Elliptic curve data - 22080.cg4

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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': '22080cs', 'Clabel': '22080cs2', 'Cnumber': 2, 'abc_quality': 0.9093994819073755, 'absD': 789792768000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2760, 'ainvs': [0, 1, 0, 1839, 30735], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 22080, 'degree': 32256, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96928882504041515176007512752', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [41957807024, 48205125], 'lmfdb_iso': '22080.cg', 'lmfdb_label': '22080.cg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 460, -3612], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.a.1', '24.24.0-6.a.1.6', '60.24.0.o.1', '120.48.0.?', '276.24.0.?', '552.48.0.?', '1380.48.1.?', '2760.96.1.?'], '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': False, 'serre_invariants': [[2, 2, 5], [3, 4, 1472], [5, 6, 4416], [23, 24, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.16061711438714562410663765249', 'prec': 103}, 'szpiro_ratio': 3.4155699586048813, '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, 4, 0, 1, 0, 0, 0, -2, 0, -1, 0, 6, 0, 2, 0], 'aplist': [0, 1, -1, 4, 0, -2, 6, 2, 1, -6, 4, -8, 6, 8, -12, 6, -6, 10, 8, 6, 2, 10, -12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 22080, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '22080.cg', 'trace_hash': 836294633152998036}
• 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': '0.14390849251023930118924920049', 'prec': 103}, 'conductor': 22080, 'gens': [], 'heights': [], 'lmfdb_label': '22080.cg4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.59692752475637215427719008165', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5815651485382329256631404898800149497', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-15, 0, 1]], 'xcoord_integral_points': [-15]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [0, 0], '23': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '22080.cg4'}
• ec_torsion_growth •

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

  
  
  • id: 1123664
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [6]}
  • id: 1123663
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [2, 2]}
  • id: 1123665
    {'degree': 4, 'field': [-20, 0, -32, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [4]}
  • id: 1123666
    {'degree': 4, 'field': [9, 0, -4, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [2, 6]}
  • id: 1123667
    {'degree': 6, 'field': [-600, 0, 124, 0, -2, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [6]}
  • id: 1123670
    {'degree': 8, 'field': [9, 0, 96, 0, 55, 0, -14, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [12]}
  • id: 1123669
    {'degree': 8, 'field': [2936, -2832, 2376, -736, 544, -88, 44, -4, 1], 'lmfdb_label': '22080.cg4', 'torsion': [2, 4]}
  • id: 1123668
    {'degree': 8, 'field': [22201, 0, 5168, 0, 579, 0, 32, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [2, 4]}
  • id: 1123671
    {'degree': 12, 'field': [12483, -24462, 17367, -9198, 3304, 1602, -1429, 426, -12, -6, 11, -6, 1], 'lmfdb_label': '22080.cg4', 'torsion': [3, 6]}
  • id: 1123672
    {'degree': 12, 'field': [4100625, 0, 753300, 0, 76491, 0, -2184, 0, -53, 0, 4, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [2, 6]}
  • id: 1123675
    {'degree': 16, 'field': [441, 0, -600, 0, -386, 0, 860, 0, 1171, 0, 580, 0, 154, 0, 20, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [2, 12]}
  • id: 1123674
    {'degree': 16, 'field': [2576025, 0, -523920, 0, 454294, 0, -62916, 0, 28299, 0, -2252, 0, 546, 0, -36, 0, 1], 'lmfdb_label': '22080.cg4', 'torsion': [2, 12]}
  • id: 1123673
    {'degree': 16, 'field': [2354883492, -542763168, -2803738272, -2374552704, -1041571688, -191877808, 10225448, 20456616, 5567776, 201760, -203960, -30536, 3076, 648, -52, -4, 1], 'lmfdb_label': '22080.cg4', 'torsion': [8]}
  • id: 1123676
    {'degree': 18, 'field': [593646003, -99275706, 593506521, 24537636, 221486400, 72268308, 33893676, 24445188, 5886342, 1259840, 339774, 6732, 4808, 3948, 1020, -116, 63, -6, 1], 'lmfdb_label': '22080.cg4', '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: 504587
    {'conductor': 22080, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '22080.cg4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 504588
    {'conductor': 22080, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '22080.cg4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 504589
    {'conductor': 22080, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '22080.cg4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 504590
    {'conductor': 22080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '22080.cg4', 'prime': 23, '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: 1811748
    {'adelic_gens': [[2750, 2757, 1959, 1388], [2749, 2758, 1430, 1389], [1201, 12, 306, 73], [2749, 12, 2748, 13], [1, 0, 12, 1], [1, 6, 6, 37], [1379, 0, 0, 2759], [11, 2, 2710, 2751], [1, 12, 0, 1], [929, 2, 924, 1], [1266, 817, 1265, 806], [1391, 2748, 1392, 2747]], 'adelic_image': '2760.96.1.?', 'conductor': 22080, 'lmfdb_label': '22080.cg4', 'prime': 0}
  • id: 102266
    {'conductor': 22080, 'elladic_image': '2.3.0.1', 'lmfdb_label': '22080.cg4', 'modell_image': '2B', 'prime': 2}
  • id: 102267
    {'conductor': 22080, 'elladic_image': '3.4.0.1', 'lmfdb_label': '22080.cg4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 22080.cg does not appear in ec_padic