Elliptic curve data - 170352.dc2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '170352gg', 'Clabel': '170352gg1', 'Cnumber': 1, 'abc_quality': 0.7086450424281577, 'absD': 309969773568, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -1755, -9126], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 170352, 'degree': 156672, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89695416615451096431326470021', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 80, 'isogeny_degrees': [1, 2], 'jinv': [13500, 7], 'lmfdb_iso': '170352.dc', 'lmfdb_label': '170352.dc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1755, 9126], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.e.1', '312.6.0.?', '546.6.0.?', '2184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 273], [3, 2, 18928], [7, 8, 24336], [13, 50, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1458650401785765794275678558', 'prec': 103}, 'szpiro_ratio': 2.824617523150318, '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, 4, 0, 0, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 0, -1, 4, 0, 6, 4, 4, -2, -8, 6, 6, -4, -6, -6, 12, 8, -6, 12, -2, 12, 0, -10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 170352, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '170352.dc', 'trace_hash': 1324437633825723512}
• 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': '0.16630890734540366240028391915', 'prec': 103}, 'conductor': 170352, 'gens': [], 'heights': [], 'lmfdb_label': '170352.dc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.78057516523832287467779493059', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1223006609532914987111797223572865181', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-39, 0, 1]], 'xcoord_integral_points': [-39]}
• lmfdb_label 170352.dc2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7575150
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '170352.dc2', 'torsion': [2, 2]}
  • id: 7575151
    {'degree': 4, 'field': [6006, -156, 78, 0, 1], 'lmfdb_label': '170352.dc2', 'torsion': [4]}
  • id: 7575154
    {'degree': 8, 'field': [-12675, 0, -1352, 0, -390, 0, 0, 0, 1], 'lmfdb_label': '170352.dc2', 'torsion': [6]}
  • id: 7575152
    {'degree': 8, 'field': [16, 0, -23264, 0, 297, 0, -83, 0, 1], 'lmfdb_label': '170352.dc2', 'torsion': [2, 4]}
  • id: 7575153
    {'degree': 8, 'field': [17689, 0, -11522, 0, 4386, 0, 94, 0, 1], 'lmfdb_label': '170352.dc2', 'torsion': [2, 4]}
  • id: 7575156
    {'degree': 16, 'field': [55166400, -173842560, 185157888, 37873536, -33658496, 7451424, 6845136, 3897504, 4836, -113088, -15340, 1728, 360, -252, -24, 0, 1], 'lmfdb_label': '170352.dc2', 'torsion': [2, 6]}
  • id: 7575155
    {'degree': 16, 'field': [6116960521, 0, -3890756912, 0, 2533650008, 0, -461342600, 0, 29683030, 0, 1841360, 0, 34712, 0, 296, 0, 1], 'lmfdb_label': '170352.dc2', 'torsion': [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: 4215790
    {'conductor': 170352, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '170352.dc2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4215791
    {'conductor': 170352, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '170352.dc2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4215792
    {'conductor': 170352, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '170352.dc2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4215793
    {'conductor': 170352, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '170352.dc2', 'prime': 13, 'reduction_type': 0, '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: 2763090
    {'adelic_gens': [[1, 2, 2, 5], [1516, 1, 167, 0], [1, 4, 0, 1], [1369, 820, 272, 1911], [1460, 1, 727, 0], [314, 1, 935, 0], [1093, 4, 2, 9], [1, 0, 4, 1], [2181, 4, 2180, 5], [3, 4, 8, 11]], 'adelic_image': '2184.12.0.?', 'conductor': 170352, 'lmfdb_label': '170352.dc2', 'prime': 0}
  • id: 643264
    {'conductor': 170352, 'elladic_image': '2.3.0.1', 'lmfdb_label': '170352.dc2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 170352.dc does not appear in ec_padic