Elliptic curve data - 166410.i1

Formats: - HTML - YAML - JSON - 2024-06-07T21:56:56.575329

• 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': '166410cu', 'Clabel': '166410cu2', 'Cnumber': 2, 'abc_quality': 1.0174386548779277, 'absD': 63116281499045400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1032, 'ainvs': [1, -1, 0, -18252750, -27469187500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 166410, 'degree': 17031168, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1132501000456342601776834732', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [3940344055317123, 369800000000], 'lmfdb_iso': '166410.i', 'lmfdb_label': '166410.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -88845, -9307675], 'min_quad_twist_disc': 129, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '344.6.0.?', '516.6.0.?', '1032.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95799697003182562559245090730', 'prec': 103}, 'szpiro_ratio': 5.138246836751196, '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, -1, 0, 1, -1, 0, 2, -1, 0, 1, -2, 0, 2, -2, 0, 1, 0, 0, 8, -1], 'aplist': [-1, 0, -1, 2, -2, 2, 0, 8, -8, -2, 0, 8, -8, 0, 0, 2, 6, -8, 12, 0, 2, -12, -18, -6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 166410, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '166410.i', 'trace_hash': 129421408238578727}
• 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': '0.0019763566598047554222366424120', 'prec': 110}, 'conductor': 166410, 'gens': [], 'heights': [], 'lmfdb_label': '166410.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.073480616481116074971947249780', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1756898636978571995511559964746396710', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-12125, 12125, 2]], 'xcoord_integral_points': []}
• lmfdb_label 166410.i1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7418271
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '166410.i1', 'torsion': [2, 2]}
  • id: 7418272
    {'degree': 4, 'field': [150, 0, 27, 0, 1], 'lmfdb_label': '166410.i1', 'torsion': [4]}
  • id: 7418275
    {'degree': 8, 'field': [-192, -1164, 330, -1371, 303, -243, 27, -3, 1], 'lmfdb_label': '166410.i1', 'torsion': [6]}
  • id: 7418273
    {'degree': 8, 'field': [3364, 0, -980, 0, 261, 0, -8, 0, 1], 'lmfdb_label': '166410.i1', 'torsion': [2, 4]}
  • id: 7418274
    {'degree': 8, 'field': [310987, 13996, -49666, -248, 3931, 176, -106, -4, 1], 'lmfdb_label': '166410.i1', 'torsion': [2, 4]}
  • id: 7418277
    {'degree': 16, 'field': [-1724491800, 553762080, 591608556, -151155144, -105972822, 21365784, 11481525, -1724526, -834315, 109164, 42537, -10554, 1803, -396, 15, -6, 1], 'lmfdb_label': '166410.i1', 'torsion': [2, 6]}
  • id: 7418276
    {'degree': 16, 'field': [3232804, 0, -1987432, 0, 1897682, 0, -490396, 0, 40153, 0, 334, 0, -76, 0, -14, 0, 1], 'lmfdb_label': '166410.i1', 'torsion': [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: 4119132
    {'conductor': 166410, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '166410.i1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4119133
    {'conductor': 166410, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '166410.i1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4119134
    {'conductor': 166410, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '166410.i1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4119135
    {'conductor': 166410, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '166410.i1', 'prime': 43, '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: 2739170
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 515, 0], [692, 1, 343, 0], [388, 649, 129, 904], [433, 4, 866, 9], [1029, 4, 1028, 5]], 'adelic_image': '1032.12.0.?', 'conductor': 166410, 'lmfdb_label': '166410.i1', 'prime': 0}
  • id: 630709
    {'conductor': 166410, 'elladic_image': '2.3.0.1', 'lmfdb_label': '166410.i1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 166410.i does not appear in ec_padic