Elliptic curve isogeny class data - 12480.cn

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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, 4, 0, 1, 0, 0, 0, -1, 0, -1, 0, 2, 0, -8, 0], 'aplist': [0, 1, -1, 4, 0, -1, 2, -8, 4, -6, -8, -6, -6, 4, 4, -6, -8, 10, -4, 8, -14, 0, -12, -6, -6], '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.cn', 'trace_hash': 1046727770531346927}
• ec_padic •

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

  
  
  • id: 546550
    {'lmfdb_iso': '12480.cn', 'p': 7, 'prec': 20, 'unit': 5164588986512771, 'val': 1}
  • id: 546555
    {'lmfdb_iso': '12480.cn', 'p': 17, 'prec': 20, 'unit': 114594936782845964819537, 'val': 1}
  • id: 546546
    {'lmfdb_iso': '12480.cn', 'p': 19, 'prec': 20, 'unit': 1505080085906228120402909, 'val': 1}
  • id: 546559
    {'lmfdb_iso': '12480.cn', 'p': 23, 'prec': 20, 'unit': 55131423172874854373487530, 'val': 1}
  • id: 546553
    {'lmfdb_iso': '12480.cn', 'p': 29, 'prec': 20, 'unit': 1877899601720159182329608394, 'val': 1}
  • id: 546564
    {'lmfdb_iso': '12480.cn', 'p': 31, 'prec': 20, 'unit': 10471011619930229044451605830, 'val': 1}
  • id: 546549
    {'lmfdb_iso': '12480.cn', 'p': 37, 'prec': 20, 'unit': 553170293591038702630323808619, 'val': 1}
  • id: 546551
    {'lmfdb_iso': '12480.cn', 'p': 41, 'prec': 20, 'unit': 880743256011095091043363118199, 'val': 1}
  • id: 546552
    {'lmfdb_iso': '12480.cn', 'p': 43, 'prec': 20, 'unit': 4964214555454611620622969209486, 'val': 1}
  • id: 546554
    {'lmfdb_iso': '12480.cn', 'p': 47, 'prec': 20, 'unit': 26197503791356362268515842683784, 'val': 1}
  • id: 546557
    {'lmfdb_iso': '12480.cn', 'p': 53, 'prec': 20, 'unit': 447499132351354022706686638576533, 'val': 1}
  • id: 546562
    {'lmfdb_iso': '12480.cn', 'p': 59, 'prec': 20, 'unit': 2379850853008173645612549571464977, 'val': 1}
  • id: 546563
    {'lmfdb_iso': '12480.cn', 'p': 61, 'prec': 20, 'unit': 1759630620907497381732472822713034, 'val': 1}
  • id: 546548
    {'lmfdb_iso': '12480.cn', 'p': 67, 'prec': 20, 'unit': 30018336284465747418226642922876077, 'val': 1}
  • id: 546561
    {'lmfdb_iso': '12480.cn', 'p': 71, 'prec': 20, 'unit': 144877157785122420338852052298383552, 'val': 1}
  • id: 546558
    {'lmfdb_iso': '12480.cn', 'p': 73, 'prec': 20, 'unit': 32073955170456014722204741135562021, 'val': 1}
  • id: 546556
    {'lmfdb_iso': '12480.cn', 'p': 83, 'prec': 20, 'unit': 2273002174622731873088923850942180472, 'val': 1}
  • id: 546560
    {'lmfdb_iso': '12480.cn', 'p': 89, 'prec': 20, 'unit': 5004398912721174628486339888567002165, 'val': 1}
  • id: 546547
    {'lmfdb_iso': '12480.cn', 'p': 97, 'prec': 20, 'unit': 44599690251077262552826688499829266116, '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: 81531
    {'Ciso': '12480co', 'Clabel': '12480co3', 'Cnumber': 3, 'abc_quality': 1.0847562556631796, 'absD': 29797973397504000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, 1, 0, -910081, -334370881], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12480, 'degree': 196608, 'elladic_images': ['8.24.0.108'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1303651128325551318450616571', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [2543984126301795848, 909361981125], 'lmfdb_iso': '12480.cn', 'lmfdb_label': '12480.cn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -227520, -41682600], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.o.1.5', '20.12.0-4.c.1.1', '40.48.0-40.by.1.3', '80.96.0.?', '208.48.0.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2137798410447987673758380532', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 832], [5, 6, 2496], [13, 14, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2639311371326234950735215053', 'prec': 100}, 'szpiro_ratio': 5.5956454073655015, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 81532
    {'Ciso': '12480co', 'Clabel': '12480co4', 'Cnumber': 4, 'abc_quality': 1.0116459533211948, 'absD': 270639875690496000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, 1, 0, -470081, 121345119], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12480, 'degree': 196608, 'elladic_images': ['8.24.0.112'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1303651128325551318450616571', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [350584567631475848, 8259273550125], 'lmfdb_iso': '12480.cn', 'lmfdb_label': '12480.cn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -117520, 15226900], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.o.1.7', '20.12.0-4.c.1.2', '40.48.0-40.by.1.1', '80.96.0.?', '208.48.0.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8551193641791950695033522127', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 832], [5, 6, 2496], [13, 14, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2639311371326234950735215053', 'prec': 100}, 'szpiro_ratio': 5.385519305766708, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 81530
    {'Ciso': '12480co', 'Clabel': '12480co2', 'Cnumber': 2, 'abc_quality': 1.0447549090132258, 'absD': 11992878144000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, 1, 0, -65081, -3637881], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12480, 'degree': 98304, 'elladic_images': ['8.24.0.29'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7837915225525824771364455964', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2], 'jinv': [7442744143086784, 2927948765625], 'lmfdb_iso': '12480.cn', 'lmfdb_label': '12480.cn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -16270, -446600], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0-4.a.1.1', '20.24.0-4.a.1.2', '40.48.0-40.a.1.5', '80.96.0.?', '104.48.0.?', '520.96.1.?', '1040.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4275596820895975347516761063', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 832], [5, 6, 2496], [13, 14, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0906443419926371677192134749', 'prec': 100}, 'szpiro_ratio': 4.75660945774438, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 81529
    {'Ciso': '12480co', 'Clabel': '12480co1', 'Cnumber': 1, 'abc_quality': 1.1541079700404029, 'absD': 213890625000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, 1, 0, 13044, -403506], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12480, 'degree': 49152, 'elladic_images': ['8.24.0.69'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4372179322726098224278295356', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [3834800837445824, 3342041015625], 'lmfdb_iso': '12480.cn', 'lmfdb_label': '12480.cn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 52175, -3280223], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0-4.d.1.1', '40.48.0-40.bf.1.2', '52.24.0-4.d.1.2', '80.96.0.?', '104.48.0.?', '520.96.1.?', '1040.192.3.?'], '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': '4.8551193641791950695033522127', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 832], [5, 6, 2496], [13, 14, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0906443419926371677192134749', 'prec': 100}, 'szpiro_ratio': 4.245364207660031, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}