Elliptic curve data - 110670.cm5

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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': '110670cp2', 'Cnumber': 2, 'abc_quality': 1.014562548669828, 'absD': 268915325631261926400000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 177072, 'ainvs': [1, 0, 0, -2276760100, 41806588162832], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17, 31], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 110670, 'degree': 98566144, 'elladic_images': ['8.96.0.40'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0683305484885477117869497643', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 64, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1305195379419707692723460338574401, 268915325631261926400000000], 'lmfdb_iso': '110670.cm', 'lmfdb_label': '110670.cm5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2276760100, 41806588162832], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.l.2.2', '336.192.1.?', '816.192.2.?', '1488.192.2.?', '1904.192.2.?', '2108.48.0.?', '3472.192.2.?', '4216.192.1.?', '5712.384.5.?', '10416.384.5.?', '25296.384.5.?', '59024.384.5.?', '177072.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 14, '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': '4.0683305484885477117869497643', 'prec': 100}, 'szpiro_ratio': 6.56532100698919, 'torsion': 16, 'torsion_primes': [2], 'torsion_structure': [2, 8]}
• 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': '0.00029261257399474331682440206981', 'prec': 113}, 'conductor': 110670, 'gens': [], 'heights': [], 'lmfdb_label': '110670.cm5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.053552206489880490600271794593', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8546824307047027968347897078939887998', 'prec': 130}, 'tamagawa_product': 32768, 'torsion_generators': [[-55096, 27548, 1], [28604, 278648, 1]], 'xcoord_integral_points': [-55096, -9196, 20792, 26504, 27848, 28604, 34904, 93704]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [14, 0], '3': [1, 0], '5': [1, 0], '7': [5, 0], '17': [1, 0], '31': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '110670.cm5'}
• ec_torsion_growth •

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

  
  
  • id: 5094338
    {'degree': 4, 'field': [-12, 102, -41, -1, 1], 'lmfdb_label': '110670.cm5', 'torsion': [2, 16]}
  • id: 5094337
    {'degree': 4, 'field': [324, 0, -15, 0, 1], 'lmfdb_label': '110670.cm5', 'torsion': [2, 16]}
  • id: 5094336
    {'degree': 4, 'field': [17424, 0, -263, 0, 1], 'lmfdb_label': '110670.cm5', 'torsion': [4, 8]}
  • id: 5094339
    {'degree': 8, 'field': [-531723, 0, -69208, 0, -2526, 0, 0, 0, 1], 'lmfdb_label': '110670.cm5', 'torsion': [2, 24]}
  • id: 5094340
    {'degree': 16, 'field': [341436484, -68146864, 6800672, 10683544, -3861816, -1475720, 538600, -371812, 55525, 24796, -8408, 3068, -414, -76, 32, -8, 1], 'lmfdb_label': '110670.cm5', 'torsion': [8, 8]}
  • id: 5094342
    {'degree': 16, 'field': [494372109456, 0, -24893845272, 0, -903338399, 0, 71354760, 0, 763632, 0, -90910, 0, -264, 0, 72, 0, 1], 'lmfdb_label': '110670.cm5', 'torsion': [4, 16]}
  • id: 5094344
    {'degree': 16, 'field': [46587347641368576, 0, -513710236793069568, 0, 12812528783738880, 0, -123791600274048, 0, 624250722384, 0, -1800856152, 0, 2997480, 0, -2682, 0, 1], 'lmfdb_label': '110670.cm5', 'torsion': [2, 32]}
  • id: 5094341
    {'degree': 16, 'field': [120928604736393216, 0, 0, 0, -179071432815744, 0, 0, 0, 415642198689, 0, 0, 0, 1357794, 0, 0, 0, 1], 'lmfdb_label': '110670.cm5', 'torsion': [4, 16]}
  • id: 5094343
    {'degree': 16, 'field': [193762052641344696336, 0, 629698750982292456, 0, 2193938479452069, 0, 25519546966914, 0, 74402321175, 0, -80431596, 0, -449421, 0, 66, 0, 1], 'lmfdb_label': '110670.cm5', 'torsion': [2, 32]}
• 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: 2720462
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '110670.cm5', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 2720463
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '110670.cm5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 2720464
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '110670.cm5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 2720465
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '110670.cm5', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 2720466
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '110670.cm5', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2720467
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '110670.cm5', '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: 2388787
    {'adelic_gens': [[118049, 8, 0, 1], [1, 16, 0, 1], [57129, 16, 11618, 345], [177057, 16, 177056, 17], [15, 16, 224, 66641], [126489, 8, 50548, 177033], [5, 16, 4, 132817], [1, 0, 16, 1], [31249, 16, 10422, 97], [1, 16, 4, 65]], 'adelic_image': '177072.768.13.?', 'conductor': 110670, 'lmfdb_label': '110670.cm5', 'prime': 0}
  • id: 439150
    {'conductor': 110670, 'elladic_image': '8.96.0.40', 'lmfdb_label': '110670.cm5', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 110670.cm does not appear in ec_padic