Elliptic curve data - 1122.j1

Formats: - HTML - YAML - JSON - 2024-04-24T09:38:30.706715

• 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': '1122m', 'Clabel': '1122m3', 'Cnumber': 3, 'abc_quality': 1.1764898982289331, 'absD': 815656731648, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [1, 0, 0, -16594568, -26020768704], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1122, 'degree': 34560, 'elladic_images': ['8.6.0.4', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4409448846590742968098291100', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [505384091400037554067434625, 815656731648], 'lmfdb_iso': '1122.j', 'lmfdb_label': '1122.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -16594568, -26020768704], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '8.6.0.d.1', '24.48.0-24.bx.1.11', '66.48.0-66.b.1.3', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4409448846590742968098291100', 'prec': 100}, 'szpiro_ratio': 8.755306264533266, '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, 0, 1, 2, 1, 1, 0, 1, 1, -4, 2, 0, 1, -1, 1, 8, 0], 'aplist': [1, 1, 0, 2, 1, -4, -1, 8, 6, 6, -4, 2, -6, -4, 6, -12, 0, -4, -4, 6, 2, -10, 12, 18, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 1122, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '1122.j', 'trace_hash': 1251045916934842347}
• 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': '0.0075826709803525175241452978537', 'prec': 110}, 'conductor': 1122, 'gens': [], 'heights': [], 'lmfdb_label': '1122.j1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.074801114170398693866259646033', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3660501376679412239816840714991795686', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[-2352, 1176, 1]], 'xcoord_integral_points': [-2352]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [3, 1], '5': [2, 2, 0], '11': [1, 0], '17': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '1122.j1'}
• ec_torsion_growth •

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

  
  
  • id: 55672
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '1122.j1', 'torsion': [2, 2]}
  • id: 55673
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1122.j1', 'torsion': [6]}
  • id: 55674
    {'degree': 3, 'field': [-66, 0, 0, 1], 'lmfdb_label': '1122.j1', 'torsion': [6]}
  • id: 55675
    {'degree': 4, 'field': [2, 0, 1, -2, 1], 'lmfdb_label': '1122.j1', 'torsion': [4]}
  • id: 55676
    {'degree': 4, 'field': [9, -3, -2, -1, 1], 'lmfdb_label': '1122.j1', 'torsion': [2, 6]}
  • id: 55678
    {'degree': 6, 'field': [-528, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1122.j1', 'torsion': [2, 6]}
  • id: 55677
    {'degree': 6, 'field': [4489, -201, -192, 125, 6, -3, 1], 'lmfdb_label': '1122.j1', 'torsion': [3, 6]}
  • id: 55681
    {'degree': 8, 'field': [4, 0, -2, 8, -1, -2, 3, -2, 1], 'lmfdb_label': '1122.j1', 'torsion': [12]}
  • id: 55680
    {'degree': 8, 'field': [256, 128, 16, 32, 42, -8, 1, -2, 1], 'lmfdb_label': '1122.j1', 'torsion': [2, 4]}
  • id: 55679
    {'degree': 8, 'field': [272424, 148800, 23742, 2460, -1025, -278, -6, -2, 1], 'lmfdb_label': '1122.j1', 'torsion': [2, 4]}
  • id: 55682
    {'degree': 12, 'field': [277729, 3162, 7941, -21170, 8010, 3042, -915, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '1122.j1', 'torsion': [6, 6]}
  • id: 55683
    {'degree': 12, 'field': [18480932, 1439856, -1392720, 1031292, 132678, -82788, 23401, 2346, -1167, 244, 15, -6, 1], 'lmfdb_label': '1122.j1', 'torsion': [12]}
  • id: 55686
    {'degree': 16, 'field': [9, -18, -33, 42, 277, -444, 294, -112, 62, -88, 62, -4, -27, 18, -1, -2, 1], 'lmfdb_label': '1122.j1', 'torsion': [2, 12]}
  • id: 55684
    {'degree': 16, 'field': [101548056, -32686272, 39691896, -14530368, 8649878, -1908264, 1057648, -384000, 128035, -27128, 11216, -3200, 594, -56, 28, -8, 1], 'lmfdb_label': '1122.j1', 'torsion': [8]}
  • id: 55685
    {'degree': 16, 'field': [75524933124, 0, 4660462296, 0, -949267119, 0, -12769476, 0, 3025348, 0, 3626, 0, -3216, 0, 8, 0, 1], 'lmfdb_label': '1122.j1', 'torsion': [2, 12]}
  • id: 55687
    {'degree': 18, 'field': [82653950016, 0, 0, -853863120, 0, 0, 30984228, 0, 0, -622314, 0, 0, 7113, 0, 0, -45, 0, 0, 1], 'lmfdb_label': '1122.j1', 'torsion': [18]}
• 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: 16322
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '1122.j1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 16323
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1122.j1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 16324
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1122.j1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 16325
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1122.j1', '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: 1671670
    {'adelic_gens': [[11, 2, 214, 255], [130, 3, 45, 256], [230, 3, 61, 256], [1, 12, 0, 1], [1, 6, 6, 37], [1, 0, 12, 1], [253, 12, 252, 13], [15, 58, 230, 5], [133, 12, 6, 73]], 'adelic_image': '264.96.1.?', 'conductor': 1122, 'lmfdb_label': '1122.j1', 'prime': 0}
  • id: 5352
    {'conductor': 1122, 'elladic_image': '8.6.0.4', 'lmfdb_label': '1122.j1', 'modell_image': '2B', 'prime': 2}
  • id: 5353
    {'conductor': 1122, 'elladic_image': '3.8.0.2', 'lmfdb_label': '1122.j1', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 1122.j does not appear in ec_padic