Elliptic curve isogeny class data - 27600.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, 0, 0, 0, 0, 1, 0, -4, 0, 2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 1, 0, 0, -4, 2, 6, -4, -1, -2, 0, 2, 10, -4, 0, -6, 4, -10, -12, 8, -10, 8, -4, 18, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 27600, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '27600.cn', 'trace_hash': 1729731032086622496}
• ec_padic •

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

  
  
  • id: 1322112
    {'lmfdb_iso': '27600.cn', 'p': 11, 'prec': 20, 'unit': 14384651538032911154, 'val': 1}
  • id: 1322110
    {'lmfdb_iso': '27600.cn', 'p': 13, 'prec': 20, 'unit': 618375727796449415317, 'val': 1}
  • id: 1322113
    {'lmfdb_iso': '27600.cn', 'p': 17, 'prec': 20, 'unit': 95633181422227028697590, 'val': 1}
  • id: 1322114
    {'lmfdb_iso': '27600.cn', 'p': 19, 'prec': 20, 'unit': 994063509380714512214117, 'val': 1}
  • id: 1322109
    {'lmfdb_iso': '27600.cn', 'p': 29, 'prec': 20, 'unit': 1246621037520922731254433479, 'val': 1}
  • id: 1322105
    {'lmfdb_iso': '27600.cn', 'p': 37, 'prec': 20, 'unit': 471424752043236525055300656044, 'val': 1}
  • id: 1322107
    {'lmfdb_iso': '27600.cn', 'p': 41, 'prec': 20, 'unit': 1659634701667282488964964416933, 'val': 1}
  • id: 1322108
    {'lmfdb_iso': '27600.cn', 'p': 43, 'prec': 20, 'unit': 3540240829218698639844423877463, 'val': 1}
  • id: 1322115
    {'lmfdb_iso': '27600.cn', 'p': 53, 'prec': 20, 'unit': 178492128850090256515493042553121, 'val': 1}
  • id: 1322118
    {'lmfdb_iso': '27600.cn', 'p': 59, 'prec': 20, 'unit': 1228791019093721877041087932260335, 'val': 1}
  • id: 1322119
    {'lmfdb_iso': '27600.cn', 'p': 61, 'prec': 20, 'unit': 6560044108101152165216238589802514, 'val': 1}
  • id: 1322104
    {'lmfdb_iso': '27600.cn', 'p': 67, 'prec': 20, 'unit': 19793589078716066980996869103411483, 'val': 1}
  • id: 1322106
    {'lmfdb_iso': '27600.cn', 'p': 71, 'prec': 20, 'unit': 26888278065815728519384800574617612, 'val': 1}
  • id: 1322116
    {'lmfdb_iso': '27600.cn', 'p': 73, 'prec': 20, 'unit': 4493292177364541297274050619144690, 'val': 1}
  • id: 1322111
    {'lmfdb_iso': '27600.cn', 'p': 79, 'prec': 20, 'unit': 1031784150343518233748708088284813330, 'val': 1}
  • id: 1322103
    {'lmfdb_iso': '27600.cn', 'p': 83, 'prec': 20, 'unit': 981251144641881755135805759163638564, 'val': 1}
  • id: 1322117
    {'lmfdb_iso': '27600.cn', 'p': 89, 'prec': 20, 'unit': 7774420469548603038666551638376771020, 'val': 1}
  • id: 1322102
    {'lmfdb_iso': '27600.cn', 'p': 97, 'prec': 20, 'unit': 14714356337774967483258178023025236372, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 183068
    {'Ciso': '27600ch', 'Clabel': '27600ch4', 'Cnumber': 4, 'abc_quality': 1.026629656347475, 'absD': 1324800000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5520, 'ainvs': [0, 1, 0, -44160008, -112966176012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 27600, 'degree': 884736, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6508832071295165320857377372', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [148809678420065817601, 20700], 'lmfdb_iso': '27600.cn', 'lmfdb_label': '27600.cn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -110400, 14109732], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1', '20.12.0-4.c.1.1', '24.24.0.by.1', '40.24.0-8.n.1.5', '48.48.0.bk.1', '80.48.0.?', '92.12.0.?', '120.48.0.?', '184.24.0.?', '240.96.0.?', '368.48.0.?', '460.24.0.?', '552.48.0.?', '920.48.0.?', '1104.96.1.?', '1840.96.0.?', '2760.96.0.?', '5520.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.017497996685518255587032765', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1530170703525210353681259491', 'prec': 100}, 'szpiro_ratio': 6.300244079561963, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 183070
    {'Ciso': '27600ch', 'Clabel': '27600ch6', 'Cnumber': 6, 'abc_quality': 1.0152769300892501, 'absD': 18794636467440000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5520, 'ainvs': [0, 1, 0, -10332008, 10946135988], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 27600, 'degree': 1769472, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9974567974094891867943537979', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1905890658841300321, 293666194803750], 'lmfdb_iso': '27600.cn', 'lmfdb_label': '27600.cn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -25830, -1370850], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '20.12.0-4.c.1.2', '24.48.0.bl.2', '40.48.0-8.bb.2.4', '120.96.0.?', '368.48.0.?', '1104.96.1.?', '1840.96.0.?', '5520.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.0087489983427591277935163825', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4995906606324936900767420098', 'prec': 100}, 'szpiro_ratio': 5.874085119379873, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 183067
