Elliptic curve data - 20097.l4

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '20097h', 'Clabel': '20097h1', 'Cnumber': 1, 'abc_quality': 0.9162947686813966, 'absD': 21399272557047, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4872, 'ainvs': [1, -1, 0, 5259, -168616], 'analytic_rank': 1, 'bad_primes': [3, 7, 11, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20097, 'degree': 43008, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2436816745073491901890281518', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [22062729659823, 29354283343], 'lmfdb_iso': '20097.l', 'lmfdb_label': '20097.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 584, 6050], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '14.6.0.b.1', '28.12.0.g.1', '84.24.0.?', '232.12.0.?', '696.24.0.?', '1624.24.0.?', '4872.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.6724755867211438664438254199', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69437553017329434449140553334', 'prec': 103}, 'szpiro_ratio': 3.7925931460228464, '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, 1, 0, 6, -1, 0, -1, 2, 0, -8, -2], 'aplist': [1, 0, 2, -1, 1, 6, 2, -8, 0, -1, -4, -2, 2, -4, 4, 10, -12, 2, 12, -8, -10, 0, -12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 20097, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '20097.l', 'trace_hash': 1198467359505678050}
• 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': '0.083128859665765186368924285509', 'prec': 107}, 'conductor': 20097, 'gens': [[109897, 39990443, 32]], 'heights': [{'__RealLiteral__': 0, 'data': '9.6724755867211438664438254199', 'prec': 100}], 'lmfdb_label': '20097.l4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36272463362309874917084583426', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0168903268435880435350510131676837526', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[28, -14, 1]], 'xcoord_integral_points': [28]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [3, 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': '20097.l4'}
• ec_torsion_growth •

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

  
  
