Elliptic curve isogeny class data - 195195.q

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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, 1, -1, 1, -1, 1, 3, 1, -1, -1, -1, 0, -1, 1, -1, -2, -1, 4, -1], 'aplist': [-1, 1, 1, 1, -1, 0, -2, 4, 8, 6, 4, 2, -6, 8, 4, -10, 0, 10, 4, 8, 10, -4, 12, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 195195, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '195195.q', 'trace_hash': 1159773579239810322}
• lmfdb_iso 195195.q 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: 1253799
    {'Ciso': '195195d', 'Clabel': '195195d3', 'Cnumber': 3, 'abc_quality': 1.0486804101109977, 'absD': 438365233224598913090983125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 0, 0, -3530504390, 80736117970767], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 195195, 'degree': 148635648, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1518314937108402177695780395', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [1008263082603610603475953129, 90818848068071248125], 'lmfdb_iso': '195195.q', 'lmfdb_label': '195195.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -20890559, 36746739857], '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', '154.6.0.?', '308.12.0.?', '364.12.0.?', '572.12.0.?', '616.24.0.?', '728.24.0.?', '1144.24.0.?', '4004.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8693568149800718497428343187', 'prec': 100}, 'szpiro_ratio': 6.367533003407836, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1253800
    {'Ciso': '195195d', 'Clabel': '195195d4', 'Cnumber': 4, 'abc_quality': 0.9932984346315213, 'absD': 13432722397841298065185546875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 0, 0, -1289204420, -16921859324475], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 195195, 'degree': 148635648, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1518314937108402177695780395', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [49094060756434440524632009, 2782940530242919921875], 'lmfdb_iso': '195195.q', 'lmfdb_label': '195195.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7628429, -7702844119], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '364.24.0.?', '616.24.0.?', '1144.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8693568149800718497428343187', 'prec': 100}, 'szpiro_ratio': 6.119436854026976, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1253798
    {'Ciso': '195195d', 'Clabel': '195195d2', 'Cnumber': 2, 'abc_quality': 0.9813422214683465, 'absD': 354023222125350234097265625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4004, 'ainvs': [1, 0, 0, -236588765, 1068815881392], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 195195, 'degree': 74317824, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8052579034308675630609619788', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [303421219916435677303129, 73345189777625390625], 'lmfdb_iso': '195195.q', 'lmfdb_label': '195195.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1399934, 486381107], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '308.24.0.?', '364.24.0.?', '572.24.0.?', '4004.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5227832247000991950342182580', 'prec': 100}, 'szpiro_ratio': 5.701896719959939, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1253797
    {'Ciso': '195195d', 'Clabel': '195195d1', 'Cnumber': 1, 'abc_quality': 0.9700672891842882, 'absD': 7535205637959645560289375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 0, 0, 35069440, 105135564975], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 195195, 'degree': 37158912, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4586843131508949083523459180', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [988211925316565164151, 1561115353427004375], 'lmfdb_iso': '195195.q', 'lmfdb_label': '195195.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 207511, 47870111], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '286.6.0.?', '572.24.0.?', '616.24.0.?', '728.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1762096344201265403256021972', 'prec': 100}, 'szpiro_ratio': 5.276754156966683, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}