Elliptic curve data - 8190.r2

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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': '8190t', 'Clabel': '8190t2', 'Cnumber': 2, 'abc_quality': 1.1023763256232109, 'absD': 36018784455958886400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3640, 'ainvs': [1, -1, 0, 340041, -278566435], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8190, 'degree': 337920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4339327009303596152071291637', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [5964709808210123151, 49408483478681600], 'lmfdb_iso': '8190.r', 'lmfdb_label': '8190.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 37782, 10304681], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '260.6.0.?', '3640.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '1.8846265565963047695095065452', 'prec': 100}, 'szpiro_ratio': 5.816756596474393, '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, -1, 0, -1, 6, 0, 1, 1, 0, 1, 8, 0, 0, 1], 'aplist': [-1, 0, 1, -1, 6, 1, 8, 0, 0, -6, -2, 10, 8, -6, -8, 12, 8, 6, 8, -4, 2, -8, 12, 0, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 8190, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8190.r', 'trace_hash': 791927802130803132}
• 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': '0.0076897623334864501306849217949', 'prec': 110}, 'conductor': 8190, 'gens': [], 'heights': [], 'lmfdb_label': '8190.r2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10214473801749992367765821778', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0428947603499984735531643556832231105', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[1939, -1939, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1], '3': 'a', '5': [3, 0], '7': [0, 0], '13': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '8190.r2'}
• ec_torsion_growth •

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

  
  
  • id: 427986
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '8190.r2', 'torsion': [2, 2]}
  • id: 427987
    {'degree': 4, 'field': [-504, 0, -18, 0, 1], 'lmfdb_label': '8190.r2', 'torsion': [4]}
  • id: 427990
    {'degree': 8, 'field': [-80, -175, 610, -901, 529, -97, 37, -4, 1], 'lmfdb_label': '8190.r2', 'torsion': [6]}
  • id: 427989
    {'degree': 8, 'field': [22750, 63700, 37990, -9440, 2199, 32, -62, -4, 1], 'lmfdb_label': '8190.r2', 'torsion': [2, 4]}
  • id: 427988
    {'degree': 8, 'field': [103684, 0, 29008, 0, 4410, 0, 112, 0, 1], 'lmfdb_label': '8190.r2', 'torsion': [2, 4]}
  • id: 427991
    {'degree': 16, 'field': [-5512509560, 23030626440, -27175746460, 9713082200, -7342702044, 2747525320, -523865108, 86720696, -11663826, -2605826, 1494659, -236078, 6997, 2098, -211, -2, 1], 'lmfdb_label': '8190.r2', 'torsion': [8]}
  • id: 427992
    {'degree': 16, 'field': [1292340030, 398474160, -414199995, 2380044, 76551984, -107820666, 61231107, -23862468, 8780125, -2008082, 535867, -76436, 15439, -1274, 202, -8, 1], 'lmfdb_label': '8190.r2', '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: 169949
    {'conductor': 8190, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '8190.r2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 169950
    {'conductor': 8190, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '8190.r2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 169951
    {'conductor': 8190, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8190.r2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 169952
    {'conductor': 8190, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8190.r2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 169953
    {'conductor': 8190, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '8190.r2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1718142
    {'adelic_gens': [[1457, 4, 2914, 9], [561, 4, 1122, 9], [1, 2, 2, 5], [1042, 1, 3119, 0], [1, 4, 0, 1], [457, 3186, 3184, 455], [2, 1, 1819, 0], [3637, 4, 3636, 5], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '3640.12.0.?', 'conductor': 8190, 'lmfdb_label': '8190.r2', 'prime': 0}
  • id: 40225
    {'conductor': 8190, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8190.r2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 8190.r does not appear in ec_padic