  • id: 1024705
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '20097.l4', 'torsion': [4]}
  • id: 1024706
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '20097.l4', 'torsion': [4]}
  • id: 1024704
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '20097.l4', 'torsion': [2, 2]}
  • id: 1024707
    {'degree': 4, 'field': [4, -2, -1, -1, 1], 'lmfdb_label': '20097.l4', 'torsion': [2, 4]}
  • id: 1024709
    {'degree': 8, 'field': [-731, 16266, -7567, 868, -336, 28, 21, -2, 1], 'lmfdb_label': '20097.l4', 'torsion': [8]}
  • id: 1024711
    {'degree': 8, 'field': [-363, 0, 0, 0, 66, 0, 15, 0, 1], 'lmfdb_label': '20097.l4', 'torsion': [6]}
  • id: 1024708
    {'degree': 8, 'field': [2374, -1538, -139, -198, 266, -54, 8, -2, 1], 'lmfdb_label': '20097.l4', 'torsion': [2, 4]}
  • id: 1024710
    {'degree': 8, 'field': [4225, -2795, 1459, -388, 144, -80, 7, -1, 1], 'lmfdb_label': '20097.l4', 'torsion': [8]}
  • id: 1024716
    {'degree': 16, 'field': [-215711, 1394324, -3220524, 3928228, -3023494, 1820049, -1106399, 645068, -278250, 78824, -16169, 3108, -427, 28, -3, -4, 1], 'lmfdb_label': '20097.l4', 'torsion': [12]}
  • id: 1024717
    {'degree': 16, 'field': [121, 704, 4602, -2174, 4202, -105, 1267, -250, 642, -640, 379, -126, 35, -14, 9, -4, 1], 'lmfdb_label': '20097.l4', 'torsion': [12]}
  • id: 1024715
    {'degree': 16, 'field': [105067, -252070, 461453, -512196, 515567, -389990, 280198, -169566, 99217, -47274, 19522, -6370, 1820, -378, 74, -8, 1], 'lmfdb_label': '20097.l4', 'torsion': [2, 6]}
  • id: 1024714
    {'degree': 16, 'field': [9834496, 13522432, 9088128, 7976808, 5616625, 2045652, 878038, 430808, 50688, 3162, 12958, 1188, -150, 152, 8, -2, 1], 'lmfdb_label': '20097.l4', 'torsion': [2, 8]}
  • id: 1024713
    {'degree': 16, 'field': [11316496, -11316496, -2536456, -3316904, 8564744, -797268, -1541466, -217558, 344289, 15250, -25800, -5526, 2455, 100, -48, -4, 1], 'lmfdb_label': '20097.l4', 'torsion': [2, 8]}
  • id: 1024712
    {'degree': 16, 'field': [14776336, -9533120, 3075200, -723168, -247220, 342728, -151968, 27652, 13869, -8174, 2466, 260, -197, 72, 2, -2, 1], 'lmfdb_label': '20097.l4', 'torsion': [4, 4]}
• 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: 455291
    {'conductor': 20097, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '20097.l4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 455292
    {'conductor': 20097, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '20097.l4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 455293
    {'conductor': 20097, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '20097.l4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 455294
    {'conductor': 20097, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '20097.l4', 'prime': 29, 'reduction_type': -1, '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: 1798267
    {'adelic_gens': [[4865, 8, 4864, 9], [7, 6, 4866, 4867], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3484, 3249, 951, 1630], [4033, 1632, 4764, 1657], [3247, 0, 0, 4871], [3865, 612, 2238, 1423], [4267, 4266, 1434, 619]], 'adelic_image': '4872.48.0.?', 'conductor': 20097, 'lmfdb_label': '20097.l4', 'prime': 0}
  • id: 93556
    {'conductor': 20097, 'elladic_image': '4.6.0.1', 'lmfdb_label': '20097.l4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 933902
    {'lmfdb_iso': '20097.l', 'p': 5, 'prec': 20, 'unit': 10995199305393, 'val': 1}
  • id: 933893
    {'lmfdb_iso': '20097.l', 'p': 13, 'prec': 20, 'unit': 1451190273580719467109, 'val': 1}
  • id: 933895
    {'lmfdb_iso': '20097.l', 'p': 17, 'prec': 20, 'unit': 183061762924332266490, 'val': 3}
  • id: 933885
    {'lmfdb_iso': '20097.l', 'p': 19, 'prec': 20, 'unit': 604767204186241362924305, 'val': 1}
  • id: 933890
    {'lmfdb_iso': '20097.l', 'p': 31, 'prec': 20, 'unit': 16822734651403811254545346180, 'val': 1}
  • id: 933888
    {'lmfdb_iso': '20097.l', 'p': 37, 'prec': 20, 'unit': 383271061499550192908328301933, 'val': 1}
  • id: 933891
    {'lmfdb_iso': '20097.l', 'p': 41, 'prec': 20, 'unit': 2092550512407590216742541328677, 'val': 1}
  • id: 933892
    {'lmfdb_iso': '20097.l', 'p': 43, 'prec': 20, 'unit': 3825843106098288117879195088667, 'val': 1}
  • id: 933894
    {'lmfdb_iso': '20097.l', 'p': 47, 'prec': 20, 'unit': 14480852987911120302511494275204, 'val': 1}
  • id: 933897
    {'lmfdb_iso': '20097.l', 'p': 53, 'prec': 20, 'unit': 492610833810340747774513260675720, 'val': 1}
  • id: 933900
    {'lmfdb_iso': '20097.l', 'p': 59, 'prec': 20, 'unit': 1924454279151053547265907052983973, 'val': 1}
  • id: 933901
    {'lmfdb_iso': '20097.l', 'p': 61, 'prec': 20, 'unit': 8177130192926444047643853813173763, 'val': 1}
  • id: 933887
    {'lmfdb_iso': '20097.l', 'p': 67, 'prec': 20, 'unit': 10406876713232507199613691990184619, 'val': 1}
  • id: 933889
    {'lmfdb_iso': '20097.l', 'p': 71, 'prec': 20, 'unit': 12148053235853771292870120762526738, 'val': 1}
  • id: 933898
    {'lmfdb_iso': '20097.l', 'p': 73, 'prec': 20, 'unit': 44321534194780334096104134135917755, 'val': 1}
  • id: 933896
    {'lmfdb_iso': '20097.l', 'p': 83, 'prec': 20, 'unit': 1504614257681221869762285813032738474, 'val': 1}
  • id: 933899
    {'lmfdb_iso': '20097.l', 'p': 89, 'prec': 20, 'unit': 753153993826817505225529567090368163, 'val': 1}
  • id: 933886
    {'lmfdb_iso': '20097.l', 'p': 97, 'prec': 20, 'unit': 10164013358574849543058050487923705338, 'val': 1}