Elliptic curve data - 162240.fw1

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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': '162240bt', 'Clabel': '162240bt1', 'Cnumber': 1, 'abc_quality': 0.9704956863834545, 'absD': 243936741289033728000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -9177601, -10730841601], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 162240, 'degree': 7547904, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7835872063119021806070228583', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 152, 'isogeny_degrees': [1, 3], 'jinv': [-2365581049, 6750], 'lmfdb_iso': '162240.fw', 'lmfdb_label': '162240.fw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -849, 9466], 'min_quad_twist_disc': -104, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '120.8.0.?', '312.8.0.?', '780.8.0.?', '1560.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.712972385836736149748726087', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2535], [3, 4, 10816], [5, 6, 32448], [13, 50, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39359136241262973023006485852', 'prec': 107}, 'szpiro_ratio': 4.977593329595592, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 2, 0, 1, 0, 3, 0, 0, 0, -1, 0, 6, 0, -2, 0], 'aplist': [0, 1, -1, 2, 3, 0, 6, -2, -3, -3, 5, -7, -6, -1, -3, 6, 9, -2, -8, -12, -14, -5, 6, 18, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 162240, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '162240.fw', 'trace_hash': 792859615153961212}
• 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': '0.0038212625036679514602906266557', 'prec': 110}, 'conductor': 162240, 'gens': [[3153835495, 174364342431072, 421]], 'heights': [{'__RealLiteral__': 0, 'data': '19.712972385836736149748726087', 'prec': 100}], 'lmfdb_label': '162240.fw1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.043362373144226749609649292084', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.257615172517884828583926516564190469', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 162240.fw1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7247152
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '162240.fw1', 'torsion': [3]}
  • id: 7247153
    {'degree': 3, 'field': [51, 9, -1, 1], 'lmfdb_label': '162240.fw1', 'torsion': [2]}
  • id: 7247155
    {'degree': 6, 'field': [-702, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '162240.fw1', 'torsion': [3]}
  • id: 7247156
    {'degree': 6, 'field': [2835, -2202, 421, 136, -33, -2, 1], 'lmfdb_label': '162240.fw1', 'torsion': [6]}
  • id: 7247154
    {'degree': 6, 'field': [4896, -4272, 1618, -224, 3, -2, 1], 'lmfdb_label': '162240.fw1', 'torsion': [2, 2]}
  • id: 7247158
    {'degree': 12, 'field': [729, -162, -369, 990, -300, -282, 193, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '162240.fw1', 'torsion': [3, 3]}
  • id: 7247159
    {'degree': 12, 'field': [1052676, 0, 166536, 0, 294660, 0, 111300, 0, 6385, 0, 136, 0, 1], 'lmfdb_label': '162240.fw1', 'torsion': [2, 6]}
  • id: 7247157
    {'degree': 12, 'field': [9838908, -9771408, -594936, 1943280, -287076, -108840, 69148, -11320, -329, 40, 16, -4, 1], 'lmfdb_label': '162240.fw1', 'torsion': [4]}
  • id: 7247161
    {'degree': 18, 'field': [1277964, 3124152, 5039796, 3835296, 805936, -1093704, -1221466, -671152, -192636, -12404, 12456, 14088, 6876, 1252, -6, -64, -16, 0, 1], 'lmfdb_label': '162240.fw1', 'torsion': [6]}
  • id: 7247160
    {'degree': 18, 'field': [820025856, 0, 0, 0, 0, 0, 80698176, 0, 9929088, 0, -1289808, 0, -3328, 0, 156, 0, 78, 0, 1], 'lmfdb_label': '162240.fw1', 'torsion': [9]}
• 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: 4013576
    {'conductor': 162240, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '162240.fw1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4013577
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '162240.fw1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4013578
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '162240.fw1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4013579
    {'conductor': 162240, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '162240.fw1', 'prime': 13, 'reduction_type': 0, '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: 2712953
    {'adelic_gens': [[4, 3, 9, 7], [1169, 234, 0, 1559], [1555, 6, 1554, 7], [479, 0, 0, 1559], [937, 1326, 1131, 859], [1, 6, 0, 1], [3, 4, 8, 11], [779, 234, 897, 701], [846, 481, 403, 534], [1, 0, 6, 1]], 'adelic_image': '1560.16.0.?', 'conductor': 162240, 'lmfdb_label': '162240.fw1', 'prime': 0}
  • id: 616991
    {'conductor': 162240, 'elladic_image': '3.4.0.1', 'lmfdb_label': '162240.fw1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 162240.fw does not appear in ec_padic