Elliptic curve data - 13200.t1

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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': '13200h', 'Clabel': '13200h3', 'Cnumber': 3, 'abc_quality': 1.0052432979893915, 'absD': 39600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, -1, 0, -1320008, -583291488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13200, 'degree': 98304, 'elladic_images': ['16.48.0.117'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8801070869931744142260634152', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [15897679904620804, 2475], 'lmfdb_iso': '13200.t', 'lmfdb_label': '13200.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -52800, 4687452], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.7', '16.48.0-16.f.1.9', '20.12.0-4.c.1.1', '40.48.0-40.cb.1.4', '44.12.0.h.1', '80.96.0.?', '88.48.0.?', '176.96.0.?', '220.24.0.?', '440.96.0.?', '880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698071', 'prec': 103}, 'szpiro_ratio': 5.680144106562171, '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, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, -1, 0, 0, 1, 2, 6, 4, 0, 6, 8, -6, 10, -4, -8, 10, 12, 6, -4, 0, 14, 0, 4, -6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 13200, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '13200.t', 'trace_hash': 299025842416991723}
• 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': '0.023278754137384043301905686244', 'prec': 107}, 'conductor': 13200, 'gens': [], 'heights': [], 'lmfdb_label': '13200.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14084952491275539126344001006', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2535923986040862602150401610080018755', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-663, 0, 1]], 'xcoord_integral_points': [-663]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '13200.t1'}
• ec_torsion_growth •

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

  
  
  • id: 679165
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [2, 2]}
  • id: 679167
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [4]}
  • id: 679166
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '13200.t1', 'torsion': [4]}
  • id: 679169
    {'degree': 4, 'field': [9, 0, -4, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [8]}
  • id: 679168
    {'degree': 4, 'field': [16, 0, -3, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [2, 4]}
  • id: 679170
    {'degree': 4, 'field': [289, 0, 54, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [8]}
  • id: 679174
    {'degree': 8, 'field': [-1875, 0, -980, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [6]}
  • id: 679171
    {'degree': 8, 'field': [-855, 990, 954, 198, 19, -66, -16, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [2, 4]}
  • id: 679173
    {'degree': 8, 'field': [676, 0, -388, 0, 53, 0, 2, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [2, 8]}
  • id: 679172
    {'degree': 8, 'field': [159589, -6332, 7130, -1592, 787, 8, 2, -4, 1], 'lmfdb_label': '13200.t1', 'torsion': [8]}
  • id: 679182
    {'degree': 16, 'field': [10000, 0, 4000, 0, 400, 0, 3180000, 0, 317400, 0, 8040, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [12]}
  • id: 679175
    {'degree': 16, 'field': [396900, 0, -278640, 0, 131076, 0, 16092, 0, 9349, 0, -284, 0, -66, 0, -8, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [4, 4]}
  • id: 679177
    {'degree': 16, 'field': [82973881, 0, 34949784, 0, -1762142, 0, -583164, 0, 58803, 0, 1332, 0, -338, 0, 12, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [2, 8]}
  • id: 679176
    {'degree': 16, 'field': [97544701, 2296808, -4989580, 6098400, -4851070, 2217544, -831488, 79320, -19925, -120, 112, 56, -70, 0, 20, -8, 1], 'lmfdb_label': '13200.t1', 'torsion': [2, 8]}
  • id: 679180
    {'degree': 16, 'field': [261274896, 0, -901028448, 0, 143656848, 0, -18730016, 0, 1380440, 0, -83096, 0, 3088, 0, -88, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [2, 6]}
  • id: 679181
    {'degree': 16, 'field': [519585716, -714367832, 1040619940, -713959360, 514647560, -200645016, 86437972, -17746360, 5703665, -903640, 241272, -35104, 7610, -840, 140, -8, 1], 'lmfdb_label': '13200.t1', 'torsion': [12]}
  • id: 679179
    {'degree': 16, 'field': [741200625, 0, 1317690000, 0, 807917000, 0, 31944000, 0, 48406050, 0, 1984400, 0, 27720, 0, 0, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [2, 16]}
  • id: 679178
    {'degree': 16, 'field': [60037250625, 0, 7277242500, 0, 441045000, 0, 5346000, 0, -390825, 0, -10800, 0, 1800, 0, -60, 0, 1], 'lmfdb_label': '13200.t1', 'torsion': [16]}
• 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: 286828
    {'conductor': 13200, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '13200.t1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 286829
    {'conductor': 13200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '13200.t1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 286830
    {'conductor': 13200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '13200.t1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 286831
    {'conductor': 13200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13200.t1', 'prime': 11, '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: 1751606
    {'adelic_gens': [[13, 16, 44, 105], [5, 4, 876, 877], [1, 16, 0, 1], [865, 16, 864, 17], [94, 649, 517, 266], [15, 2, 782, 867], [339, 864, 432, 315], [1, 0, 16, 1], [808, 1, 719, 10]], 'adelic_image': '880.192.1.?', 'conductor': 13200, 'lmfdb_label': '13200.t1', 'prime': 0}
  • id: 62655
    {'conductor': 13200, 'elladic_image': '16.48.0.117', 'lmfdb_label': '13200.t1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 13200.t does not appear in ec_padic