Elliptic curve data - 650.a1

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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': '650c', 'Clabel': '650c1', 'Cnumber': 1, 'abc_quality': 0.9128220072879926, 'absD': 8450, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [1, -1, 0, -22, 46], 'analytic_rank': 1, 'bad_primes': [2, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 650, 'degree': 120, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.41307476288210658637879110472', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-48317985, 338], 'lmfdb_iso': '650.a', 'lmfdb_label': '650.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -22, 46], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.13025997543127621910333339771', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68131441495445664881225099359', 'prec': 107}, 'szpiro_ratio': 3.2305534913446285, '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, -3, 1, 0, 3, 0, -1, 6, 0, -3, -3, -1, 0, 0, 1, 7, -6, 1, 0], 'aplist': [-1, -3, 0, 0, -3, -1, 7, 1, 4, 4, -10, -12, -5, -12, 4, -6, -4, 4, 5, 0, 11, 4, -15, -11, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 650, 'isogeny_matrix': [[1]], 'lmfdb_iso': '650.a', 'trace_hash': 541332268380603096}
• 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': '2.2845053542872129354457677955', 'prec': 100}, 'conductor': 650, 'gens': [[5, 4, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.13025997543127621910333339771', 'prec': 103}], 'lmfdb_label': '650.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '4.1558626857110766254897782350', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0826851426729648893309614816599345219', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-5, 3, 5]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 1, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [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, 0]}, 'iwp0': 0, 'lmfdb_label': '650.a1'}
• ec_torsion_growth •

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

  
  
  • id: 29984
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '650.a1', 'torsion': [2]}
  • id: 29985
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '650.a1', 'torsion': [2, 2]}
  • id: 29986
    {'degree': 8, 'field': [-914, 359, 319, -259, 25, 41, -11, -1, 1], 'lmfdb_label': '650.a1', 'torsion': [3]}
  • id: 29987
    {'degree': 12, 'field': [-194, 444, -451, -500, 555, -896, 811, -464, 175, -40, 9, -4, 1], 'lmfdb_label': '650.a1', '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: 7866
    {'conductor': 650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '650.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7867
    {'conductor': 650, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '650.a1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7868
    {'conductor': 650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '650.a1', 'prime': 13, '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: 1668829
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 650, 'lmfdb_label': '650.a1', 'prime': 0}
  • id: 2936
    {'conductor': 650, 'elladic_image': '8.2.0.1', 'lmfdb_label': '650.a1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

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

  
  
  • id: 11546
    {'lmfdb_iso': '650.a', 'p': 11, 'prec': 20, 'unit': 29091035994842441146, 'val': 1}
  • id: 11547
    {'lmfdb_iso': '650.a', 'p': 17, 'prec': 20, 'unit': 111976790108232683261466, 'val': 1}
  • id: 11548
    {'lmfdb_iso': '650.a', 'p': 19, 'prec': 20, 'unit': 5466939321807360116995478, 'val': -1}
  • id: 11552
    {'lmfdb_iso': '650.a', 'p': 23, 'prec': 20, 'unit': 37772134445005008087838348, 'val': 1}
  • id: 11544
    {'lmfdb_iso': '650.a', 'p': 29, 'prec': 20, 'unit': 167605252649099022184138950, 'val': 1}
  • id: 11556
    {'lmfdb_iso': '650.a', 'p': 31, 'prec': 20, 'unit': 1142282065724297781962488286, 'val': 1}
  • id: 11541
    {'lmfdb_iso': '650.a', 'p': 37, 'prec': 20, 'unit': 170404906106699872911023545066, 'val': 1}
  • id: 11542
    {'lmfdb_iso': '650.a', 'p': 41, 'prec': 20, 'unit': 2508103694894795580801904226165, 'val': 1}
  • id: 11543
    {'lmfdb_iso': '650.a', 'p': 43, 'prec': 20, 'unit': 4489813157346464120456389458068, 'val': 1}
  • id: 11554
    {'lmfdb_iso': '650.a', 'p': 47, 'prec': 20, 'unit': 30215271135688869262149077313199, 'val': 1}
  • id: 11549
    {'lmfdb_iso': '650.a', 'p': 53, 'prec': 20, 'unit': 544653207617120937233145679153948, 'val': 1}
  • id: 11550
    {'lmfdb_iso': '650.a', 'p': 59, 'prec': 20, 'unit': 542665413732413505048640380376024, 'val': 1}
  • id: 11555
    {'lmfdb_iso': '650.a', 'p': 61, 'prec': 20, 'unit': 6395982398593588203305288270582645, 'val': 1}
  • id: 11540
    {'lmfdb_iso': '650.a', 'p': 67, 'prec': 20, 'unit': 42678858170391244862293355672624609, 'val': 1}
  • id: 11551
    {'lmfdb_iso': '650.a', 'p': 73, 'prec': 20, 'unit': 52083356336342493865902776620642126, 'val': 1}
  • id: 11545
    {'lmfdb_iso': '650.a', 'p': 79, 'prec': 20, 'unit': 972302859034994375003698798351171178, 'val': 1}
  • id: 11539
    {'lmfdb_iso': '650.a', 'p': 83, 'prec': 20, 'unit': 323122745167875104929484768708121119, 'val': 1}
  • id: 11553
    {'lmfdb_iso': '650.a', 'p': 89, 'prec': 20, 'unit': 5886063632366805190789264791992118933, 'val': 1}
  • id: 11538
    {'lmfdb_iso': '650.a', 'p': 97, 'prec': 20, 'unit': 18561407390088209607253643348965180619, 'val': 1}