Elliptic curve data - 390390.dj4

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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': '390390dj', 'Clabel': '390390dj4', 'Cnumber': 4, 'abc_quality': 1.0150912911963035, 'absD': 32463714542634375000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [1, 1, 1, 793705, -32413243], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 390390, 'degree': 11796480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4332806114474462155599793390', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 87, 'isogeny_degrees': [1, 2, 4], 'jinv': [11456208593737991, 6725709375000], 'lmfdb_iso': '390390.dj', 'lmfdb_label': '390390.dj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 4697, -12947], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '88.12.0.?', '104.12.0.?', '156.12.0.?', '264.24.0.?', '312.24.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9791865649082239267416144857', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 507], [3, 4, 65065], [5, 6, 78078], [7, 8, 55770], [11, 12, 35490], [13, 86, 2310]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1508059327166778475332356182', 'prec': 100}, 'szpiro_ratio': 4.06737125584897, '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, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 0, -1, -1, 1, 6, 1, 0, 1], 'aplist': [1, -1, 1, -1, -1, 0, 6, 0, -4, 2, 0, 2, 2, -8, -12, -6, -4, 2, 12, 4, 6, 8, -12, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 390390, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '390390.dj', 'trace_hash': 2259961221649607422}
• 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': '0.0076997977023100419280225426123', 'prec': 110}, 'conductor': 390390, 'gens': [[797, 32876, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9791865649082239267416144857', 'prec': 100}], 'lmfdb_label': '390390.dj4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12214912424405171783016280189', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.604283469718363557738853346131154190', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[163, -167, 2]], 'xcoord_integral_points': [797, 1097]}
• lmfdb_label 390390.dj4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16138861
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [4]}
  • id: 16138860
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [2, 2]}
  • id: 16138862
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [4]}
  • id: 16138863
    {'degree': 4, 'field': [25, 0, 16, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [2, 4]}
  • id: 16138865
    {'degree': 8, 'field': [-215003, -623216, -326945, -7490, 14836, 676, -257, -2, 1], 'lmfdb_label': '390390.dj4', 'torsion': [8]}
  • id: 16138866
    {'degree': 8, 'field': [63504, 0, -11328, 0, 1378, 0, -64, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [8]}
  • id: 16138864
    {'degree': 8, 'field': [82300, -25200, 30472, -2688, 816, -168, -20, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [2, 4]}
  • id: 16138867
    {'degree': 8, 'field': [644864, -514912, 100292, -4729, -394, 287, 1, -2, 1], 'lmfdb_label': '390390.dj4', 'torsion': [6]}
  • id: 16138872
    {'degree': 16, 'field': [20736, 0, -1261872, 0, 4677516, 0, -112913919, 0, 5476266, 0, -59151, 0, 1341, 0, -78, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [12]}
  • id: 16138870
    {'degree': 16, 'field': [65966884, 0, 107736840, 0, 5382640, 0, -3911412, 0, 554781, 0, 75408, 0, 4162, 0, 108, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [2, 8]}
  • id: 16138869
    {'degree': 16, 'field': [463627024, 0, -302369216, 0, 72330560, 0, -4753056, 0, -137224, 0, 4464, 0, 1232, 0, 40, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [2, 8]}
  • id: 16138873
    {'degree': 16, 'field': [5645418496, 0, 851003008, 0, 54230656, 0, 4358496, 0, -212304, 0, 39864, 0, 316, 0, 52, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [12]}
  • id: 16138868
    {'degree': 16, 'field': [7876562500, -4920300000, 1536796800, -769755840, 351405796, -65901024, 10217088, -1425984, 138741, -131208, 14112, 3024, 1162, -168, 0, 0, 1], 'lmfdb_label': '390390.dj4', 'torsion': [4, 4]}
  • id: 16138871
    {'degree': 16, 'field': [1359065874520, -1213058769760, 596091947100, -167419003664, 27065136674, -428269632, -849940671, 199770540, -12139128, -1378414, 298789, -3588, -699, 402, 54, -4, 1], 'lmfdb_label': '390390.dj4', 'torsion': [2, 6]}
• 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: 9660046
    {'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '390390.dj4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 9660047
    {'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '390390.dj4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9660048
    {'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '390390.dj4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 9660049
    {'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '390390.dj4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9660050
    {'conductor': 390390, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '390390.dj4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9660051
    {'conductor': 390390, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '390390.dj4', 'prime': 13, 'reduction_type': 0, '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: 4088481
    {'adelic_gens': [[937, 2912, 52, 1353], [7, 6, 3426, 3427], [791, 0, 0, 3431], [3425, 8, 3424, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [92, 793, 3367, 534], [235, 2080, 650, 1821], [1288, 2483, 169, 1782]], 'adelic_image': '3432.48.0.?', 'conductor': 390390, 'lmfdb_label': '390390.dj4', 'prime': 0}
  • id: 1331678
    {'conductor': 390390, 'elladic_image': '4.6.0.1', 'lmfdb_label': '390390.dj4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 390390.dj does not appear in ec_padic