Elliptic curve data - 26950.by2

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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': '26950ck', 'Clabel': '26950ck1', 'Cnumber': 1, 'abc_quality': 0.8204006326490144, 'absD': 64706950, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 9240, 'ainvs': [1, 0, 0, 97, -113], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 26950, 'degree': 10368, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.18772510548598620737716937155', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 50, 'isogeny_degrees': [1, 3], 'jinv': [34295, 22], 'lmfdb_iso': '26950.by', 'lmfdb_label': '26950.by2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 2, 1], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '88.2.0.?', '105.8.0.?', '264.8.0.?', '9240.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6792528015706841834660743132', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 13475], [5, 10, 1078], [7, 26, 550], [11, 12, 2450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0534696211140205076089668890', 'prec': 103}, 'szpiro_ratio': 2.483605258019716, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 1, 1, 0, -1, -2, 5, 0, 0, 1, 0, 1, 7, 0], 'aplist': [1, -2, 0, 0, -1, 5, 0, 7, -3, 3, -5, 4, -12, -5, 0, -6, -12, 10, -14, 3, 8, -4, -15, -3, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 26950, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '26950.by', 'trace_hash': 793145413355545288}
• 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': '0.68697992325959399904427303864', 'prec': 103}, 'conductor': 26950, 'gens': [[79, 705, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6792528015706841834660743132', 'prec': 100}], 'lmfdb_label': '26950.by2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1237260955938421213287358580', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0214925796357759424505778966424622332', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [5, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [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': '26950.by2'}
• ec_torsion_growth •

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

  
  
  • id: 1351114
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '26950.by2', 'torsion': [3]}
  • id: 1351115
    {'degree': 3, 'field': [-10, -5, 0, 1], 'lmfdb_label': '26950.by2', 'torsion': [2]}
  • id: 1351116
    {'degree': 6, 'field': [22, 0, 37, 0, 4, 0, 1], 'lmfdb_label': '26950.by2', 'torsion': [2, 2]}
  • id: 1351117
    {'degree': 6, 'field': [144, -1488, -1160, -315, -5, -3, 1], 'lmfdb_label': '26950.by2', 'torsion': [3]}
  • id: 1351118
    {'degree': 6, 'field': [2151, 79, -125, 50, 5, -1, 1], 'lmfdb_label': '26950.by2', 'torsion': [6]}
  • id: 1351119
    {'degree': 12, 'field': [-258827800, 0, 43278025, 0, -1620675, 0, 17150, 0, 1470, 0, -35, 0, 1], 'lmfdb_label': '26950.by2', 'torsion': [4]}
  • id: 1351121
    {'degree': 12, 'field': [458599, -71502, 108017, -87450, 81300, -49422, 23881, -6726, 2160, -330, 77, -6, 1], 'lmfdb_label': '26950.by2', 'torsion': [2, 6]}
  • id: 1351120
    {'degree': 12, 'field': [4028049, 1932741, 1031643, 346680, 56565, -53379, 9624, -2613, -95, -30, 13, -3, 1], 'lmfdb_label': '26950.by2', 'torsion': [3, 3]}
  • id: 1351122
    {'degree': 18, 'field': [3596996, -4708548, 3196380, -2347274, 1506000, -512988, 373859, -132465, 66867, -31905, 5865, -6375, 1390, -150, 375, -14, -33, 0, 1], 'lmfdb_label': '26950.by2', 'torsion': [9]}
  • id: 1351123
    {'degree': 18, 'field': [68702146164, 132851179512, -136624640220, -10954520058, 33195266290, -3460615778, -3115707504, 622532450, 118413506, -37314465, -1686815, 1195270, 21790, -36270, 680, 872, -84, -5, 1], 'lmfdb_label': '26950.by2', 'torsion': [6]}
• 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: 621445
    {'conductor': 26950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '26950.by2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 621446
    {'conductor': 26950, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '26950.by2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 621447
    {'conductor': 26950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '26950.by2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 621448
    {'conductor': 26950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '26950.by2', 'prime': 11, '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: 1843721
    {'adelic_gens': [[4, 3, 9, 7], [4621, 2646, 5943, 7939], [5811, 3962, 1330, 2647], [2521, 2646, 8883, 7939], [2311, 2646, 0, 1], [1926, 721, 385, 771], [9235, 6, 9234, 7], [1, 6, 0, 1], [3959, 0, 0, 9239], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '9240.16.0.?', 'conductor': 26950, 'lmfdb_label': '26950.by2', 'prime': 0}
  • id: 122049
    {'conductor': 26950, 'elladic_image': '3.4.0.1', 'lmfdb_label': '26950.by2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1288407
    {'lmfdb_iso': '26950.by', 'p': 13, 'prec': 20, 'unit': 776656175268347041732, 'val': 1}
  • id: 1288399
    {'lmfdb_iso': '26950.by', 'p': 19, 'prec': 20, 'unit': 877158191891082926873401, 'val': 1}
  • id: 1288412
    {'lmfdb_iso': '26950.by', 'p': 23, 'prec': 20, 'unit': 2285597346467419632113437, 'val': 1}
  • id: 1288406
    {'lmfdb_iso': '26950.by', 'p': 29, 'prec': 20, 'unit': 4010084565736403221398750273, 'val': 1}
  • id: 1288416
    {'lmfdb_iso': '26950.by', 'p': 31, 'prec': 20, 'unit': 581186310417120403000528237, 'val': 1}
  • id: 1288402
    {'lmfdb_iso': '26950.by', 'p': 37, 'prec': 20, 'unit': 507836079430540687676396975726, 'val': 1}
  • id: 1288404
    {'lmfdb_iso': '26950.by', 'p': 41, 'prec': 20, 'unit': 2391738973277605959362469509253, 'val': 1}
  • id: 1288405
    {'lmfdb_iso': '26950.by', 'p': 43, 'prec': 20, 'unit': 8287432255746250116604681091040, 'val': 1}
  • id: 1288410
    {'lmfdb_iso': '26950.by', 'p': 53, 'prec': 20, 'unit': 517397544985229490570192986039311, 'val': 1}
  • id: 1288414
    {'lmfdb_iso': '26950.by', 'p': 59, 'prec': 20, 'unit': 1710476715972293113260415151685118, 'val': 1}
  • id: 1288415
    {'lmfdb_iso': '26950.by', 'p': 61, 'prec': 20, 'unit': 1130839257027794093464902623588644, 'val': 1}
  • id: 1288401
    {'lmfdb_iso': '26950.by', 'p': 67, 'prec': 20, 'unit': 31620535526607255232174664472029429, 'val': 1}
  • id: 1288403
    {'lmfdb_iso': '26950.by', 'p': 71, 'prec': 20, 'unit': 105232619258874738457475801017629592, 'val': 1}
  • id: 1288411
    {'lmfdb_iso': '26950.by', 'p': 73, 'prec': 20, 'unit': 10245592453828178068421832898125125, 'val': 1}
  • id: 1288408
    {'lmfdb_iso': '26950.by', 'p': 79, 'prec': 20, 'unit': 520592274782736140082107842133629, 'val': 1}
  • id: 1288409
    {'lmfdb_iso': '26950.by', 'p': 83, 'prec': 20, 'unit': 148461039027460683558026584498009648, 'val': 1}
  • id: 1288413
    {'lmfdb_iso': '26950.by', 'p': 89, 'prec': 20, 'unit': 252981258490659426995237845035670370, 'val': 1}
  • id: 1288400
    {'lmfdb_iso': '26950.by', 'p': 97, 'prec': 20, 'unit': 47448781414361544259854977707434958568, 'val': 1}