Elliptic curve data - 833.a4

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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': '833a', 'Clabel': '833a4', 'Cnumber': 4, 'abc_quality': 1.1807067659885138, 'absD': 9826162129, 'adelic_genus': 53, 'adelic_index': 1536, 'adelic_level': 7616, 'ainvs': [1, -1, 1, -34, 4778], 'analytic_rank': 0, 'bad_primes': [7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 833, 'degree': 288, 'elladic_images': ['16.48.0.76'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59631895358631317159524336749', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [-35937, 83521], 'lmfdb_iso': '833.a', 'lmfdb_label': '833.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -1, -14], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0.t.1', '16.48.0.m.2', '28.24.0-4.d.1.1', '56.48.0-8.t.1.1', '112.96.0.?', '136.48.1.?', '272.192.9.?', '544.384.21.?', '952.96.1.?', '1088.768.53.?', '1904.384.9.?', '3808.768.21.?', '7616.1536.53.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37663612094134348095743300423', 'prec': 107}, 'szpiro_ratio': 4.529833575800162, '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, -1, 0, -1, 2, 0, 0, 3, -3, -2, 0, 0, 2, 0, 0, -1, -1, 3, 4, -2], 'aplist': [-1, 0, 2, 0, 0, 2, -1, 4, 4, 6, -4, -2, 6, 4, 0, 6, 12, 10, 4, -4, 6, 12, 4, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 833, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '833.a', 'trace_hash': 494906137120551101}
• 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': '0.30341981415214044007938829565', 'prec': 103}, 'conductor': 833, 'gens': [], 'heights': [], 'lmfdb_label': '833.a4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0377918387896140720646170687', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0377918387896140720646170687115878042', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-69, 65, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '7': 'a', '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '833.a4'}
• ec_torsion_growth •

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

  
  
  • id: 39112
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '833.a4', 'torsion': [4]}
  • id: 39111
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '833.a4', 'torsion': [2, 2]}
  • id: 39113
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '833.a4', 'torsion': [4]}
  • id: 39114
    {'degree': 4, 'field': [4, 0, -3, 0, 1], 'lmfdb_label': '833.a4', 'torsion': [2, 4]}
  • id: 39118
    {'degree': 8, 'field': [-3, -165, 147, -66, 15, -9, 3, 0, 1], 'lmfdb_label': '833.a4', 'torsion': [6]}
  • id: 39117
    {'degree': 8, 'field': [16, -8, 32, 18, 11, 9, 8, -1, 1], 'lmfdb_label': '833.a4', 'torsion': [8]}
  • id: 39115
    {'degree': 8, 'field': [16, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '833.a4', 'torsion': [4, 4]}
  • id: 39116
    {'degree': 8, 'field': [1296, 0, 288, 0, -175, 0, -8, 0, 1], 'lmfdb_label': '833.a4', 'torsion': [8]}
  • id: 39122
    {'degree': 16, 'field': [1, 0, -1508, 0, 1552, 0, -677, 0, 508, 0, -311, 0, 85, 0, -14, 0, 1], 'lmfdb_label': '833.a4', 'torsion': [12]}
  • id: 39121
    {'degree': 16, 'field': [9, 0, 28107, 0, -261, 0, 2934, 0, -87, 0, -303, 0, 39, 0, -6, 0, 1], 'lmfdb_label': '833.a4', 'torsion': [2, 6]}
  • id: 39123
    {'degree': 16, 'field': [256, -512, 1280, -864, 704, 536, -260, -72, 457, -384, 100, -47, 32, -21, 11, -4, 1], 'lmfdb_label': '833.a4', 'torsion': [12]}
  • id: 39120
    {'degree': 16, 'field': [256, 0, -960, 0, 1664, 0, -780, 0, 325, 0, -195, 0, 104, 0, -15, 0, 1], 'lmfdb_label': '833.a4', 'torsion': [2, 8]}
  • id: 39119
    {'degree': 16, 'field': [1600, 3520, 944, -6160, -3606, 6956, 826, -5852, 6417, -5004, 2950, -1396, 536, -168, 44, -8, 1], 'lmfdb_label': '833.a4', '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: 10780
    {'conductor': 833, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '833.a4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10781
    {'conductor': 833, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '833.a4', 'prime': 17, 'reduction_type': -1, '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: 1669846
    {'adelic_gens': [[1, 64, 0, 1], [4351, 0, 0, 7615], [57, 16, 1264, 5833], [2367, 4830, 3150, 3543], [3438, 5215, 1827, 498], [2689, 3276, 0, 1], [1, 0, 64, 1], [9, 124, 6196, 745], [7553, 64, 7552, 65]], 'adelic_image': '7616.1536.53.?', 'conductor': 833, 'lmfdb_label': '833.a4', 'prime': 0}
  • id: 3825
    {'conductor': 833, 'elladic_image': '16.48.0.76', 'lmfdb_label': '833.a4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 833.a does not appear in ec_padic