Elliptic curve data - 130050.gu1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '130050v', 'Clabel': '130050v2', 'Cnumber': 2, 'abc_quality': 0.9569005082223869, 'absD': 83318000426827776000, 'adelic_genus': 17, 'adelic_index': 576, 'adelic_level': 2040, 'ainvs': [1, -1, 1, -1718015, 972078887], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 17, 'class_size': 2, 'cm': 0, 'conductor': 130050, 'degree': 4993920, 'elladic_images': ['17.72.1.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5522968706287695699463964395', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 17, 'intrinsic_torsion': 1, 'iso_nlabel': 176, 'isogeny_degrees': [1, 17], 'jinv': [-882216989, 131072], 'lmfdb_iso': '130050.gu', 'lmfdb_label': '130050.gu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -660, -7600], 'min_quad_twist_disc': -51, 'modell_images': ['17B.4.2'], 'modm_images': ['17.72.1.b.2', '40.2.0.a.1', '85.144.5.?', '136.144.5.?', '255.288.5.?', '680.288.17.?', '2040.576.17.?'], 'nonmax_primes': [17], 'nonmax_rad': 17, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.31813461217941449078466920898', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 13005], [3, 6, 14450], [5, 10, 5202], [17, 114, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28817764785128775623443909085', 'prec': 107}, 'szpiro_ratio': 4.663185770617153, '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, 0, 0, 3, 1, 0, 0, -3, 0, -3, 3, 0, 1, 0, 0, -4, 0], 'aplist': [1, 0, 0, 3, -3, -3, 0, -4, 5, 8, 8, 2, -6, -10, -3, -3, -11, 12, -8, 12, -2, 14, -16, -5, -18], 'class_deg': 17, 'class_size': 2, 'conductor': 130050, 'isogeny_matrix': [[1, 17], [17, 1]], 'lmfdb_iso': '130050.gu', 'trace_hash': 1657549310831589700}
• 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': '0.0060688039190629887630208651358', 'prec': 110}, 'conductor': 130050, 'gens': [[795, 10006, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.31813461217941449078466920898', 'prec': 103}], 'lmfdb_label': '130050.gu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18559734563216241656489479811', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.045167673140214627976913271133124546', 'prec': 130}, 'tamagawa_product': 204, 'torsion_generators': [], 'xcoord_integral_points': [-1517, 723, 795, 81715]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '130050.gu1'}
• ec_torsion_growth •

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

  
  
  • id: 5910394
    {'degree': 3, 'field': [-34, -17, 0, 1], 'lmfdb_label': '130050.gu1', 'torsion': [2]}
  • id: 5910395
    {'degree': 6, 'field': [10, 0, 61, 0, -8, 0, 1], 'lmfdb_label': '130050.gu1', 'torsion': [2, 2]}
  • id: 5910396
    {'degree': 8, 'field': [-1944, 2976, -1320, 294, -186, 24, 15, -4, 1], 'lmfdb_label': '130050.gu1', 'torsion': [3]}
  • id: 5910397
    {'degree': 8, 'field': [256, -1696, 3560, -2764, 474, 261, -75, -1, 1], 'lmfdb_label': '130050.gu1', 'torsion': [17]}
  • id: 5910398
    {'degree': 12, 'field': [-16235504, 17584816, -9771876, 4450760, -1648860, 413476, -72429, 12214, -1495, -80, 39, -6, 1], 'lmfdb_label': '130050.gu1', '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: 3206476
    {'conductor': 130050, 'conductor_valuation': 1, 'discriminant_valuation': 17, 'j_denominator_valuation': 17, 'kodaira_symbol': 21, 'lmfdb_label': '130050.gu1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 17}
  • id: 3206477
    {'conductor': 130050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '130050.gu1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3206478
    {'conductor': 130050, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '130050.gu1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3206479
    {'conductor': 130050, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '130050.gu1', 'prime': 17, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2511366
    {'adelic_gens': [[1, 1530, 0, 1], [1, 702, 0, 1], [817, 0, 0, 1633], [1, 0, 1360, 1], [1, 0, 1530, 1], [1919, 1224, 1224, 143], [679, 0, 0, 2039], [103, 714, 1479, 1939], [1225, 816, 1224, 1225], [1, 816, 0, 1], [256, 1785, 1479, 1], [1429, 306, 765, 1939], [511, 510, 1530, 1531], [1441, 1122, 1377, 1891], [681, 1360, 680, 681]], 'adelic_image': '2040.576.17.?', 'conductor': 130050, 'lmfdb_label': '130050.gu1', 'prime': 0}
  • id: 506763
    {'conductor': 130050, 'elladic_image': '17.72.1.2', 'lmfdb_label': '130050.gu1', 'modell_image': '17B.4.2', 'prime': 17}
• lmfdb_iso 130050.gu does not appear in ec_padic