Elliptic curve data - 441090.bw2

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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': '441090bw2', 'Cnumber': 2, 'abc_quality': 0.9078659426401595, 'absD': 405093580925806890000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4524, 'ainvs': [1, -1, 0, -2817684, -1540866560], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 441090, 'degree': 33030144, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6759475946695807853429289932', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2], 'jinv': [703093388853961, 115124490000], 'lmfdb_iso': '441090.bw', 'lmfdb_label': '441090.bw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1852, 25216], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '52.12.0.b.1', '116.12.0.?', '156.24.0.?', '348.24.0.?', '1508.24.0.?', '4524.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7480592850273484063304539103', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84416677160475757161856265395', 'prec': 103}, 'szpiro_ratio': 4.321602100671306, '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, 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': '0.0047391608759405921304853650869', 'prec': 110}, 'conductor': 441090, 'gens': [[2064, 36824, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.7480592850273484063304539103', 'prec': 100}], 'lmfdb_label': '441090.bw2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11782035659915018638501520435', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.9506886098532522329779929916312778612', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-1264, 632, 1], [-640, 320, 1]], 'xcoord_integral_points': [-1264, -640, 2064]}
• lmfdb_label 441090.bw2 does not appear in ec_iwasawa
• lmfdb_label 441090.bw2 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: 10889300
    {'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '441090.bw2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10889301
    {'conductor': 441090, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '441090.bw2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10889302
    {'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '441090.bw2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10889303
    {'conductor': 441090, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '441090.bw2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10889304
    {'conductor': 441090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '441090.bw2', 'prime': 29, '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: 4382642
    {'adelic_gens': [[2263, 1512, 3018, 3025], [1, 0, 4, 1], [3131, 1506, 0, 4523], [1, 4, 0, 1], [1249, 1512, 990, 3025], [4521, 4, 4520, 5], [1507, 0, 0, 4523]], 'adelic_image': '4524.48.0.?', 'conductor': 441090, 'lmfdb_label': '441090.bw2', 'prime': 0}
  • id: 1479256
    {'conductor': 441090, 'elladic_image': '2.6.0.1', 'lmfdb_label': '441090.bw2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 441090.bw does not appear in ec_padic