Elliptic curve data - 162240.ce3

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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': '162240gt', 'Clabel': '162240gt3', 'Cnumber': 3, 'abc_quality': 0.9987247425955773, 'absD': 285863368698086400000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, -1, 0, -22632705, -48770072703], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162240, 'degree': 16515072, 'elladic_images': ['8.48.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2211486780399254974019339579', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 56, 'isogeny_degrees': [1, 2, 4], 'jinv': [-4053153720264484, 903687890625], 'lmfdb_iso': '162240.ce', 'lmfdb_label': '162240.ce3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -33480, -2786400], 'min_quad_twist_disc': 104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0.c.1', '8.48.0-4.c.1.3', '104.96.1.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0144777585625633834855474085', 'prec': 100}, 'szpiro_ratio': 5.230065761643612, '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, 1, 0, -4, 0, 1, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0], 'aplist': [0, -1, 1, -4, 0, 0, 2, 0, 0, 2, 4, 6, 6, -4, 4, 10, 0, 2, 8, -4, 6, -8, 8, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 162240, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '162240.ce', 'trace_hash': 1842222665325205291}
• 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': '0.0015927433755878599709325635595', 'prec': 110}, 'conductor': 162240, 'gens': [], 'heights': [], 'lmfdb_label': '162240.ce3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.034202357447447950914463848784', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1889508766366688585256863222000513195', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[5599, 0, 1]], 'xcoord_integral_points': [5599]}
• lmfdb_label 162240.ce3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7249697
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [4]}
  • id: 7249696
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [2, 2]}
  • id: 7249698
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [4]}
  • id: 7249699
    {'degree': 4, 'field': [169, 0, 0, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [4, 4]}
  • id: 7249702
    {'degree': 8, 'field': [-24843, 0, 2782, 0, -546, 0, 0, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [6]}
  • id: 7249700
    {'degree': 8, 'field': [9, 0, -8, 0, 3, 0, -6, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [8]}
  • id: 7249701
    {'degree': 8, 'field': [9, 0, 8, 0, 3, 0, 6, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [8]}
  • id: 7249703
    {'degree': 16, 'field': [1, -8, 50, -144, 226, -136, -174, 340, -21, -380, 318, -28, -56, 0, 20, -8, 1], 'lmfdb_label': '162240.ce3', 'torsion': [4, 8]}
  • id: 7249704
    {'degree': 16, 'field': [62500, 0, -88400, 0, 56648, 0, -20688, 0, 6104, 0, -1320, 0, 332, 0, -32, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [4, 8]}
  • id: 7249705
    {'degree': 16, 'field': [793548900, 0, -279822600, 0, 30237300, 0, -501536, 0, 194732, 0, 7804, 0, -1064, 0, 8, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [2, 6]}
  • id: 7249706
    {'degree': 16, 'field': [5529409600, 0, -2819190400, 0, 181979200, 0, -6662656, 0, -2357888, 0, -24856, 0, 2236, 0, -52, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [12]}
  • id: 7249707
    {'degree': 16, 'field': [5809335961, 0, 3844934548, 0, -154715444, 0, 9674236, 0, 1557166, 0, -21476, 0, 2236, 0, 52, 0, 1], 'lmfdb_label': '162240.ce3', 'torsion': [12]}
• 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: 4014644
    {'conductor': 162240, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '162240.ce3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4014645
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '162240.ce3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4014646
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '162240.ce3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 4014647
    {'conductor': 162240, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '162240.ce3', 'prime': 13, '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: 2712737
    {'adelic_gens': [[417, 16, 216, 129], [5, 16, 64, 205], [1, 16, 0, 1], [479, 1024, 876, 975], [1025, 16, 1024, 17], [338, 717, 721, 326], [1, 12, 4, 49], [767, 908, 800, 763], [1, 0, 16, 1]], 'adelic_image': '1040.192.3.?', 'conductor': 162240, 'lmfdb_label': '162240.ce3', 'prime': 0}
  • id: 616797
    {'conductor': 162240, 'elladic_image': '8.48.0.6', 'lmfdb_label': '162240.ce3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162240.ce does not appear in ec_padic