Elliptic curve isogeny class data - 361998.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, 1, 0, 1, -2, 0, -1, 1, 0, -2, 4, 0, 0, -1, 0, 1, -1, 0, -4, -2], 'aplist': [1, 0, -2, -1, 4, 0, -1, -4, -8, -6, 0, 2, 10, -4, 0, -6, -4, 6, 12, -8, 6, 0, -12, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 361998, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '361998.cn', 'trace_hash': 141846023618856251}
• lmfdb_iso 361998.cn does not appear in ec_padic
• 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: 2258822
    {'Ciso': '361998cn', 'Clabel': '361998cn5', 'Cnumber': 5, 'abc_quality': 1.0624727966937526, 'absD': 63129902409069798855119112, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10608, 'ainvs': [1, -1, 1, -20865996716, 1160135576072295], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 361998, 'degree': 566231040, 'elladic_images': ['8.48.0.217'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4109097923878409762591734604', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [285531136548675601769470657, 17941034271597192], 'lmfdb_iso': '361998.cn', 'lmfdb_label': '361998.cn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13718604, -19563199515], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.p.1', '156.12.0.?', '272.96.1.?', '312.96.0.?', '10608.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.314974096926424708233970011', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 20111], [7, 8, 51714], [13, 86, 2142], [17, 18, 21294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071212', 'prec': 100}, 'szpiro_ratio': 6.476694397575043, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2258820
    {'Ciso': '361998cn', 'Clabel': '361998cn3', 'Cnumber': 3, 'abc_quality': 1.07814467781823, 'absD': 1943996762068408238803020864, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5304, 'ainvs': [1, -1, 1, -1306605956, 18054925839591], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 361998, 'degree': 283115520, 'elladic_images': ['8.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0643362021078683215505573997', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [70108386184777836280897, 552468975892674624], 'lmfdb_iso': '361998.cn', 'lmfdb_label': '361998.cn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -859044, -304722459], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.f.1', '136.96.1.?', '156.24.0.?', '312.96.0.?', '5304.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.1574870484632123541169850056', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 20111], [7, 8, 51714], [13, 86, 2142], [17, 18, 21294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910605', 'prec': 100}, 'szpiro_ratio': 5.827283654742276, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2258823
    {'Ciso': '361998cn', 'Clabel': '361998cn6', 'Cnumber': 6, 'abc_quality': 1.0817271650752718, 'absD': 738672112153645155443250945288, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10608, 'ainvs': [1, -1, 1, -445050716, 41508527204967], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 361998, 'degree': 566231040, 'elladic_images': ['16.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4109097923878409762591734604', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-2770540998624539614657, 209924951154647363208], 'lmfdb_iso': '361998.cn', 'lmfdb_label': '361998.cn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -292604, -699871003], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.k.1', '16.48.0.e.1', '136.48.0.?', '156.12.0.?', '272.96.1.?', '312.48.0.?', '624.96.0.?', '5304.96.0.?', '10608.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.314974096926424708233970011', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 20111], [7, 8, 51714], [13, 86, 2142], [17, 18, 21294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071212', 'prec': 100}, 'szpiro_ratio': 5.95629608505882, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2258819
    {'Ciso': '361998cn', 'Clabel': '361998cn2', 'Cnumber': 2, 'abc_quality': 1.0972067382550121, 'absD': 157543246501941525923303424, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5304, 'ainvs': [1, -1, 1, -137991236, -156765956889], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 361998, 'degree': 141557760, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7177626118278956668419413389', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [82582985847542515777, 44772582831427584], 'lmfdb_iso': '361998.cn', 'lmfdb_label': '361998.cn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -90724, 2605541], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '68.24.0.c.1', '136.96.1.?', '156.24.0.?', '312.96.0.?', '2652.48.0.?', '5304.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0787435242316061770584925028', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 20111], [7, 8, 51714], [13, 86, 2142], [17, 18, 21294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8859817887630724531175749997', 'prec': 100}, 'szpiro_ratio': 5.300384175069935, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2258818
    {'Ciso': '361998cn', 'Clabel': '361998cn1', 'Cnumber': 1, 'abc_quality': 1.0214246831520672, 'absD': 195179247109865107095552, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10608, 'ainvs': [1, -1, 1, -106841156, -424507124505], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 361998, 'degree': 70778880, 'elladic_images': ['16.48.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3711890215479230121333252782', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [38331145780597164097, 55468445663232], 'lmfdb_iso': '361998.cn', 'lmfdb_label': '361998.cn5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70244, 7127525], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0.z.1', '34.6.0.a.1', '68.12.0.g.1', '136.48.0.?', '156.12.0.?', '272.96.1.?', '312.48.0.?', '624.96.0.?', '2652.24.0.?', '5304.96.0.?', '10608.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0393717621158030885292462514', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25857], [3, 8, 20111], [7, 8, 51714], [13, 86, 2142], [17, 18, 21294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5394081984830997984089589390', 'prec': 100}, 'szpiro_ratio': 5.240417202617667, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2258821
    {'Ciso': '361998cn', 'Clabel': '361998cn4', 'Cnumber': 4, 'abc_quality': 1.06742381122777, 'absD': 10305526790323608961784966208, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10608, 'ainvs': [1, -1, 1, 532222204, -1233396826905], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 361998, 'degree': 283115520, 'elladic_images': ['16.48.0.120'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0643362021078683215505573997', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4738217997934888496063, 2928751705237796928], 'lmfdb_iso': '361998.cn', 'lmfdb_label': '361998.cn6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 349916, 20936165], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.z.2', '68.12.0.h.1', '136.48.0.?', '156.12.0.?', '272.96.1.?', '312.48.0.?', '624.96.0.?', '2652.24.0.?', '5304.96.0.?', '10608.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.1574870484632123541169850056', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25857], [3, 8, 20111], [7, 8, 51714], [13, 86, 2142], [17, 18, 21294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910605', 'prec': 100}, 'szpiro_ratio': 5.6167751485913655, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}