Elliptic curve data - 441090.bw4

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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': '441090bw', 'Clabel': '441090bw4', 'Cnumber': 4, 'abc_quality': 0.9390084776053046, 'absD': 40984683415027157812500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9048, 'ainvs': [1, -1, 0, 5121936, -8659529852], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 441090, 'degree': 66060288, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0225211849495534400515450539', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [4223169036960119, 11647532812500], 'lmfdb_iso': '441090.bw', 'lmfdb_label': '441090.bw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 3368, 147364], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '104.12.0.?', '116.12.0.?', '156.12.0.?', '312.24.0.?', '696.24.0.?', '3016.24.0.?', '4524.24.0.?', '9048.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3740296425136742031652269552', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1907403618847302263271787147', 'prec': 100}, 'szpiro_ratio': 4.561566752688005, '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, -1, 0, 1, 1, 0, 4, -1, 0, -1, -4, 0, 0, -4, 0, 1, 6, 0, 4, 1], 'aplist': [-1, 0, 1, 4, -4, 0, 6, 4, 8, -1, -8, 6, -2, -4, 0, 10, -8, -10, 8, -4, -14, -16, -16, 14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 441090, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '441090.bw', 'trace_hash': 1171291329214287572}
• 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': '0.0023695804379702960652426825435', 'prec': 110}, 'conductor': 441090, 'gens': [[3312, 209594, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3740296425136742031652269552', 'prec': 100}], 'lmfdb_label': '441090.bw4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.058910178299575093192507602174', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.9506886098532522329779929916312778612', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[5123, -5123, 2]], 'xcoord_integral_points': [3312, 6224]}
• lmfdb_label 441090.bw4 does not appear in ec_iwasawa
• lmfdb_label 441090.bw4 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: 10889310
    {'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '441090.bw4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10889311
    {'conductor': 441090, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '441090.bw4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10889312
    {'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '441090.bw4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 10889313
    {'conductor': 441090, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '441090.bw4', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10889314
    {'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '441090.bw4', 'prime': 29, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 4382644
    {'adelic_gens': [[7, 6, 9042, 9043], [7655, 6024, 6492, 5999], [1, 0, 8, 1], [1, 8, 0, 1], [5659, 5658, 4914, 3403], [1, 4, 4, 17], [9041, 8, 9040, 9], [6031, 0, 0, 9047], [5656, 4155, 2643, 8704], [6976, 3, 213, 6034]], 'adelic_image': '9048.48.0.?', 'conductor': 441090, 'lmfdb_label': '441090.bw4', 'prime': 0}
  • id: 1479258
    {'conductor': 441090, 'elladic_image': '4.6.0.1', 'lmfdb_label': '441090.bw4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 441090.bw does not appear in ec_padic