Elliptic curve data - 4290.k2

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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': '4290k', 'Clabel': '4290k3', 'Cnumber': 3, 'abc_quality': 0.9690203374063193, 'absD': 1338278906250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1144, 'ainvs': [1, 0, 1, -2824, -15628], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4290, 'degree': 6144, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0180115947374799385868661624', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [2489411558640889, 1338278906250], 'lmfdb_iso': '4290.k', 'lmfdb_label': '4290.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2824, -15628], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '52.12.0-4.c.1.1', '88.24.0.?', '104.24.0.?', '1144.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1105471893425372274796058637', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 13], [3, 4, 1430], [5, 6, 858], [11, 12, 390], [13, 14, 330]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0180115947374799385868661624', 'prec': 100}, 'szpiro_ratio': 4.238479757167229, '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, 0, -1, 1, 1, 1, 1, -1, 0, -1, 1, 2, -1, -4, -1], 'aplist': [-1, 1, -1, 0, 1, -1, 2, -4, 0, -6, -4, 2, 6, 0, -12, -2, -4, 10, 4, -12, -2, 16, -12, 2, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 4290, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4290.k', 'trace_hash': 510383561601734999}
• 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': '0.13054683999220939002769353785', 'prec': 103}, 'conductor': 4290, 'gens': [[-20, 191, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1105471893425372274796058637', 'prec': 100}], 'lmfdb_label': '4290.k2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.69712757813571689533508303051', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0967722900471616257134577671662353921', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-201, 197, 2]], 'xcoord_integral_points': [-20, 60, 106]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 1], '3': [2, 0], '5': [1, 0], '7': [1, 1, 0], '11': [4, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4290.k2'}
• ec_torsion_growth •

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

  
  
