Elliptic curve data - 176400.tf2

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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': '176400cq', 'Clabel': '176400cq1', 'Cnumber': 1, 'abc_quality': 1.029908311854535, 'absD': 231568526700000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 84, 'ainvs': [0, 0, 0, -147000, 31727500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 176400, 'degree': 2177280, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0328908916761856781717564901', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 499, 'isogeny_degrees': [1, 3], 'jinv': [-40960, 27], 'lmfdb_iso': '176400.tf', 'lmfdb_label': '176400.tf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13, -23], 'min_quad_twist_disc': -420, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.24.0.c.1', '84.48.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1798751067861024017852378788', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 2, 19600], [5, 14, 7056], [7, 26, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0244270558482229427572034699', 'prec': 103}, 'szpiro_ratio': 3.9790155032034504, '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, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -5, 0, 0, 0, -6, 0, 5, 0], 'aplist': [0, 0, 0, 0, 6, -5, -6, 5, -6, 6, -1, 2, 0, 1, -6, 12, 6, 13, -11, 0, -2, -8, 6, 0, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 176400, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '176400.tf', 'trace_hash': 1086067440770547346}
• 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': '0.017149576777827713763415268619', 'prec': 107}, 'conductor': 176400, 'gens': [[50, 4950, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1798751067861024017852378788', 'prec': 100}], 'lmfdb_label': '176400.tf2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28965582932215281834930220038', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5769623824981391140234776927018142727', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [50]}
• lmfdb_label 176400.tf2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7811143
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '176400.tf2', 'torsion': [3]}
  • id: 7811144
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '176400.tf2', 'torsion': [2]}
  • id: 7811146
    {'degree': 6, 'field': [-54, -72, 96, 2, 26, -2, 1], 'lmfdb_label': '176400.tf2', 'torsion': [6]}
  • id: 7811145
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '176400.tf2', 'torsion': [2, 2]}
  • id: 7811147
    {'degree': 6, 'field': [1029, 0, 343, 0, 7, 0, 1], 'lmfdb_label': '176400.tf2', 'torsion': [6]}
  • id: 7811148
    {'degree': 12, 'field': [-894, -840, -1916, -30872, 5910, 3668, 1388, -912, -46, 14, 12, -2, 1], 'lmfdb_label': '176400.tf2', 'torsion': [4]}
  • id: 7811149
    {'degree': 12, 'field': [88209, 89100, -53637, -64626, 17230, 16272, -2497, -2274, 282, 180, -25, -6, 1], 'lmfdb_label': '176400.tf2', 'torsion': [6, 6]}
  • id: 7811150
    {'degree': 18, 'field': [1050243667281, -626478245568, 539744855049, -193155723846, 99812510091, -25761852522, 10241220618, -1996341498, 676873422, -99803754, 30268719, -3325320, 913987, -72924, 17889, -974, 204, -6, 1], 'lmfdb_label': '176400.tf2', '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: 4361720
    {'conductor': 176400, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '176400.tf2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4361721
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '176400.tf2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4361722
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '176400.tf2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4361723
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '176400.tf2', 'prime': 7, '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: 2800252
    {'adelic_gens': [[27, 56, 35, 27], [55, 42, 42, 55], [1, 6, 0, 1], [1, 0, 6, 1], [79, 6, 78, 7], [83, 42, 0, 41], [41, 0, 0, 83], [2, 5, 1, 3], [11, 0, 0, 83]], 'adelic_image': '84.48.0.?', 'conductor': 176400, 'lmfdb_label': '176400.tf2', 'prime': 0}
  • id: 663449
    {'conductor': 176400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '176400.tf2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 176400.tf does not appear in ec_padic