Elliptic curve data - 52983.e6

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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': '52983a', 'Clabel': '52983a1', 'Cnumber': 1, 'abc_quality': 0.9786808587681587, 'absD': 27318450663567, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9744, 'ainvs': [1, -1, 1, 7411, 52260], 'analytic_rank': 0, 'bad_primes': [3, 7, 29], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 52983, 'degree': 100352, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2674386718783136659216763071', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [103823, 63], 'lmfdb_iso': '52983.e', 'lmfdb_label': '52983.e6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1, 0], 'min_quad_twist_disc': -87, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '14.6.0.b.1', '16.24.0.e.1', '24.24.0.bz.1', '28.12.0.g.1', '48.48.0.bd.1', '56.24.0.bf.1', '112.48.0.?', '168.48.0.?', '232.24.0.?', '336.96.1.?', '348.12.0.?', '464.48.0.?', '696.48.0.?', '1392.96.0.?', '1624.48.0.?', '2436.24.0.?', '3248.96.0.?', '4872.96.0.?', '9744.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 5887], [7, 8, 7569], [29, 422, 63]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96551538744897819336758232754', 'prec': 107}, 'szpiro_ratio': 3.525175220910619, '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, 0, -1, 2, 0, -1, 3, 0, -2, 4, 0, -2, 1, 0, -1, -6, 0, -4, -2], 'aplist': [-1, 0, 2, -1, 4, -2, -6, -4, 0, 0, 0, -6, 2, 4, 0, -6, -12, 2, 4, 0, 6, 16, 12, -14, -18], 'class_deg': 8, 'class_size': 6, 'conductor': 52983, 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '52983.e', 'trace_hash': 896755130613738068}
• 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': '0.079271441805712825805623656744', 'prec': 107}, 'conductor': 52983, 'gens': [], 'heights': [], 'lmfdb_label': '52983.e6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.40975921957819307778839690657', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.81951843915638615557679381314245857378', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-7, 3, 1]], 'xcoord_integral_points': [-7]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '7': [0, 0], '29': 'a'}, 'iwp0': 3, 'lmfdb_label': '52983.e6'}
• ec_torsion_growth •

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

  
  
  • id: 2565128
    {'degree': 2, 'field': [-152, -1, 1], 'lmfdb_label': '52983.e6', 'torsion': [4]}
  • id: 2565127
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '52983.e6', 'torsion': [2, 2]}
  • id: 2565129
    {'degree': 2, 'field': [22, -1, 1], 'lmfdb_label': '52983.e6', 'torsion': [4]}
  • id: 2565131
    {'degree': 4, 'field': [49, 7, 8, -1, 1], 'lmfdb_label': '52983.e6', 'torsion': [8]}
  • id: 2565132
    {'degree': 4, 'field': [123, -93, 34, -1, 1], 'lmfdb_label': '52983.e6', 'torsion': [8]}
  • id: 2565130
    {'degree': 4, 'field': [400, 0, 47, 0, 1], 'lmfdb_label': '52983.e6', 'torsion': [2, 4]}
  • id: 2565137
    {'degree': 8, 'field': [-48773, -32007, 11305, -5572, 516, 92, -8, -3, 1], 'lmfdb_label': '52983.e6', 'torsion': [6]}
  • id: 2565136
    {'degree': 8, 'field': [1849, 0, -1289, 0, 342, 0, -32, 0, 1], 'lmfdb_label': '52983.e6', 'torsion': [16]}
  • id: 2565135
    {'degree': 8, 'field': [6561, 0, 891, 0, 40, 0, 11, 0, 1], 'lmfdb_label': '52983.e6', 'torsion': [2, 8]}
  • id: 2565134
    {'degree': 8, 'field': [211908, 40212, -37442, -5454, 2513, 254, -80, -4, 1], 'lmfdb_label': '52983.e6', 'torsion': [8]}
  • id: 2565133
    {'degree': 8, 'field': [2149828, -197432, 203840, -12908, 6685, -280, 98, -4, 1], 'lmfdb_label': '52983.e6', 'torsion': [2, 4]}
  • id: 2565140
    {'degree': 16, 'field': [2348781, -8327754, 19081629, -17159568, 13782703, -7994234, 4296236, -1781820, 724471, -224074, 70768, -16024, 3898, -588, 104, -8, 1], 'lmfdb_label': '52983.e6', 'torsion': [16]}
  • id: 2565141
    {'degree': 16, 'field': [8230825, 2035305, -7822906, -1975315, 3648518, 813162, -1007755, -187230, 175816, 25977, -19730, -2162, 1389, 100, -56, -2, 1], 'lmfdb_label': '52983.e6', 'torsion': [2, 16]}
  • id: 2565144
    {'degree': 16, 'field': [226603617, -44297772, 125273316, 54714651, -11463717, 21056229, 4251562, -1272883, 782486, -203499, 20168, 1888, -1182, 265, -28, -5, 1], 'lmfdb_label': '52983.e6', 'torsion': [12]}
  • id: 2565138
    {'degree': 16, 'field': [597704704, 0, -117391808, 0, 286892000, 0, 7282068, 0, 1988132, 0, 19101, 0, 2687, 0, 19, 0, 1], 'lmfdb_label': '52983.e6', 'torsion': [4, 4]}
  • id: 2565142
    {'degree': 16, 'field': [5096674881, 0, 1800745072, 0, -240237122, 0, 9154893, 0, 1027265, 0, 7475, 0, 1065, 0, -11, 0, 1], 'lmfdb_label': '52983.e6', 'torsion': [2, 6]}
  • id: 2565143
    {'degree': 16, 'field': [8224312279, 2124672161, -3329485081, -2029692658, -461423127, 91975001, 48133089, 7497956, -1378202, -423569, -4098, 12076, 1704, -251, -22, -2, 1], 'lmfdb_label': '52983.e6', 'torsion': [12]}
  • id: 2565139
    {'degree': 16, 'field': [44905000464, 0, 17485523616, 0, 2905585468, 0, 272262584, 0, 15822033, 0, 585112, 0, 13458, 0, 176, 0, 1], 'lmfdb_label': '52983.e6', 'torsion': [2, 8]}
• 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: 1270487
    {'conductor': 52983, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '52983.e6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1270488
    {'conductor': 52983, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '52983.e6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1270489
    {'conductor': 52983, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '52983.e6', 'prime': 29, '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: 2016220
    {'adelic_gens': [[2176, 9077, 4611, 2002], [1, 16, 0, 1], [2321, 3712, 3770, 7599], [5711, 0, 0, 9743], [1, 3712, 9164, 2901], [9729, 16, 9728, 17], [5, 4, 9740, 9741], [1, 0, 16, 1], [15, 2, 9646, 9731], [2899, 6032, 7424, 2667]], 'adelic_image': '9744.192.1.?', 'conductor': 52983, 'lmfdb_label': '52983.e6', 'prime': 0}
  • id: 226500
    {'conductor': 52983, 'elladic_image': '16.24.0.1', 'lmfdb_label': '52983.e6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 52983.e does not appear in ec_padic