Elliptic curve data - 58835.j2

Formats: - HTML - YAML - JSON - 2024-05-13T09:04:01.451870

• 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': '58835e', 'Clabel': '58835e1', 'Cnumber': 1, 'abc_quality': 0.8800270006853078, 'absD': 84428225, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 820, 'ainvs': [1, -1, 0, -110, -25], 'analytic_rank': 0, 'bad_primes': [5, 7, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 58835, 'degree': 10240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21073528079165930313482060859', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [2146689, 1225], 'lmfdb_iso': '58835.j', 'lmfdb_label': '58835.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -110, -25], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.d.1', '82.6.0.?', '820.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71765773588441764783187023467', 'prec': 107}, 'szpiro_ratio': 2.3419232134894084, '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, -1, 0, 1, -3, -3, -1, 2, 0, 2, 1, 0, -1, 2, -3, 2, 1], 'aplist': [1, 0, -1, 1, 2, 2, 2, 2, 4, 8, 0, 2, 0, 8, 4, 6, 12, -2, 4, 10, -10, 2, 4, 16, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 58835, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '58835.j', 'trace_hash': 965068807446460429}
• 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': '0.65608130210402049302447059649', 'prec': 103}, 'conductor': 58835, 'gens': [], 'heights': [], 'lmfdb_label': '58835.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.5948553562138639662230130695', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1897107124277279324460261389495095294', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-10, 5, 1]], 'xcoord_integral_points': [-10]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '5': [0, 0], '7': [1, 0], '41': 'a'}, 'iwp0': 3, 'lmfdb_label': '58835.j2'}
• ec_torsion_growth •

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

  
  
  • id: 2830551
    {'degree': 2, 'field': [-10, -1, 1], 'lmfdb_label': '58835.j2', 'torsion': [2, 2]}
  • id: 2830552
    {'degree': 4, 'field': [324, -18, -15, -1, 1], 'lmfdb_label': '58835.j2', 'torsion': [4]}
  • id: 2830555
    {'degree': 8, 'field': [-329357, 6665, -8648, 3965, -1979, -7, 7, -4, 1], 'lmfdb_label': '58835.j2', 'torsion': [6]}
  • id: 2830553
    {'degree': 8, 'field': [4096, 0, 576, 0, 97, 0, 9, 0, 1], 'lmfdb_label': '58835.j2', 'torsion': [2, 4]}
  • id: 2830554
    {'degree': 8, 'field': [381214, 193398, 29409, 3958, -558, -274, -28, -2, 1], 'lmfdb_label': '58835.j2', 'torsion': [2, 4]}
  • id: 2830557
    {'degree': 16, 'field': [-38799575, -99073856, -193679203, -98319921, -46981951, -19988674, -4812515, -1746921, -338762, -54465, -28685, -4829, -1846, -357, -16, -4, 1], 'lmfdb_label': '58835.j2', 'torsion': [2, 6]}
  • id: 2830556
    {'degree': 16, 'field': [6163900, -5131100, 4695750, -1529100, 1145505, 61940, 137250, 34660, 19706, -2268, -42, 164, 30, -16, 28, -8, 1], 'lmfdb_label': '58835.j2', '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: 1416809
    {'conductor': 58835, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '58835.j2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1416810
    {'conductor': 58835, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '58835.j2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1416811
    {'conductor': 58835, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '58835.j2', 'prime': 41, '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: 2054579
    {'adelic_gens': [[1, 0, 4, 1], [617, 206, 204, 615], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [657, 4, 494, 9], [24, 1, 199, 0], [817, 4, 816, 5]], 'adelic_image': '820.12.0.?', 'conductor': 58835, 'lmfdb_label': '58835.j2', 'prime': 0}
  • id: 249272
    {'conductor': 58835, 'elladic_image': '2.3.0.1', 'lmfdb_label': '58835.j2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 58835.j does not appear in ec_padic