Elliptic curve data - 37026.y2

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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': '37026bm', 'Clabel': '37026bm2', 'Cnumber': 2, 'abc_quality': 1.013375978983816, 'absD': 7251989737331519668224, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [1, -1, 1, -95578286, -359608484419], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 37026, 'degree': 5160960, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2439479046591175992419350635', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [74768347616680342513, 5615307472896], 'lmfdb_iso': '37026.y', 'lmfdb_label': '37026.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -87767, -10014615], 'min_quad_twist_disc': 33, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '68.12.0.b.1', '132.12.0.?', '136.24.0.?', '264.24.0.?', '2244.24.0.?', '4488.48.0.?'], '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': '4.7941076810078231942151025137', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1089], [3, 8, 4114], [7, 2, 18513], [11, 72, 306], [17, 18, 2178]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4956941239258774815133406561', 'prec': 100}, 'szpiro_ratio': 6.344480310811918, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -4, 1, 0, -2, 0, 0, 2, -4, 0, 1, 1, 0, 4, -2], 'aplist': [1, 0, -2, -4, 0, 2, 1, 4, 4, 2, -4, -6, -6, 4, 0, -6, -4, 6, -4, -4, -10, -4, 12, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 37026, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '37026.y', 'trace_hash': 1299377050758558096}
• 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': '0.0015217476888774287296284583073', 'prec': 110}, 'conductor': 37026, 'gens': [[-5639, 7603, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.7941076810078231942151025137', 'prec': 100}], 'lmfdb_label': '37026.y2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.048284940726261910715061028424', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4815297459578312372817430834974685080', 'prec': 130}, 'tamagawa_product': 448, 'torsion_generators': [[-5607, 2803, 1], [11289, -5645, 1]], 'xcoord_integral_points': [-5639, -5607, 11289, 33597]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1], '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [2, 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': '37026.y2'}
• ec_torsion_growth •

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

  
  
