Elliptic curve data - 162624.cf3

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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': '162624hz', 'Clabel': '162624hz2', 'Cnumber': 2, 'abc_quality': 0.9724335123602292, 'absD': 148115878428672, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -13713, 202545], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 162624, 'degree': 414720, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4110240447964289846317341697', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9826000, 5103], 'lmfdb_iso': '162624.cf', 'lmfdb_label': '162624.cf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -28, -28], 'min_quad_twist_disc': -88, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '28.6.0.a.1', '84.48.1.?', '264.48.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 847], [3, 4, 54208], [7, 8, 23232], [11, 62, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59659530225602581505267509432', 'prec': 107}, 'szpiro_ratio': 3.3495556229761037, '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, 0, 0, -1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, -1, 0, -1, 0, 2, 0, -4, -6, 6, 8, -2, -12, -4, 12, 6, 0, -10, -8, 6, 10, 4, -12, 12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 162624, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '162624.cf', 'trace_hash': 1215892417595542721}
• 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': '0.059483989326361047205580729007', 'prec': 107}, 'conductor': 162624, 'gens': [], 'heights': [], 'lmfdb_label': '162624.cf3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50952373941838788633243503232', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0190474788367757726648700646354059583', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[15, 0, 1]], 'xcoord_integral_points': [15]}
• lmfdb_label 162624.cf3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7269106
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [2, 2]}
  • id: 7269107
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [6]}
  • id: 7269109
    {'degree': 4, 'field': [841, 0, 30, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [2, 6]}
  • id: 7269108
    {'degree': 4, 'field': [3388, 0, 110, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [4]}
  • id: 7269110
    {'degree': 6, 'field': [-7986, 0, -968, 0, -22, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [6]}
  • id: 7269111
    {'degree': 8, 'field': [324, 0, -2628, 0, 129, 0, 8, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [2, 4]}
  • id: 7269113
    {'degree': 8, 'field': [131769, 0, -15972, 0, 847, 0, -22, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [12]}
  • id: 7269112
    {'degree': 8, 'field': [131769, 0, -15972, 0, 2299, 0, 44, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [2, 4]}
  • id: 7269115
    {'degree': 12, 'field': [26894596, 0, 12541672, 0, 1536348, 0, -6700, 0, -2376, 0, -44, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [2, 6]}
  • id: 7269114
    {'degree': 12, 'field': [63776196, 0, -7730448, 0, 761332, 0, -37268, 0, 1452, 0, 22, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [3, 6]}
  • id: 7269117
    {'degree': 16, 'field': [1874161, 0, -618788, 0, 5044840, 0, -758356, 0, 159326, 0, -16732, 0, 1000, 0, -44, 0, 1], 'lmfdb_label': '162624.cf3', 'torsion': [2, 12]}
  • id: 7269116
    {'degree': 16, 'field': [57847293, 70591752, 263844, -34277544, -1853034, 9784560, -48816, -1572048, 106414, 142216, -12236, -8240, 658, 352, -32, -8, 1], 'lmfdb_label': '162624.cf3', 'torsion': [8]}
  • id: 7269118
    {'degree': 16, 'field': [213541969, -807432512, 1124620036, -664218656, 99050000, 50846332, -11789958, -3239960, 316559, 167372, 11982, 1172, -190, 32, -14, -4, 1], 'lmfdb_label': '162624.cf3', 'torsion': [2, 12]}
  • id: 7269119
    {'degree': 18, 'field': [1325228981201, -408618138768, 608715369390, -147901922210, 115021060941, -22597910262, 12204824135, -1961741040, 817446411, -107017264, 36138888, -3767442, 1057678, -83646, 19761, -1070, 213, -6, 1], 'lmfdb_label': '162624.cf3', 'torsion': [18]}
• 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: 4025840
    {'conductor': 162624, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '162624.cf3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4025841
    {'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '162624.cf3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4025842
    {'conductor': 162624, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '162624.cf3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4025843
    {'conductor': 162624, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '162624.cf3', 'prime': 11, 'reduction_type': 0, '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: 2715611
    {'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 1798, 1839], [263, 660, 264, 659], [1837, 12, 1836, 13], [1175, 0, 0, 1847], [1770, 275, 1771, 1462], [562, 1683, 1221, 1420], [923, 0, 0, 1847], [1409, 506, 396, 1], [1, 0, 12, 1], [1165, 1342, 638, 1605]], 'adelic_image': '1848.96.1.?', 'conductor': 162624, 'lmfdb_label': '162624.cf3', 'prime': 0}
  • id: 618463
    {'conductor': 162624, 'elladic_image': '2.3.0.1', 'lmfdb_label': '162624.cf3', 'modell_image': '2B', 'prime': 2}
  • id: 618464
    {'conductor': 162624, 'elladic_image': '3.4.0.1', 'lmfdb_label': '162624.cf3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 162624.cf does not appear in ec_padic