Elliptic curve data - 1320.j1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1320c', 'Clabel': '1320c1', 'Cnumber': 1, 'abc_quality': 1.0221862301159816, 'absD': 797202450000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 1, 0, -8931, 319050], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1320, 'degree': 1920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1016851370026636301357863701', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [4924392082991104, 49825153125], 'lmfdb_iso': '1320.j', 'lmfdb_label': '1320.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -8931, 319050], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.c.1', '220.12.0.?'], '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': False, 'serre_invariants': [[2, 2, 5], [3, 4, 40], [5, 6, 264], [11, 12, 120]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87063607681601519366337566295', 'prec': 103}, 'szpiro_ratio': 5.4145400748587855, '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, -1, 0, -2, 0, 1, 0, -1, 0, 0, 0, -1, 0, 4, 0, 4, 0], 'aplist': [0, 1, -1, -2, -1, 0, 4, 4, 4, 6, 0, 6, 10, 2, -4, -2, 12, -6, 8, 0, -8, -8, -18, 14, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 1320, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1320.j', 'trace_hash': 946107354144578975}
• 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': '0.11043034994414385045246010972', 'prec': 103}, 'conductor': 1320, 'gens': [], 'heights': [], 'lmfdb_label': '1320.j1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.89890252895787994093453902240', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7978050579157598818690780447906673408', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[50, 0, 1]], 'xcoord_integral_points': [50]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '1320.j1'}
• ec_torsion_growth •

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

  
  
  • id: 65587
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '1320.j1', 'torsion': [2, 2]}
  • id: 65588
    {'degree': 4, 'field': [1, 1, 1, -1, 1], 'lmfdb_label': '1320.j1', 'torsion': [4]}
  • id: 65589
    {'degree': 8, 'field': [-2039, 3492, -1460, -358, 239, 58, -30, -2, 1], 'lmfdb_label': '1320.j1', 'torsion': [2, 4]}
  • id: 65591
    {'degree': 8, 'field': [-48, 0, -16, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '1320.j1', 'torsion': [6]}
  • id: 65590
    {'degree': 8, 'field': [1, -4, 11, -11, 18, -13, 9, -3, 1], 'lmfdb_label': '1320.j1', 'torsion': [2, 4]}
  • id: 65593
    {'degree': 16, 'field': [-619, 222, -164, 486, 896, -834, -764, 696, 611, -184, -206, 52, 64, -16, -16, 0, 1], 'lmfdb_label': '1320.j1', 'torsion': [2, 6]}
  • id: 65592
    {'degree': 16, 'field': [1083, -2166, 1300, 84, 2471, -2292, 486, -1992, 720, 1272, 186, -498, 54, 18, 8, -6, 1], 'lmfdb_label': '1320.j1', 'torsion': [8]}
• 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: 19824
    {'conductor': 1320, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1320.j1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 19825
    {'conductor': 1320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1320.j1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 19826
    {'conductor': 1320, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '1320.j1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 19827
    {'conductor': 1320, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1320.j1', 'prime': 11, '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: 1672872
    {'adelic_gens': [[134, 1, 43, 0], [57, 166, 164, 55], [1, 2, 2, 5], [217, 4, 216, 5], [3, 4, 8, 11], [101, 4, 202, 9], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 1320, 'lmfdb_label': '1320.j1', 'prime': 0}
  • id: 6386
    {'conductor': 1320, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1320.j1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 1320.j does not appear in ec_padic