Elliptic curve data - 17850.ba2

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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': '17850u', 'Clabel': '17850u4', 'Cnumber': 4, 'abc_quality': 0.9994946520793547, 'absD': 5127181719135000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4080, 'ainvs': [1, 0, 1, -6315501, 6107356648], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 17850, 'degree': 884736, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5928042830271281545958129031', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1782900110862842086081, 328139630024640], 'lmfdb_iso': '17850.ba', 'lmfdb_label': '17850.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -252620, 48757805], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '12.12.0-4.c.1.1', '20.12.0-4.c.1.2', '24.48.0-8.bb.2.3', '40.48.0-8.bb.2.4', '60.24.0-60.h.1.4', '120.96.0.?', '272.48.0.?', '816.96.0.?', '1360.96.0.?', '4080.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0635890337575031891282057562', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7880853268100779672954332365', 'prec': 100}, 'szpiro_ratio': 5.984739462455133, '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, 0, -1, 1, -1, 1, 0, 4, 1, -6, -1, 0, 1, -1, -1, 4, 0], 'aplist': [-1, 1, 0, 1, 4, -6, -1, 4, 0, -2, -8, 10, 2, -4, 0, -6, -12, -2, -12, -8, -2, 8, -4, 10, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 17850, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '17850.ba', 'trace_hash': 985676416793925940}
• 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': '0.0055965297207437798800617726769', 'prec': 110}, 'conductor': 17850, 'gens': [[1486, 1367, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.0635890337575031891282057562', 'prec': 100}], 'lmfdb_label': '17850.ba2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23505873710494923272501572510', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7609633739740353913504075400143636866', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[5863, -5867, 2]], 'xcoord_integral_points': [1486]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': [2, 0], '5': 'a', '7': [2, 0], '11': [1, 0], '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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '17850.ba2'}
• ec_torsion_growth •

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

  
  
