Elliptic curve isogeny class data - 12480.cu

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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, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, -6, 0, -4, 0], 'aplist': [0, 1, 1, 0, 0, -1, -6, -4, 0, 2, 0, 2, -2, 4, 4, 10, -8, 2, 4, -12, -6, 0, 16, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 12480, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '12480.cu', 'trace_hash': 917688858225962491}
• ec_padic •

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

  
  
  • id: 546143
    {'lmfdb_iso': '12480.cu', 'p': 17, 'prec': 20, 'unit': 132496326870044582603761, 'val': 1}
  • id: 546134
    {'lmfdb_iso': '12480.cu', 'p': 19, 'prec': 20, 'unit': 1871999785488178938803054, 'val': 1}
  • id: 546141
    {'lmfdb_iso': '12480.cu', 'p': 29, 'prec': 20, 'unit': 5180649472273135707299708975, 'val': 1}
  • id: 546137
    {'lmfdb_iso': '12480.cu', 'p': 37, 'prec': 20, 'unit': 18548609374442603373800330000, 'val': 1}
  • id: 546139
    {'lmfdb_iso': '12480.cu', 'p': 41, 'prec': 20, 'unit': 823781255579543965854261015500, 'val': 1}
  • id: 546140
    {'lmfdb_iso': '12480.cu', 'p': 43, 'prec': 20, 'unit': 4362611756048642565155800541323, 'val': 1}
  • id: 546142
    {'lmfdb_iso': '12480.cu', 'p': 47, 'prec': 20, 'unit': 4883344995256016792152034800588, 'val': 1}
  • id: 546145
    {'lmfdb_iso': '12480.cu', 'p': 53, 'prec': 20, 'unit': 451753076250500986546135107708576, 'val': 1}
  • id: 546148
    {'lmfdb_iso': '12480.cu', 'p': 59, 'prec': 20, 'unit': 1962950935095162926009335390284752, 'val': 1}
  • id: 546149
    {'lmfdb_iso': '12480.cu', 'p': 61, 'prec': 20, 'unit': 6684374888779414913779855467771820, 'val': 1}
  • id: 546136
    {'lmfdb_iso': '12480.cu', 'p': 67, 'prec': 20, 'unit': 7060731502152130139339416464271593, 'val': 1}
  • id: 546138
    {'lmfdb_iso': '12480.cu', 'p': 71, 'prec': 20, 'unit': 30411309785030501300324889763361321, 'val': 1}
  • id: 546146
    {'lmfdb_iso': '12480.cu', 'p': 73, 'prec': 20, 'unit': 155831856895892446036078707270465111, 'val': 1}
  • id: 546144
    {'lmfdb_iso': '12480.cu', 'p': 83, 'prec': 20, 'unit': 551886191509575699122622471188112221, 'val': 1}
  • id: 546147
    {'lmfdb_iso': '12480.cu', 'p': 89, 'prec': 20, 'unit': 8920959195811886713469255764279614297, 'val': 1}
  • id: 546135
    {'lmfdb_iso': '12480.cu', 'p': 97, 'prec': 20, 'unit': 35769908266466617131737931497580650661, '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: 81431
    {'Ciso': '12480bf', 'Clabel': '12480bf4', 'Cnumber': 4, 'abc_quality': 0.9697511812173166, 'absD': 8985600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, -30785, 2063775], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12480, 'degree': 24576, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3580897167856165933815975500', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 4], 'jinv': [49235161015876, 137109375], 'lmfdb_iso': '12480.cu', 'lmfdb_label': '12480.cu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7696, 261820], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '24.24.0-24.z.1.2', '104.24.0.?', '156.12.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.33447941132792946212422955668', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 4, 4160], [5, 6, 2496], [13, 14, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43389347603902284749195472139', 'prec': 103}, 'szpiro_ratio': 4.518502365424371, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 81430
    {'Ciso': '12480bf', 'Clabel': '12480bf3', 'Cnumber': 3, 'abc_quality': 0.9684903102916578, 'absD': 11319268147200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, -28705, -1874497], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12480, 'degree': 24576, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3580897167856165933815975500', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 4], 'jinv': [39914580075556, 172718325], 'lmfdb_iso': '12480.cu', 'lmfdb_label': '12480.cu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7176, -230724], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '24.24.0-24.z.1.6', '26.6.0.b.1', '52.12.0.g.1', '104.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3379176453117178484969182267', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 4160], [5, 6, 2496], [13, 14, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43389347603902284749195472139', 'prec': 103}, 'szpiro_ratio': 4.496251627322499, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 81429
    {'Ciso': '12480bf', 'Clabel': '12480bf2', 'Cnumber': 2, 'abc_quality': 1.0247232170390133, 'absD': 1261578240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, -2705, 2703], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12480, 'degree': 12288, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0115161265056439386729814893', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2], 'jinv': [133649126224, 77000625], 'lmfdb_iso': '12480.cu', 'lmfdb_label': '12480.cu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -676, 676], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0.b.1', '24.24.0-12.b.1.1', '52.12.0.b.1', '104.24.0.?', '156.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.66895882265585892424845911336', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 4160], [5, 6, 2496], [13, 14, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20284441585237441101954401427', 'prec': 103}, 'szpiro_ratio': 3.745015243568937, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 81428
    {'Ciso': '12480bf', 'Clabel': '12480bf1', 'Cnumber': 1, 'abc_quality': 1.1890414977460546, 'absD': 19741363200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 1, 0, 675, 675], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12480, 'degree': 6144, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.66494253622567128396436542857', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 4], 'jinv': [33165879296, 19278675], 'lmfdb_iso': '12480.cu', 'lmfdb_label': '12480.cu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 169, 0], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0-4.c.1.4', '12.12.0.g.1', '24.24.0-12.g.1.1', '104.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3379176453117178484969182267', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 4160], [5, 6, 2496], [13, 14, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.087319885759050192783338660688', 'prec': 107}, 'szpiro_ratio': 3.3032916588101013, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}