Elliptic curve isogeny class data - 221760.nf

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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, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 1, 1, 1, 2, -2, -4, 0, -2, -8, 10, 6, 4, 0, -2, -12, -14, -12, 0, -6, -16, -4, 14, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 221760, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '221760.nf', 'trace_hash': 15259661978084720}
• lmfdb_iso 221760.nf 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 1417547
    {'Ciso': '221760hv', 'Clabel': '221760hv5', 'Cnumber': 5, 'abc_quality': 1.00153318314077, 'absD': 30170203176960000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, 0, 0, -73920972, 244624311664], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 221760, 'degree': 12582912, 'elladic_images': ['16.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9119669015523622238903325591', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 343, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [467508233804095622882, 315748125], 'lmfdb_iso': '221760.nf', 'lmfdb_label': '221760.nf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2053360, -1131835508], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.3', '24.24.0-8.n.1.11', '48.48.0-48.g.1.19', '56.24.0.bu.2', '88.24.0.?', '112.48.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.0.?', '528.96.0.?', '616.48.0.?', '924.12.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.59647867970616443903604663135', 'prec': 103}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3807022514250515231849644352', 'prec': 100}, 'szpiro_ratio': 5.3592691006449655, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1417545
    {'Ciso': '221760hv', 'Clabel': '221760hv3', 'Cnumber': 3, 'abc_quality': 0.9670732682705956, 'absD': 8962598937600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -4620972, 3820671664], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 221760, 'degree': 6291456, 'elladic_images': ['8.24.0.26'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5653933112723895691817164983', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 343, 'isogeny_degrees': [1, 2, 4], 'jinv': [228410605013945764, 187597265625], 'lmfdb_iso': '221760.nf', 'lmfdb_label': '221760.nf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -128360, -17645508], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.4', '24.48.0-24.m.1.13', '56.48.0-56.h.2.11', '88.48.0.?', '168.96.0.?', '264.96.0.?', '616.96.0.?', '924.24.0.?', '1848.192.1.?'], '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': '1.1929573594123288780720932627', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0918909261917409775944510512', 'prec': 100}, 'szpiro_ratio': 4.68358973172807, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1417548
    {'Ciso': '221760hv', 'Clabel': '221760hv6', 'Cnumber': 6, 'abc_quality': 0.9823979141579505, 'absD': 10103940000000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, 0, 0, -3623052, 5516736496], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 221760, 'degree': 12582912, 'elladic_images': ['16.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9119669015523622238903325591', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 343, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-55043996611705922, 105743408203125], 'lmfdb_iso': '221760.nf', 'lmfdb_label': '221760.nf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -100640, -25506900], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.3', '24.24.0-8.n.1.11', '48.48.0-48.g.1.19', '56.24.0-8.n.1.4', '88.24.0.?', '112.48.0.?', '168.48.0.?', '176.48.0.?', '264.48.0.?', '336.96.0.?', '528.96.0.?', '616.48.0.?', '924.12.0.?', '1232.96.0.?', '1848.96.0.?', '3696.192.1.?'], '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': '2.3859147188246577561441865254', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3807022514250515231849644352', 'prec': 100}, 'szpiro_ratio': 4.743162346838129, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1417546
    {'Ciso': '221760hv', 'Clabel': '221760hv4', 'Cnumber': 4, 'abc_quality': 0.9608384335507779, 'absD': 37636244708725555200, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, 0, 0, -2998092, -1976171024], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 221760, 'degree': 6291456, 'elladic_images': ['8.24.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5653933112723895691817164983', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 343, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [62380825826921284, 787768887675], 'lmfdb_iso': '221760.nf', 'lmfdb_label': '221760.nf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -83280, 9176700], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.8', '12.12.0.h.1', '24.48.0-24.bl.1.10', '56.48.0-56.bu.1.16', '168.96.0.?', '176.48.0.?', '528.96.0.?', '1232.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1929573594123288780720932627', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0918909261917409775944510512', 'prec': 100}, 'szpiro_ratio': 4.578150626185323, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1417544
    {'Ciso': '221760hv', 'Clabel': '221760hv2', 'Cnumber': 2, 'abc_quality': 0.9487204231083621, 'absD': 2361744404490240000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -352092, 31613776], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 221760, 'degree': 3145728, 'elladic_images': ['8.24.0.19'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2188197209924169144731004376', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 343, 'isogeny_degrees': [1, 2, 4], 'jinv': [404151985581136, 197735855625], 'lmfdb_iso': '221760.nf', 'lmfdb_label': '221760.nf5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9780, -143100], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.6', '12.24.0.c.1', '24.48.0-12.c.1.6', '56.48.0-56.h.1.28', '88.48.0.?', '168.96.0.?', '264.96.0.?', '616.96.0.?', '1848.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.59647867970616443903604663135', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86084186600509254112204034410', 'prec': 103}, 'szpiro_ratio': 4.056147753465788, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1417543
    {'Ciso': '221760hv', 'Clabel': '221760hv1', 'Cnumber': 1, 'abc_quality': 0.9672385213274213, 'absD': 39053363052211200, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, 0, 0, 80088, 3781384], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 221760, 'degree': 1572864, 'elladic_images': ['8.24.0.98'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8722461307124442597644843769', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 343, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [76102438406144, 52315569075], 'lmfdb_iso': '221760.nf', 'lmfdb_label': '221760.nf6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 2225, -18248], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.24.0-8.n.1.4', '12.12.0.g.1', '24.48.0-24.bh.1.12', '88.48.0.?', '112.48.0.?', '264.96.0.?', '336.96.0.?', '1232.96.0.?', '3696.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1929573594123288780720932627', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74531733591176832288583499056', 'prec': 103}, 'szpiro_ratio': 3.69525956149583, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}