Elliptic curve data - 495495.dt4

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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': '495495dt', 'Clabel': '495495dt4', 'Cnumber': 4, 'abc_quality': 0.9710184073087608, 'absD': 2048897017758659963895, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120120, 'ainvs': [1, -1, 0, 1302966, 2100888895], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 495495, 'degree': 22118400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7706679639183475667146692441', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 4], 'jinv': [189425802193991, 1586486902455], 'lmfdb_iso': '495495.dt', 'lmfdb_label': '495495.dt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1197, 58968], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '88.12.0.?', '312.12.0.?', '840.12.0.?', '910.6.0.?', '1716.12.0.?', '1820.12.0.?', '3432.24.0.?', '4620.12.0.?', '9240.24.0.?', '10920.24.0.?', '40040.24.0.?', '60060.24.0.?', '120120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.106848867583845788203008982', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 55055], [5, 6, 99099], [7, 8, 70785], [11, 62, 4095], [13, 14, 38115]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0224141831851074489860748367', 'prec': 100}, 'szpiro_ratio': 4.305144728524134, '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, 1, -3, 0, 1, 0, 0, -1, 1, 0, -1, 2, 0, 4, -1], 'aplist': [1, 0, 1, 1, 0, -1, 2, 4, 0, 6, 8, 2, -10, -8, -12, 6, -4, -6, 12, -12, 6, 8, 8, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 495495, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '495495.dt', 'trace_hash': 1665894157759902677}
• 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': '0.0039212847840835053547938433155', 'prec': 110}, 'conductor': 495495, 'gens': [[1206301, 1332191837, 12]], 'heights': [{'__RealLiteral__': 0, 'data': '14.106848867583845788203008982', 'prec': 100}], 'lmfdb_label': '495495.dt4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10755162848397941753242350596', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.137716547888188313386677006725700911', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-3805, 3805, 2]], 'xcoord_integral_points': []}
• lmfdb_label 495495.dt4 does not appear in ec_iwasawa
• lmfdb_label 495495.dt4 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: 12213342
    {'conductor': 495495, 'conductor_valuation': 2, 'discriminant_valuation': 26, 'j_denominator_valuation': 20, 'kodaira_symbol': -24, 'lmfdb_label': '495495.dt4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 12213343
    {'conductor': 495495, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '495495.dt4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 12213344
    {'conductor': 495495, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '495495.dt4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 12213345
    {'conductor': 495495, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '495495.dt4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 12213346
    {'conductor': 495495, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '495495.dt4', 'prime': 13, '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: 4698351
    {'adelic_gens': [[1, 8, 0, 1], [848, 10923, 42845, 43682], [25939, 58696, 118778, 113301], [43679, 0, 0, 120119], [1, 0, 8, 1], [25939, 25938, 12298, 17755], [120113, 8, 120112, 9], [96724, 43681, 26543, 98286], [7, 6, 120114, 120115], [40039, 10912, 105556, 43647], [34948, 43681, 91751, 98286], [1, 4, 4, 17]], 'adelic_image': '120120.48.0.?', 'conductor': 495495, 'lmfdb_label': '495495.dt4', 'prime': 0}
  • id: 1637097
    {'conductor': 495495, 'elladic_image': '4.6.0.1', 'lmfdb_label': '495495.dt4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 495495.dt does not appear in ec_padic