Elliptic curve data - 1122.c3

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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': '1122b', 'Clabel': '1122b1', 'Cnumber': 1, 'abc_quality': 0.9879715979533532, 'absD': 6915442583808, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [1, 1, 0, -8279, -264363], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1122, 'degree': 3840, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1971188085807445104888110347', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [62768149033310713, 6915442583808], 'lmfdb_iso': '1122.c', 'lmfdb_label': '1122.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -8279, -264363], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '44.12.0-4.c.1.2', '66.6.0.a.1', '132.24.0.?', '136.12.0.?', '408.24.0.?', '1496.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1971188085807445104888110347', 'prec': 100}, 'szpiro_ratio': 5.507468413848784, '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, -1, 1, 2, 1, 4, -1, 1, -2, 1, -1, 6, -4, -2, 1, -1, -1, 4, 2], 'aplist': [-1, -1, 2, 4, 1, 6, -1, 4, 0, 2, 0, -10, -10, -4, 4, -2, 0, 2, 12, 0, -10, 4, -12, -14, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 1122, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '1122.c', 'trace_hash': 1088744706454325575}
• 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': '0.091242213911122507617640761156', 'prec': 107}, 'conductor': 1122, 'gens': [], 'heights': [], 'lmfdb_label': '1122.c3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50407293108147352342047681308', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5122187932444205702614304392330401619', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-66, 33, 1]], 'xcoord_integral_points': [-66]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [2, 0], '11': [1, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '1122.c3'}
• ec_torsion_growth •

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

  
  
  • id: 55286
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '1122.c3', 'torsion': [2, 2]}
  • id: 55287
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1122.c3', 'torsion': [4]}
  • id: 55288
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '1122.c3', 'torsion': [4]}
  • id: 55289
    {'degree': 4, 'field': [9, -3, -2, -1, 1], 'lmfdb_label': '1122.c3', 'torsion': [2, 4]}
  • id: 55293
    {'degree': 8, 'field': [-122, 137, -38, -3, 33, -21, 13, -4, 1], 'lmfdb_label': '1122.c3', 'torsion': [6]}
  • id: 55290
    {'degree': 8, 'field': [-74, -106, 5, 56, 40, -8, -10, -2, 1], 'lmfdb_label': '1122.c3', 'torsion': [2, 4]}
  • id: 55291
    {'degree': 8, 'field': [16, 24, 16, 6, -9, -3, 4, -3, 1], 'lmfdb_label': '1122.c3', 'torsion': [8]}
  • id: 55292
    {'degree': 8, 'field': [837, -3582, 4556, -2010, 1161, -190, 68, -4, 1], 'lmfdb_label': '1122.c3', 'torsion': [8]}
  • id: 55294
    {'degree': 16, 'field': [1, 6, 18, 36, 85, 252, 630, 798, 84, -798, 630, -252, 85, -36, 18, -6, 1], 'lmfdb_label': '1122.c3', 'torsion': [4, 4]}
  • id: 55295
    {'degree': 16, 'field': [256, 1088, 4112, 3552, 4364, 2560, 757, -990, 1687, -1248, 421, -322, 125, -36, 11, -2, 1], 'lmfdb_label': '1122.c3', 'torsion': [2, 8]}
  • id: 55298
    {'degree': 16, 'field': [1168, -2000, 2472, -912, 792, -1638, 2833, -2480, 1416, -780, 453, -240, 131, -70, 30, -8, 1], 'lmfdb_label': '1122.c3', 'torsion': [12]}
  • id: 55299
    {'degree': 16, 'field': [4724, 21132, 16832, -46184, -26266, 33310, 23973, 19828, 7980, 250, 2589, -164, 445, -8, 34, 0, 1], 'lmfdb_label': '1122.c3', 'torsion': [12]}
  • id: 55296
    {'degree': 16, 'field': [700569, -2998134, 9017352, -12954852, 12585559, -999186, -1816164, -849254, 684032, 30964, -41776, -5642, 2703, 108, -52, -4, 1], 'lmfdb_label': '1122.c3', 'torsion': [2, 8]}
  • id: 55297
    {'degree': 16, 'field': [76507128, 41096430, -52258743, -5130912, 12703990, 476610, -2304969, -48724, 282903, -234, -25153, 12, 1479, -8, -54, 0, 1], 'lmfdb_label': '1122.c3', '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: 16178
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '1122.c3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 16179
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '1122.c3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 16180
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1122.c3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 16181
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1122.c3', 'prime': 17, 'reduction_type': -1, '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: 1671650
    {'adelic_gens': [[1, 0, 8, 1], [2996, 1, 1519, 6], [2809, 2808, 574, 2815], [1, 8, 0, 1], [7, 6, 4482, 4483], [1, 4, 4, 17], [3272, 3, 2045, 2], [3931, 3930, 2818, 571], [1057, 8, 4228, 33], [4481, 8, 4480, 9]], 'adelic_image': '4488.48.0.?', 'conductor': 1122, 'lmfdb_label': '1122.c3', 'prime': 0}
  • id: 5332
    {'conductor': 1122, 'elladic_image': '4.6.0.1', 'lmfdb_label': '1122.c3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 1122.c does not appear in ec_padic