Elliptic curve isogeny class data - 8670.r

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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, -1, 1, 1, -1, 0, 1, 1, 1, -4, -1, 2, 0, -1, 1, 0, 1, -4, 1], 'aplist': [1, -1, 1, 0, -4, 2, 0, -4, -4, -2, 4, 6, 10, -8, 0, 6, -8, -10, -8, -8, 2, -4, 4, -14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 8670, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '8670.r', 'trace_hash': 1635604046090819867}
• ec_padic •

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

  
  
  • id: 359532
    {'lmfdb_iso': '8670.r', 'p': 11, 'prec': 20, 'unit': 51639674274547402473, 'val': 1}
  • id: 359530
    {'lmfdb_iso': '8670.r', 'p': 13, 'prec': 20, 'unit': 103731423372074664820, 'val': 2}
  • id: 359533
    {'lmfdb_iso': '8670.r', 'p': 19, 'prec': 20, 'unit': 734562605961666411297909, 'val': 1}
  • id: 359536
    {'lmfdb_iso': '8670.r', 'p': 23, 'prec': 20, 'unit': 7897295881139444317990057, 'val': 1}
  • id: 359529
    {'lmfdb_iso': '8670.r', 'p': 29, 'prec': 20, 'unit': 4031083441568332763745106229, 'val': 1}
  • id: 359540
    {'lmfdb_iso': '8670.r', 'p': 31, 'prec': 20, 'unit': 15292350303151443604207324884, 'val': 1}
  • id: 359525
    {'lmfdb_iso': '8670.r', 'p': 37, 'prec': 20, 'unit': 74925229250435554040682472073, 'val': 1}
  • id: 359527
    {'lmfdb_iso': '8670.r', 'p': 41, 'prec': 20, 'unit': 66699843366199011773777113812, 'val': 2}
  • id: 359528
    {'lmfdb_iso': '8670.r', 'p': 43, 'prec': 20, 'unit': 4257437756113911602291969460137, 'val': 1}
  • id: 359534
    {'lmfdb_iso': '8670.r', 'p': 53, 'prec': 20, 'unit': 65218772364735013336502385899063, 'val': 1}
  • id: 359538
    {'lmfdb_iso': '8670.r', 'p': 59, 'prec': 20, 'unit': 3295917933281499500770451940566376, 'val': 1}
  • id: 359539
    {'lmfdb_iso': '8670.r', 'p': 61, 'prec': 20, 'unit': 1872275558272190752777210279201762, 'val': 1}
  • id: 359524
    {'lmfdb_iso': '8670.r', 'p': 67, 'prec': 20, 'unit': 196235758000452701475386696970455, 'val': 2}
  • id: 359526
    {'lmfdb_iso': '8670.r', 'p': 71, 'prec': 20, 'unit': 916248175268592796257181728602463, 'val': 1}
  • id: 359535
    {'lmfdb_iso': '8670.r', 'p': 73, 'prec': 20, 'unit': 256841955642536834052662136950446, 'val': 1}
  • id: 359531
    {'lmfdb_iso': '8670.r', 'p': 79, 'prec': 20, 'unit': 538460071387966504587098318754261688, 'val': 1}
  • id: 359523
    {'lmfdb_iso': '8670.r', 'p': 83, 'prec': 20, 'unit': 2094220208358785953138364878551230355, 'val': 1}
  • id: 359537
    {'lmfdb_iso': '8670.r', 'p': 89, 'prec': 20, 'unit': 992957867511438814468726349357373593, 'val': 1}
  • id: 359522
    {'lmfdb_iso': '8670.r', 'p': 97, 'prec': 20, 'unit': 8045414982684460709671540699340257157, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 55838
    {'Ciso': '8670r', 'Clabel': '8670r3', 'Cnumber': 3, 'abc_quality': 1.0096978115255335, 'absD': 41546790641250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 1, -53760, -4810113], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8670, 'degree': 36864, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4919811128951952771091875525', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [711882749089, 1721250], 'lmfdb_iso': '8670.r', 'lmfdb_label': '8670.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -186, -990], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '120.24.0.?', '136.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2755248300330218307060104411', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 2890], [5, 6, 1734], [17, 162, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.075374440867087236984420243563', 'prec': 107}, 'szpiro_ratio': 4.884461329679933, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 55839
    {'Ciso': '8670r', 'Clabel': '8670r4', 'Cnumber': 4, 'abc_quality': 0.9394020799048373, 'absD': 60479817013470, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 1, -47980, 4007855], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8670, 'degree': 36864, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4919811128951952771091875525', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [506071034209, 2505630], 'lmfdb_iso': '8670.r', 'lmfdb_label': '8670.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -166, 806], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '120.24.0.?', '136.24.0.?', '1020.12.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.1020993201320873228240417642', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4335], [3, 4, 2890], [5, 6, 1734], [17, 162, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.075374440867087236984420243563', 'prec': 107}, 'szpiro_ratio': 4.846828960524284, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 55837
    {'Ciso': '8670r', 'Clabel': '8670r2', 'Cnumber': 2, 'abc_quality': 1.067452515474607, 'absD': 6278181696900, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 1, -4630, -15025], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8670, 'degree': 18432, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1454075226152226224005714917', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [454756609, 260100], 'lmfdb_iso': '8670.r', 'lmfdb_label': '8670.r3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -16, -4], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '120.24.0.?', '136.24.0.?', '1020.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5510496600660436614120208821', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 2890], [5, 6, 1734], [17, 162, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27119914941288541772419581724', 'prec': 107}, 'szpiro_ratio': 4.073233813912665, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 55836
    {'Ciso': '8670r', 'Clabel': '8670r1', 'Cnumber': 1, 'abc_quality': 0.9196558505806328, 'absD': 98481281520, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [1, 1, 1, 1150, -1153], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8670, 'degree': 9216, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79883393233524996769195543102', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [6967871, 4080], 'lmfdb_iso': '8670.r', 'lmfdb_label': '8670.r4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 4, 0], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '120.24.0.?', '136.24.0.?', '510.6.0.?', '1020.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.1020993201320873228240417642', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4335], [3, 4, 2890], [5, 6, 1734], [17, 162, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61777273969285807243281187792', 'prec': 107}, 'szpiro_ratio': 3.612423728246982, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}