Elliptic curve data - 444675.ca3

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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': '444675ca', 'Clabel': '444675ca2', 'Cnumber': 2, 'abc_quality': 0.9061709337250211, 'absD': 525670633396650237890625, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [1, 1, 1, -40023838, 90986690906], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 444675, 'degree': 70778880, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2973411792384032803160567452', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2, 4], 'jinv': [2177286259681, 161417025], 'lmfdb_iso': '444675.ca', 'lmfdb_label': '444675.ca3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -270, 1482], 'min_quad_twist_disc': 385, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0-4.b.1.10', '40.24.0-4.b.1.3', '56.24.0.i.1', '88.24.0.?', '120.48.0.?', '132.24.0.?', '168.48.0.?', '264.48.0.?', '280.48.0.?', '420.24.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '1320.96.0.?', '1540.24.0.?', '1848.96.0.?', '3080.96.0.?', '4620.48.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8725117125981677350782993881', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.32071951209451116843202891788', 'prec': 103}, 'szpiro_ratio': 4.931032097397307, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, -1, -1, 0, 1, 0, 3, 1, 0, 0, 1, 2, 0, 0, -1, 6, -1, -4, 0], 'aplist': [-1, -1, 0, 0, 0, 2, 6, -4, -8, -6, -8, -6, -6, -4, -8, 10, 12, -10, 12, -8, 6, -8, 4, -10, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 444675, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '444675.ca', 'trace_hash': 309749292651364377}
• 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': '0.0013676212550246160567311737291', 'prec': 110}, 'conductor': 444675, 'gens': [[4670, 74802, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.8725117125981677350782993881', 'prec': 100}], 'lmfdb_label': '444675.ca3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.090714453009076656243472343355', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8103422542366836200316062180599727549', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[2855, -1428, 1], [4395, -2198, 1]], 'xcoord_integral_points': [-5720, 2855, 4395, 4670, 69614]}
• lmfdb_label 444675.ca3 does not appear in ec_iwasawa
• lmfdb_label 444675.ca3 does not appear in ec_torsion_growth
• 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: 10975377
    {'conductor': 444675, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '444675.ca3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10975378
    {'conductor': 444675, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '444675.ca3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10975379
    {'conductor': 444675, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '444675.ca3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10975380
    {'conductor': 444675, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '444675.ca3', 'prime': 11, '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: 4403396
    {'adelic_gens': [[6167, 6, 9234, 9235], [9233, 8, 9232, 9], [3, 2314, 9236, 6925], [1, 0, 8, 1], [1, 8, 0, 1], [5, 4, 9236, 9237], [1841, 9234, 3702, 5], [4625, 6936, 6924, 4613], [9233, 9238, 2658, 5], [6719, 9232, 8396, 9207]], 'adelic_image': '9240.192.1.?', 'conductor': 444675, 'lmfdb_label': '444675.ca3', 'prime': 0}
  • id: 1489542
    {'conductor': 444675, 'elladic_image': '4.12.0.3', 'lmfdb_label': '444675.ca3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 444675.ca does not appear in ec_padic