Elliptic curve isogeny class data - 112530.bg

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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, 1, 1, 1, -1, 2, -1, 1, -1, 0, 1, 6, -2, 1, 1, -8, -1, 0, 1], 'aplist': [-1, 1, 1, 2, 0, 6, -8, 0, 4, 10, 1, -2, -12, -4, 8, -6, 0, -12, 8, -8, -14, -10, 6, -10, -2], 'class_deg': 10, 'class_size': 4, 'conductor': 112530, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '112530.bg', 'trace_hash': 1767932173507761339}
• ec_padic •

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

  
  
  • id: 5872997
    {'lmfdb_iso': '112530.bg', 'p': 7, 'prec': 20, 'unit': 580173547765937, 'val': 1}
  • id: 5873001
    {'lmfdb_iso': '112530.bg', 'p': 13, 'prec': 20, 'unit': 1022260052326253439680, 'val': 1}
  • id: 5873003
    {'lmfdb_iso': '112530.bg', 'p': 17, 'prec': 20, 'unit': 233054785940213042951145, 'val': 1}
  • id: 5873007
    {'lmfdb_iso': '112530.bg', 'p': 23, 'prec': 20, 'unit': 33757121072771595617822027, 'val': 1}
  • id: 5873000
    {'lmfdb_iso': '112530.bg', 'p': 29, 'prec': 20, 'unit': 4803659562974516823319397097, 'val': 1}
  • id: 5872996
    {'lmfdb_iso': '112530.bg', 'p': 37, 'prec': 20, 'unit': 471856186743790267428078680926, 'val': 1}
  • id: 5872998
    {'lmfdb_iso': '112530.bg', 'p': 41, 'prec': 20, 'unit': 4223771485538954576942675773943, 'val': 1}
  • id: 5872999
    {'lmfdb_iso': '112530.bg', 'p': 43, 'prec': 20, 'unit': 6065800919590366075168464539478, 'val': 1}
  • id: 5873002
    {'lmfdb_iso': '112530.bg', 'p': 47, 'prec': 20, 'unit': 28560633520717520197156715219872, 'val': 1}
  • id: 5873005
    {'lmfdb_iso': '112530.bg', 'p': 53, 'prec': 20, 'unit': 445311796928630338194790055657066, 'val': 1}
  • id: 5873011
    {'lmfdb_iso': '112530.bg', 'p': 61, 'prec': 20, 'unit': 2902877832759488626138907731532524, 'val': 1}
  • id: 5872995
    {'lmfdb_iso': '112530.bg', 'p': 67, 'prec': 20, 'unit': 13639724502237170120154121822129789, 'val': 1}
  • id: 5873009
    {'lmfdb_iso': '112530.bg', 'p': 71, 'prec': 20, 'unit': 54345777270509036791165236368609739, 'val': 1}
  • id: 5873006
    {'lmfdb_iso': '112530.bg', 'p': 73, 'prec': 20, 'unit': 152430330042793265362010092199167312, 'val': 1}
  • id: 5873010
    {'lmfdb_iso': '112530.bg', 'p': 79, 'prec': 20, 'unit': 526915883675191513483432849418580781, 'val': 1}
  • id: 5873004
    {'lmfdb_iso': '112530.bg', 'p': 83, 'prec': 20, 'unit': 1573881006473784931579870058870874541, 'val': 1}
  • id: 5873008
    {'lmfdb_iso': '112530.bg', 'p': 89, 'prec': 20, 'unit': 2406745862991083782991989697664120873, 'val': 1}
  • id: 5872994
    {'lmfdb_iso': '112530.bg', 'p': 97, 'prec': 20, 'unit': 50041052382266744760673586606118181393, '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
  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[]

  
  
  • id: 736796
    {'Ciso': '112530bf', 'Clabel': '112530bf3', 'Cnumber': 3, 'abc_quality': 1.011821271387809, 'absD': 315720421121620031199674640, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 20460, 'ainvs': [1, 0, 1, -1056556878, 13190899053616], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 112530, 'degree': 105600000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9635213864605420741183347708', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'intrinsic_torsion': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [73628549562506871957390001, 178215946908754500240], 'lmfdb_iso': '112530.bg', 'lmfdb_label': '112530.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8731875, -9911311503], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '20.72.0-10.a.1.11', '44.6.0.c.1', '55.24.0-5.a.2.1', '110.72.0.?', '220.144.1.?', '930.72.1.?', '1860.144.1.?', '10230.144.1.?', '20460.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.958977848695477598872621015', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 56265], [3, 4, 37510], [5, 6, 726], [11, 72, 930], [31, 32, 3630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7645737500613568020873629818', 'prec': 100}, 'szpiro_ratio': 6.357888816992408, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 736797
    {'Ciso': '112530bf', 'Clabel': '112530bf4', 'Cnumber': 4, 'abc_quality': 1.028999293653901, 'absD': 210464564254672027133645469900, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 20460, 'ainvs': [1, 0, 1, -666813458, 23045795274368], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 112530, 'degree': 211200000, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3100949767405147288269508315', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'intrinsic_torsion': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-18508902577171306222471921, 118801759721890483665900], 'lmfdb_iso': '112530.bg', 'lmfdb_label': '112530.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5510855, -17315148075], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.72.0-10.a.1.3', '22.6.0.a.1', '55.24.0-5.a.2.1', '110.144.1.?', '1860.144.1.?', '20460.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.4794889243477387994363105074', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 37510], [5, 6, 726], [11, 72, 930], [31, 32, 3630]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1111473403413294567959790425', 'prec': 100}, 'szpiro_ratio': 6.453470875145211, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 736794
    {'Ciso': '112530bf', 'Clabel': '112530bf1', 'Cnumber': 1, 'abc_quality': 0.9854867048946367, 'absD': 5291263428437606400000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 20460, 'ainvs': [1, 0, 1, -58887678, -173903801744], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 112530, 'degree': 21120000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1588024302434918868179551042', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [12747965531857798561201, 2986780262400000], 'lmfdb_iso': '112530.bg', 'lmfdb_label': '112530.bg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -486675, 130612257], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '20.72.0-10.a.2.11', '44.6.0.c.1', '55.24.0-5.a.1.1', '110.72.0.?', '220.144.1.?', '930.72.1.?', '1860.144.1.?', '10230.144.1.?', '20460.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9917955697390955197745242030', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 56265], [3, 4, 37510], [5, 6, 3751], [11, 72, 930], [31, 32, 3630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9598547938443066147869833152', 'prec': 100}, 'szpiro_ratio': 5.6132034969469595, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 736795
    {'Ciso': '112530bf', 'Clabel': '112530bf2', 'Cnumber': 2, 'abc_quality': 0.9920428670213398, 'absD': 11058207399242190000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 20460, 'ainvs': [1, 0, 1, -52072958, -215680761232], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 31], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 112530, 'degree': 42240000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5053760205234645415265711649', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-8814635019030000319921, 6242069790000000000], 'lmfdb_iso': '112530.bg', 'lmfdb_label': '112530.bg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -430355, 162005025], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.72.0-10.a.2.4', '22.6.0.a.1', '55.24.0-5.a.1.1', '110.144.1.?', '1860.144.1.?', '20460.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4958977848695477598872621015', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 37510], [5, 6, 3751], [11, 72, 930], [31, 32, 3630]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3064283841242792694955993759', 'prec': 100}, 'szpiro_ratio': 5.650191401995898, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}