Elliptic curve data - 36414.r1

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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': '36414a', 'Clabel': '36414a1', 'Cnumber': 1, 'abc_quality': 1.0812089534840204, 'absD': 164794829159345946624, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 24, 'ainvs': [1, -1, 0, -17872545, 29093256829], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 36414, 'degree': 2774016, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8642777692831297570987812996', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1], 'jinv': [-80913561311713458589803, 21119419346321408], 'lmfdb_iso': '36414.r', 'lmfdb_label': '36414.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -17872545, 29093256829], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['24.2.0.b.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2827203076867111828320178759', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 867], [3, 6, 4046], [7, 8, 5202], [17, 66, 126], [43, 2, 18207]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1174224731067329875417142207', 'prec': 100}, 'szpiro_ratio': 5.875663626791087, '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, 0, 1, -1, 0, -1, -1, 0, 1, 3, 0, 4, 1, 0, 1, 0, 0, 6, -1], 'aplist': [-1, 0, -1, -1, 3, 4, 0, 6, 8, 5, -3, 8, -2, -8, -10, -9, 13, -10, 14, -14, -1, 3, -12, 2, -15], 'class_deg': 1, 'class_size': 1, 'conductor': 36414, 'isogeny_matrix': [[1]], 'lmfdb_iso': '36414.r', 'trace_hash': 200014228563406954}
• 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': '0.0032517709005412477462128007710', 'prec': 110}, 'conductor': 36414, 'gens': [[-3763, 209372, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.2827203076867111828320178759', 'prec': 100}], 'lmfdb_label': '36414.r1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17714699031050753765186881223', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4518599738776270461328956956342157414', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-3763]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '36414.r1'}
• ec_torsion_growth •

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

  
  
  • id: 1803847
    {'degree': 3, 'field': [39, -11, -1, 1], 'lmfdb_label': '36414.r1', 'torsion': [2]}
  • id: 1803848
    {'degree': 6, 'field': [24, -120, 142, 52, 15, -2, 1], 'lmfdb_label': '36414.r1', 'torsion': [2, 2]}
  • id: 1803849
    {'degree': 8, 'field': [922, 185, 922, -419, 287, -59, -17, -4, 1], 'lmfdb_label': '36414.r1', 'torsion': [3]}
  • id: 1803850
    {'degree': 12, 'field': [-543669, -516120, -281970, -158712, -70337, -22440, -7652, -2856, -531, 0, -2, 0, 1], 'lmfdb_label': '36414.r1', 'torsion': [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: 858109
    {'conductor': 36414, 'conductor_valuation': 1, 'discriminant_valuation': 43, 'j_denominator_valuation': 43, 'kodaira_symbol': 47, 'lmfdb_label': '36414.r1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 858110
    {'conductor': 36414, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '36414.r1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 858111
    {'conductor': 36414, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '36414.r1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 858112
    {'conductor': 36414, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '36414.r1', 'prime': 17, 'reduction_type': 0, '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

  
  {'adelic_gens': [[7, 2, 0, 1], [1, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [23, 2, 22, 3], [13, 2, 13, 3], [1, 1, 23, 0]], 'adelic_image': '24.2.0.?', 'conductor': 36414, 'lmfdb_label': '36414.r1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1791548
    {'lmfdb_iso': '36414.r', 'p': 5, 'prec': 20, 'unit': 7235976123383, 'val': 1}
  • id: 1791547
    {'lmfdb_iso': '36414.r', 'p': 11, 'prec': 20, 'unit': 14724152558970618692, 'val': 1}
  • id: 1791554
    {'lmfdb_iso': '36414.r', 'p': 13, 'prec': 20, 'unit': 1050965483447799243876, 'val': 1}
  • id: 1791557
    {'lmfdb_iso': '36414.r', 'p': 19, 'prec': 20, 'unit': 576930607425590038234044, 'val': 1}
  • id: 1791560
    {'lmfdb_iso': '36414.r', 'p': 23, 'prec': 20, 'unit': 44225932371044901274423220, 'val': 1}
  • id: 1791553
    {'lmfdb_iso': '36414.r', 'p': 29, 'prec': 20, 'unit': 17716127582047904711067355, 'val': 2}
  • id: 1791550
    {'lmfdb_iso': '36414.r', 'p': 31, 'prec': 20, 'unit': 15516271111974794234495428032, 'val': 1}
  • id: 1791565
    {'lmfdb_iso': '36414.r', 'p': 37, 'prec': 20, 'unit': 92617200957112618741069566493, 'val': 1}
  • id: 1791551
    {'lmfdb_iso': '36414.r', 'p': 41, 'prec': 20, 'unit': 3292400514931852282699153218456, 'val': 1}
  • id: 1791552
    {'lmfdb_iso': '36414.r', 'p': 43, 'prec': 20, 'unit': 7728165730996577573289751135959, 'val': 1}
  • id: 1791562
    {'lmfdb_iso': '36414.r', 'p': 47, 'prec': 20, 'unit': 35183539344037240479198988295002, 'val': 1}
  • id: 1791558
    {'lmfdb_iso': '36414.r', 'p': 53, 'prec': 20, 'unit': 337244283686357514009027130199912, 'val': 1}
  • id: 1791556
    {'lmfdb_iso': '36414.r', 'p': 59, 'prec': 20, 'unit': 1058913527979259101021871531751513, 'val': 1}
  • id: 1791563
    {'lmfdb_iso': '36414.r', 'p': 61, 'prec': 20, 'unit': 1834201774546272809846743464018297, 'val': 1}
  • id: 1791546
    {'lmfdb_iso': '36414.r', 'p': 67, 'prec': 20, 'unit': 11728042198547470720974332159042767, 'val': 1}
  • id: 1791549
    {'lmfdb_iso': '36414.r', 'p': 71, 'prec': 20, 'unit': 143553844249123455885640394498824607, 'val': 1}
  • id: 1791559
    {'lmfdb_iso': '36414.r', 'p': 73, 'prec': 20, 'unit': 22390547958398220698177142636699093, 'val': 1}
  • id: 1791555
    {'lmfdb_iso': '36414.r', 'p': 79, 'prec': 20, 'unit': 1071605386944485980969859972807144383, 'val': 1}
  • id: 1791564
    {'lmfdb_iso': '36414.r', 'p': 83, 'prec': 20, 'unit': 1530526545142531740368815020351264228, 'val': 1}
  • id: 1791561
    {'lmfdb_iso': '36414.r', 'p': 89, 'prec': 20, 'unit': 6457677597401944063551502056032837263, 'val': 1}
  • id: 1791545
    {'lmfdb_iso': '36414.r', 'p': 97, 'prec': 20, 'unit': 35046784306512941405901018418533036788, 'val': 1}