Elliptic curve data - 102.c5

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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
  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': '102b', 'Clabel': '102b1', 'Cnumber': 1, 'abc_quality': 1.051915192059638, 'absD': 352512, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [1, 0, 0, -34, 68], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 102, 'degree': 16, 'elladic_images': ['16.96.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.19264248519844570988802112550', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4354703137, 352512], 'lmfdb_iso': '102.c', 'lmfdb_label': '102.c5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, 68], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.1.1', '16.96.0-16.bb.1.1', '34.6.0.a.1', '68.24.0-68.g.1.2', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 17], [3, 4, 34], [17, 18, 6]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19264248519844570988802112550', 'prec': 107}, 'szpiro_ratio': 4.7988438364788335, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [8]}
• 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, 1, 1, 1, -2, 1, 0, 1, 1, -2, -4, 1, -2, 0, -2, 1, 1, 1, 4, -2], 'aplist': [1, 1, -2, 0, -4, -2, 1, 4, 0, -10, 8, -2, 10, 12, 0, 6, 12, -10, -12, 0, 10, -8, 4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 102, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '102.c', 'trace_hash': 2057986112349787613}
• 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': '1.4700331776955846891214543730', 'prec': 100}, 'conductor': 102, 'gens': [], 'heights': [], 'lmfdb_label': '102.c5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.9593558555889564231619450877', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4796779277944782115809725438385371926', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2, 2, 1]], 'xcoord_integral_points': [-4, 2, 4, 8]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '102.c5'}
• ec_torsion_growth •

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

  
  
  • id: 3765
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '102.c5', 'torsion': [2, 8]}
  • id: 3766
    {'degree': 4, 'field': [6, 0, 7, -2, 1], 'lmfdb_label': '102.c5', 'torsion': [16]}
  • id: 3768
    {'degree': 8, 'field': [-288, 576, 48, -576, 178, 104, -37, -2, 1], 'lmfdb_label': '102.c5', 'torsion': [2, 16]}
  • id: 3770
    {'degree': 8, 'field': [-24, -12, 30, -37, 22, -7, 7, -4, 1], 'lmfdb_label': '102.c5', 'torsion': [24]}
  • id: 3767
    {'degree': 8, 'field': [16, 8, 2, -22, 17, -10, 8, -4, 1], 'lmfdb_label': '102.c5', 'torsion': [4, 8]}
  • id: 3769
    {'degree': 8, 'field': [64, 64, -40, 24, 50, -36, 11, -2, 1], 'lmfdb_label': '102.c5', 'torsion': [2, 16]}
  • id: 3771
    {'degree': 16, 'field': [256, 0, -64, 0, 432, 0, 772, 0, 440, 0, 193, 0, 27, 0, -1, 0, 1], 'lmfdb_label': '102.c5', 'torsion': [4, 16]}
  • id: 3773
    {'degree': 16, 'field': [256, 256, -448, 1360, 1872, -2204, -1296, 412, -764, 528, 76, -53, -28, 21, -1, -4, 1], 'lmfdb_label': '102.c5', 'torsion': [2, 24]}
  • id: 3772
    {'degree': 16, 'field': [10386, -128376, 372564, 487512, -562329, -73188, 305010, -223908, 105409, -28720, 3280, 32, -131, 92, -14, -4, 1], 'lmfdb_label': '102.c5', 'torsion': [32]}
• 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: 634
    {'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '102.c5', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 635
    {'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '102.c5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 636
    {'conductor': 102, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '102.c5', '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

  
  
  • id: 1666185
    {'adelic_gens': [[257, 16, 256, 17], [1, 16, 0, 1], [5, 4, 268, 269], [24, 1, 271, 10], [15, 2, 174, 259], [1, 0, 16, 1], [1, 16, 68, 69], [113, 16, 234, 223]], 'adelic_image': '272.192.1.?', 'conductor': 102, 'lmfdb_label': '102.c5', 'prime': 0}
  • id: 372
    {'conductor': 102, 'elladic_image': '16.96.0.97', 'lmfdb_label': '102.c5', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 102.c does not appear in ec_padic