Elliptic curve isogeny class data - 259210.cf

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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, 2, 1, -1, 2, 0, 1, 1, -1, 6, 2, 4, 0, -2, 1, 6, 1, 8, -1], 'aplist': [1, 2, -1, 0, 6, 4, 6, 8, 0, 6, 4, 4, -6, 10, -12, 0, 6, 14, -14, 0, -14, 4, 0, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 259210, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '259210.cf', 'trace_hash': 1354937656713960969}
• lmfdb_iso 259210.cf 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: 1644305
    {'Ciso': '259210cf', 'Clabel': '259210cf4', 'Cnumber': 4, 'abc_quality': 0.9889132616747771, 'absD': 33872651195862646515031250, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3864, 'ainvs': [1, 1, 1, -4324426891, -109457791336937], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 259210, 'degree': 379551744, 'elladic_images': ['8.6.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1133282156514061257023372103', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [513516182162686336369, 1944885031250], 'lmfdb_iso': '259210.cf', 'lmfdb_label': '259210.cf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -166831, -26241705], 'min_quad_twist_disc': 161, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '12.24.0-6.a.1.5', '24.48.0-24.y.1.8', '483.8.0.?', '644.6.0.?', '966.24.0.?', '1288.12.0.?', '1932.48.0.?', '3864.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 81, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5726260331591746277462844227', 'prec': 100}, 'szpiro_ratio': 6.271461657482669, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1644304
    {'Ciso': '259210cf', 'Clabel': '259210cf3', 'Cnumber': 3, 'abc_quality': 0.9549350422126542, 'absD': 134176746085778641601562500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3864, 'ainvs': [1, 1, 1, -274270641, -1657212524437], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 259210, 'degree': 189775872, 'elladic_images': ['8.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7667546253714334709937211496', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [131010595463836369, 7704101562500], 'lmfdb_iso': '259210.cf', 'lmfdb_label': '259210.cf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10581, -397955], 'min_quad_twist_disc': 161, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.3', '8.6.0.c.1', '24.48.0-24.bw.1.6', '322.6.0.?', '483.8.0.?', '966.48.0.?', '1288.12.0.?', '3864.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 81, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2260524428792019730376683620', 'prec': 100}, 'szpiro_ratio': 5.607723412426909, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1644303
    {'Ciso': '259210cf', 'Clabel': '259210cf2', 'Cnumber': 2, 'abc_quality': 0.9905874104765202, 'absD': 25266689768067035704224200, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3864, 'ainvs': [1, 1, 1, -73642101, -26081342701], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 259210, 'degree': 126517248, 'elladic_images': ['8.6.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5640220713173512800047145918', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2535986675931409, 1450751712200], 'lmfdb_iso': '259210.cf', 'lmfdb_label': '259210.cf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2841, -6479], 'min_quad_twist_disc': 161, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '12.24.0-6.a.1.11', '24.48.0-24.y.1.6', '483.8.0.?', '644.6.0.?', '966.24.0.?', '1288.12.0.?', '1932.48.0.?', '3864.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0233198888251197820486618042', 'prec': 100}, 'szpiro_ratio': 5.291271684164928, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1644302
    {'Ciso': '259210cf', 'Clabel': '259210cf1', 'Cnumber': 1, 'abc_quality': 0.9246666811359207, 'absD': 59333066651168936360000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3864, 'ainvs': [1, 1, 1, -47721101, 126323768899], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 259210, 'degree': 63258624, 'elladic_images': ['8.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2174484810373786252960985311', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [690080604747409, 3406760000], 'lmfdb_iso': '259210.cf', 'lmfdb_label': '259210.cf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1841, 30121], 'min_quad_twist_disc': 161, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0-6.a.1.1', '8.6.0.c.1', '24.48.0-24.bw.1.2', '322.6.0.?', '483.8.0.?', '966.48.0.?', '1288.12.0.?', '3864.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67674629854514712734004574347', 'prec': 103}, 'szpiro_ratio': 5.1868602495311995, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}