Elliptic curve data - 110670.cm4

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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': '110670cp', 'Clabel': '110670cp3', 'Cnumber': 3, 'abc_quality': 1.0208830799951816, 'absD': 585975791707934414062500000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 177072, 'ainvs': [1, 0, 0, -2525695780, 32101233232400], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17, 31], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 110670, 'degree': 197132288, 'elladic_images': ['8.96.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4149041387685203664955658251', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2, 4], 'jinv': [1781832302709884421209712638637121, 585975791707934414062500000000], 'lmfdb_iso': '110670.cm', 'lmfdb_label': '110670.cm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2525695780, 32101233232400], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.48.0-4.b.1.1', '8.96.0-8.c.1.1', '168.192.1.?', '816.192.2.?', '1488.192.2.?', '1904.192.2.?', '3472.192.2.?', '4216.192.1.?', '5712.384.5.?', '10416.384.5.?', '25296.384.5.?', '59024.384.5.?', '88536.384.5.?', '177072.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 36890], [5, 6, 22134], [7, 8, 15810], [17, 18, 6510], [31, 32, 3570]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.4149041387685203664955658251', 'prec': 100}, 'szpiro_ratio': 6.592123247008471, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
• 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, 1, 1, 1, 1, 1, 1, 1, 1, -4, 1, -2, 1, 1, 1, 1, 1, 4, 1], 'aplist': [1, 1, 1, 1, -4, -2, 1, 4, 8, -2, -1, 6, 10, -4, 0, 6, 12, -2, 4, -8, 10, 0, -12, -6, -14], 'class_deg': 16, 'class_size': 8, 'conductor': 110670, 'isogeny_matrix': [[1, 16, 2, 4, 8, 16, 4, 8], [16, 1, 8, 4, 2, 4, 16, 8], [2, 8, 1, 2, 4, 8, 2, 4], [4, 4, 2, 1, 2, 4, 4, 2], [8, 2, 4, 2, 1, 2, 8, 4], [16, 4, 8, 4, 2, 1, 16, 8], [4, 16, 2, 4, 8, 16, 1, 8], [8, 8, 4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '110670.cm', 'trace_hash': 2030220627107999368}
• 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': '0.00014630628699737165841220103491', 'prec': 113}, 'conductor': 110670, 'gens': [], 'heights': [], 'lmfdb_label': '110670.cm4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.026776103244940245300135897296', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8546824307047027968347897078939887998', 'prec': 130}, 'tamagawa_product': 16384, 'torsion_generators': [[13736, -6868, 1], [94460, 25179020, 1]], 'xcoord_integral_points': [-10540, 13736, 41960, 94460]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [14, 1], '3': [1, 0], '5': [1, 0], '7': [5, 0], '17': [1, 0], '31': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '110670.cm4'}
• ec_torsion_growth •

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

  
  
  • id: 5094347
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '110670.cm4', 'torsion': [2, 8]}
  • id: 5094345
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '110670.cm4', 'torsion': [4, 4]}
  • id: 5094346
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '110670.cm4', 'torsion': [2, 8]}
  • id: 5094348
    {'degree': 4, 'field': [25, 0, 11, 0, 1], 'lmfdb_label': '110670.cm4', 'torsion': [4, 8]}
  • id: 5094353
    {'degree': 8, 'field': [-531723, 0, -69208, 0, -2526, 0, 0, 0, 1], 'lmfdb_label': '110670.cm4', 'torsion': [2, 12]}
  • id: 5094351
    {'degree': 8, 'field': [26350, 7004, -6056, -1846, 799, 146, -44, -4, 1], 'lmfdb_label': '110670.cm4', 'torsion': [2, 16]}
  • id: 5094352
    {'degree': 8, 'field': [105900, -61920, 14496, -3132, -773, 370, -81, -2, 1], 'lmfdb_label': '110670.cm4', 'torsion': [2, 16]}
  • id: 5094349
    {'degree': 8, 'field': [303595776, 0, 0, 0, 34321, 0, 0, 0, 1], 'lmfdb_label': '110670.cm4', 'torsion': [4, 8]}
  • id: 5094350
    {'degree': 8, 'field': [318925818, -8503092, 8608518, -211380, 107011, -1588, 534, -4, 1], 'lmfdb_label': '110670.cm4', 'torsion': [4, 8]}
  • id: 5094358
    {'degree': 16, 'field': [4665600, 0, -42086400, 0, 31187200, 0, 3904235904, 0, 94593312, 0, 592384, 0, 7296, 0, 168, 0, 1], 'lmfdb_label': '110670.cm4', 'torsion': [2, 24]}
  • id: 5094356
    {'degree': 16, 'field': [14912500, 4039000, 31452000, 35651480, 20863632, 11570640, 5096992, 1640864, 503985, 139138, 29854, 4590, 2187, -98, 84, -4, 1], 'lmfdb_label': '110670.cm4', 'torsion': [4, 16]}
  • id: 5094357
    {'degree': 16, 'field': [844774225, 466202600, 128640800, -35419120, 10005780, 6318740, 2705952, -896008, 129586, 20064, 20488, -7816, 1424, -84, 32, -8, 1], 'lmfdb_label': '110670.cm4', 'torsion': [4, 12]}
  • id: 5094355
    {'degree': 16, 'field': [2719604925, -3374955540, 1919036052, -485934372, 153882519, -165887736, 97459698, -19022484, -3837440, 2047580, -93632, -69076, 8407, 896, -158, -4, 1], 'lmfdb_label': '110670.cm4', 'torsion': [4, 16]}
  • id: 5094359
    {'degree': 16, 'field': [951690078693, -91389080376, 96447502656, -10207046040, 5327063922, -262547208, 77390140, 9937744, -4088757, 1118072, -272692, 27456, -5122, 224, -12, -8, 1], 'lmfdb_label': '110670.cm4', 'torsion': [2, 24]}
  • id: 5094354
    {'degree': 16, 'field': [92912083321509433, 697852948020536, -5551952370253710, -24453110333080, 146411498053852, 331140089852, -2216901440606, -2012989352, 21026527029, 3823204, -127717618, 11528, 484852, -44, -1052, 0, 1], 'lmfdb_label': '110670.cm4', 'torsion': [8, 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: 2720468
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '110670.cm4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 2720469
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110670.cm4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2720470
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '110670.cm4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 2720471
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110670.cm4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2720472
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110670.cm4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2720473
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110670.cm4', 'prime': 31, 'reduction_type': -1, '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: 2388786
    {'adelic_gens': [[126489, 4, 101096, 177033], [1, 16, 0, 1], [1, 8, 0, 1], [1, 16, 8, 129], [154949, 16, 177008, 110577], [45697, 8, 5716, 33], [104169, 16, 9980, 176297], [177057, 16, 177056, 17], [110671, 12, 0, 1], [1, 0, 16, 1], [118049, 12, 0, 1]], 'adelic_image': '177072.768.13.?', 'conductor': 110670, 'lmfdb_label': '110670.cm4', 'prime': 0}
  • id: 439149
    {'conductor': 110670, 'elladic_image': '8.96.0.2', 'lmfdb_label': '110670.cm4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 110670.cm does not appear in ec_padic