  • id: 1831790
    {'degree': 4, 'field': [64, 0, -50, 0, 1], 'lmfdb_label': '37026.y2', 'torsion': [2, 4]}
  • id: 1831789
    {'degree': 4, 'field': [102, 12, -11, -2, 1], 'lmfdb_label': '37026.y2', 'torsion': [2, 4]}
  • id: 1831788
    {'degree': 4, 'field': [1402, -58, 59, -2, 1], 'lmfdb_label': '37026.y2', 'torsion': [2, 4]}
  • id: 1831791
    {'degree': 8, 'field': [-62, 200, -212, 23, -8, -7, 7, -4, 1], 'lmfdb_label': '37026.y2', 'torsion': [2, 6]}
  • id: 1831794
    {'degree': 16, 'field': [2663424, 0, -574464, 0, 381856, 0, 36928, 0, 8388, 0, -112, 0, -132, 0, -8, 0, 1], 'lmfdb_label': '37026.y2', 'torsion': [2, 8]}
  • id: 1831795
    {'degree': 16, 'field': [3686400, 0, 13959168, 0, -96821024, 0, -18984704, 0, 5099492, 0, -5360, 0, -5548, 0, -8, 0, 1], 'lmfdb_label': '37026.y2', 'torsion': [2, 8]}
  • id: 1831792
    {'degree': 16, 'field': [65548800, -50618880, 64329408, -28527072, 16985458, -3145212, 846258, 171524, -35431, -12916, 10094, -3556, 168, 168, -4, -8, 1], 'lmfdb_label': '37026.y2', 'torsion': [4, 4]}
  • id: 1831793
    {'degree': 16, 'field': [115108768, -26973968, 70512260, -7833600, -8659988, 2808584, 22017, 156958, 39507, -22940, 576, -4, 88, 60, -13, -2, 1], 'lmfdb_label': '37026.y2', '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: 873067
    {'conductor': 37026, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '37026.y2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 873068
    {'conductor': 37026, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '37026.y2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 873069
    {'conductor': 37026, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '37026.y2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 873070
    {'conductor': 37026, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '37026.y2', '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: 1911431
    {'adelic_gens': [[1, 0, 4, 1], [4079, 0, 0, 4487], [1057, 2178, 0, 1], [1, 4, 0, 1], [1495, 0, 0, 4487], [3367, 4356, 4422, 4225], [4423, 2178, 2310, 2311], [4485, 4, 4484, 5]], 'adelic_image': '4488.48.0.?', 'conductor': 37026, 'lmfdb_label': '37026.y2', 'prime': 0}
  • id: 163723
    {'conductor': 37026, 'elladic_image': '8.12.0.4', 'lmfdb_label': '37026.y2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1823332
    {'lmfdb_iso': '37026.y', 'p': 5, 'prec': 20, 'unit': 3096008380646, 'val': 1}
  • id: 1823333
    {'lmfdb_iso': '37026.y', 'p': 7, 'prec': 20, 'unit': 76138358892433787, 'val': 0}
  • id: 1823338
    {'lmfdb_iso': '37026.y', 'p': 13, 'prec': 20, 'unit': 1081157998640832862108, 'val': 1}
  • id: 1823329
    {'lmfdb_iso': '37026.y', 'p': 19, 'prec': 20, 'unit': 1759671344099566515139295, 'val': 1}
  • id: 1823343
    {'lmfdb_iso': '37026.y', 'p': 23, 'prec': 20, 'unit': 47327387324095294441230423, 'val': 1}
  • id: 1823337
    {'lmfdb_iso': '37026.y', 'p': 29, 'prec': 20, 'unit': 5102799226272131273478537395, 'val': 1}
  • id: 1823334
    {'lmfdb_iso': '37026.y', 'p': 31, 'prec': 20, 'unit': 20244174708577782913777988124, 'val': 1}
  • id: 1823348
    {'lmfdb_iso': '37026.y', 'p': 37, 'prec': 20, 'unit': 595180316973601729129722890289, 'val': 1}
  • id: 1823335
    {'lmfdb_iso': '37026.y', 'p': 41, 'prec': 20, 'unit': 3120492537303740004514715878138, 'val': 1}
  • id: 1823336
    {'lmfdb_iso': '37026.y', 'p': 43, 'prec': 20, 'unit': 10458300821055317798164404851464, 'val': 1}
  • id: 1823341
    {'lmfdb_iso': '37026.y', 'p': 53, 'prec': 20, 'unit': 551314150875997742398540011501063, 'val': 1}
  • id: 1823346
    {'lmfdb_iso': '37026.y', 'p': 59, 'prec': 20, 'unit': 2494716841693673667941810313024575, 'val': 1}
  • id: 1823347
    {'lmfdb_iso': '37026.y', 'p': 61, 'prec': 20, 'unit': 2944129958629733889960943673552968, 'val': 1}
  • id: 1823331
    {'lmfdb_iso': '37026.y', 'p': 67, 'prec': 20, 'unit': 10209669400183853403507489618037574, 'val': 1}
  • id: 1823345
    {'lmfdb_iso': '37026.y', 'p': 71, 'prec': 20, 'unit': 35031711634034062723165808861565509, 'val': 1}
  • id: 1823342
    {'lmfdb_iso': '37026.y', 'p': 73, 'prec': 20, 'unit': 111971845510027499138913303011293862, 'val': 1}
  • id: 1823339
    {'lmfdb_iso': '37026.y', 'p': 79, 'prec': 20, 'unit': 65156893572285267786888152910551580, 'val': 1}
  • id: 1823340
    {'lmfdb_iso': '37026.y', 'p': 83, 'prec': 20, 'unit': 1361854755691773375262064909183307050, 'val': 1}
  • id: 1823344
    {'lmfdb_iso': '37026.y', 'p': 89, 'prec': 20, 'unit': 5470262987461749824439973784334609040, 'val': 1}
  • id: 1823330
    {'lmfdb_iso': '37026.y', 'p': 97, 'prec': 20, 'unit': 22123848746259720545426813665448266148, 'val': 1}