Elliptic curve isogeny class data - 19800.bc

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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, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -4, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, 0, 2, -1, -4, 0, -4, 4, 2, -8, 2, 6, 6, -4, 6, 4, -6, 0, 16, 4, -8, 6, -14, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 19800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '19800.bc', 'trace_hash': 339622685675717346}
• ec_padic •

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

  
  
  • id: 920171
    {'lmfdb_iso': '19800.bc', 'p': 7, 'prec': 20, 'unit': 326877722485358, 'val': 2}
  • id: 920175
    {'lmfdb_iso': '19800.bc', 'p': 13, 'prec': 20, 'unit': 992921496300578235297, 'val': 1}
  • id: 920177
    {'lmfdb_iso': '19800.bc', 'p': 19, 'prec': 20, 'unit': 499479257973725279067052, 'val': 1}
  • id: 920180
    {'lmfdb_iso': '19800.bc', 'p': 23, 'prec': 20, 'unit': 2932001522229395504073204, 'val': 1}
  • id: 920174
    {'lmfdb_iso': '19800.bc', 'p': 29, 'prec': 20, 'unit': 5116406690551628628494489269, 'val': 1}
  • id: 920185
    {'lmfdb_iso': '19800.bc', 'p': 31, 'prec': 20, 'unit': 14418175906696062095968858873, 'val': 1}
  • id: 920170
    {'lmfdb_iso': '19800.bc', 'p': 37, 'prec': 20, 'unit': 53813103670457548679087994230, 'val': 1}
  • id: 920172
    {'lmfdb_iso': '19800.bc', 'p': 41, 'prec': 20, 'unit': 2598643661451775540663573978436, 'val': 1}
  • id: 920173
    {'lmfdb_iso': '19800.bc', 'p': 43, 'prec': 20, 'unit': 2557817892651312397437136117640, 'val': 1}
  • id: 920183
    {'lmfdb_iso': '19800.bc', 'p': 47, 'prec': 20, 'unit': 33923278191241792166643572402996, 'val': 1}
  • id: 920178
    {'lmfdb_iso': '19800.bc', 'p': 53, 'prec': 20, 'unit': 212679711191904314711532656697960, 'val': 1}
  • id: 920169
    {'lmfdb_iso': '19800.bc', 'p': 59, 'prec': 20, 'unit': 3805992346170642265585580851115199, 'val': 1}
  • id: 920184
    {'lmfdb_iso': '19800.bc', 'p': 61, 'prec': 20, 'unit': 7578695536425526233025754091660919, 'val': 1}
  • id: 920182
    {'lmfdb_iso': '19800.bc', 'p': 71, 'prec': 20, 'unit': 130206182065551770023588300734126952, 'val': 1}
  • id: 920179
    {'lmfdb_iso': '19800.bc', 'p': 73, 'prec': 20, 'unit': 30859858406139739645241336387623628, 'val': 1}
  • id: 920176
    {'lmfdb_iso': '19800.bc', 'p': 79, 'prec': 20, 'unit': 30287368068385241866626563560352614, 'val': 1}
  • id: 920168
    {'lmfdb_iso': '19800.bc', 'p': 83, 'prec': 20, 'unit': 407080929756964385169974139135589792, 'val': 1}
  • id: 920181
    {'lmfdb_iso': '19800.bc', 'p': 89, 'prec': 20, 'unit': 3501767686015512423166809342546739693, 'val': 1}
  • id: 920167
    {'lmfdb_iso': '19800.bc', 'p': 97, 'prec': 20, 'unit': 56212096297462814720114089196222938, 'val': 2}
• 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: 131312
    {'Ciso': '19800bc', 'Clabel': '19800bc2', 'Cnumber': 2, 'abc_quality': 0.8866917378259309, 'absD': 15877620000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 0, 0, -53175, -4715750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19800, 'degree': 49152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4546010422606295448281237165', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [5702413264, 5445], 'lmfdb_iso': '19800.bc', 'lmfdb_label': '19800.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -236, 1476], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.c.1', '220.12.0.?'], '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': '1.0350337767770323892961550149', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 2200], [5, 18, 792], [11, 12, 1800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36152217866377236111469998288', 'prec': 107}, 'szpiro_ratio': 4.473433548281922, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 131311
    {'Ciso': '19800bc', 'Clabel': '19800bc1', 'Cnumber': 1, 'abc_quality': 0.8790630883416172, 'absD': 4059618750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 0, 0, -2550, -108875], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19800, 'degree': 24576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1080274519806568901195076558', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [-10061824, 22275], 'lmfdb_iso': '19800.bc', 'lmfdb_label': '19800.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -11, 36], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '22.6.0.a.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0700675535540647785923100297', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2475], [3, 8, 2200], [5, 18, 792], [11, 12, 1800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47704670875709657935090533643', 'prec': 107}, 'szpiro_ratio': 3.7114560047948637, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}