Elliptic curve data - 170352.m2

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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': '170352l', 'Clabel': '170352l1', 'Cnumber': 1, 'abc_quality': 0.7693806128051703, 'absD': 34100624337002496, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [0, 0, 0, 72501, -4741126], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 170352, 'degree': 1347840, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8601824830278663833790520088', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 3], 'jinv': [17303, 14], 'lmfdb_iso': '170352.m', 'lmfdb_label': '170352.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 3, -1], 'min_quad_twist_disc': 156, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.2', '56.2.0.b.1', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9196590051994799438738297024', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0922370801738249291047943588', 'prec': 103}, 'szpiro_ratio': 3.751376999935975, '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, -3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -3, -1, 0, 0, -6, 4, 3, -6, 10, 8, 0, -8, 6, -12, 3, 11, -2, -3, 2, 4, 0, 6, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 170352, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '170352.m', 'trace_hash': 975814594078153596}
• 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': '0.024225124883820335896132491564', 'prec': 107}, 'conductor': 170352, 'gens': [[845, 25688, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9196590051994799438738297024', 'prec': 100}], 'lmfdb_label': '170352.m2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20409911557414361491778354519', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7016084619818505879152476060716734479', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [845]}
• lmfdb_label 170352.m2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7572722
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '170352.m2', 'torsion': [3]}
  • id: 7572723
    {'degree': 3, 'field': [-26, -13, 0, 1], 'lmfdb_label': '170352.m2', 'torsion': [2]}
  • id: 7572724
    {'degree': 6, 'field': [14, 0, 53, 0, -4, 0, 1], 'lmfdb_label': '170352.m2', 'torsion': [2, 2]}
  • id: 7572726
    {'degree': 6, 'field': [376, 208, 196, -52, -35, 0, 1], 'lmfdb_label': '170352.m2', 'torsion': [6]}
  • id: 7572725
    {'degree': 6, 'field': [729, 0, 3667, 0, -121, 0, 1], 'lmfdb_label': '170352.m2', 'torsion': [3]}
  • id: 7572727
    {'degree': 12, 'field': [-10206, 0, -48843, 0, -21951, 0, -2214, 0, 540, 0, -15, 0, 1], 'lmfdb_label': '170352.m2', 'torsion': [4]}
  • id: 7572729
    {'degree': 12, 'field': [26896, 0, 416, 0, -2664, 0, 0, 0, 329, 0, -26, 0, 1], 'lmfdb_label': '170352.m2', 'torsion': [2, 6]}
  • id: 7572728
    {'degree': 12, 'field': [889292041, 25347850, 361250, -601518, 599823, -176392, -5068, 3356, -805, -34, 18, -6, 1], 'lmfdb_label': '170352.m2', 'torsion': [3, 3]}
  • id: 7572731
    {'degree': 18, 'field': [64, 0, -1808, 0, 14924, 0, 9465, 0, -13462, 0, 5671, 0, -876, 0, 163, 0, -10, 0, 1], 'lmfdb_label': '170352.m2', 'torsion': [6]}
  • id: 7572730
    {'degree': 18, 'field': [37909, -131076, 129006, -556, -151437, 76758, 122514, -54732, -75378, 20442, 28023, -4368, -5911, 534, 705, -32, -45, 0, 1], 'lmfdb_label': '170352.m2', 'torsion': [9]}
• 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: 4214682
    {'conductor': 170352, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '170352.m2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4214683
    {'conductor': 170352, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '170352.m2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4214684
    {'conductor': 170352, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '170352.m2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4214685
    {'conductor': 170352, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '170352.m2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2763272
    {'adelic_gens': [[165, 166, 158, 161], [4, 3, 9, 7], [163, 6, 162, 7], [1, 6, 0, 1], [1, 0, 6, 1], [3, 4, 8, 11], [85, 6, 87, 19], [90, 71, 119, 69], [73, 6, 51, 19], [41, 162, 0, 167]], 'adelic_image': '168.16.0.?', 'conductor': 170352, 'lmfdb_label': '170352.m2', 'prime': 0}
  • id: 643433
    {'conductor': 170352, 'elladic_image': '3.4.0.1', 'lmfdb_label': '170352.m2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 170352.m does not appear in ec_padic