Elliptic curve isogeny class data - 95370.j

Formats: - HTML - YAML - JSON - 2024-05-04T03:22:30.885243

• 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, 4, -1, 1, 1, -1, -1, 2, -4, 1, 1, 0, -1, -4, -1], 'aplist': [-1, -1, -1, 4, -1, 2, 0, -4, 0, 6, -8, 10, -6, -4, 12, 6, 12, -2, 8, 12, -2, -8, -12, -6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 95370, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '95370.j', 'trace_hash': 2148538894759661864}
• ec_padic •

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

  
  
  • id: 4956720
    {'lmfdb_iso': '95370.j', 'p': 7, 'prec': 20, 'unit': 909046956325034, 'val': 1}
  • id: 4956724
    {'lmfdb_iso': '95370.j', 'p': 13, 'prec': 20, 'unit': 325702847825219400785, 'val': 1}
  • id: 4956727
    {'lmfdb_iso': '95370.j', 'p': 19, 'prec': 20, 'unit': 610501810583148811046851, 'val': 1}
  • id: 4956723
    {'lmfdb_iso': '95370.j', 'p': 29, 'prec': 20, 'unit': 3874593027031432247370600873, 'val': 1}
  • id: 4956734
    {'lmfdb_iso': '95370.j', 'p': 31, 'prec': 20, 'unit': 11749672086048587452267665486, 'val': 1}
  • id: 4956719
    {'lmfdb_iso': '95370.j', 'p': 37, 'prec': 20, 'unit': 206748641308228556757084608285, 'val': 1}
  • id: 4956721
    {'lmfdb_iso': '95370.j', 'p': 41, 'prec': 20, 'unit': 4101783502233816380020435330870, 'val': 1}
  • id: 4956722
    {'lmfdb_iso': '95370.j', 'p': 43, 'prec': 20, 'unit': 9279742869761831199158900163011, 'val': 1}
  • id: 4956732
    {'lmfdb_iso': '95370.j', 'p': 47, 'prec': 20, 'unit': 46465177607945549416380283335559, 'val': 1}
  • id: 4956728
    {'lmfdb_iso': '95370.j', 'p': 53, 'prec': 20, 'unit': 23605005507828962091687699257687, 'val': 1}
  • id: 4956726
    {'lmfdb_iso': '95370.j', 'p': 59, 'prec': 20, 'unit': 88981585022977908595933728818260, 'val': 1}
  • id: 4956733
    {'lmfdb_iso': '95370.j', 'p': 61, 'prec': 20, 'unit': 3756487634525286718768584595102238, 'val': 1}
  • id: 4956718
    {'lmfdb_iso': '95370.j', 'p': 67, 'prec': 20, 'unit': 6644082449280000308640446005954812, 'val': 1}
  • id: 4956731
    {'lmfdb_iso': '95370.j', 'p': 71, 'prec': 20, 'unit': 38984639962686421799780727182791627, 'val': 1}
  • id: 4956729
    {'lmfdb_iso': '95370.j', 'p': 73, 'prec': 20, 'unit': 153199326966375045133611612636642445, 'val': 1}
  • id: 4956725
    {'lmfdb_iso': '95370.j', 'p': 79, 'prec': 20, 'unit': 261075839059072952521159201647331957, 'val': 1}
  • id: 4956717
    {'lmfdb_iso': '95370.j', 'p': 83, 'prec': 20, 'unit': 206172088457373461157476268164608450, 'val': 1}
  • id: 4956730
    {'lmfdb_iso': '95370.j', 'p': 89, 'prec': 20, 'unit': 7659764497959610610104979718885875433, 'val': 1}
  • id: 4956716
    {'lmfdb_iso': '95370.j', 'p': 97, 'prec': 20, 'unit': 12626411740590867704020316120241002569, '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: 627757
    {'Ciso': '95370c', 'Clabel': '95370c8', 'Cnumber': 8, 'abc_quality': 1.0433108113473337, 'absD': 13334362366406991360, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 1, 0, -58157343448, -5398298602443968], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 95370, 'degree': 191102976, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3773941209401701189391862839', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [901247067798311192691198986281, 552431869440], 'lmfdb_iso': '95370.j', 'lmfdb_label': '95370.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -201236483, -1098790303234], 'min_quad_twist_disc': 17, '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', '20.12.0-4.c.1.1', '24.48.0.bu.3', '51.8.0-3.a.1.1', '60.48.0-12.g.1.7', '102.24.0.?', '120.96.0.?', '204.48.0.?', '264.96.1.?', '408.96.0.?', '1020.96.0.?', '1320.192.1.?', '1496.12.0.?', '2040.192.1.?', '4488.192.1.?', '7480.24.0.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '117.48904322694809859270784272', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9607874489120620788144189750', 'prec': 100}, 'szpiro_ratio': 7.498383147029275, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 627756
    {'Ciso': '95370c', 'Clabel': '95370c7', 'Cnumber': 7, 'abc_quality': 1.025427885355602, 'absD': 148506171813835175905055040000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 1, 0, -3659249368, -83158963742912], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 95370, 'degree': 191102976, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3773941209401701189391862839', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [224494757451893010998773801, 6152490825146276160000], 'lmfdb_iso': '95370.j', 'lmfdb_label': '95370.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -12661763, -16927055362], 'min_quad_twist_disc': 17, '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', '24.48.0.bu.1', '40.12.0-4.c.1.5', '51.8.0-3.a.1.1', '102.24.0.?', '120.96.0.?', '132.48.0.?', '204.48.0.?', '264.96.1.?', '408.96.0.?', '748.12.0.?', '1320.192.1.?', '2040.192.1.?', '2244.96.0.?', '4488.192.1.?', '7480.24.0.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '117.48904322694809859270784272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9607874489120620788144189750', 'prec': 100}, 'szpiro_ratio': 6.77467564531322, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 627755
