Elliptic curve data - 8190.j4

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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': '8190b', 'Clabel': '8190b1', 'Cnumber': 1, 'abc_quality': 0.9896845589755124, 'absD': 72981352080, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [1, -1, 0, -8790, 319140], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 8190, 'degree': 13824, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0052402836070852908298091587', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2781982314427707, 2703013040], 'lmfdb_iso': '8190.j', 'lmfdb_label': '8190.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -8790, 319140], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '156.48.0.?', '210.48.0.?', '1820.6.0.?', '5460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5818323803528606869494065279', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 105], [3, 6, 70], [5, 6, 1638], [7, 8, 1170], [13, 14, 630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058721144005786798099784947', 'prec': 103}, 'szpiro_ratio': 4.312418560110698, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, -1, 0, 1, -1, 0, 1, 6, 0, 1, -1, 0, 1, 0, 0, -4, -1], 'aplist': [-1, 0, -1, 1, 6, 1, 0, -4, 0, 0, -4, -4, -6, -10, 6, -6, 0, -10, -4, -6, 2, -4, 6, -6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 8190, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '8190.j', 'trace_hash': 583439890258339226}
• 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': '0.13392429957420783078310437475', 'prec': 103}, 'conductor': 8190, 'gens': [[472, -214, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5818323803528606869494065279', 'prec': 100}], 'lmfdb_label': '8190.j4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0864106679455781746264090989', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3185010511692198486166772785626875055', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[48, 54, 1]], 'xcoord_integral_points': [-108, 48, 61]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [2, 0], '11': [3, 0], '13': [2, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '8190.j4'}
• ec_torsion_growth •

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

  
  
  • id: 427222
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '8190.j4', 'torsion': [2, 6]}
  • id: 427223
    {'degree': 4, 'field': [13, -26, 27, -2, 1], 'lmfdb_label': '8190.j4', 'torsion': [12]}
  • id: 427224
    {'degree': 6, 'field': [5041, -213, -204, 133, 6, -3, 1], 'lmfdb_label': '8190.j4', 'torsion': [3, 6]}
  • id: 427225
    {'degree': 8, 'field': [-4394, -338, 325, 52, 664, -2, -50, -2, 1], 'lmfdb_label': '8190.j4', 'torsion': [2, 12]}
  • id: 427226
    {'degree': 8, 'field': [626704, 154336, 19540, -236, 4237, -74, 103, -2, 1], 'lmfdb_label': '8190.j4', 'torsion': [2, 12]}
  • id: 427227
    {'degree': 9, 'field': [4112784, 949104, 73008, -16380, 468, 0, -105, -36, -3, 1], 'lmfdb_label': '8190.j4', 'torsion': [18]}
  • id: 427228
    {'degree': 12, 'field': [314721, -3366, -8379, 22350, -8310, -3486, 1261, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '8190.j4', 'torsion': [6, 6]}
  • id: 427229
    {'degree': 16, 'field': [117180625, 0, -7150450, 0, 84765425, 0, 3083330, 0, 737260, 0, -7658, 0, 857, 0, 34, 0, 1], 'lmfdb_label': '8190.j4', 'torsion': [24]}
  • id: 427230
    {'degree': 18, 'field': [-5011849549824, 2935935535104, 2066550576480, -1064003534100, -106538572764, 78572718432, 6501544158, -764656506, -2035389996, 47329731, 97262865, -353880, -2197716, -48546, 25944, 1134, -204, -9, 1], 'lmfdb_label': '8190.j4', 'torsion': [2, 18]}
• 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: 169639
    {'conductor': 8190, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '8190.j4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 169640
    {'conductor': 8190, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '8190.j4', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 169641
    {'conductor': 8190, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8190.j4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 169642
    {'conductor': 8190, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8190.j4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 169643
    {'conductor': 8190, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '8190.j4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1718123
    {'adelic_gens': [[5449, 12, 5448, 13], [459, 2278, 3206, 5021], [1, 0, 12, 1], [1832, 11, 1785, 5428], [1, 6, 6, 37], [1570, 3, 2313, 5452], [1, 12, 0, 1], [4201, 12, 3366, 73], [11, 2, 5410, 5451], [10, 3, 4341, 5452]], 'adelic_image': '5460.96.1.?', 'conductor': 8190, 'lmfdb_label': '8190.j4', 'prime': 0}
  • id: 40206
    {'conductor': 8190, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8190.j4', 'modell_image': '2B', 'prime': 2}
  • id: 40207
    {'conductor': 8190, 'elladic_image': '3.8.0.1', 'lmfdb_label': '8190.j4', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 336951
    {'lmfdb_iso': '8190.j', 'p': 11, 'prec': 20, 'unit': 2977535133661672491, 'val': 2}
  • id: 336952
    {'lmfdb_iso': '8190.j', 'p': 19, 'prec': 20, 'unit': 985254196840947638029872, 'val': 1}
  • id: 336958
    {'lmfdb_iso': '8190.j', 'p': 31, 'prec': 20, 'unit': 11634138674218481415268360402, 'val': 1}
  • id: 336946
    {'lmfdb_iso': '8190.j', 'p': 37, 'prec': 20, 'unit': 257743700494763451734821515158, 'val': 1}
  • id: 336948
    {'lmfdb_iso': '8190.j', 'p': 41, 'prec': 20, 'unit': 3657195124341627047594027767009, 'val': 1}
  • id: 336949
    {'lmfdb_iso': '8190.j', 'p': 43, 'prec': 20, 'unit': 2858004119265668711306544288196, 'val': 1}
  • id: 336950
    {'lmfdb_iso': '8190.j', 'p': 47, 'prec': 20, 'unit': 36566157029488007847909173594739, 'val': 1}
  • id: 336953
    {'lmfdb_iso': '8190.j', 'p': 53, 'prec': 20, 'unit': 367075980949728113034020582979708, 'val': 1}
  • id: 336957
    {'lmfdb_iso': '8190.j', 'p': 61, 'prec': 20, 'unit': 6046863378514968047977122248634080, 'val': 1}
  • id: 336945
    {'lmfdb_iso': '8190.j', 'p': 67, 'prec': 20, 'unit': 43369343672825013576382662873894431, 'val': 1}
  • id: 336947
    {'lmfdb_iso': '8190.j', 'p': 71, 'prec': 20, 'unit': 101584621026131053290926174738062664, 'val': 1}
  • id: 336954
    {'lmfdb_iso': '8190.j', 'p': 73, 'prec': 20, 'unit': 192813757797420513826591636661770542, 'val': 1}
  • id: 336956
    {'lmfdb_iso': '8190.j', 'p': 79, 'prec': 20, 'unit': 215087729475663218998389053382853375, 'val': 1}
  • id: 336944
    {'lmfdb_iso': '8190.j', 'p': 83, 'prec': 20, 'unit': 2248790453078345652956038288450238130, 'val': 1}
  • id: 336955
    {'lmfdb_iso': '8190.j', 'p': 89, 'prec': 20, 'unit': 3472987902961310704266614326143899485, 'val': 1}
  • id: 336943
    {'lmfdb_iso': '8190.j', 'p': 97, 'prec': 20, 'unit': 1727201409586258471139315055000848485, 'val': 1}