Elliptic curve isogeny class data - 129360.cb

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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, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 6, 0, -4, 0], 'aplist': [0, -1, -1, 0, 1, 2, 6, -4, 0, 6, -8, 6, -10, 4, -8, -10, -12, -6, 4, 0, 14, 0, 4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 129360, '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': '129360.cb', 'trace_hash': 55176706327703960}
• ec_padic •

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

  
  
  • id: 6782682
    {'lmfdb_iso': '129360.cb', 'p': 13, 'prec': 20, 'unit': 370250088669925333536, 'val': 1}
  • id: 6782684
    {'lmfdb_iso': '129360.cb', 'p': 17, 'prec': 20, 'unit': 59837545452085433868481, 'val': 1}
  • id: 6782685
    {'lmfdb_iso': '129360.cb', 'p': 19, 'prec': 20, 'unit': 1694380360256745097702159, 'val': 1}
  • id: 6782681
    {'lmfdb_iso': '129360.cb', 'p': 29, 'prec': 20, 'unit': 5257957207091166159945051443, 'val': 1}
  • id: 6782691
    {'lmfdb_iso': '129360.cb', 'p': 31, 'prec': 20, 'unit': 4779511016902984164065394368, 'val': 1}
  • id: 6782678
    {'lmfdb_iso': '129360.cb', 'p': 37, 'prec': 20, 'unit': 411255744882292385342095432681, 'val': 1}
  • id: 6782679
    {'lmfdb_iso': '129360.cb', 'p': 41, 'prec': 20, 'unit': 1814344807992351580963056917875, 'val': 1}
  • id: 6782680
    {'lmfdb_iso': '129360.cb', 'p': 43, 'prec': 20, 'unit': 7833672652803584809603147491894, 'val': 1}
  • id: 6782683
    {'lmfdb_iso': '129360.cb', 'p': 47, 'prec': 20, 'unit': 40106072111106039088538165622808, 'val': 1}
  • id: 6782686
    {'lmfdb_iso': '129360.cb', 'p': 53, 'prec': 20, 'unit': 207775462281086457219520081620385, 'val': 1}
  • id: 6782689
    {'lmfdb_iso': '129360.cb', 'p': 59, 'prec': 20, 'unit': 4415327259761565426932770808198909, 'val': 1}
  • id: 6782690
    {'lmfdb_iso': '129360.cb', 'p': 61, 'prec': 20, 'unit': 6407767209005000882435042205286235, 'val': 1}
  • id: 6782677
    {'lmfdb_iso': '129360.cb', 'p': 67, 'prec': 20, 'unit': 541769243904224921128957723133136, 'val': 2}
  • id: 6782687
    {'lmfdb_iso': '129360.cb', 'p': 73, 'prec': 20, 'unit': 14347947136789153839720762448678558, 'val': 1}
  • id: 6782676
    {'lmfdb_iso': '129360.cb', 'p': 83, 'prec': 20, 'unit': 429209767875723216063682256033298416, 'val': 1}
  • id: 6782688
    {'lmfdb_iso': '129360.cb', 'p': 89, 'prec': 20, 'unit': 89552519715219750715329894050282572, 'val': 1}
  • id: 6782675
    {'lmfdb_iso': '129360.cb', 'p': 97, 'prec': 20, 'unit': 35486945874046336915470754123051989964, '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: 843079
    {'Ciso': '129360y', 'Clabel': '129360y4', 'Cnumber': 4, 'abc_quality': 1.0052432979893915, 'absD': 298169625600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 6160, 'ainvs': [0, -1, 0, -2587216, 1602621616], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 129360, 'degree': 1572864, 'elladic_images': ['16.24.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0483432053037808794783601203', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [15897679904620804, 2475], 'lmfdb_iso': '129360.cb', 'lmfdb_label': '129360.cb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -52800, 4687452], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.1', '28.12.0-4.c.1.1', '40.24.0.cb.1', '44.12.0.h.1', '56.24.0-8.n.1.6', '80.48.0.?', '88.24.0.?', '112.48.0.?', '176.48.0.?', '280.48.0.?', '308.24.0.?', '440.48.0.?', '560.96.0.?', '616.48.0.?', '880.96.1.?', '1232.96.0.?', '3080.96.0.?', '6160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2452391311817911098817284351', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 539], [3, 4, 43120], [5, 6, 25872], [7, 26, 2640], [11, 12, 11760]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698069', 'prec': 103}, 'szpiro_ratio': 4.750229256288066, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 843081
    {'Ciso': '129360y', 'Clabel': '129360y6', 'Cnumber': 6, 'abc_quality': 0.9967634929262502, 'absD': 6274998734340188160, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 6160, 'ainvs': [0, -1, 0, -1372016, -606255264], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 129360, 'degree': 3145728, 'elladic_images': ['16.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3949167955837535341869761811', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1185450336504002, 26043266205], 'lmfdb_iso': '129360.cb', 'lmfdb_label': '129360.cb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28000, -1759508], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.2', '28.12.0-4.c.1.2', '40.24.0.bp.1', '56.24.0-8.n.1.5', '80.48.0.?', '88.24.0.?', '112.48.0.?', '176.48.0.?', '280.48.0.?', '440.48.0.?', '560.96.0.?', '616.48.0.?', '880.96.1.?', '1232.96.0.?', '3080.96.0.?', '6160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4904782623635822197634568701', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 245], [3, 4, 43120], [5, 6, 25872], [7, 26, 2640], [11, 12, 11760]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78657680554281368133517036471', 'prec': 103}, 'szpiro_ratio': 4.5885601011405726, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 843078