    {'Ciso': '95370c', 'Clabel': '95370c6', 'Cnumber': 6, 'abc_quality': 1.0249581978625752, 'absD': 4158099399266859279974400, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 1, 0, -3634834648, -84349518266048], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 95370, 'degree': 95551488, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0308205306601974642305702232', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [220031146443748723000125481, 172266701724057600], 'lmfdb_iso': '95370.j', 'lmfdb_label': '95370.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -12577283, -17169377794], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '20.12.0-2.a.1.1', '24.48.0.o.1', '51.8.0-3.a.1.1', '60.48.0-6.a.1.2', '102.48.0.?', '120.96.0.?', '132.48.0.?', '264.96.1.?', '408.96.0.?', '660.96.0.?', '748.12.0.?', '1020.96.0.?', '1320.192.1.?', '2040.192.1.?', '2244.96.0.?', '3740.24.0.?', '4488.192.1.?', '11220.192.1.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '58.744521613474049296353921359', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6142138586320894241058029143', 'prec': 100}, 'szpiro_ratio': 6.77292402437689, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 627754
    {'Ciso': '95370c', 'Clabel': '95370c5', 'Cnumber': 5, 'abc_quality': 1.0120982194921988, 'absD': 34771100456049459243291000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 1, 0, -718138273, -7402169105123], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 95370, 'degree': 63700992, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8280879766061152732415636655', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1696892787277117093383481, 1440538624914939000], 'lmfdb_iso': '95370.j', 'lmfdb_label': '95370.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2484908, -1506795694], 'min_quad_twist_disc': 17, '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', '20.12.0-4.c.1.1', '24.48.0.bu.4', '51.8.0-3.a.1.2', '60.48.0-12.g.1.7', '102.24.0.?', '120.96.0.?', '204.48.0.?', '264.96.1.?', '408.96.0.?', '1020.96.0.?', '1320.192.1.?', '1496.12.0.?', '2040.192.1.?', '4488.192.1.?', '7480.24.0.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '39.163014408982699530902614239', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4114813045780072331167963566', 'prec': 100}, 'szpiro_ratio': 6.348610902636894, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 627753
    {'Ciso': '95370c', 'Clabel': '95370c4', 'Cnumber': 4, 'abc_quality': 1.0086073801975677, 'absD': 141501509375851001953125000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 1, 0, -470314993, 3883691455213], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 95370, 'degree': 63700992, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8280879766061152732415636655', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [476646772170172569823801, 5862293314453125000], 'lmfdb_iso': '95370.j', 'lmfdb_label': '95370.j5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1627388, 790397138], 'min_quad_twist_disc': 17, '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', '24.48.0.bu.2', '40.12.0-4.c.1.5', '51.8.0-3.a.1.2', '102.24.0.?', '120.96.0.?', '132.48.0.?', '204.48.0.?', '264.96.1.?', '408.96.0.?', '748.12.0.?', '1320.192.1.?', '2040.192.1.?', '2244.96.0.?', '4488.192.1.?', '7480.24.0.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '39.163014408982699530902614239', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4114813045780072331167963566', 'prec': 100}, 'szpiro_ratio': 6.237863334167243, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 627752
    {'Ciso': '95370c', 'Clabel': '95370c3', 'Cnumber': 3, 'abc_quality': 1.0021324187035838, 'absD': 36305117333577721561743360, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 1, 0, -225651928, -1336600870592], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 95370, 'degree': 47775744, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6842469403802248095219541625', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-52643812360427830814761, 1504091705903677440], 'lmfdb_iso': '95370.j', 'lmfdb_label': '95370.j6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -780803, -272099842], 'min_quad_twist_disc': 17, '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', '20.12.0-4.c.1.2', '24.48.0.bs.1', '51.8.0-3.a.1.1', '60.48.0-12.g.1.8', '102.24.0.?', '120.96.0.?', '132.48.0.?', '204.48.0.?', '264.96.1.?', '330.24.0.?', '408.96.0.?', '660.96.0.?', '748.12.0.?', '1020.96.0.?', '1320.192.1.?', '1870.6.0.?', '2040.192.1.?', '2244.96.0.?', '3740.24.0.?', '4488.192.1.?', '5610.48.0.?', '11220.192.1.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '117.48904322694809859270784272', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2676402683521167693971868536', 'prec': 100}, 'szpiro_ratio': 6.049905325628072, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 627751
    {'Ciso': '95370c', 'Clabel': '95370c2', 'Cnumber': 2, 'abc_quality': 1.0069950709597306, 'absD': 9008967294564907329000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 1, 0, -54883273, -60334208123], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 95370, 'degree': 31850496, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4815143863261426185329476047', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [757443433548897303481, 373234243041000000], 'lmfdb_iso': '95370.j', 'lmfdb_label': '95370.j7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -189908, -12291694], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '20.12.0-2.a.1.1', '24.48.0.o.2', '51.8.0-3.a.1.2', '60.48.0-6.a.1.2', '102.48.0.?', '120.96.0.?', '132.48.0.?', '264.96.1.?', '408.96.0.?', '660.96.0.?', '748.12.0.?', '1020.96.0.?', '1320.192.1.?', '2040.192.1.?', '2244.96.0.?', '3740.24.0.?', '4488.192.1.?', '11220.192.1.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.581507204491349765451307120', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0649077142980345784081802958', 'prec': 100}, 'szpiro_ratio': 5.675779583399036, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 627750
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