Elliptic curve data - 18032.t2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '18032e', 'Clabel': '18032e1', 'Cnumber': 1, 'abc_quality': 0.918589473035692, 'absD': 950408152064, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1288, 'ainvs': [0, -1, 0, -128984, 17873024], 'analytic_rank': 0, 'bad_primes': [2, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 18032, 'degree': 46080, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5097443680669961161198616817', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [1969910093092, 7889], 'lmfdb_iso': '18032.t', 'lmfdb_label': '18032.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2632, 52860], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '322.6.0.?', '1288.12.0.?'], '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, 'serre_invariants': [[2, 2, 1127], [7, 32, 368], [23, 24, 784]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.040833356927281627613841457904', 'prec': 110}, 'szpiro_ratio': 4.78738826173912, '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, 0, 2, 0, -2, 0, 0, 0, 1, 0, -2, 0, -4, 0, -4, 0, 2, 0, 0, 0], 'aplist': [0, 2, -2, 0, -2, -4, 2, 0, -1, -2, 0, -4, -6, -2, 4, 0, 2, 10, -2, 8, 6, 0, 0, -10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 18032, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '18032.t', 'trace_hash': 2054030058798883892}
• 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': '0.048826175040759020786023237410', 'prec': 107}, 'conductor': 18032, 'gens': [], 'heights': [], 'lmfdb_label': '18032.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.77525982146762093557927516153', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5505196429352418711585503230566666473', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[208, 0, 1]], 'xcoord_integral_points': [208]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '7': 'a', '23': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '18032.t2'}
• ec_torsion_growth •

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

  
  
  • id: 921715
    {'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '18032.t2', 'torsion': [2, 2]}
  • id: 921716
    {'degree': 4, 'field': [34, -4, -14, 0, 1], 'lmfdb_label': '18032.t2', 'torsion': [4]}
  • id: 921719
    {'degree': 8, 'field': [-2103, -870, -1900, 490, 214, 30, -28, -2, 1], 'lmfdb_label': '18032.t2', 'torsion': [6]}
  • id: 921718
    {'degree': 8, 'field': [400, 0, -608, 0, 249, 0, -34, 0, 1], 'lmfdb_label': '18032.t2', 'torsion': [2, 4]}
  • id: 921717
    {'degree': 8, 'field': [102400, 0, 16796, 0, 817, 0, 26, 0, 1], 'lmfdb_label': '18032.t2', 'torsion': [2, 4]}
  • id: 921720
    {'degree': 16, 'field': [-1058743, -79875488, -173587008, -277914672, -74886448, 48136872, 16921436, -3100104, -1156301, 15112, -6420, 3904, 3352, -64, -108, 0, 1], 'lmfdb_label': '18032.t2', 'torsion': [8]}
  • id: 921721
    {'degree': 16, 'field': [4284602, 2159472, -2832994, 6088752, -4444282, 3543434, -1861600, 886266, -341695, 98252, -27714, 1454, -798, -162, 18, -4, 1], 'lmfdb_label': '18032.t2', '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: 404101
    {'conductor': 18032, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '18032.t2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 404102
    {'conductor': 18032, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '18032.t2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 404103
    {'conductor': 18032, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18032.t2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1784224
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [370, 1, 1103, 0], [1285, 4, 1284, 5], [1129, 162, 160, 1127], [645, 4, 2, 9], [562, 1, 1007, 0]], 'adelic_image': '1288.12.0.?', 'conductor': 18032, 'lmfdb_label': '18032.t2', 'prime': 0}
  • id: 84310
    {'conductor': 18032, 'elladic_image': '8.6.0.1', 'lmfdb_label': '18032.t2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 18032.t does not appear in ec_padic