Elliptic curve data - 36414.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '36414bi', 'Clabel': '36414bi6', 'Cnumber': 6, 'abc_quality': 1.0530860389430399, 'absD': 16433133796861801362, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5712, 'ainvs': [1, -1, 0, -2377368, 1397937366], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 36414, 'degree': 1310720, 'elladic_images': ['8.48.0.217'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5015876000598560493724770426', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [84448510979617, 933897762], 'lmfdb_iso': '36414.k', 'lmfdb_label': '36414.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -914, -10915], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.p.1', '112.96.1.?', '204.12.0.?', '408.96.0.?', '5712.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0076362283857132334285441356', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53567478369769316355008711520', 'prec': 103}, 'szpiro_ratio': 5.2994059979494335, '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, -1, 0, 2, -4, 0, 6, -1, 0, 1, 0, 0, -4, -2], 'aplist': [-1, 0, -2, 1, -4, 6, 0, -4, 8, -2, 0, 10, -6, -4, 0, -6, -4, -6, 4, 8, -10, 0, 4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 36414, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '36414.k', 'trace_hash': 504926772093646156}
• 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': '0.0067165865986864171332573019169', 'prec': 110}, 'conductor': 36414, 'gens': [[693, 8757, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0076362283857132334285441356', 'prec': 100}], 'lmfdb_label': '36414.k2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22082231685091386984123138057', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5601370639207964800871971811737852497', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[3843, -3843, 2]], 'xcoord_integral_points': [-497, 693, 1267]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 0], '3': 'a', '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '36414.k2'}
• ec_torsion_growth •

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

  
  
