.fj3', 'torsion': [2, 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: 4215590
    {'conductor': 170352, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '170352.fj3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4215591
    {'conductor': 170352, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '170352.fj3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4215592
    {'conductor': 170352, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '170352.fj3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4215593
    {'conductor': 170352, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '170352.fj3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2763212
    {'adelic_gens': [[157, 338, 0, 1], [1, 0, 4, 1], [545, 754, 0, 1091], [1, 4, 0, 1], [727, 416, 26, 831], [167, 0, 0, 1091], [1089, 4, 1088, 5]], 'adelic_image': '1092.48.0.?', 'conductor': 170352, 'lmfdb_label': '170352.fj3', 'prime': 0}
  • id: 643388
    {'conductor': 170352, 'elladic_image': '2.6.0.1', 'lmfdb_label': '170352.fj3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 170352.fj does not appear in ec_padic