Elliptic curve data - 284400.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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '284400dj', 'Clabel': '284400dj4', 'Cnumber': 4, 'abc_quality': 0.9889128419601019, 'absD': 109035298748160000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9480, 'ainvs': [0, 0, 0, 683925, 452772250], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 79], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 284400, 'degree': 5898240, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5281350468539837896623280213', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 87, 'isogeny_degrees': [1, 2, 4], 'jinv': [758301032159, 2337004860], 'lmfdb_iso': '284400.dj', 'lmfdb_label': '284400.dj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 190, 2112], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '30.6.0.a.1', '60.24.0-60.g.1.3', '632.24.0.?', '9480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.5195921623779567492528767292', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 31600], [5, 18, 11376], [79, 80, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48096276574293344724709361477', 'prec': 103}, 'szpiro_ratio': 4.251024274622751, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 0, 0, 0, -6, -6, -4, 0, 6, -8, -2, 2, 4, 0, 6, -4, -2, -8, 8, -2, 1, 4, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 284400, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '284400.dj', 'trace_hash': 2142560607975161094}
• 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': '0.0063692720505433139970703265253', 'prec': 110}, 'conductor': 284400, 'gens': [[245, 25200, 1], [3381, 203504, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0701918853047701986108890357', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.2796933988711329624279200606', 'prec': 100}], 'lmfdb_label': '284400.dj4', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.13251593315536316375356404775', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.823197427038510431853939748854639411', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[695, 35550, 1]], 'xcoord_integral_points': [-490, -411, -369, 245, 695, 1535, 3381, 3845, 17285]}
• lmfdb_label 284400.dj4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12095926
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '284400.dj4', 'torsion': [2, 4]}
  • id: 12095927
    {'degree': 4, 'field': [-960, 0, 30, 0, 1], 'lmfdb_label': '284400.dj4', 'torsion': [8]}
  • id: 12095931
    {'degree': 8, 'field': [-10800, 0, -2940, 0, 360, 0, 0, 0, 1], 'lmfdb_label': '284400.dj4', 'torsion': [12]}
  • id: 12095928
    {'degree': 8, 'field': [196, 0, 184, 0, -24, 0, 4, 0, 1], 'lmfdb_label': '284400.dj4', 'torsion': [4, 4]}
  • id: 12095929
    {'degree': 8, 'field': [91786, 9030, -4553, 482, 629, -38, 9, -2, 1], 'lmfdb_label': '284400.dj4', 'torsion': [2, 8]}
  • id: 12095930
    {'degree': 8, 'field': [1118176, 8624, -9278, 1232, -425, -232, 82, -4, 1], 'lmfdb_label': '284400.dj4', 'torsion': [2, 8]}
  • id: 12095933
    {'degree': 16, 'field': [1025536, -1036928, 2021904, -3177600, 4752480, -4204416, 2091424, -612128, 180945, -21960, 8220, -2712, 998, -280, 60, -8, 1], 'lmfdb_label': '284400.dj4', 'torsion': [2, 12]}
  • id: 12095932
    {'degree': 16, 'field': [92027289600, 0, -23006822400, 0, 1301414400, 0, -18201600, 0, 314880, 0, 18240, 0, -3390, 0, 60, 0, 1], 'lmfdb_label': '284400.dj4', 'torsion': [16]}
• 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: 7045293
    {'conductor': 284400, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '284400.dj4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7045294
    {'conductor': 284400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '284400.dj4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7045295
    {'conductor': 284400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '284400.dj4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7045296
    {'conductor': 284400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '284400.dj4', 'prime': 79, 'reduction_type': 1, '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: 3457564
    {'adelic_gens': [[3152, 9477, 3155, 9478], [3784, 9477, 9475, 9478], [9473, 8, 9472, 9], [7, 6, 9474, 9475], [1, 0, 8, 1], [5917, 5924, 5878, 1179], [1, 8, 0, 1], [1, 4, 4, 17], [6481, 8, 6964, 33], [8299, 8298, 5938, 1195]], 'adelic_image': '9480.48.0.?', 'conductor': 284400, 'lmfdb_label': '284400.dj4', 'prime': 0}
  • id: 1010038
    {'conductor': 284400, 'elladic_image': '4.12.0.7', 'lmfdb_label': '284400.dj4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 284400.dj does not appear in ec_padic