Elliptic curve isogeny class data - 17745.j

Formats: - HTML - YAML - JSON - 2025-11-06T04:14:17.835242

• 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, 1, 3, 1, -1, -4, -1, 0, -1, 1, -1, 6, -1, -8, -1], 'aplist': [-1, 1, 1, 1, -4, 0, 6, -8, -4, -2, 4, -10, 2, 8, -8, 6, -8, -10, 12, 8, -6, 8, 4, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 17745, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '17745.j', 'trace_hash': 2022058243476571307}
• lmfdb_iso 17745.j 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
  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: 117176
    {'Ciso': '17745w', 'Clabel': '17745w3', 'Cnumber': 3, 'abc_quality': 0.9536815956308902, 'absD': 2470722856875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [1, 0, 0, -738280, -244224475], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17745, 'degree': 172032, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8459549640224023211195048858', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [9219915604149769, 511875], 'lmfdb_iso': '17745.j', 'lmfdb_label': '17745.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4369, -111499], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '280.24.0.?', '364.24.0.?', '520.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1183], [3, 4, 5915], [5, 6, 3549], [7, 8, 2535], [13, 98, 105]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56348028529163395309276116502', 'prec': 103}, 'szpiro_ratio': 5.330191090933707, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 117175
    {'Ciso': '17745w', 'Clabel': '17745w2', 'Cnumber': 2, 'abc_quality': 0.8999013684925565, 'absD': 80940880791225, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1820, 'ainvs': [1, 0, 0, -46225, -3804568], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17745, 'degree': 86016, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4993813737424296664108888251', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2], 'jinv': [2263054145689, 16769025], 'lmfdb_iso': '17745.j', 'lmfdb_label': '17745.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -274, -1753], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '140.24.0.?', '260.24.0.?', '364.24.0.?', '1820.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 5915], [5, 6, 3549], [7, 8, 2535], [13, 98, 105]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21690669501166129838414510432', 'prec': 103}, 'szpiro_ratio': 4.480587083478234, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 117177
    {'Ciso': '17745w', 'Clabel': '17745w4', 'Cnumber': 4, 'abc_quality': 0.9573510240464985, 'absD': 31657134775745115, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [1, 0, 0, -16650, -8601633], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17745, 'degree': 172032, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8459549640224023211195048858', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [-105756712489, 6558605235], 'lmfdb_iso': '17745.j', 'lmfdb_label': '17745.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -99, -3923], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '70.6.0.a.1', '140.12.0.?', '260.12.0.?', '280.24.0.?', '364.12.0.?', '520.24.0.?', '728.24.0.?', '1820.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5915], [3, 4, 5915], [5, 6, 3549], [7, 8, 2535], [13, 98, 105]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56348028529163395309276116502', 'prec': 103}, 'szpiro_ratio': 4.646198176978782, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 117174
    {'Ciso': '17745w', 'Clabel': '17745w1', 'Cnumber': 1, 'abc_quality': 1.0367988511083188, 'absD': 6779663519265, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [1, 0, 0, -4820, 29535], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17745, 'degree': 43008, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1528077834624570117022727644', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [2565726409, 1404585], 'lmfdb_iso': '17745.j', 'lmfdb_label': '17745.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -29, 11], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '130.6.0.?', '260.24.0.?', '280.24.0.?', '728.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 845], [3, 4, 5915], [5, 6, 3549], [7, 8, 2535], [13, 98, 105]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12966689526831135632447095638', 'prec': 107}, 'szpiro_ratio': 3.787381172822456, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}