  • id: 223427
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [2, 2]}
  • id: 223429
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [4]}
  • id: 223428
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [4]}
  • id: 223430
    {'degree': 4, 'field': [49, 0, -12, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [2, 4]}
  • id: 223434
    {'degree': 8, 'field': [-3312, 11925, -11988, 125, -59, -7, 7, -4, 1], 'lmfdb_label': '4290.k2', 'torsion': [6]}
  • id: 223432
    {'degree': 8, 'field': [625, 0, -475, 0, 176, 0, -19, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [8]}
  • id: 223431
    {'degree': 8, 'field': [52900, 0, -5648, 0, -444, 0, -8, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [2, 4]}
  • id: 223433
    {'degree': 8, 'field': [492804, 0, -44928, 0, 558, 0, 24, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [8]}
  • id: 223438
    {'degree': 16, 'field': [-42486006970, 209853287512, -194646138995, -29937063072, 13799604208, 1336058282, -337203581, -86873696, 14565681, 4569058, -717301, -103480, 14183, 1386, -178, -8, 1], 'lmfdb_label': '4290.k2', 'torsion': [2, 6]}
  • id: 223437
    {'degree': 16, 'field': [531441, 0, 34720812, 0, 1500608592, 0, -209740104, 0, 8418087, 0, -28728, 0, 1008, 0, -84, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [2, 8]}
  • id: 223436
    {'degree': 16, 'field': [5987809, 0, -2770426, 0, 1199389, 0, -174102, 0, 32172, 0, -5634, 0, 445, 0, -22, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [2, 8]}
  • id: 223435
    {'degree': 16, 'field': [187388721, 0, 0, 0, 0, 0, 0, 0, 465426, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '4290.k2', 'torsion': [4, 4]}
  • id: 223440
    {'degree': 16, 'field': [688468626, -634057416, 778286061, -292013904, 155501484, -13058998, 7060451, -2183776, 375029, 113474, -21949, -776, 463, -182, 46, -8, 1], 'lmfdb_label': '4290.k2', 'torsion': [12]}
  • id: 223439
    {'degree': 16, 'field': [28423539374, 4903784806, -5213946383, 527041872, -23798450, -306030556, 132949687, -27201824, 7687719, -645944, 185159, -32500, 7085, -798, 134, -8, 1], 'lmfdb_label': '4290.k2', 'torsion': [12]}
• 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: 80949
    {'conductor': 4290, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4290.k2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 80950
    {'conductor': 4290, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4290.k2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 80951
    {'conductor': 4290, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '4290.k2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 80952
    {'conductor': 4290, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4290.k2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 80953
    {'conductor': 4290, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4290.k2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1691907
    {'adelic_gens': [[268, 1, 111, 6], [1137, 8, 1136, 9], [1, 0, 8, 1], [147, 144, 738, 149], [937, 8, 316, 33], [7, 6, 1138, 1139], [144, 723, 433, 462], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '1144.48.0.?', 'conductor': 4290, 'lmfdb_label': '4290.k2', 'prime': 0}
  • id: 21318
    {'conductor': 4290, 'elladic_image': '8.12.0.7', 'lmfdb_label': '4290.k2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 152551
    {'lmfdb_iso': '4290.k', 'p': 17, 'prec': 20, 'unit': 127348100388600831861163, 'val': 1}
  • id: 152543
    {'lmfdb_iso': '4290.k', 'p': 19, 'prec': 20, 'unit': 827295491879565920703568, 'val': 1}
  • id: 152549
    {'lmfdb_iso': '4290.k', 'p': 29, 'prec': 20, 'unit': 3312499522333921871148789323, 'val': 1}
  • id: 152559
    {'lmfdb_iso': '4290.k', 'p': 31, 'prec': 20, 'unit': 19920051796560130685897342895, 'val': 1}
  • id: 152546
    {'lmfdb_iso': '4290.k', 'p': 37, 'prec': 20, 'unit': 38141009551570185134304201398, 'val': 1}
  • id: 152548
    {'lmfdb_iso': '4290.k', 'p': 41, 'prec': 20, 'unit': 2410328240929646342585493643639, 'val': 1}
  • id: 152557
    {'lmfdb_iso': '4290.k', 'p': 47, 'prec': 20, 'unit': 2256389281872532337769060494283, 'val': 1}
  • id: 152553
    {'lmfdb_iso': '4290.k', 'p': 53, 'prec': 20, 'unit': 337434131171328258437121310042415, 'val': 1}
  • id: 152554
    {'lmfdb_iso': '4290.k', 'p': 59, 'prec': 20, 'unit': 2533406768563254050091082140253087, 'val': 1}
  • id: 152558
    {'lmfdb_iso': '4290.k', 'p': 61, 'prec': 20, 'unit': 6560844805125981280953584664110517, 'val': 1}
  • id: 152545
    {'lmfdb_iso': '4290.k', 'p': 67, 'prec': 20, 'unit': 31578142858904736036350509352225088, 'val': 1}
  • id: 152547
    {'lmfdb_iso': '4290.k', 'p': 71, 'prec': 20, 'unit': 71437759350993112449414308102025281, 'val': 1}
  • id: 152555
    {'lmfdb_iso': '4290.k', 'p': 73, 'prec': 20, 'unit': 122747356505632737159521912909939803, 'val': 1}
  • id: 152550
    {'lmfdb_iso': '4290.k', 'p': 79, 'prec': 20, 'unit': 1041174065384381156616075629219047184, 'val': 1}
  • id: 152552
    {'lmfdb_iso': '4290.k', 'p': 83, 'prec': 20, 'unit': 1134134876194004027023156861547343665, 'val': 1}
  • id: 152556
    {'lmfdb_iso': '4290.k', 'p': 89, 'prec': 20, 'unit': 7529926480582804969796157155389470147, 'val': 1}
  • id: 152544
    {'lmfdb_iso': '4290.k', 'p': 97, 'prec': 20, 'unit': 21225333676695426213590026335990032627, 'val': 1}