    {'Ciso': '27600ch', 'Clabel': '27600ch3', 'Cnumber': 3, 'abc_quality': 0.998081495923215, 'absD': 251856900000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2760, 'ainvs': [0, 1, 0, -2832008, -1668864012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 27600, 'degree': 884736, 'elladic_images': ['8.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6508832071295165320857377372', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [39248884582600321, 3935264062500], 'lmfdb_iso': '27600.cn', 'lmfdb_label': '27600.cn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7080, 207900], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.1', '20.24.0-4.b.1.3', '24.48.0.m.2', '40.48.0-8.e.1.9', '120.96.0.?', '184.48.0.?', '552.96.1.?', '920.96.0.?', '2760.192.1.?'], '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': '14.017497996685518255587032765', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1530170703525210353681259491', 'prec': 100}, 'szpiro_ratio': 5.494372175176692, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 183066
    {'Ciso': '27600ch', 'Clabel': '27600ch2', 'Cnumber': 2, 'abc_quality': 0.9952642288505263, 'absD': 27423360000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2760, 'ainvs': [0, 1, 0, -2760008, -1765776012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 27600, 'degree': 442368, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3043096168495438773771216765', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [36330796409313601, 428490000], 'lmfdb_iso': '27600.cn', 'lmfdb_label': '27600.cn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6900, 220032], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '20.24.0-4.b.1.1', '24.48.0.r.2', '40.48.0-8.e.2.4', '92.24.0.?', '120.96.0.?', '184.48.0.?', '460.48.0.?', '552.96.1.?', '920.96.0.?', '2760.192.1.?'], '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': '7.0087489983427591277935163825', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80644348007254838065950988843', 'prec': 103}, 'szpiro_ratio': 5.486816875073658, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 183065
    {'Ciso': '27600ch', 'Clabel': '27600ch1', 'Cnumber': 1, 'abc_quality': 0.9526154777090129, 'absD': 61809868800000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5520, 'ainvs': [0, 1, 0, -168008, -29136012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 27600, 'degree': 221184, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9577360265695712226685056157', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-8194759433281, 965779200], 'lmfdb_iso': '27600.cn', 'lmfdb_label': '27600.cn5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -420, 3600], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '20.12.0-4.c.1.1', '40.48.0-8.bb.1.8', '46.6.0.a.1', '48.48.0.bp.1', '92.12.0.?', '184.48.0.?', '240.96.0.?', '460.24.0.?', '920.96.0.?', '1104.96.1.?', '5520.192.1.?'], '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': '3.5043744991713795638967581913', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45986988979257572595089382763', 'prec': 103}, 'szpiro_ratio': 4.683774466335854, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 183069
    {'Ciso': '27600ch', 'Clabel': '27600ch5', 'Cnumber': 5, 'abc_quality': 1.2038496011168551, 'absD': 30996093750000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5520, 'ainvs': [0, 1, 0, 3515992, -8080344012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 27600, 'degree': 1769472, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9974567974094891867943537979', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [75108181893694559, 484313964843750], 'lmfdb_iso': '27600.cn', 'lmfdb_label': '27600.cn6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 8790, 1010922], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.2', '20.12.0-4.c.1.2', '24.24.0.bn.1', '40.24.0-8.n.1.1', '48.48.0.ba.2', '80.48.0.?', '120.48.0.?', '184.24.0.?', '240.96.0.?', '368.48.0.?', '552.48.0.?', '920.48.0.?', '1104.96.1.?', '1840.96.0.?', '2760.96.0.?', '5520.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '28.034995993371036511174065530', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4995906606324936900767420098', 'prec': 100}, 'szpiro_ratio': 5.784404203159009, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}