    {'Ciso': '129360y', 'Clabel': '129360y3', 'Cnumber': 3, 'abc_quality': 0.9815669003008649, 'absD': 289313689550054400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3080, 'ainvs': [0, -1, 0, -186216, 17001216], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 129360, 'degree': 1572864, 'elladic_images': ['8.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0483432053037808794783601203', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 4], 'jinv': [5927735656804, 2401490025], 'lmfdb_iso': '129360.cb', 'lmfdb_label': '129360.cb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3800, 50652], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.2', '28.24.0-4.b.1.3', '40.48.0.n.1', '56.48.0-8.d.2.2', '88.48.0.?', '280.96.0.?', '440.96.1.?', '616.96.0.?', '3080.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2452391311817911098817284351', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 43120], [5, 6, 25872], [7, 26, 2640], [11, 12, 11760]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698069', 'prec': 103}, 'szpiro_ratio': 4.079536953114342, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 843077
    {'Ciso': '129360y', 'Clabel': '129360y2', 'Cnumber': 2, 'abc_quality': 1.0278304524202422, 'absD': 184492455840000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3080, 'ainvs': [0, -1, 0, -161716, 25076416], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 129360, 'degree': 786432, 'elladic_images': ['8.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7017696150238082247697440596', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 4], 'jinv': [15529488955216, 6125625], 'lmfdb_iso': '129360.cb', 'lmfdb_label': '129360.cb4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3300, 74052], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.1', '28.24.0-4.b.1.1', '40.48.0.r.2', '44.24.0.c.1', '56.48.0-8.d.1.1', '88.48.0.?', '280.96.0.?', '308.48.0.?', '440.96.1.?', '616.96.0.?', '3080.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4904782623635822197634568701', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 43120], [5, 6, 25872], [7, 26, 2640], [11, 12, 11760]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26671642012285469927224627357', 'prec': 103}, 'szpiro_ratio': 4.043582562246988, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 843076
    {'Ciso': '129360y', 'Clabel': '129360y1', 'Cnumber': 1, 'abc_quality': 1.0588833402519044, 'absD': 72795318750000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 6160, 'ainvs': [0, -1, 0, -8591, 515166], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 129360, 'degree': 393216, 'elladic_images': ['8.24.0.92'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3551960247438355700611279989', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-37256083456, 38671875], 'lmfdb_iso': '129360.cb', 'lmfdb_label': '129360.cb5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -175, 1552], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.1', '22.6.0.a.1', '28.12.0-4.c.1.1', '44.12.0.g.1', '56.48.0-8.ba.1.7', '80.48.0.?', '88.48.0.?', '308.24.0.?', '560.96.0.?', '616.96.0.?', '880.96.1.?', '6160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9809565247271644395269137403', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 539], [3, 4, 43120], [5, 6, 25872], [7, 26, 2640], [11, 12, 11760]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15119189002953048103604092003', 'prec': 103}, 'szpiro_ratio': 3.382777104712891, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 843080
    {'Ciso': '129360y', 'Clabel': '129360y5', 'Cnumber': 5, 'abc_quality': 1.0072755098036974, 'absD': 20917736931863439360, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 6160, 'ainvs': [0, -1, 0, 607584, 123052896], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 129360, 'degree': 3145728, 'elladic_images': ['8.24.0.91'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3949167955837535341869761811', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [102949393183198, 86815346805], 'lmfdb_iso': '129360.cb', 'lmfdb_label': '129360.cb6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 12400, 355212], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '28.12.0-4.c.1.2', '40.48.0.bk.2', '56.48.0-8.ba.2.5', '176.48.0.?', '280.96.0.?', '880.96.1.?', '1232.96.0.?', '6160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.62261956559089555494086421754', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 245], [3, 4, 43120], [5, 6, 25872], [7, 26, 2640], [11, 12, 11760]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78657680554281368133517036471', 'prec': 103}, 'szpiro_ratio': 4.380950341026332, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}