Elliptic curve data - 10890.cc2

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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': '10890bx', 'Clabel': '10890bx2', 'Cnumber': 2, 'abc_quality': 1.1123426519968111, 'absD': 1315464836376442894560000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [1, -1, 1, 2710498, 55154624429], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10890, 'degree': 1892352, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3070756288970496541094403998', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2], 'jinv': [1281177907381, 765275040000], 'lmfdb_iso': '10890.cc', 'lmfdb_label': '10890.cc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 2489, 1534985], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.f.1', '22.6.0.a.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 8, 1210], [5, 6, 2178], [11, 42, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95934802996421690036536009786', 'prec': 103}, 'szpiro_ratio': 6.77632229313132, '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, 2, 1, 0, 1, 0, 0, 4, 2, 0, 1, -6, 0, -2, 1], 'aplist': [1, 0, 1, 2, 0, 4, -6, -2, -4, -2, -8, 10, 2, 6, 8, 10, 0, 12, -4, 8, 8, 6, 8, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 10890, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10890.cc', 'trace_hash': 1128924050729800660}
• 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': '0.0013412526908523380121684164729', 'prec': 110}, 'conductor': 10890, 'gens': [], 'heights': [], 'lmfdb_label': '10890.cc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.066868848763856233048377619671', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2796063208867989150961676589132818943', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-14277, 14273, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': 'a', '5': [1, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '10890.cc2'}
• ec_torsion_growth •

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

  
  
  • id: 565153
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '10890.cc2', 'torsion': [2, 2]}
  • id: 565154
    {'degree': 4, 'field': [-44, 0, -11, 0, 1], 'lmfdb_label': '10890.cc2', 'torsion': [4]}
  • id: 565157
    {'degree': 8, 'field': [-2076, 2028, 192, -384, -114, 102, 1, -2, 1], 'lmfdb_label': '10890.cc2', 'torsion': [6]}
  • id: 565155
    {'degree': 8, 'field': [144, 0, -84, 0, -5, 0, 4, 0, 1], 'lmfdb_label': '10890.cc2', 'torsion': [2, 4]}
  • id: 565156
    {'degree': 8, 'field': [1089, 0, -363, 0, 88, 0, -11, 0, 1], 'lmfdb_label': '10890.cc2', 'torsion': [2, 4]}
  • id: 565159
    {'degree': 16, 'field': [891, -1452, 4488, 3234, 17121, -32724, 49518, 90884, 50018, 14794, 9608, 3016, 41, -86, -22, -2, 1], 'lmfdb_label': '10890.cc2', 'torsion': [2, 6]}
  • id: 565158
    {'degree': 16, 'field': [20736, 0, -13824, 0, -112752, 0, -110976, 0, -20552, 0, 9248, 0, -783, 0, 8, 0, 1], 'lmfdb_label': '10890.cc2', '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: 232959
    {'conductor': 10890, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '10890.cc2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 232960
    {'conductor': 10890, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '10890.cc2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 232961
    {'conductor': 10890, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10890.cc2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 232962
    {'conductor': 10890, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '10890.cc2', 'prime': 11, '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: 1736209
    {'adelic_gens': [[89, 4, 46, 9], [1, 2, 2, 5], [3, 4, 8, 11], [52, 1, 119, 0], [101, 34, 32, 99], [1, 4, 0, 1], [1, 0, 4, 1], [129, 4, 128, 5]], 'adelic_image': '132.12.0.?', 'conductor': 10890, 'lmfdb_label': '10890.cc2', 'prime': 0}
  • id: 52450
    {'conductor': 10890, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10890.cc2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 10890.cc does not appear in ec_padic