Elliptic curve data - 42350.bl1

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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': '42350bb', 'Clabel': '42350bb6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 694451912000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 27720, 'ainvs': [1, 1, 0, -8259825, 9133575125], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 42350, 'degree': 1244160, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4167675730393199169121338104', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'intrinsic_torsion': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '42350.bl', 'lmfdb_label': '42350.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': -55, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.d.1', '72.72.1.?', '84.24.0.?', '126.108.2.?', '165.8.0.?', '168.48.1.?', '252.216.7.?', '330.24.0.?', '495.24.0.?', '504.432.21.?', '990.72.0.?', '1320.48.0.?', '3465.72.0.?', '3960.144.1.?', '4620.48.0.?', '6930.216.2.?', '9240.96.1.?', '13860.432.7.?', '27720.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.9542339185877214332212962392', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3025], [3, 2, 21175], [5, 14, 1694], [7, 8, 6050], [11, 62, 350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235480', 'prec': 103}, 'szpiro_ratio': 5.574984556614824, '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, 2, 1, 0, -2, 1, -1, 1, 0, 0, 2, -4, -1, 0, 1, 6, -1, -2, 0], 'aplist': [-1, 2, 0, 1, 0, -4, 6, -2, 0, 6, -4, -2, -6, 8, 12, -6, -6, -8, 4, 0, 2, -8, -6, -6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 42350, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '42350.bl', 'trace_hash': 1712630729353919914}
• 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': '0.0079583375926727763227207726330', 'prec': 110}, 'conductor': 42350, 'gens': [[28985, 37806385, 8]], 'heights': [{'__RealLiteral__': 0, 'data': '8.9542339185877214332212962392', 'prec': 100}], 'lmfdb_label': '42350.bl1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35745840459606591751737202054', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4015323418366929877280814967477436528', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[6635, -6635, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 0], '5': 'a', '7': [2, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '42350.bl1'}
• ec_torsion_growth •

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

  
  
