Elliptic curve data - 133560.t3

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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': '133560k', 'Clabel': '133560k1', 'Cnumber': 1, 'abc_quality': 0.9483744334805086, 'absD': 1622754000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 44520, 'ainvs': [0, 0, 0, -417378, 103786877], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 133560, 'degree': 503808, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5966759298452851797133387152', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [689389813834848256, 139125], 'lmfdb_iso': '133560.t', 'lmfdb_label': '133560.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -46375, -3828500], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '24.12.0-4.c.1.3', '120.24.0.?', '2968.12.0.?', '4452.12.0.?', '8904.24.0.?', '11130.6.0.?', '14840.24.0.?', '22260.24.0.?', '44520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 16695], [3, 8, 2968], [5, 6, 26712], [7, 8, 19080], [53, 54, 2520]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81632072532458189754330538959', 'prec': 103}, 'szpiro_ratio': 4.27364324613832, '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, 0, 0, -1, 0, 1, 0, 0, 0, 4, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, 1, 4, 2, -2, -4, 4, 2, 8, 6, -2, 4, -4, -1, -4, 14, 12, 0, 2, 12, 12, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 133560, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '133560.t', 'trace_hash': 969615109303196058}
• 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': '0.041034099628520823789289249000', 'prec': 107}, 'conductor': 133560, 'gens': [], 'heights': [], 'lmfdb_label': '133560.t3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.87385169631479640301933209303', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4954067852591856120773283721072828312', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[373, 0, 1]], 'xcoord_integral_points': [373]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [1, 0], '53': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '133560.t3'}
• ec_torsion_growth •

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

  
  
  • id: 6055603
    {'degree': 2, 'field': [-1391, -1, 1], 'lmfdb_label': '133560.t3', 'torsion': [2, 2]}
  • id: 6055605
    {'degree': 2, 'field': [-278, -1, 1], 'lmfdb_label': '133560.t3', 'torsion': [4]}
  • id: 6055604
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '133560.t3', 'torsion': [4]}
  • id: 6055606
    {'degree': 4, 'field': [76729, 0, -559, 0, 1], 'lmfdb_label': '133560.t3', 'torsion': [2, 4]}
  • id: 6055610
    {'degree': 8, 'field': [-10800, 0, -18192, 0, -360, 0, 0, 0, 1], 'lmfdb_label': '133560.t3', 'torsion': [6]}
  • id: 6055608
    {'degree': 8, 'field': [1833316, -200392, -400904, 16424, 25324, 452, -296, -4, 1], 'lmfdb_label': '133560.t3', 'torsion': [8]}
  • id: 6055607
    {'degree': 8, 'field': [2506003600, 0, 3005600, 0, -100020, 0, 20, 0, 1], 'lmfdb_label': '133560.t3', 'torsion': [2, 4]}
  • id: 6055609
    {'degree': 8, 'field': [19355765625, 0, -103230750, 0, 411439, 0, -742, 0, 1], 'lmfdb_label': '133560.t3', 'torsion': [8]}
  • id: 6055613
    {'degree': 16, 'field': [-277363904, 836873792, 891098816, -2939245152, 230880056, 1340243776, -209484896, -190529076, 31864597, 10076724, -1585016, -228724, 33146, 2268, -304, -8, 1], 'lmfdb_label': '133560.t3', 'torsion': [2, 8]}
  • id: 6055616
    {'degree': 16, 'field': [108305649, 0, 527361888, 0, 222711820, 0, -43235328, 0, 50646, 0, -319072, 0, 1068, 0, 0, 0, 1], 'lmfdb_label': '133560.t3', 'torsion': [12]}
  • id: 6055615
    {'degree': 16, 'field': [1083165049, 236504456, 94882916, -674737248, 366762434, -33798392, 8690512, 2447160, -916085, 210600, -49952, 4376, -790, 0, 20, -8, 1], 'lmfdb_label': '133560.t3', 'torsion': [12]}
  • id: 6055612
    {'degree': 16, 'field': [302313455116, -304378728636, 81429898130, 148256680498, 56755391573, 76997314062, 19395601796, -37274047218, 19412051200, -513397974, 208277962, -2496862, 838872, -5218, 1498, -4, 1], 'lmfdb_label': '133560.t3', 'torsion': [2, 8]}
  • id: 6055614
    {'degree': 16, 'field': [186967200224025, 0, 111009745409280, 0, 13443790355284, 0, -130267155840, 0, 127119630, 0, -13936256, 0, 27780, 0, 0, 0, 1], 'lmfdb_label': '133560.t3', 'torsion': [2, 6]}
  • id: 6055611
    {'degree': 16, 'field': [24578540468498916, 0, 47134847884032, 0, 7902426835908, 0, 6275424924, 0, 937898125, 0, 100084, 0, 50118, 0, -8, 0, 1], 'lmfdb_label': '133560.t3', 'torsion': [4, 4]}
• 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: 3294024
    {'conductor': 133560, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '133560.t3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3294025
    {'conductor': 133560, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '133560.t3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3294026
    {'conductor': 133560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '133560.t3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3294027
    {'conductor': 133560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '133560.t3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3294028
    {'conductor': 133560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '133560.t3', 'prime': 53, '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: 2533110
    {'adelic_gens': [[43688, 3, 5045, 2], [1, 0, 8, 1], [1, 8, 0, 1], [8908, 1, 17831, 6], [1, 4, 4, 17], [7, 6, 44514, 44515], [16699, 16698, 5578, 27835], [27833, 27828, 27830, 5567], [25448, 3, 38165, 2], [14836, 44519, 29657, 44514], [44513, 8, 44512, 9]], 'adelic_image': '44520.48.0.?', 'conductor': 133560, 'lmfdb_label': '133560.t3', 'prime': 0}
  • id: 518352
    {'conductor': 133560, 'elladic_image': '4.6.0.1', 'lmfdb_label': '133560.t3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 133560.t does not appear in ec_padic