Elliptic curve data - 183920.cg3

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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': '183920bn', 'Clabel': '183920bn2', 'Cnumber': 2, 'abc_quality': 0.900561520134957, 'absD': 46406559498087669760, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 25080, 'ainvs': [0, -1, 0, -916736, 471007616], 'analytic_rank': 2, 'bad_primes': [2, 5, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 183920, 'degree': 4976640, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4773679752767584495967044218', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-11741970526489, 6395335210], 'lmfdb_iso': '183920.cg', 'lmfdb_label': '183920.cg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -474, 5486], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.a.1', '120.24.0.?', '132.24.0.?', '228.24.0.?', '836.6.0.?', '1320.48.0.?', '2280.48.0.?', '2508.48.0.?', '8360.12.0.?', '25080.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '20.593029450252474823466064184', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [5, 6, 36784], [11, 72, 1520], [19, 20, 9680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58527315831762786814850051136', 'prec': 103}, 'szpiro_ratio': 4.4102860477014385, '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, 2, 0, -1, 0, -4, 0, 1, 0, 0, 0, -2, 0, -2, 0, 0, 0, 1, 0], 'aplist': [0, 2, -1, -4, 0, -2, 0, 1, 0, -6, -2, 2, -6, -10, 0, -6, 12, -8, -14, 6, 4, -4, 6, 6, -16], 'class_deg': 6, 'class_size': 4, 'conductor': 183920, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '183920.cg', 'trace_hash': 1351473928210741729}
• 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': '0.0070499415670534802416398278737', 'prec': 110}, 'conductor': 183920, 'gens': [[730, 13794, 1], [220642, 154396242, 23]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3940507042584023134575132764', 'prec': 100}, {'__RealLiteral__': 0, 'data': '8.6020084666193417869834533233', 'prec': 100}], 'lmfdb_label': '183920.cg3', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.18741382795941386792897990322', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.437673914211041840516183982788971149', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1151, 0, 1]], 'xcoord_integral_points': [-1151, 730]}
• lmfdb_label 183920.cg3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8119661
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [6]}
  • id: 8119660
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 2]}
  • id: 8119662
    {'degree': 4, 'field': [-40, 0, 7, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [4]}
  • id: 8119663
    {'degree': 4, 'field': [441, 0, -2, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 6]}
  • id: 8119664
    {'degree': 6, 'field': [326628, 61272, 7668, -372, -26, -2, 1], 'lmfdb_label': '183920.cg3', 'torsion': [6]}
  • id: 8119666
    {'degree': 8, 'field': [100, 0, 7820, 0, 709, 0, 54, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 4]}
  • id: 8119667
    {'degree': 8, 'field': [10000, 0, -1200, 0, -600, 0, -12, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [12]}
  • id: 8119665
    {'degree': 8, 'field': [148225, 0, -5500, 0, -560, 0, 20, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 4]}
  • id: 8119669
    {'degree': 12, 'field': [1045034929, 0, 352751058, 0, 14214915, 0, 725960, 0, 16335, 0, 198, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 6]}
  • id: 8119668
    {'degree': 12, 'field': [4230442681, 3740391202, 1426446123, 229925940, -5980434, -8220970, -845605, 97840, 21966, -90, -213, -4, 1], 'lmfdb_label': '183920.cg3', 'torsion': [3, 6]}
  • id: 8119670
    {'degree': 16, 'field': [1690000, 0, 5969750, 0, -574475, 0, -1526700, 0, -466535, 0, -60210, 0, -3091, 0, -12, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [8]}
  • id: 8119671
    {'degree': 16, 'field': [4044121, 0, -4169036, 0, 1303910, 0, 7496, 0, 42119, 0, -2224, 0, 330, 0, -36, 0, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 12]}
  • id: 8119672
    {'degree': 16, 'field': [7385984, 48640, 3174848, -6611008, 3730504, -551328, 251892, -58644, 18889, -8612, 7020, -2276, -106, 196, -8, -8, 1], 'lmfdb_label': '183920.cg3', 'torsion': [2, 12]}
  • id: 8119673
    {'degree': 18, 'field': [-17137031, 16646052, 8002344, 7637734, -5878119, -7604760, -64916, -970146, -1429758, -312598, -92103, 10482, 21753, 90, 1161, -380, 9, -6, 1], 'lmfdb_label': '183920.cg3', '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: 4550291
    {'conductor': 183920, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '183920.cg3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4550292
    {'conductor': 183920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '183920.cg3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4550293
    {'conductor': 183920, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '183920.cg3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4550294
    {'conductor': 183920, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '183920.cg3', 'prime': 19, '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: 2846262
    {'adelic_gens': [[19854, 24023, 7315, 11494], [11, 2, 25030, 25071], [15959, 25068, 20514, 25007], [1, 0, 12, 1], [1, 6, 6, 37], [10, 3, 15021, 25072], [25069, 12, 25068, 13], [22441, 12, 9246, 73], [1, 12, 0, 1], [8369, 2, 20958, 13], [10, 3, 12513, 25072]], 'adelic_image': '25080.96.1.?', 'conductor': 183920, 'lmfdb_label': '183920.cg3', 'prime': 0}
  • id: 688295
    {'conductor': 183920, 'elladic_image': '2.3.0.1', 'lmfdb_label': '183920.cg3', 'modell_image': '2B', 'prime': 2}
  • id: 688296
    {'conductor': 183920, 'elladic_image': '3.4.0.1', 'lmfdb_label': '183920.cg3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 183920.cg does not appear in ec_padic