Elliptic curve data - 177744.db1

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

  
  {'Ciso': '177744ba', 'Clabel': '177744ba2', 'Cnumber': 2, 'abc_quality': 0.9797147588676234, 'absD': 344479241527824191717376, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1288, 'ainvs': [0, 1, 0, -28324952, 50678717460], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 177744, 'degree': 24330240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2432303050345258346754768050', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2], 'jinv': [4144806984356137, 568114785504], 'lmfdb_iso': '177744.db', 'lmfdb_label': '177744.db1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3346, 63700], 'min_quad_twist_disc': 92, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '184.6.0.?', '1288.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98233601651000567985486826764', 'prec': 103}, 'szpiro_ratio': 5.219295522804656, '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, 2, 0, -1, 0, 1, 0, 0, 0, 4, 0, 2, 0, 0, 0, 6, 0], 'aplist': [0, 1, 2, -1, 0, 4, 0, 6, 0, -6, 10, 6, -2, 12, -10, 10, 12, 14, -12, 12, 14, 0, 2, 12, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 177744, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '177744.db', 'trace_hash': 1931096680001072304}
• 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': '0.0015239332680135659151926331329', 'prec': 110}, 'conductor': 177744, 'gens': [], 'heights': [], 'lmfdb_label': '177744.db1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.092307967802899333222578102256', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9077099393855573262449985443646352885', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[2131, 0, 1]], 'xcoord_integral_points': [2131]}
• lmfdb_label 177744.db1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7873246
    {'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '177744.db1', 'torsion': [2, 2]}
  • id: 7873247
    {'degree': 4, 'field': [11, 9, -2, -1, 1], 'lmfdb_label': '177744.db1', 'torsion': [4]}
  • id: 7873250
    {'degree': 8, 'field': [-1587, 0, -3496, 0, 138, 0, 0, 0, 1], 'lmfdb_label': '177744.db1', 'torsion': [6]}
  • id: 7873248
    {'degree': 8, 'field': [81, 0, 108, 0, -2890, 0, 12, 0, 1], 'lmfdb_label': '177744.db1', 'torsion': [2, 4]}
  • id: 7873249
    {'degree': 8, 'field': [441, 0, 1414, 0, -33, 0, -6, 0, 1], 'lmfdb_label': '177744.db1', 'torsion': [2, 4]}
  • id: 7873251
    {'degree': 16, 'field': [46348864, 0, -21693232, 0, 4774156, 0, -261050, 0, -29047, 0, 4204, 0, 88, 0, -22, 0, 1], 'lmfdb_label': '177744.db1', 'torsion': [8]}
  • id: 7873252
    {'degree': 16, 'field': [202977009, 0, -258777504, 0, 78398388, 0, -12756484, 0, 1295858, 0, -86176, 0, 3664, 0, -92, 0, 1], 'lmfdb_label': '177744.db1', 'torsion': [2, 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: 4398397
    {'conductor': 177744, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '177744.db1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4398398
    {'conductor': 177744, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '177744.db1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 4398399
    {'conductor': 177744, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '177744.db1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4398400
    {'conductor': 177744, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '177744.db1', 'prime': 23, '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: 2808688
    {'adelic_gens': [[562, 1, 1007, 0], [1, 2, 2, 5], [2, 1, 643, 0], [1, 4, 0, 1], [1285, 4, 1284, 5], [1, 0, 4, 1], [185, 4, 370, 9], [3, 4, 8, 11], [484, 809, 161, 1128]], 'adelic_image': '1288.12.0.?', 'conductor': 177744, 'lmfdb_label': '177744.db1', 'prime': 0}
  • id: 668011
    {'conductor': 177744, 'elladic_image': '2.3.0.1', 'lmfdb_label': '177744.db1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 177744.db does not appear in ec_padic