Elliptic curve isogeny class data - 69360.cw

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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, 2, 0, 1, 0, 0, 0, 4, 0], 'aplist': [0, 1, 1, -4, 0, 2, 0, 4, 0, 6, 8, -2, 6, 4, 0, -6, 0, 10, 4, 0, -2, 8, -12, 18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 69360, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '69360.cw', 'trace_hash': 12361631154837667}
• lmfdb_iso 69360.cw 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: 458558
    {'Ciso': '69360du', 'Clabel': '69360du7', 'Cnumber': 7, 'abc_quality': 1.0818126452233845, 'absD': 8008266092544000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, 1, 0, -24662200, 47132459348], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 69360, 'degree': 2654208, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6739198378044050298312417520', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '69360.cw', 'lmfdb_label': '69360.cw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.3', '40.12.0.v.1', '60.48.0.c.3', '120.192.5.?', '136.12.0.?', '204.48.0.?', '340.12.0.?', '408.192.1.?', '680.24.0.?', '1020.96.0.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1445], [3, 4, 4624], [5, 6, 13872], [17, 146, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232161', 'prec': 103}, 'szpiro_ratio': 5.6226411553488775, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 458559
    {'Ciso': '69360du', 'Clabel': '69360du8', 'Cnumber': 8, 'abc_quality': 1.1359972360691755, 'absD': 579301656000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, 1, 0, -2097080, 158390100], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 69360, 'degree': 2654208, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6739198378044050298312417520', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '69360.cw', 'lmfdb_label': '69360.cw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.3', '24.96.1.da.1', '40.12.0.bb.1', '120.192.5.?', '136.12.0.?', '204.96.0.?', '408.192.1.?', '680.24.0.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 867], [3, 4, 4624], [5, 6, 13872], [17, 146, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232161', 'prec': 103}, 'szpiro_ratio': 4.95931169808971, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 458557
    {'Ciso': '69360du', 'Clabel': '69360du6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 889807343616000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, 1, 0, -1542200, 735243348], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 69360, 'degree': 1327104, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3273462475244323751226256912', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '69360.cw', 'lmfdb_label': '69360.cw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '24.96.1.cp.2', '40.12.0.a.1', '60.96.1.h.3', '120.192.5.?', '136.12.0.?', '204.96.0.?', '340.12.0.?', '408.192.1.?', '680.24.0.?', '1020.192.1.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 289], [3, 4, 4624], [5, 6, 13872], [17, 146, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626080', 'prec': 103}, 'szpiro_ratio': 4.876598663278011, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 458556
    {'Ciso': '69360du', 'Clabel': '69360du5', 'Cnumber': 5, 'abc_quality': 1.0501740895315954, 'absD': 3336777538560000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, 1, 0, -1334120, -593555532], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 69360, 'degree': 884736, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1246136934703501841336191335', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '69360.cw', 'lmfdb_label': '69360.cw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.4', '24.96.1.da.3', '40.12.0.bb.1', '120.192.5.?', '136.12.0.?', '204.96.0.?', '408.192.1.?', '680.24.0.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 867], [3, 4, 23120], [5, 6, 13872], [17, 146, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703107', 'prec': 107}, 'szpiro_ratio': 4.837591616593067, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 458555
    {'Ciso': '69360du', 'Clabel': '69360du4', 'Cnumber': 4, 'abc_quality': 1.0339287621454463, 'absD': 525422338331811840, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, 1, 0, -316840, 59020340], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 69360, 'degree': 884736, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1246136934703501841336191335', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '69360.cw', 'lmfdb_label': '69360.cw5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.4', '40.12.0.v.1', '60.48.0.c.4', '120.192.5.?', '136.12.0.?', '204.48.0.?', '340.12.0.?', '408.192.1.?', '680.24.0.?', '1020.96.0.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1445], [3, 4, 23120], [5, 6, 13872], [17, 146, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703107', 'prec': 107}, 'szpiro_ratio': 4.450683659621039, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 458553
    {'Ciso': '69360du', 'Clabel': '69360du2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 7207439483289600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, 1, 0, -85640, -8767500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 69360, 'degree': 442368, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7780401031903775294250030728', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '69360.cw', 'lmfdb_label': '69360.cw6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '24.96.1.cp.4', '40.12.0.a.1', '60.96.1.h.1', '120.192.5.?', '136.12.0.?', '204.96.0.?', '340.12.0.?', '408.192.1.?', '680.24.0.?', '1020.192.1.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 289], [3, 4, 23120], [5, 6, 13872], [17, 146, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635759', 'prec': 107}, 'szpiro_ratio': 4.0985977413330446, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 458554
    {'Ciso': '69360du', 'Clabel': '69360du3', 'Cnumber': 3, 'abc_quality': 1.0491971880149842, 'absD': 151860453310464000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, 1, 0, -62520, 19670100], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 69360, 'degree': 663552, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9807726572444597204140096305', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-273359449, 1536000], 'lmfdb_iso': '69360.cw', 'lmfdb_label': '69360.cw7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14, -64], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.1', '24.96.1.dh.4', '30.24.0.b.1', '40.12.0.bb.1', '60.96.1.n.2', '120.192.5.?', '136.12.0.?', '204.96.0.?', '340.12.0.?', '408.192.1.?', '680.24.0.?', '1020.192.1.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4335], [3, 4, 4624], [5, 6, 13872], [17, 146, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979989', 'prec': 107}, 'szpiro_ratio': 4.226626590912756, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 458552
    {'Ciso': '69360du', 'Clabel': '69360du1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 213553762467840, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, 1, 0, 6840, -666252], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 69360, 'degree': 221184, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4314665129104048747163870120', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '69360.cw', 'lmfdb_label': '69360.cw8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': -68, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.2', '24.96.1.dh.3', '30.24.0.b.1', '40.12.0.bb.1', '60.96.1.n.4', '120.192.5.?', '136.12.0.?', '204.96.0.?', '340.12.0.?', '408.192.1.?', '680.24.0.?', '1020.192.1.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4335], [3, 4, 23120], [5, 6, 13872], [17, 146, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241839', 'prec': 107}, 'szpiro_ratio': 3.6196812513622896, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}