Elliptic curve data - 388080.jx2

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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': '388080jx', 'Clabel': '388080jx5', 'Cnumber': 5, 'abc_quality': 0.9967634929262502, 'absD': 4574474077333997168640, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 0, 0, -12348147, 16381240274], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 388080, 'degree': 25165824, 'elladic_images': ['16.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9442229399178083798845987995', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 257, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1185450336504002, 26043266205], 'lmfdb_iso': '388080.jx', 'lmfdb_label': '388080.jx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28000, -1759508], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.2', '40.24.0.bp.1', '80.48.0.?', '84.12.0.?', '88.24.0.?', '168.24.0.?', '176.48.0.?', '336.48.0.?', '440.48.0.?', '840.48.0.?', '880.96.1.?', '1680.96.0.?', '1848.48.0.?', '3696.96.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 8, 43120], [5, 6, 77616], [7, 26, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78657680554281368133517036465', 'prec': 103}, 'szpiro_ratio': 4.709053474366275, '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, 1, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 1, 0, -1, 2, -6, -4, 0, -6, -8, 6, 10, 4, 8, 10, 12, -6, 4, 0, 14, 0, -4, -6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 388080, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '388080.jx', 'trace_hash': 332752190412026353}
• 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': '0.0027712802544504813454649626481', 'prec': 110}, 'conductor': 388080, 'gens': [], 'heights': [], 'lmfdb_label': '388080.jx2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13745506163712422772842975336', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1992809861939876436548760538155836864', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[2254, 0, 1]], 'xcoord_integral_points': [2254]}
• lmfdb_label 388080.jx2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16042874
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '388080.jx2', 'torsion': [4]}
  • id: 16042872
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '388080.jx2', 'torsion': [2, 2]}
  • id: 16042873
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '388080.jx2', 'torsion': [4]}
  • id: 16042875
    {'degree': 4, 'field': [15, 30, -29, -2, 1], 'lmfdb_label': '388080.jx2', 'torsion': [2, 4]}
  • id: 16042877
    {'degree': 4, 'field': [267, 54, -53, -2, 1], 'lmfdb_label': '388080.jx2', 'torsion': [8]}
  • id: 16042876
    {'degree': 4, 'field': [2445, 120, -119, -2, 1], 'lmfdb_label': '388080.jx2', 'torsion': [8]}
  • id: 16042880
    {'degree': 8, 'field': [1761, 1812, -1244, -1084, 413, 152, -46, -4, 1], 'lmfdb_label': '388080.jx2', 'torsion': [2, 8]}
  • id: 16042879
    {'degree': 8, 'field': [231361, 0, 26964, 0, 2726, 0, 84, 0, 1], 'lmfdb_label': '388080.jx2', 'torsion': [8]}
  • id: 16042881
    {'degree': 8, 'field': [3115079, -166966, -373214, 3344, 15224, 358, -208, -4, 1], 'lmfdb_label': '388080.jx2', 'torsion': [6]}
  • id: 16042878
    {'degree': 8, 'field': [19351201, 0, 1256724, 0, -7034, 0, 84, 0, 1], 'lmfdb_label': '388080.jx2', 'torsion': [2, 4]}
  • id: 16042888
    {'degree': 16, 'field': [-7829253442386, 3935736663336, 3069572205276, 1206096539520, 279677581462, 29091532884, 308342268, -5871484, 75433320, 1081872, -10638, -50580, -23592, -820, -24, 0, 1], 'lmfdb_label': '388080.jx2', 'torsion': [12]}
  • id: 16042883
    {'degree': 16, 'field': [225, 0, 1329900, 0, 1569430, 0, 329120, 0, 69351, 0, 9064, 0, 786, 0, 44, 0, 1], 'lmfdb_label': '388080.jx2', 'torsion': [2, 8]}
  • id: 16042887
    {'degree': 16, 'field': [80957853, -2523096, -1594944, 9484200, -7591878, 2666232, 355900, -1046576, 240963, 6872, 4988, -2784, -82, 224, -12, -8, 1], 'lmfdb_label': '388080.jx2', 'torsion': [12]}
  • id: 16042884
    {'degree': 16, 'field': [4380755625, 8442135000, -5118281250, -6142050600, 1842914620, 1374179340, -296115750, -130934800, 23075501, 6153452, -949042, -148936, 20940, 1764, -232, -8, 1], 'lmfdb_label': '388080.jx2', 'torsion': [16]}
  • id: 16042885
    {'degree': 16, 'field': [228562944075, 64926565200, -50720148000, -26921456280, 9811653156, 4158953376, -1026620756, -294699368, 56918409, 10770416, -1757872, -210624, 30554, 2072, -276, -8, 1], 'lmfdb_label': '388080.jx2', 'torsion': [16]}
  • id: 16042886
    {'degree': 16, 'field': [396846670161, -397979583348, -200773123056, 319804645080, 170582646420, -7365705516, -13992780856, -497137088, 496658910, 23711540, -9247320, -394992, 93328, 2940, -480, -8, 1], 'lmfdb_label': '388080.jx2', 'torsion': [2, 6]}
  • id: 16042882
    {'degree': 16, 'field': [2404468903225, 0, -240662214100, 0, 13321263470, 0, -338284320, 0, 7138031, 0, -44616, 0, 5666, 0, 44, 0, 1], 'lmfdb_label': '388080.jx2', 'torsion': [4, 4]}
• 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: 9599835
    {'conductor': 388080, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '388080.jx2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9599836
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '388080.jx2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9599837
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '388080.jx2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9599838
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '388080.jx2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9599839
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '388080.jx2', 'prime': 11, '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: 4074099
    {'adelic_gens': [[18465, 16, 18464, 17], [1, 16, 0, 1], [13199, 0, 0, 18479], [11236, 5061, 14679, 3970], [12319, 0, 0, 18479], [1072, 11445, 7875, 2626], [15, 2, 18382, 18467], [1, 0, 16, 1], [11549, 11424, 16170, 4619], [10333, 7056, 18144, 8485], [5, 4, 18476, 18477]], 'adelic_image': '18480.192.1.?', 'conductor': 388080, 'lmfdb_label': '388080.jx2', 'prime': 0}
  • id: 1324193
    {'conductor': 388080, 'elladic_image': '16.24.0.6', 'lmfdb_label': '388080.jx2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 388080.jx does not appear in ec_padic