Elliptic curve data - 10890.j2

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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': '10890j', 'Clabel': '10890j2', 'Cnumber': 2, 'abc_quality': 1.0079129044172854, 'absD': 253754790967678027500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [1, -1, 0, -1260540, 940596300], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10890, 'degree': 337920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6095052090976668523693909384', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [-128864147651, 147622500], 'lmfdb_iso': '10890.j', 'lmfdb_label': '10890.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1158, 26068], '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': '0.26177761016483409862531063647', 'prec': 103}, 'szpiro_ratio': 5.900267144017121, '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, 0, -2, 0, 1, -2, 0, 2, -1], 'aplist': [-1, 0, -1, 2, 0, 0, -2, 2, 0, -6, 0, -6, 6, 2, 4, -2, 8, 0, 4, -12, 16, -2, -8, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 10890, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10890.j', 'trace_hash': 658667542289148617}
• 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': '0.0054126827694532936183253388709', 'prec': 110}, 'conductor': 10890, 'gens': [], 'heights': [], 'lmfdb_label': '10890.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15870582240427645489235223475', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2696465792342116391388178780012022936', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-5565, 5565, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': 'a', '5': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '10890.j2'}
• ec_torsion_growth •

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

  
  
  • id: 564219
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '10890.j2', 'torsion': [2, 2]}
  • id: 564220
    {'degree': 4, 'field': [-44, 0, -11, 0, 1], 'lmfdb_label': '10890.j2', 'torsion': [4]}
  • id: 564223
    {'degree': 8, 'field': [-9632, -9098, -2399, 250, 307, 166, -5, -2, 1], 'lmfdb_label': '10890.j2', 'torsion': [6]}
  • id: 564221
    {'degree': 8, 'field': [276, -240, 454, -176, 45, -22, 3, -2, 1], 'lmfdb_label': '10890.j2', 'torsion': [2, 4]}
  • id: 564222
    {'degree': 8, 'field': [1089, 0, -363, 0, 88, 0, -11, 0, 1], 'lmfdb_label': '10890.j2', 'torsion': [2, 4]}
  • id: 564224
    {'degree': 16, 'field': [34596, 0, 170172, 0, 108177, 0, -60258, 0, 18448, 0, -6424, 0, 828, 0, -46, 0, 1], 'lmfdb_label': '10890.j2', 'torsion': [8]}
  • id: 564225
    {'degree': 16, 'field': [36864, 0, 1208576, 0, -462224, 0, 108699, 0, 36110, 0, 3331, 0, 129, 0, 14, 0, 1], 'lmfdb_label': '10890.j2', '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: 232611
    {'conductor': 10890, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10890.j2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 232612
    {'conductor': 10890, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '10890.j2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 232613
    {'conductor': 10890, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10890.j2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 232614
    {'conductor': 10890, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '10890.j2', '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: 1736228
    {'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.j2', 'prime': 0}
  • id: 52475
    {'conductor': 10890, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10890.j2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 10890.j does not appear in ec_padic