Elliptic curve data - 176400.iu2

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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': '176400io', 'Clabel': '176400io1', 'Cnumber': 1, 'abc_quality': 0.8394167977331788, 'absD': 907748624664000000000, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 1680, 'ainvs': [0, 0, 0, 1819125, -1099743750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 176400, 'degree': 5898240, 'elladic_images': ['8.12.0.31'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7071863630202508183590581636', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 228, 'isogeny_degrees': [1, 2], 'jinv': [35937, 49], 'lmfdb_iso': '176400.iu', 'lmfdb_label': '176400.iu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 10, 12], 'min_quad_twist_disc': -420, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.v.1', '28.12.0.n.1', '30.6.0.a.1', '48.24.0.m.1', '56.24.0.ed.1', '60.12.0.bj.1', '80.24.0.?', '120.24.0.?', '240.48.0.?', '336.48.1.?', '420.24.0.?', '560.48.1.?', '840.48.1.?', '1680.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 735], [3, 2, 19600], [5, 14, 7056], [7, 32, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.98995354289400869310785375719', 'prec': 107}, 'szpiro_ratio': 4.566018673414273, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 0, 0, 0, -4, 2, 0, 0, -8, -4, 8, 4, -8, 12, -6, -8, -10, -8, -16, -12, 8, -16, -12, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 176400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '176400.iu', 'trace_hash': 1523573930119704655}
• 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': '0.0044521296420277045926462115448', 'prec': 110}, 'conductor': 176400, 'gens': [], 'heights': [], 'lmfdb_label': '176400.iu2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.083808655700561532063577737031', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.67046924560449225650862189624676247119', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[525, 0, 1]], 'xcoord_integral_points': [525]}
• lmfdb_label 176400.iu2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7814272
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '176400.iu2', 'torsion': [2, 2]}
  • id: 7814273
    {'degree': 4, 'field': [-119, -98, -6, -2, 1], 'lmfdb_label': '176400.iu2', 'torsion': [4]}
  • id: 7814276
    {'degree': 8, 'field': [-3675, 0, 4025, 0, -210, 0, 0, 0, 1], 'lmfdb_label': '176400.iu2', 'torsion': [6]}
  • id: 7814274
    {'degree': 8, 'field': [256, 268, -214, -116, 79, -28, 14, -4, 1], 'lmfdb_label': '176400.iu2', 'torsion': [2, 4]}
  • id: 7814275
    {'degree': 8, 'field': [3136, -3136, 1568, -280, 121, -50, 2, -2, 1], 'lmfdb_label': '176400.iu2', 'torsion': [2, 4]}
  • id: 7814277
    {'degree': 16, 'field': [576, 0, 4896, 0, 9780, 0, 744, 0, 1009, 0, 424, 0, 90, 0, 16, 0, 1], 'lmfdb_label': '176400.iu2', 'torsion': [4, 4]}
  • id: 7814278
    {'degree': 16, 'field': [2401, 2744, -4704, -20776, -19131, -4536, 4404, 9808, -4596, 648, -1356, 600, -43, -8, 0, 0, 1], 'lmfdb_label': '176400.iu2', 'torsion': [8]}
  • id: 7814279
    {'degree': 16, 'field': [26650401, -4570302, 87201669, 71940390, -5266617, -9694650, 1039471, 199282, -82992, 28202, 3611, -1470, -97, -10, 9, -2, 1], 'lmfdb_label': '176400.iu2', 'torsion': [2, 6]}
• 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: 4362956
    {'conductor': 176400, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '176400.iu2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4362957
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '176400.iu2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4362958
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '176400.iu2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4362959
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '176400.iu2', 'prime': 7, '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: 2799767
    {'adelic_gens': [[3, 28, 1604, 971], [1, 16, 0, 1], [11, 16, 1616, 1587], [1136, 5, 51, 16], [1205, 26, 1334, 1129], [13, 8, 8, 5], [1, 0, 16, 1], [1471, 16, 0, 1], [1665, 16, 1664, 17], [421, 16, 0, 1], [1016, 5, 387, 32]], 'adelic_image': '1680.96.3.?', 'conductor': 176400, 'lmfdb_label': '176400.iu2', 'prime': 0}
  • id: 662977
    {'conductor': 176400, 'elladic_image': '8.12.0.31', 'lmfdb_label': '176400.iu2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 176400.iu does not appear in ec_padic