Elliptic curve data - 363888.dq1

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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': '363888dq', 'Clabel': '363888dq4', 'Cnumber': 4, 'abc_quality': 1.0038346664696574, 'absD': 62281318077191915347968, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 0, 0, -943588659, -11156344865678], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363888, 'degree': 88473600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6899745768444824960085279199', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 94, 'isogeny_degrees': [1, 2, 4], 'jinv': [661397832743623417, 443352042], 'lmfdb_iso': '363888.dq', 'lmfdb_label': '363888.dq1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -18152, 939764], 'min_quad_twist_disc': -228, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '56.12.0-4.c.1.6', '76.12.0.?', '168.24.0.?', '456.24.0.?', '1064.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 22743], [3, 8, 40432], [7, 8, 51984], [19, 200, 1008]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97530176236726211088915946404', 'prec': 103}, 'szpiro_ratio': 5.748652640790041, '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, 2, 0, -1, 0, 0, 0, -4, 0, 2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 2, -1, -4, 2, 2, 0, -4, 2, 4, 6, -10, 4, -8, 10, -12, -2, -8, 16, 10, -8, 0, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 363888, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '363888.dq', 'trace_hash': 23261230704169827}
• 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': '0.00062363259461018174260196057396', 'prec': 113}, 'conductor': 363888, 'gens': [], 'heights': [], 'lmfdb_label': '363888.dq1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.027239798711371138383672382327', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7433471175277528565550324689411235059', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-17746, 0, 1]], 'xcoord_integral_points': [-17746]}
• lmfdb_label 363888.dq1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15128498
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '363888.dq1', 'torsion': [2, 2]}
  • id: 15128500
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '363888.dq1', 'torsion': [4]}
  • id: 15128499
    {'degree': 2, 'field': [798, 0, 1], 'lmfdb_label': '363888.dq1', 'torsion': [4]}
  • id: 15128501
    {'degree': 4, 'field': [2167, 74, -73, -2, 1], 'lmfdb_label': '363888.dq1', 'torsion': [2, 4]}
  • id: 15128502
    {'degree': 8, 'field': [289, 0, -113620, 0, 1410, 0, -76, 0, 1], 'lmfdb_label': '363888.dq1', 'torsion': [2, 4]}
  • id: 15128504
    {'degree': 8, 'field': [1764, 0, 630, 0, 183, 0, 15, 0, 1], 'lmfdb_label': '363888.dq1', 'torsion': [8]}
  • id: 15128505
    {'degree': 8, 'field': [4402368, -3377616, 910902, -131148, 16548, -1470, 6, -2, 1], 'lmfdb_label': '363888.dq1', 'torsion': [6]}
  • id: 15128503
    {'degree': 8, 'field': [9455625, 0, -712932, 0, 20074, 0, -236, 0, 1], 'lmfdb_label': '363888.dq1', 'torsion': [8]}
  • id: 15128507
    {'degree': 16, 'field': [636804, 1273608, 1328670, 1058148, 834681, 838932, 593916, 212676, -37994, -68200, 1282, 1688, 1108, -124, -20, -4, 1], 'lmfdb_label': '363888.dq1', 'torsion': [2, 8]}
  • id: 15128511
    {'degree': 16, 'field': [2836333069, 103560872, -85972576, -40074984, 32312186, -14834648, 5193484, -359424, 271075, -118488, 21964, 176, 638, -336, 68, -8, 1], 'lmfdb_label': '363888.dq1', 'torsion': [12]}
  • id: 15128506
    {'degree': 16, 'field': [17368867681, 0, -5082061860, 0, 351612166, 0, 20298816, 0, 1635063, 0, -19224, 0, -926, 0, -36, 0, 1], 'lmfdb_label': '363888.dq1', 'torsion': [4, 4]}
  • id: 15128508
    {'degree': 16, 'field': [1032010142641, 0, 214958483408, 0, 18752096944, 0, 988974392, 0, 37842574, 0, 1032752, 0, 18592, 0, 200, 0, 1], 'lmfdb_label': '363888.dq1', 'torsion': [2, 8]}
  • id: 15128509
    {'degree': 16, 'field': [2318837609529, 0, 39249776748, 0, 2668039612, 0, -244846140, 0, -1722546, 0, -304892, 0, -2100, 0, -84, 0, 1], 'lmfdb_label': '363888.dq1', 'torsion': [2, 6]}
  • id: 15128510
    {'degree': 16, 'field': [6696646732944, 0, 906765238176, 0, 27427150240, 0, 1552359984, 0, 54572868, 0, 2730308, 0, 29085, 0, 588, 0, 1], 'lmfdb_label': '363888.dq1', 'torsion': [12]}
• 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: 9002727
    {'conductor': 363888, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '363888.dq1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9002728
    {'conductor': 363888, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '363888.dq1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9002729
    {'conductor': 363888, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363888.dq1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9002730
    {'conductor': 363888, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '363888.dq1', 'prime': 19, '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: 3930543
    {'adelic_gens': [[3185, 8, 3184, 9], [1, 0, 8, 1], [1200, 2801, 1987, 1974], [1, 8, 0, 1], [1, 4, 4, 17], [1189, 1196, 1150, 2787], [2120, 3189, 2123, 3190], [2183, 3184, 2348, 3159], [460, 1, 1847, 6], [7, 6, 3186, 3187]], 'adelic_image': '3192.48.0.?', 'conductor': 363888, 'lmfdb_label': '363888.dq1', 'prime': 0}
  • id: 1252123
    {'conductor': 363888, 'elladic_image': '4.6.0.1', 'lmfdb_label': '363888.dq1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363888.dq does not appear in ec_padic