Elliptic curve data - 1122.j4

Formats: - HTML - YAML - JSON - 2024-04-25T11:53:48.091736

• 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': '1122m2', 'Cnumber': 2, 'abc_quality': 1.0762120398825734, 'absD': 3534510366354604032, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [1, 0, 0, -41608, -90515392], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1122, 'degree': 23040, 'elladic_images': ['8.6.0.5', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2382123306049921058208225523', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-7966267523043306625, 3534510366354604032], 'lmfdb_iso': '1122.j', 'lmfdb_label': '1122.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -41608, -90515392], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '8.6.0.a.1', '24.48.0-24.p.1.15', '132.48.0.?', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2382123306049921058208225523', 'prec': 100}, 'szpiro_ratio': 7.143111511025091, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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': '0.011374006470528776286217946781', 'prec': 107}, 'conductor': 1122, 'gens': [], 'heights': [], 'lmfdb_label': '1122.j4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11220167125559804079938946905', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3660501376679412239816840714991795686', 'prec': 130}, 'tamagawa_product': 1080, 'torsion_generators': [[2864, 151160, 1]], 'xcoord_integral_points': [752, 2864]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': [3, 0], '5': [2, 2, 0], '11': [1, 0], '17': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '1122.j4'}
• ec_torsion_growth •

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

  
  
  • id: 55663
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '1122.j4', 'torsion': [2, 6]}
  • id: 55664
    {'degree': 4, 'field': [-8, 0, 1, 0, 1], 'lmfdb_label': '1122.j4', 'torsion': [12]}
  • id: 55665
    {'degree': 6, 'field': [12, 0, -11, 0, 1, 0, 1], 'lmfdb_label': '1122.j4', 'torsion': [3, 6]}
  • id: 55667
    {'degree': 8, 'field': [16, 0, -32, 0, 26, 0, -8, 0, 1], 'lmfdb_label': '1122.j4', 'torsion': [2, 12]}
  • id: 55666
    {'degree': 8, 'field': [36, 0, 204, 0, 13, 0, 10, 0, 1], 'lmfdb_label': '1122.j4', 'torsion': [2, 12]}
  • id: 55668
    {'degree': 9, 'field': [-685464, -316368, 200772, -37622, 7134, 2112, -103, 105, -3, 1], 'lmfdb_label': '1122.j4', 'torsion': [18]}
  • id: 55669
    {'degree': 12, 'field': [900, 0, 2292, 0, 493, 0, 362, 0, 51, 0, 14, 0, 1], 'lmfdb_label': '1122.j4', 'torsion': [6, 6]}
  • id: 55670
    {'degree': 16, 'field': [363817476, 0, 856041120, 0, 434467572, 0, 69330624, 0, 1414957, 0, -122200, 0, -3606, 0, 8, 0, 1], 'lmfdb_label': '1122.j4', 'torsion': [24]}
  • id: 55671
    {'degree': 18, 'field': [1227765328416, -205096928256, 142055694000, -103105937088, 82578726648, -25064221248, 5401743092, -266866104, -40876032, 57958820, -437616, 1155744, 501603, -30762, 18675, -932, 237, -6, 1], 'lmfdb_label': '1122.j4', 'torsion': [2, 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: 16318
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 15, 'j_denominator_valuation': 15, 'kodaira_symbol': 19, 'lmfdb_label': '1122.j4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 15}
  • id: 16319
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1122.j4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 16320
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1122.j4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 16321
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1122.j4', '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: 1671673
    {'adelic_gens': [[10, 3, 105, 256], [185, 2, 48, 1], [145, 12, 78, 73], [253, 12, 252, 13], [210, 1, 77, 122], [1, 0, 12, 1], [11, 2, 214, 255], [1, 6, 6, 37], [1, 12, 0, 1]], 'adelic_image': '264.96.1.?', 'conductor': 1122, 'lmfdb_label': '1122.j4', 'prime': 0}
  • id: 5358
    {'conductor': 1122, 'elladic_image': '8.6.0.5', 'lmfdb_label': '1122.j4', 'modell_image': '2B', 'prime': 2}
  • id: 5359
    {'conductor': 1122, 'elladic_image': '3.8.0.1', 'lmfdb_label': '1122.j4', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 1122.j does not appear in ec_padic