  • id: 1804391
    {'degree': 2, 'field': [-102, 0, 1], 'lmfdb_label': '36414.k2', 'torsion': [4]}
  • id: 1804390
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '36414.k2', 'torsion': [8]}
  • id: 1804389
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '36414.k2', 'torsion': [2, 2]}
  • id: 1804392
    {'degree': 4, 'field': [625, 0, -52, 0, 1], 'lmfdb_label': '36414.k2', 'torsion': [2, 8]}
  • id: 1804396
    {'degree': 8, 'field': [-29652, 12124, 1036, 876, -626, -26, 21, -2, 1], 'lmfdb_label': '36414.k2', 'torsion': [6]}
  • id: 1804395
    {'degree': 8, 'field': [8836, 0, -8076, 0, 1258, 0, -66, 0, 1], 'lmfdb_label': '36414.k2', 'torsion': [16]}
  • id: 1804393
    {'degree': 8, 'field': [27991, -9092, 10102, -2072, 1167, -160, 58, -4, 1], 'lmfdb_label': '36414.k2', 'torsion': [2, 4]}
  • id: 1804394
    {'degree': 8, 'field': [29139, -8484, 9502, -2088, 1175, -160, 58, -4, 1], 'lmfdb_label': '36414.k2', 'torsion': [8]}
  • id: 1804399
    {'degree': 16, 'field': [-42839, -10632, 850804, 1236848, -1654208, -3952088, -1358908, 1377848, 968634, 6680, -112316, -12752, 5056, 616, -108, -8, 1], 'lmfdb_label': '36414.k2', 'torsion': [2, 16]}
  • id: 1804400
    {'degree': 16, 'field': [16, 0, -16000, 0, 31994000, 0, -3999600, 0, 520001, 0, -30000, 0, 1700, 0, -40, 0, 1], 'lmfdb_label': '36414.k2', 'torsion': [2, 16]}
  • id: 1804398
    {'degree': 16, 'field': [1562500, 0, 0, 0, 0, 0, 0, 0, 2498, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '36414.k2', 'torsion': [2, 8]}
  • id: 1804403
    {'degree': 16, 'field': [200407596, -392877720, -198137564, 108454208, 41490208, -14665040, -2724076, 808252, -491338, 271612, -62044, 10616, -1997, -100, 46, -4, 1], 'lmfdb_label': '36414.k2', 'torsion': [12]}
  • id: 1804397
    {'degree': 16, 'field': [453498921, -336750408, 445837656, -237735096, 169863496, -67196040, 32814816, -9774112, 3539033, -790360, 219716, -35704, 7710, -840, 140, -8, 1], 'lmfdb_label': '36414.k2', 'torsion': [4, 8]}
  • id: 1804401
    {'degree': 16, 'field': [515554928, -871233568, 461055696, -74146592, 4172160, 10853328, -10146168, -134680, 577872, 117008, -36780, 4044, -1071, -80, 30, -4, 1], 'lmfdb_label': '36414.k2', 'torsion': [2, 6]}
  • id: 1804402
    {'degree': 16, 'field': [705858624, 0, -427793667, 0, 119703034, 0, -18984381, 0, 1857195, 0, -116057, 0, 4551, 0, -102, 0, 1], 'lmfdb_label': '36414.k2', 'torsion': [24]}
• 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: 858349
    {'conductor': 36414, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '36414.k2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 858350
    {'conductor': 36414, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '36414.k2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 858351
    {'conductor': 36414, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '36414.k2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 858352
    {'conductor': 36414, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '36414.k2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1907519
    {'adelic_gens': [[1903, 0, 0, 5711], [1, 16, 0, 1], [3023, 0, 0, 5711], [5697, 16, 5696, 17], [1735, 3264, 1326, 1225], [5356, 4233, 4539, 3418], [1, 0, 16, 1], [15, 2, 5614, 5699], [3265, 3264, 2040, 3265], [5, 4, 5708, 5709]], 'adelic_image': '5712.192.1.?', 'conductor': 36414, 'lmfdb_label': '36414.k2', 'prime': 0}
  • id: 161375
    {'conductor': 36414, 'elladic_image': '8.48.0.217', 'lmfdb_label': '36414.k2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1791928
    {'lmfdb_iso': '36414.k', 'p': 5, 'prec': 20, 'unit': 2317454994837, 'val': 1}
  • id: 1791934
    {'lmfdb_iso': '36414.k', 'p': 11, 'prec': 20, 'unit': 25717531434626015855, 'val': 1}
  • id: 1791932
    {'lmfdb_iso': '36414.k', 'p': 13, 'prec': 20, 'unit': 528678255784876855343, 'val': 1}
  • id: 1791935
    {'lmfdb_iso': '36414.k', 'p': 19, 'prec': 20, 'unit': 1830069076335072516306503, 'val': 1}
  • id: 1791938
    {'lmfdb_iso': '36414.k', 'p': 23, 'prec': 20, 'unit': 30792980389443681054731958, 'val': 1}
  • id: 1791933
    {'lmfdb_iso': '36414.k', 'p': 29, 'prec': 20, 'unit': 1193933910224696041036756180, 'val': 1}
  • id: 1791942
    {'lmfdb_iso': '36414.k', 'p': 37, 'prec': 20, 'unit': 373086007181740178727621786465, 'val': 1}
  • id: 1791930
    {'lmfdb_iso': '36414.k', 'p': 41, 'prec': 20, 'unit': 4058847169195933614259836615208, 'val': 1}
  • id: 1791931
    {'lmfdb_iso': '36414.k', 'p': 43, 'prec': 20, 'unit': 232295900346113328646052744581, 'val': 1}
  • id: 1791936
    {'lmfdb_iso': '36414.k', 'p': 53, 'prec': 20, 'unit': 275831863928687838924332189425348, 'val': 1}
  • id: 1791940
    {'lmfdb_iso': '36414.k', 'p': 59, 'prec': 20, 'unit': 688476232346975697877840101817540, 'val': 1}
  • id: 1791941
    {'lmfdb_iso': '36414.k', 'p': 61, 'prec': 20, 'unit': 3986488439938232934189326096709916, 'val': 1}
  • id: 1791927
    {'lmfdb_iso': '36414.k', 'p': 67, 'prec': 20, 'unit': 25166882429625657471915648665039974, 'val': 1}
  • id: 1791929
    {'lmfdb_iso': '36414.k', 'p': 71, 'prec': 20, 'unit': 65525213644558986080951322739322516, 'val': 1}
  • id: 1791937
    {'lmfdb_iso': '36414.k', 'p': 73, 'prec': 20, 'unit': 242357676067695237798722574167245068, 'val': 1}
  • id: 1791926
    {'lmfdb_iso': '36414.k', 'p': 83, 'prec': 20, 'unit': 180730894731087313653225176088823213, 'val': 1}
  • id: 1791939
    {'lmfdb_iso': '36414.k', 'p': 89, 'prec': 20, 'unit': 10908125383544440399157272545738232709, 'val': 1}
  • id: 1791925
    {'lmfdb_iso': '36414.k', 'p': 97, 'prec': 20, 'unit': 25326666450006322939754657795973244470, 'val': 1}