Elliptic curve data - 162240.db2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '162240cq', 'Clabel': '162240cq4', 'Cnumber': 4, 'abc_quality': 0.9796848210169614, 'absD': 77105377689600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -9139745, -10623846975], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 162240, 'degree': 8257536, 'elladic_images': ['8.24.0.93'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7396951308898891612863480989', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [66730743078481, 60937500], 'lmfdb_iso': '162240.db', 'lmfdb_label': '162240.db2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -845, 9095], 'min_quad_twist_disc': -104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '24.48.0-24.by.1.4', '80.48.0.?', '104.48.0.?', '156.12.0.?', '240.96.0.?', '312.96.0.?', '1040.96.0.?', '3120.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4485161451141959691003018778', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 507], [3, 4, 54080], [5, 6, 32448], [13, 98, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41749968131920282913375619593', 'prec': 103}, 'szpiro_ratio': 4.976149726551914, '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, 0, 0, 1, 0, -4, 0, 0, 0, -1, 0, -6, 0, -4, 0], 'aplist': [0, -1, 1, 0, -4, 0, -6, -4, -8, -6, -8, -10, 6, 4, 0, 10, -4, 2, 12, 16, -2, 16, 12, -10, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 162240, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '162240.db', 'trace_hash': 733030097502508547}
• 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': '0.0041718726727693294532996375980', 'prec': 110}, 'conductor': 162240, 'gens': [[65815, 16866200, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.4485161451141959691003018778', 'prec': 100}], 'lmfdb_label': '162240.db2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.086834006593341993208693064267', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7849318949502111443026656543178277792', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-1785, 0, 1]], 'xcoord_integral_points': [-1785, 65815]}
• lmfdb_label 162240.db2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7247547
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [2, 2]}
  • id: 7247548
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [4]}
  • id: 7247549
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [4]}
  • id: 7247550
    {'degree': 4, 'field': [25, 0, 16, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [2, 4]}
  • id: 7247551
    {'degree': 4, 'field': [64, 0, 10, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [8]}
  • id: 7247552
    {'degree': 4, 'field': [169, 0, 0, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [8]}
  • id: 7247556
    {'degree': 8, 'field': [-1370928, 0, 125632, 0, -4056, 0, 0, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [6]}
  • id: 7247555
    {'degree': 8, 'field': [256, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [2, 8]}
  • id: 7247553
    {'degree': 8, 'field': [1225, 0, -656, 0, 63, 0, -8, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [2, 4]}
  • id: 7247554
    {'degree': 8, 'field': [8100, 0, -1566, 0, 189, 0, 6, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [8]}
  • id: 7247557
    {'degree': 16, 'field': [240100, -301840, 189728, -167832, 177104, -100280, 44776, -21444, -707, 3180, -536, 284, 2, -60, 32, -8, 1], 'lmfdb_label': '162240.db2', 'torsion': [4, 8]}
  • id: 7247558
    {'degree': 16, 'field': [331776, 0, 0, 0, -31104, 0, 0, 0, 10656, 0, 0, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [16]}
  • id: 7247560
    {'degree': 16, 'field': [3515625, 0, -697891200, 0, -124477700, 0, -6470400, 0, -101058, 0, -16768, 0, -1236, 0, 0, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [2, 6]}
  • id: 7247561
    {'degree': 16, 'field': [78588225, 0, -29514900, 0, 4485700, 0, -235164, 0, -3258, 0, 5636, 0, -444, 0, 12, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [12]}
  • id: 7247559
    {'degree': 16, 'field': [107640625, 0, 630830000, 0, 382018600, 0, 89977320, 0, 10158686, 0, 581936, 0, 16616, 0, 216, 0, 1], 'lmfdb_label': '162240.db2', 'torsion': [16]}
  • id: 7247562
    {'degree': 16, 'field': [731161600, 0, 224972800, 0, 17305600, 0, 4850976, 0, 210912, 0, 25896, 0, 676, 0, 52, 0, 1], 'lmfdb_label': '162240.db2', '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: 4013752
    {'conductor': 162240, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '162240.db2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4013753
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '162240.db2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4013754
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '162240.db2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 4013755
    {'conductor': 162240, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '162240.db2', 'prime': 13, '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: 2712776
    {'adelic_gens': [[1048, 1, 2159, 10], [1, 16, 0, 1], [15, 2, 3022, 3107], [2497, 16, 1256, 129], [5, 4, 3116, 3117], [1, 0, 16, 1], [1942, 2329, 1253, 1674], [3105, 16, 3104, 17], [3107, 3104, 516, 455], [1424, 3115, 285, 14]], 'adelic_image': '3120.192.1.?', 'conductor': 162240, 'lmfdb_label': '162240.db2', 'prime': 0}
  • id: 616829
    {'conductor': 162240, 'elladic_image': '8.24.0.93', 'lmfdb_label': '162240.db2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162240.db does not appear in ec_padic