  • id: 913143
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '17850.ba2', 'torsion': [2, 2]}
  • id: 913145
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '17850.ba2', 'torsion': [4]}
  • id: 913144
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '17850.ba2', 'torsion': [4]}
  • id: 913146
    {'degree': 4, 'field': [1, 8, -7, -2, 1], 'lmfdb_label': '17850.ba2', 'torsion': [2, 4]}
  • id: 913147
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '17850.ba2', 'torsion': [8]}
  • id: 913148
    {'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '17850.ba2', 'torsion': [8]}
  • id: 913152
    {'degree': 8, 'field': [-8064, -2736, 2412, 647, -320, -7, 7, -4, 1], 'lmfdb_label': '17850.ba2', 'torsion': [6]}
  • id: 913151
    {'degree': 8, 'field': [1, 0, -12, 0, 23, 0, -12, 0, 1], 'lmfdb_label': '17850.ba2', 'torsion': [2, 8]}
  • id: 913149
    {'degree': 8, 'field': [33861, 17922, 4200, -318, 34, -2, 0, -2, 1], 'lmfdb_label': '17850.ba2', 'torsion': [2, 4]}
  • id: 913150
    {'degree': 8, 'field': [540225, 0, 0, 0, 10290, 0, 0, 0, 1], 'lmfdb_label': '17850.ba2', 'torsion': [8]}
  • id: 913159
    {'degree': 16, 'field': [108716, -1307626, -1014269, 640560, -1035545, 309478, -151724, -6454, 4680, -5980, 440, -86, -112, 0, 5, -4, 1], 'lmfdb_label': '17850.ba2', 'torsion': [12]}
  • id: 913158
    {'degree': 16, 'field': [1016064, 0, -4085424, 0, 626220, 0, 161433, 0, -47430, 0, -3207, 0, 477, 0, -30, 0, 1], 'lmfdb_label': '17850.ba2', 'torsion': [2, 6]}
  • id: 913154
    {'degree': 16, 'field': [8643600, 0, 0, 0, 0, 0, 0, 0, 2940, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '17850.ba2', 'torsion': [2, 8]}
  • id: 913160
    {'degree': 16, 'field': [9020376, -4715928, 13569876, -12276432, -7021674, 14619546, -2920451, -1670096, 409722, 10364, -7531, 3336, -829, 98, 6, -8, 1], 'lmfdb_label': '17850.ba2', 'torsion': [12]}
  • id: 913153
    {'degree': 16, 'field': [12117361, -11090466, 5075298, -1548396, 140557, 63060, -17658, 4302, 1020, -1038, 342, -60, 37, -36, 18, -6, 1], 'lmfdb_label': '17850.ba2', 'torsion': [4, 4]}
  • id: 913157
    {'degree': 16, 'field': [506250000, 0, 2025000000, 0, 13263750000, 0, 668520000, 0, 31049100, 0, 684000, 0, 13500, 0, 120, 0, 1], 'lmfdb_label': '17850.ba2', 'torsion': [16]}
  • id: 913156
    {'degree': 16, 'field': [7471182096, 0, -4226554442880, 0, 692964845496, 0, -38118276000, 0, 1027704832, 0, -15284080, 0, 127694, 0, -560, 0, 1], 'lmfdb_label': '17850.ba2', 'torsion': [16]}
  • id: 913155
    {'degree': 16, 'field': [292638803521, 0, -4747473784, 0, -1515922790, 0, 10745684, 0, 3322219, 0, -2956, 0, -2930, 0, -4, 0, 1], 'lmfdb_label': '17850.ba2', '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: 399767
    {'conductor': 17850, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '17850.ba2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 399768
    {'conductor': 17850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17850.ba2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 399769
    {'conductor': 17850, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '17850.ba2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 399770
    {'conductor': 17850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17850.ba2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 399771
    {'conductor': 17850, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '17850.ba2', 'prime': 17, '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: 1782972
    {'adelic_gens': [[4065, 16, 4064, 17], [15, 2, 3982, 4067], [1, 16, 0, 1], [241, 16, 1928, 129], [13, 16, 3324, 3385], [5, 4, 4076, 4077], [1624, 4079, 737, 4070], [2728, 1, 1439, 10], [1, 0, 16, 1], [3578, 1031, 427, 1926]], 'adelic_image': '4080.192.1.?', 'conductor': 17850, 'lmfdb_label': '17850.ba2', 'prime': 0}
  • id: 83427
    {'conductor': 17850, 'elladic_image': '8.24.0.90', 'lmfdb_label': '17850.ba2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 818046
    {'lmfdb_iso': '17850.ba', 'p': 11, 'prec': 20, 'unit': 24152369090010246134, 'val': 1}
  • id: 818044
    {'lmfdb_iso': '17850.ba', 'p': 13, 'prec': 20, 'unit': 712466975120294457651, 'val': 1}
  • id: 818047
    {'lmfdb_iso': '17850.ba', 'p': 19, 'prec': 20, 'unit': 1282775651979144555500735, 'val': 1}
  • id: 818043
    {'lmfdb_iso': '17850.ba', 'p': 29, 'prec': 20, 'unit': 405162502461962332606388995, 'val': 1}
  • id: 818053
    {'lmfdb_iso': '17850.ba', 'p': 31, 'prec': 20, 'unit': 16814123630386417140718874572, 'val': 1}
  • id: 818039
    {'lmfdb_iso': '17850.ba', 'p': 37, 'prec': 20, 'unit': 24256435506371237913306598671, 'val': 1}
  • id: 818041
    {'lmfdb_iso': '17850.ba', 'p': 41, 'prec': 20, 'unit': 807733623215176666027505470165, 'val': 1}
  • id: 818042
    {'lmfdb_iso': '17850.ba', 'p': 43, 'prec': 20, 'unit': 6220942465005290341020414033939, 'val': 1}
  • id: 818048
    {'lmfdb_iso': '17850.ba', 'p': 53, 'prec': 20, 'unit': 167449955284743964770393456063118, 'val': 1}
  • id: 818051
    {'lmfdb_iso': '17850.ba', 'p': 59, 'prec': 20, 'unit': 4261665087821000259242158242709957, 'val': 1}
  • id: 818052
    {'lmfdb_iso': '17850.ba', 'p': 61, 'prec': 20, 'unit': 762399422507610421316798436282626, 'val': 1}
  • id: 818038
    {'lmfdb_iso': '17850.ba', 'p': 67, 'prec': 20, 'unit': 41120756517368886046403391826777158, 'val': 1}
  • id: 818040
    {'lmfdb_iso': '17850.ba', 'p': 71, 'prec': 20, 'unit': 75484012820978539452481473921975863, 'val': 1}
  • id: 818049
    {'lmfdb_iso': '17850.ba', 'p': 73, 'prec': 20, 'unit': 58727970405806522492960880245384680, 'val': 1}
  • id: 818045
    {'lmfdb_iso': '17850.ba', 'p': 79, 'prec': 20, 'unit': 709019153691979080087057944503967736, 'val': 1}
  • id: 818037
    {'lmfdb_iso': '17850.ba', 'p': 83, 'prec': 20, 'unit': 25172190168781233531723586125424720, 'val': 1}
  • id: 818050
    {'lmfdb_iso': '17850.ba', 'p': 89, 'prec': 20, 'unit': 4494682942964708648822440644792850262, 'val': 1}
  • id: 818036
    {'lmfdb_iso': '17850.ba', 'p': 97, 'prec': 20, 'unit': 26803907035498040004487720763760741277, 'val': 1}