Elliptic curve isogeny class data - 262080.hk

Formats: - HTML - YAML - JSON - 2026-04-20T16:54:35.174043

• 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, -4, 0, -1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 1, -1, -4, -1, -2, -4, 0, 6, -8, -6, -10, -4, 0, 6, 4, -6, 4, 0, -6, 0, 12, 6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 262080, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '262080.hk', 'trace_hash': 2189865162236520568}
• lmfdb_iso 262080.hk 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
  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: 1662091
    {'Ciso': '262080hk', 'Clabel': '262080hk5', 'Cnumber': 5, 'abc_quality': 0.9896819690631332, 'absD': 855932313600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, 0, 0, -35231052, 80488987504], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 262080, 'degree': 12582912, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8374657619075224559198841064', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 192, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [25306558948218234961, 4478906250], 'lmfdb_iso': '262080.hk', 'lmfdb_label': '262080.hk1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -61165, -5847895], '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', '24.24.0-8.n.1.11', '56.24.0-8.n.1.4', '80.24.0.?', '104.24.0.?', '156.12.0.?', '168.48.0.?', '240.48.0.?', '312.48.0.?', '560.48.0.?', '728.48.0.?', '1040.48.0.?', '1680.96.0.?', '2184.96.0.?', '3120.96.0.?', '7280.96.0.?', '21840.192.1.?'], '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': '0.77974712125721230112410684390', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2484388467335496460964133058', 'prec': 100}, 'szpiro_ratio': 5.109317776886804, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1662089
    {'Ciso': '262080hk', 'Clabel': '262080hk3', 'Cnumber': 3, 'abc_quality': 0.9518697497191672, 'absD': 15702591852380160000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -2208972, 1249204336], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 262080, 'degree': 6291456, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4908921716275498012112680457', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 192, 'isogeny_degrees': [1, 2, 4], 'jinv': [6237734630203441, 82168222500], 'lmfdb_iso': '262080.hk', 'lmfdb_label': '262080.hk2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3835, -91963], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0-4.b.1.11', '40.24.0.h.2', '56.24.0-4.b.1.2', '104.24.0.?', '120.48.0.?', '156.24.0.?', '168.48.0.?', '280.48.0.?', '312.48.0.?', '520.48.0.?', '728.48.0.?', '840.96.0.?', '1560.96.0.?', '2184.96.0.?', '3640.96.0.?', '10920.192.1.?'], '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': '1.5594942425144246022482136878', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.90186525645357699138779724505', 'prec': 103}, 'szpiro_ratio': 4.443404658595971, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1662092
    {'Ciso': '262080hk', 'Clabel': '262080hk6', 'Cnumber': 6, 'abc_quality': 1.0265231881197245, 'absD': 4698239640065762918400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, 0, 0, -336972, 3298669936], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 262080, 'degree': 12582912, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8374657619075224559198841064', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 192, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-22143063655441, 24584858584650], 'lmfdb_iso': '262080.hk', 'lmfdb_label': '262080.hk3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -585, -238863], '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', '24.24.0-8.n.1.11', '40.24.0.ca.1', '104.24.0.?', '112.24.0.?', '120.48.0.?', '156.12.0.?', '312.48.0.?', '336.48.0.?', '520.48.0.?', '560.48.0.?', '1456.48.0.?', '1560.96.0.?', '1680.96.0.?', '4368.96.0.?', '7280.96.0.?', '21840.192.1.?'], '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': '3.1189884850288492044964273756', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2484388467335496460964133058', 'prec': 100}, 'szpiro_ratio': 4.597214944561794, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1662088
    {'Ciso': '262080hk', 'Clabel': '262080hk2', 'Cnumber': 2, 'abc_quality': 0.9370530267261244, 'absD': 962807446005350400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -262092, -20940176], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 262080, 'degree': 3145728, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1443185813475771465026519850', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 192, 'isogeny_degrees': [1, 2, 4], 'jinv': [10418796526321, 5038160400], 'lmfdb_iso': '262080.hk', 'lmfdb_label': '262080.hk4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -455, 1325], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0-4.b.1.1', '40.24.0.h.1', '56.24.0-4.b.1.3', '104.24.0.?', '120.48.0.?', '168.48.0.?', '280.48.0.?', '312.48.0.?', '420.24.0.?', '520.48.0.?', '728.48.0.?', '840.96.0.?', '1560.96.0.?', '2184.96.0.?', '3640.96.0.?', '10920.192.1.?'], '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': '3.1189884850288492044964273756', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.55529166617360433667918118435', 'prec': 103}, 'szpiro_ratio': 3.930856309816539, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1662087
    {'Ciso': '262080hk', 'Clabel': '262080hk1', 'Cnumber': 1, 'abc_quality': 0.907047640144071, 'absD': 868127311134720, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, 0, 0, -216012, -38616464], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 262080, 'degree': 1572864, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7977449910676044917940359242', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 192, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5832972054001, 4542720], 'lmfdb_iso': '262080.hk', 'lmfdb_label': '262080.hk5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -375, 2637], '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', '24.24.0-8.n.1.9', '80.24.0.?', '112.24.0.?', '208.24.0.?', '210.6.0.?', '240.48.0.?', '280.24.0.?', '336.48.0.?', '420.12.0.?', '520.24.0.?', '560.48.0.?', '624.48.0.?', '728.24.0.?', '840.48.0.?', '1040.48.0.?', '1456.48.0.?', '1560.48.0.?', '1680.96.0.?', '2184.48.0.?', '3120.96.0.?', '3640.48.0.?', '4368.96.0.?', '7280.96.0.?', '10920.96.0.?', '21840.192.1.?'], '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': '6.2379769700576984089928547512', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 315], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20871807589363168197056512355', 'prec': 103}, 'szpiro_ratio': 3.8843617568829036, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1662090
    {'Ciso': '262080hk', 'Clabel': '262080hk4', 'Cnumber': 4, 'abc_quality': 0.963432702798655, 'absD': 65473198727044792320, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, 0, 0, 947508, -159802256], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 262080, 'degree': 6291456, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4908921716275498012112680457', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 192, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [492271755328079, 342606902820], 'lmfdb_iso': '262080.hk', 'lmfdb_label': '262080.hk6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1645, 12245], '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', '24.24.0-8.n.1.9', '40.24.0.ca.2', '56.24.0-8.n.1.8', '120.48.0.?', '168.48.0.?', '208.24.0.?', '280.48.0.?', '420.12.0.?', '624.48.0.?', '840.96.0.?', '1040.48.0.?', '1456.48.0.?', '3120.96.0.?', '4368.96.0.?', '7280.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2379769700576984089928547512', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 315], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.90186525645357699138779724505', 'prec': 103}, 'szpiro_ratio': 4.23987315837821, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}