Elliptic curve data - 177600.hd6

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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': '177600bp', 'Clabel': '177600bp6', 'Cnumber': 6, 'abc_quality': 1.0675015979740146, 'absD': 419528297989473730560000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 8880, 'ainvs': [0, 1, 0, 186359967, -110720339937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 177600, 'degree': 63700992, 'elladic_images': ['8.24.0.56'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7978323500564974799314477966', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 185, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [174751791402194852399, 102423900876336360], 'lmfdb_iso': '177600.hd', 'lmfdb_label': '177600.hd6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 116475, 1779507], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.10', '24.48.0-24.by.2.6', '40.48.0-40.bl.1.2', '120.96.0.?', '592.48.0.?', '1776.96.0.?', '2960.96.0.?', '8880.192.1.?'], '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': '1.9533926229995293285052199478', 'prec': 100}, 'szpiro_ratio': 5.6872284933276775, '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, 0, 0, 1, 0, 4, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 1, 0, 0, 4, -2, -2, 4, -8, 2, -8, 1, 10, -12, 0, 6, 4, 10, 4, -8, 6, 8, 4, 10, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 177600, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '177600.hd', 'trace_hash': 2134129358764941010}
• 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': '0.00050262575023564427187342358537', 'prec': 113}, 'conductor': 177600, 'gens': [], 'heights': [], 'lmfdb_label': '177600.hd6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.031237722734975751024978491303', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9988213825576720983979351651367614176', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[593, 0, 1]], 'xcoord_integral_points': [593]}
• lmfdb_label 177600.hd6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7867087
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [4]}
  • id: 7867088
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [4]}
  • id: 7867086
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [2, 2]}
  • id: 7867091
    {'degree': 4, 'field': [25, 0, -20, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [8]}
  • id: 7867090
    {'degree': 4, 'field': [25, 0, 0, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [2, 4]}
  • id: 7867092
    {'degree': 4, 'field': [100, 0, 10, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [8]}
  • id: 7867089
    {'degree': 4, 'field': [360, 0, 0, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [2, 4]}
  • id: 7867096
    {'degree': 8, 'field': [-43200, 0, 10440, 0, -720, 0, 0, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [6]}
  • id: 7867094
    {'degree': 8, 'field': [81, 0, 124, 0, -14, 0, 4, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [2, 8]}
  • id: 7867095
    {'degree': 8, 'field': [625, 0, 0, 0, -25, 0, 0, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [2, 8]}
  • id: 7867093
    {'degree': 8, 'field': [7921, 0, 1084, 0, -174, 0, 4, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [4, 4]}
  • id: 7867098
    {'degree': 16, 'field': [12321, 0, 25716, 0, 16810, 0, 3584, 0, -81, 0, -296, 0, 30, 0, -4, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [4, 8]}
  • id: 7867097
    {'degree': 16, 'field': [211600, 0, -278400, 0, 536800, 0, -105600, 0, 1320, 0, 2400, 0, 40, 0, 0, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [2, 8]}
  • id: 7867101
    {'degree': 16, 'field': [640000, 0, 2192000, 0, 745600, 0, 616800, 0, 87600, 0, 120, 0, -20, 0, 20, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [2, 6]}
  • id: 7867099
    {'degree': 16, 'field': [5429169, 31855284, 10902672, -229715892, -61901376, 101897184, -7717008, -4311516, 336865, -162320, 16828, 1156, 1402, 532, -92, -8, 1], 'lmfdb_label': '177600.hd6', 'torsion': [16]}
  • id: 7867103
    {'degree': 16, 'field': [7290000, 0, 0, 0, 731025, 0, 0, 0, 27000, 0, 0, 0, 360, 0, 0, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [12]}
  • id: 7867102
    {'degree': 16, 'field': [12425625, 0, -3316500, 0, 659100, 0, 23300, 0, -24850, 0, -3580, 0, -20, 0, -20, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [12]}
  • id: 7867100
    {'degree': 16, 'field': [293765888160000, 0, -9440491680000, 0, 182546460000, 0, -1826388000, 0, -485100, 0, 678600, 0, -3450, 0, -60, 0, 1], 'lmfdb_label': '177600.hd6', 'torsion': [16]}
• 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: 4394594
    {'conductor': 177600, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '177600.hd6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4394595
    {'conductor': 177600, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '177600.hd6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 4394596
    {'conductor': 177600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '177600.hd6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4394597
    {'conductor': 177600, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '177600.hd6', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2807874
    {'adelic_gens': [[7762, 2219, 1031, 4430], [1, 16, 0, 1], [3544, 8879, 1697, 8870], [5933, 16, 2704, 8565], [8401, 16, 5048, 129], [5, 4, 8876, 8877], [15, 2, 8782, 8867], [1, 0, 16, 1], [8865, 16, 8864, 17], [2204, 2219, 4281, 4430]], 'adelic_image': '8880.192.1.?', 'conductor': 177600, 'lmfdb_label': '177600.hd6', 'prime': 0}
  • id: 667648
    {'conductor': 177600, 'elladic_image': '8.24.0.56', 'lmfdb_label': '177600.hd6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 177600.hd does not appear in ec_padic