Elliptic curve data - 18050.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': '18050e', 'Clabel': '18050e3', 'Cnumber': 3, 'abc_quality': 1.054621266416818, 'absD': 1874584905187328000000, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 20520, 'ainvs': [1, 0, 1, -771826, 2099324548], 'analytic_rank': 0, 'bad_primes': [2, 5, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 18050, 'degree': 933120, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7621080567575139982568553026', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 9, 'isogeny_degrees': [1, 3, 9], 'jinv': [-69173457625, 2550136832], 'lmfdb_iso': '18050.j', 'lmfdb_label': '18050.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86, -2456], 'min_quad_twist_disc': -95, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '27.36.0.a.1', '120.8.0.?', '152.2.0.?', '171.36.0.?', '285.8.0.?', '360.24.0.?', '456.8.0.?', '513.324.16.?', '855.72.0.?', '1080.72.0.?', '1368.72.3.?', '2280.16.0.?', '2565.648.16.?', '4104.648.43.?', '6840.144.3.?', '20520.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9025], [3, 2, 9025], [5, 14, 722], [19, 200, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48516961095724358095196192004', 'prec': 103}, 'szpiro_ratio': 5.759977576918796, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, -1, -2, 0, -6, 1, 5, -1, 0, 1, -3, 2, 0, 0], 'aplist': [-1, 1, 0, 1, -6, 5, -3, 0, -3, -9, 4, 2, 0, -8, 0, -3, -9, -10, 5, 6, 7, 10, 6, 12, -10], 'class_deg': 9, 'class_size': 3, 'conductor': 18050, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '18050.j', 'trace_hash': 1579759789995907054}
• 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': '0.0039889943856613266642511296840', 'prec': 110}, 'conductor': 18050, 'gens': [], 'heights': [], 'lmfdb_label': '18050.j1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12338700452861250876547196173', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.98709603622890007012377569386439651302', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [2, 0], '5': 'a', '7': [2, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': 'a', '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '18050.j1'}
• ec_torsion_growth •

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

  
  
  • id: 922566
    {'degree': 2, 'field': [-71, -1, 1], 'lmfdb_label': '18050.j1', 'torsion': [3]}
  • id: 922567
    {'degree': 3, 'field': [-2, -2, -1, 1], 'lmfdb_label': '18050.j1', 'torsion': [2]}
  • id: 922571
    {'degree': 6, 'field': [-3884, 1270, -65, -52, -5, 0, 1], 'lmfdb_label': '18050.j1', 'torsion': [6]}
  • id: 922568
    {'degree': 6, 'field': [16, 16, 34, 4, 5, -2, 1], 'lmfdb_label': '18050.j1', 'torsion': [2, 2]}
  • id: 922569
    {'degree': 6, 'field': [144, -84, 60, -31, 8, -2, 1], 'lmfdb_label': '18050.j1', 'torsion': [3]}
  • id: 922570
    {'degree': 6, 'field': [42256, 36936, 6669, -532, -171, 0, 1], 'lmfdb_label': '18050.j1', 'torsion': [9]}
  • id: 922572
    {'degree': 12, 'field': [-5734, 23508, -38139, 24012, -4553, -880, -145, 56, 223, 16, 5, -4, 1], 'lmfdb_label': '18050.j1', 'torsion': [4]}
  • id: 922575
    {'degree': 12, 'field': [14884, 0, 45090, 0, 241, 0, 904, 0, 151, 0, 8, 0, 1], 'lmfdb_label': '18050.j1', 'torsion': [2, 6]}
  • id: 922573
    {'degree': 12, 'field': [20736, -12096, -1584, 3888, -156, -804, 601, -92, -58, 46, -4, -2, 1], 'lmfdb_label': '18050.j1', 'torsion': [3, 3]}
  • id: 922574
    {'degree': 12, 'field': [1127061, 0, 0, -134064, 0, 0, 6562, 0, 0, -136, 0, 0, 1], 'lmfdb_label': '18050.j1', 'torsion': [9]}
  • id: 922577
    {'degree': 18, 'field': [-52388539316, -10898912094, -55386725793, 68211599448, -54637241469, 21539939208, 94529737, -2287132476, 220414110, 60542072, 2946438, -999840, -207998, 28626, -5421, -80, -129, 0, 1], 'lmfdb_label': '18050.j1', 'torsion': [18]}
  • id: 922576
    {'degree': 18, 'field': [628736, -124096, -955744, -891968, 1489000, 783676, -748212, -331738, 124278, 92759, -3080, -14724, -457, 896, 288, -63, -6, -2, 1], 'lmfdb_label': '18050.j1', 'torsion': [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: 404506
    {'conductor': 18050, 'conductor_valuation': 1, 'discriminant_valuation': 27, 'j_denominator_valuation': 27, 'kodaira_symbol': 31, 'lmfdb_label': '18050.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 404507
    {'conductor': 18050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '18050.j1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 404508
    {'conductor': 18050, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '18050.j1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1784328
    {'adelic_gens': [[15391, 16470, 0, 1], [4103, 0, 0, 20519], [31, 36, 14698, 13759], [8236, 8235, 5625, 7696], [1, 54, 0, 1], [11624, 4095, 15625, 7544], [28, 27, 729, 703], [5041, 75, 13965, 14456], [20467, 54, 20466, 55], [1, 0, 54, 1]], 'adelic_image': '20520.1296.43.?', 'conductor': 18050, 'lmfdb_label': '18050.j1', 'prime': 0}
  • id: 84395
    {'conductor': 18050, 'elladic_image': '27.36.0.1', 'lmfdb_label': '18050.j1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 18050.j does not appear in ec_padic