Elliptic curve data - 174240.dk3

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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': '174240cr', 'Clabel': '174240cr1', 'Cnumber': 1, 'abc_quality': 1.0653400939100561, 'absD': 18597138753600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -6897, -74536], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 174240, 'degree': 327680, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2384123253701705587217956889', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 88, 'isogeny_degrees': [1, 2], 'jinv': [438976, 225], 'lmfdb_iso': '174240.dk', 'lmfdb_label': '174240.dk3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6, 0], 'min_quad_twist_disc': 33, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '40.12.0.a.1', '44.12.0-2.a.1.1', '60.12.0.a.1', '120.24.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 19360], [5, 6, 34848], [11, 62, 1440]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85641504564304221371541477927', 'prec': 107}, 'szpiro_ratio': 3.1595568041222335, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 8, 0], 'aplist': [0, 0, 1, 0, 0, -2, -2, 8, 4, -6, 0, 2, -6, 4, -12, 6, 12, -14, 12, 0, -2, -8, 4, -2, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 174240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '174240.dk', 'trace_hash': 1111698591999407998}
• 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': '0.084009562213692706313821252522', 'prec': 107}, 'conductor': 174240, 'gens': [], 'heights': [], 'lmfdb_label': '174240.dk3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.55351878157303785093115548448', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2140751262921514037246219379003926606', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-11, 0, 1], [88, 0, 1]], 'xcoord_integral_points': [-77, -11, 88]}
• lmfdb_label 174240.dk3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7729456
    {'degree': 4, 'field': [1, 0, -13, 0, 1], 'lmfdb_label': '174240.dk3', 'torsion': [2, 4]}
  • id: 7729455
    {'degree': 4, 'field': [15, -18, 19, -2, 1], 'lmfdb_label': '174240.dk3', 'torsion': [2, 4]}
  • id: 7729457
    {'degree': 4, 'field': [361, 0, 28, 0, 1], 'lmfdb_label': '174240.dk3', 'torsion': [2, 4]}
  • id: 7729458
    {'degree': 8, 'field': [-133487, -33916, 7780, 2188, 1262, -188, 4, -4, 1], 'lmfdb_label': '174240.dk3', 'torsion': [2, 6]}
  • id: 7729461
    {'degree': 16, 'field': [-235199, 1911360, -3395460, -1167360, 2893366, -314880, -393480, -94080, 122871, -2880, -12000, -960, 1426, 0, -60, 0, 1], 'lmfdb_label': '174240.dk3', 'torsion': [2, 8]}
  • id: 7729459
    {'degree': 16, 'field': [4225, -28600, 86950, -138460, 131264, -97384, 75642, -47668, 27053, -13112, 6006, -2324, 812, -224, 52, -8, 1], 'lmfdb_label': '174240.dk3', 'torsion': [4, 4]}
  • id: 7729460
    {'degree': 16, 'field': [177585, -139920, 156252, -18600, -28790, 53320, -28480, 4560, 6163, -7384, 4240, -1840, 610, -168, 44, -8, 1], 'lmfdb_label': '174240.dk3', 'torsion': [2, 8]}
  • id: 7729462
    {'degree': 16, 'field': [19940264100, 0, 6870096000, 0, 1054645920, 0, 93059280, 0, 5230836, 0, 201024, 0, 5536, 0, 104, 0, 1], 'lmfdb_label': '174240.dk3', 'torsion': [2, 8]}
• 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: 4310772
    {'conductor': 174240, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '174240.dk3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4310773
    {'conductor': 174240, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '174240.dk3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4310774
    {'conductor': 174240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '174240.dk3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4310775
    {'conductor': 174240, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '174240.dk3', 'prime': 11, '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: 2786898
    {'adelic_gens': [[1, 0, 4, 1], [991, 484, 902, 969], [661, 242, 0, 1], [1, 4, 0, 1], [119, 0, 0, 1319], [1077, 1078, 682, 241], [1317, 4, 1316, 5], [1057, 484, 1034, 969]], 'adelic_image': '1320.48.0.?', 'conductor': 174240, 'lmfdb_label': '174240.dk3', 'prime': 0}
  • id: 656137
    {'conductor': 174240, 'elladic_image': '2.6.0.1', 'lmfdb_label': '174240.dk3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 174240.dk does not appear in ec_padic