Elliptic curve data - 35550.bc2

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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': '35550bi', 'Clabel': '35550bi1', 'Cnumber': 1, 'abc_quality': 1.1175613834192604, 'absD': 353384792064000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4740, 'ainvs': [1, -1, 1, -1617920, -791702493], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 35550, 'degree': 473088, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1006449191818955858642732465', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [-138778060627787972607, 104706605056], 'lmfdb_iso': '35550.bc', 'lmfdb_label': '35550.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -14561277, 21390528581], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '316.6.0.?', '4740.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 6, 1975], [79, 80, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4236323689063430693652721040', 'prec': 100}, 'szpiro_ratio': 5.201368804807809, '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, 0, 0, -4, 1, 0, 0, 2, 0, 0, -4, 0, 1, 6, 0, 4, 0], 'aplist': [1, 0, 0, -4, 2, 0, 6, 4, 0, -2, -8, -2, -6, 4, 0, 10, 0, 10, 2, 8, -4, 1, -4, -12, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 35550, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '35550.bc', 'trace_hash': 2123076471142197254}
• 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': '0.014976247418789232903171228341', 'prec': 107}, 'conductor': 35550, 'gens': [], 'heights': [], 'lmfdb_label': '35550.bc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.066931460138371905318247275617', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2127100866418514552758692296279216415', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[1469, -735, 1]], 'xcoord_integral_points': [1469]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': 'a', '79': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '35550.bc2'}
• ec_torsion_growth •

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

  
  
  • id: 1766082
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '35550.bc2', 'torsion': [2, 2]}
  • id: 1766083
    {'degree': 4, 'field': [-240, 0, 15, 0, 1], 'lmfdb_label': '35550.bc2', 'torsion': [4]}
  • id: 1766086
    {'degree': 8, 'field': [-2304, -14688, -7344, -744, 564, 78, -31, -1, 1], 'lmfdb_label': '35550.bc2', 'torsion': [6]}
  • id: 1766085
    {'degree': 8, 'field': [256, 0, 496, 0, -24, 0, 31, 0, 1], 'lmfdb_label': '35550.bc2', 'torsion': [2, 4]}
  • id: 1766084
    {'degree': 8, 'field': [4096, -512, 416, 784, 244, 32, -16, -4, 1], 'lmfdb_label': '35550.bc2', 'torsion': [2, 4]}
  • id: 1766087
    {'degree': 16, 'field': [-3075584, 13942848, -20454992, 13225552, -7092812, 507768, -44516, -129984, 64033, -25432, 9856, -3080, 938, -224, 52, -8, 1], 'lmfdb_label': '35550.bc2', 'torsion': [8]}
  • id: 1766088
    {'degree': 16, 'field': [11486016, -7740792, 8919180, -2389770, 1273365, -88416, 36562, -40520, 55680, -34510, 11522, -3144, 1070, -280, 60, -8, 1], 'lmfdb_label': '35550.bc2', 'torsion': [2, 6]}
• 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: 837358
    {'conductor': 35550, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '35550.bc2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 24}
  • id: 837359
    {'conductor': 35550, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '35550.bc2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 837360
    {'conductor': 35550, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '35550.bc2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 837361
    {'conductor': 35550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35550.bc2', 'prime': 79, '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: 1901844
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2848, 1, 2843, 0], [3164, 1, 1579, 0], [1741, 4, 3482, 9], [3557, 1186, 1184, 3555], [4737, 4, 4736, 5]], 'adelic_image': '4740.12.0.?', 'conductor': 35550, 'lmfdb_label': '35550.bc2', 'prime': 0}
  • id: 158042
    {'conductor': 35550, 'elladic_image': '2.3.0.1', 'lmfdb_label': '35550.bc2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 35550.bc does not appear in ec_padic