Elliptic curve isogeny class data - 1045.b

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• 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, 0, -3, -3, 1, -1, 0, 2, 0, 0, -1, -6, -3, 1, -1], 'aplist': [1, 0, 1, 0, -1, 2, -6, 1, -8, -6, 4, -2, -10, 4, 0, -2, -8, 14, 8, -4, 2, -16, -4, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 1045, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '1045.b', 'trace_hash': 89484167820100000}
• ec_padic •

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

  
  
  • id: 23994
    {'lmfdb_iso': '1045.b', 'p': 13, 'prec': 20, 'unit': 48387134605679768859, 'val': 2}
  • id: 23996
    {'lmfdb_iso': '1045.b', 'p': 17, 'prec': 20, 'unit': 191137214908475878334340, 'val': 1}
  • id: 24000
    {'lmfdb_iso': '1045.b', 'p': 23, 'prec': 20, 'unit': 52267404802528728270645215, 'val': 1}
  • id: 23993
    {'lmfdb_iso': '1045.b', 'p': 29, 'prec': 20, 'unit': 345046209706737764912339412, 'val': 1}
  • id: 24004
    {'lmfdb_iso': '1045.b', 'p': 31, 'prec': 20, 'unit': 3004674695648024654684704016, 'val': 1}
  • id: 23989
    {'lmfdb_iso': '1045.b', 'p': 37, 'prec': 20, 'unit': 320574506802793872928771388581, 'val': 1}
  • id: 23991
    {'lmfdb_iso': '1045.b', 'p': 41, 'prec': 20, 'unit': 4066735298071223100663364986338, 'val': 1}
  • id: 23992
    {'lmfdb_iso': '1045.b', 'p': 43, 'prec': 20, 'unit': 5125273204847364618594856219046, 'val': 1}
  • id: 23998
    {'lmfdb_iso': '1045.b', 'p': 53, 'prec': 20, 'unit': 377670065232759768866330635460617, 'val': 1}
  • id: 24002
    {'lmfdb_iso': '1045.b', 'p': 59, 'prec': 20, 'unit': 1000491486374762276172043146605379, 'val': 1}
  • id: 24003
    {'lmfdb_iso': '1045.b', 'p': 61, 'prec': 20, 'unit': 5754969843246982122878775838516038, 'val': 1}
  • id: 23988
    {'lmfdb_iso': '1045.b', 'p': 67, 'prec': 20, 'unit': 28301498713088840152661408571871441, 'val': 1}
  • id: 23990
    {'lmfdb_iso': '1045.b', 'p': 71, 'prec': 20, 'unit': 60039084190142991816179459684766854, 'val': 1}
  • id: 23999
    {'lmfdb_iso': '1045.b', 'p': 73, 'prec': 20, 'unit': 42145099187000600724663795378224926, 'val': 1}
  • id: 23995
    {'lmfdb_iso': '1045.b', 'p': 79, 'prec': 20, 'unit': 906478283758850273845027919743210644, 'val': 1}
  • id: 23997
    {'lmfdb_iso': '1045.b', 'p': 83, 'prec': 20, 'unit': 2526386986941259054610109443020715574, 'val': 1}
  • id: 24001
    {'lmfdb_iso': '1045.b', 'p': 89, 'prec': 20, 'unit': 2614586800384778664805849348530802313, 'val': 1}
  • id: 23987
    {'lmfdb_iso': '1045.b', 'p': 97, 'prec': 20, 'unit': 8905861191286106034753378051279609720, 'val': 1}
• 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[]

  
  
  • id: 5374
    {'Ciso': '1045b', 'Clabel': '1045b3', 'Cnumber': 3, 'abc_quality': 1.0275368278125574, 'absD': 15216540068579856875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1672, 'ainvs': [1, -1, 0, -1016789, -346894930], 'analytic_rank': 1, 'bad_primes': [5, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1045, 'degree': 17664, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4089712693847815425058418295', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [116256292809537371612841, 15216540068579856875], 'lmfdb_iso': '1045.b', 'lmfdb_label': '1045.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1016789, -346894930], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '44.24.0-44.h.1.2', '152.24.0.?', '1672.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6552718759833089389679662935', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 2, 11], [3, 2, 55], [5, 6, 209], [11, 12, 95], [19, 20, 55]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4089712693847815425058418295', 'prec': 100}, 'szpiro_ratio': 7.639790670867662, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 5373
    {'Ciso': '1045b', 'Clabel': '1045b2', 'Cnumber': 2, 'abc_quality': 1.0482508895999478, 'absD': 2223652969140625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 836, 'ainvs': [1, -1, 0, -982414, -374539305], 'analytic_rank': 1, 'bad_primes': [5, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1045, 'degree': 8832, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0623976791048088877972257688', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [104859453317683374662841, 2223652969140625], 'lmfdb_iso': '1045.b', 'lmfdb_label': '1045.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -982414, -374539305], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '44.24.0-44.a.1.1', '76.24.0.?', '836.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3276359379916544694839831468', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 2, 1], [3, 2, 55], [5, 6, 209], [11, 12, 95], [19, 20, 55]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0623976791048088877972257688', 'prec': 100}, 'szpiro_ratio': 7.624948950141479, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 5372
    {'Ciso': '1045b', 'Clabel': '1045b1', 'Cnumber': 1, 'abc_quality': 1.0482504438817541, 'absD': 47155625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1672, 'ainvs': [1, -1, 0, -982409, -374543312], 'analytic_rank': 1, 'bad_primes': [5, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1045, 'degree': 4416, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7158240888248362330886097080', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [104857852278310619039721, 47155625], 'lmfdb_iso': '1045.b', 'lmfdb_label': '1045.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -982409, -374543312], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '44.12.0-4.c.1.2', '76.12.0.?', '88.24.0.?', '152.24.0.?', '418.6.0.?', '836.24.0.?', '1672.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6552718759833089389679662935', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 2, 209], [3, 2, 55], [5, 6, 209], [11, 12, 95], [19, 20, 55]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7158240888248362330886097080', 'prec': 100}, 'szpiro_ratio': 7.624946753788142, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 5375
    {'Ciso': '1045b', 'Clabel': '1045b4', 'Cnumber': 4, 'abc_quality': 1.0266820965922903, 'absD': 15323275604248046875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1672, 'ainvs': [1, -1, 0, -948119, -401927292], 'analytic_rank': 1, 'bad_primes': [5, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1045, 'degree': 17664, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4089712693847815425058418295', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [-94256762600623910012361, 15323275604248046875], 'lmfdb_iso': '1045.b', 'lmfdb_label': '1045.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -948119, -401927292], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '38.6.0.b.1', '76.24.0.?', '88.24.0.?', '1672.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6638179689958272347419915734', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 2, 19], [3, 2, 55], [5, 6, 209], [11, 12, 95], [19, 20, 55]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4089712693847815425058418295', 'prec': 100}, 'szpiro_ratio': 7.645228716961291, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}