  • id: 2078609
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '42350.bl1', 'torsion': [6]}
  • id: 2078608
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '42350.bl1', 'torsion': [2, 2]}
  • id: 2078611
    {'degree': 4, 'field': [1519, 86, -85, -2, 1], 'lmfdb_label': '42350.bl1', 'torsion': [2, 6]}
  • id: 2078610
    {'degree': 4, 'field': [6050, 0, 55, 0, 1], 'lmfdb_label': '42350.bl1', 'torsion': [4]}
  • id: 2078613
    {'degree': 6, 'field': [-11871, -11259, 5382, 273, -162, -3, 1], 'lmfdb_label': '42350.bl1', 'torsion': [18]}
  • id: 2078612
    {'degree': 6, 'field': [3080, -1155, 609, -71, 45, -3, 1], 'lmfdb_label': '42350.bl1', 'torsion': [6]}
  • id: 2078616
    {'degree': 8, 'field': [114244, 0, 9802, 0, 1175, 0, 29, 0, 1], 'lmfdb_label': '42350.bl1', 'torsion': [12]}
  • id: 2078614
    {'degree': 8, 'field': [198916, 0, -9632, 0, -326, 0, -8, 0, 1], 'lmfdb_label': '42350.bl1', 'torsion': [2, 4]}
  • id: 2078615
    {'degree': 8, 'field': [2374681, 0, 67818, 0, 3538, 0, 58, 0, 1], 'lmfdb_label': '42350.bl1', 'torsion': [2, 4]}
  • id: 2078620
    {'degree': 12, 'field': [-226999241, 441032214, -66135279, -123373410, 29861988, 6729222, -1745107, -151278, 37284, 1578, -327, -6, 1], 'lmfdb_label': '42350.bl1', 'torsion': [2, 18]}
  • id: 2078618
    {'degree': 12, 'field': [7998004, -4262370, 4109469, -1391976, 764361, -185586, 72887, -12534, 3759, -432, 99, -6, 1], 'lmfdb_label': '42350.bl1', 'torsion': [18]}
  • id: 2078617
    {'degree': 12, 'field': [9486400, -3557400, -541695, -266035, 150276, 51471, -19669, -696, 1203, 7, -36, -3, 1], 'lmfdb_label': '42350.bl1', 'torsion': [3, 6]}
  • id: 2078619
    {'degree': 12, 'field': [16697234, -6334980, 6977793, -2241966, 927165, -222048, 65701, -10434, 3099, -352, 87, -6, 1], 'lmfdb_label': '42350.bl1', 'torsion': [2, 6]}
  • id: 2078622
    {'degree': 16, 'field': [6399360016, 0, -1264890368, 0, -245689296, 0, -566560, 0, 1868060, 0, -4240, 0, -2676, 0, -8, 0, 1], 'lmfdb_label': '42350.bl1', 'torsion': [2, 12]}
  • id: 2078623
    {'degree': 16, 'field': [19264329616, 0, 5408403280, 0, 590114652, 0, 35792092, 0, 2167893, 0, 88702, 0, 2723, 0, 42, 0, 1], 'lmfdb_label': '42350.bl1', 'torsion': [2, 12]}
  • id: 2078621
    {'degree': 16, 'field': [303351999076, 0, -21557006296, 0, 4123581686, 0, -56340284, 0, -209767, 0, -166982, 0, 9264, 0, -162, 0, 1], 'lmfdb_label': '42350.bl1', 'torsion': [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: 1005268
    {'conductor': 42350, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '42350.bl1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1005269
    {'conductor': 42350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '42350.bl1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1005270
    {'conductor': 42350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '42350.bl1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1005271
    {'conductor': 42350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '42350.bl1', 'prime': 11, '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: 1946551
    {'adelic_gens': [[1, 36, 0, 1], [1, 0, 36, 1], [27685, 36, 27684, 37], [25199, 0, 0, 27719], [23431, 25740, 11330, 18151], [5543, 0, 0, 27719], [20791, 25740, 16390, 7921], [19, 36, 3240, 6139], [26236, 26235, 6105, 11386], [5941, 25740, 16720, 1541], [1, 18, 14, 253]], 'adelic_image': '27720.864.21.?', 'conductor': 42350, 'lmfdb_label': '42350.bl1', 'prime': 0}
  • id: 184992
    {'conductor': 42350, 'elladic_image': '8.6.0.6', 'lmfdb_label': '42350.bl1', 'modell_image': '2B', 'prime': 2}
  • id: 184993
    {'conductor': 42350, 'elladic_image': '9.12.0.1', 'lmfdb_label': '42350.bl1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2108199
    {'lmfdb_iso': '42350.bl', 'p': 13, 'prec': 20, 'unit': 411540644610685027578, 'val': 1}
  • id: 2108201
    {'lmfdb_iso': '42350.bl', 'p': 17, 'prec': 20, 'unit': 62022285083819241640705, 'val': 1}
  • id: 2108202
    {'lmfdb_iso': '42350.bl', 'p': 19, 'prec': 20, 'unit': 1688126801825515932876688, 'val': 1}
  • id: 2108198
    {'lmfdb_iso': '42350.bl', 'p': 29, 'prec': 20, 'unit': 3546972401483796579707801263, 'val': 1}
  • id: 2108209
    {'lmfdb_iso': '42350.bl', 'p': 31, 'prec': 20, 'unit': 7459922047555730021375235181, 'val': 1}
  • id: 2108195
    {'lmfdb_iso': '42350.bl', 'p': 37, 'prec': 20, 'unit': 427024655117417813171072919582, 'val': 1}
  • id: 2108196
    {'lmfdb_iso': '42350.bl', 'p': 41, 'prec': 20, 'unit': 3712174766883928070526546797186, 'val': 1}
  • id: 2108197
    {'lmfdb_iso': '42350.bl', 'p': 43, 'prec': 20, 'unit': 526064691521115354808865229916, 'val': 1}
  • id: 2108207
    {'lmfdb_iso': '42350.bl', 'p': 47, 'prec': 20, 'unit': 52753775493665119367036950430079, 'val': 1}
  • id: 2108203
    {'lmfdb_iso': '42350.bl', 'p': 53, 'prec': 20, 'unit': 416287649201912997600097462310892, 'val': 1}
  • id: 2108204
    {'lmfdb_iso': '42350.bl', 'p': 59, 'prec': 20, 'unit': 3176344858595812557564696780507902, 'val': 1}
  • id: 2108208
    {'lmfdb_iso': '42350.bl', 'p': 61, 'prec': 20, 'unit': 599148518819254033072366903318886, 'val': 1}
  • id: 2108194
    {'lmfdb_iso': '42350.bl', 'p': 67, 'prec': 20, 'unit': 40319839020261806591460052527241251, 'val': 1}
  • id: 2108205
    {'lmfdb_iso': '42350.bl', 'p': 73, 'prec': 20, 'unit': 179896905555692727604539440708720453, 'val': 1}
  • id: 2108200
    {'lmfdb_iso': '42350.bl', 'p': 79, 'prec': 20, 'unit': 615044386111442402852671132304779610, 'val': 1}
  • id: 2108193
    {'lmfdb_iso': '42350.bl', 'p': 83, 'prec': 20, 'unit': 729815347813551744451068704829624180, 'val': 1}
  • id: 2108206
    {'lmfdb_iso': '42350.bl', 'p': 89, 'prec': 20, 'unit': 4307194699466966424643181995081489027, 'val': 1}
  • id: 2108192
    {'lmfdb_iso': '42350.bl', 'p': 97, 'prec': 20, 'unit': 7276020120262221307218333442121131752, 'val': 1}