Elliptic curve data - 208.c1

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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': '208c', 'Clabel': '208c2', 'Cnumber': 2, 'abc_quality': 1.2727904629543532, 'absD': 208, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 104, 'ainvs': [0, 0, 0, -4, 3], 'analytic_rank': 0, 'bad_primes': [2, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 208, 'degree': 24, 'elladic_images': ['8.12.0.22'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.77787300645782210156375612217', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [442368, 13], 'lmfdb_iso': '208.c', 'lmfdb_label': '208.c1', 'lmfdb_number': 1, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 0, 0, -4, -3], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.2', '26.6.0.b.1', '52.24.0.e.1', '104.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 13], [13, 14, 16]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0089220666444705380361668293', 'prec': 97}, 'szpiro_ratio': 2.955011445457632, '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, 2, 0, 2, 0, -3, 0, 2, 0, -1, 0, 0, 0, 6, 0, 6, 0], 'aplist': [0, 0, 2, 2, 2, -1, 6, 6, -8, 2, -10, -6, -6, -4, 2, 6, 10, -2, -10, -10, 2, 4, 6, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 208, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '208.c', 'trace_hash': 1872999260973817381}
• 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': '4.7386202788129302130394064105', 'prec': 97}, 'conductor': 208, 'gens': [], 'heights': [], 'lmfdb_label': '208.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '5.6046296725438004009031008635', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4011574181359501002257752158711460140', 'prec': 127}, 'tamagawa_product': 1, 'torsion_generators': [[1, 0, 1]], 'xcoord_integral_points': [1]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '208.c1'}
• ec_torsion_growth •

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

  
  
  • id: 8498
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '208.c1', 'torsion': [2, 2]}
  • id: 8499
    {'degree': 4, 'field': [5, -2, 0, -2, 1], 'lmfdb_label': '208.c1', 'torsion': [4]}
  • id: 8500
    {'degree': 8, 'field': [-23, -134, -254, -146, 39, 38, -8, -4, 1], 'lmfdb_label': '208.c1', 'torsion': [2, 4]}
  • id: 8502
    {'degree': 8, 'field': [-3, 0, -12, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '208.c1', 'torsion': [6]}
  • id: 8501
    {'degree': 8, 'field': [9, -6, 2, -10, 7, -6, 8, -4, 1], 'lmfdb_label': '208.c1', 'torsion': [2, 4]}
  • id: 8503
    {'degree': 16, 'field': [9, -78, 332, -898, 1679, -2216, 2026, -1136, 156, 342, -306, 88, 46, -56, 28, -8, 1], 'lmfdb_label': '208.c1', 'torsion': [4, 4]}
  • id: 8505
    {'degree': 16, 'field': [9, 0, 1800, 0, -1530, 0, 144, 0, -321, 0, 336, 0, -66, 0, 0, 0, 1], 'lmfdb_label': '208.c1', 'torsion': [2, 6]}
  • id: 8504
    {'degree': 16, 'field': [25, 0, 168, 0, 576, 0, -816, 0, 714, 0, -376, 0, 112, 0, -16, 0, 1], 'lmfdb_label': '208.c1', '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: 1738
    {'conductor': 208, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '208.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1739
    {'conductor': 208, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '208.c1', 'prime': 13, '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: 1666636
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [5, 8, 48, 77], [71, 98, 6, 5], [16, 3, 101, 2], [97, 8, 96, 9], [1, 4, 4, 17], [53, 8, 0, 1], [3, 8, 28, 75]], 'adelic_image': '104.48.0.?', 'conductor': 208, 'lmfdb_label': '208.c1', 'prime': 0}
  • id: 853
    {'conductor': 208, 'elladic_image': '8.12.0.22', 'lmfdb_label': '208.c1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 208.c does not appear in ec_padic