Elliptic curve isogeny class data - 327600.fp

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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, 0, 0, -1, 0, 0, 0, 4, 0, -1, 0, 0, 0, -6, 0, 8, 0], 'aplist': [0, 0, 0, -1, 4, -1, -6, 8, -8, -2, -8, -2, 2, -8, 12, 10, 4, 2, -8, 4, 6, 8, -4, -14, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 327600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '327600.fp', 'trace_hash': 1614999455985549238}
• lmfdb_iso 327600.fp 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: 2054332
    {'Ciso': '327600fp', 'Clabel': '327600fp3', 'Cnumber': 3, 'abc_quality': 1.0534377257170546, 'absD': 4811243639861131200000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -567844428675, 164699456938789250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 327600, 'degree': 2123366400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.1303178280277948542765370891', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4], 'jinv': [434014578033107719741685694649, 103121648659575000], 'lmfdb_iso': '327600.fp', 'lmfdb_label': '327600.fp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -157734563, 762431763093], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '40.12.0-4.c.1.5', '56.12.0-4.c.1.6', '84.12.0.?', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.1545094146253138379434564271', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 8, 36400], [5, 14, 13104], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0831455469167445118613026826', 'prec': 100}, 'szpiro_ratio': 7.308050522471422, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2054331
    {'Ciso': '327600fp', 'Clabel': '327600fp2', 'Cnumber': 2, 'abc_quality': 1.0358851904498263, 'absD': 2409736501022760000000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -35494428675, 2572796788789250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 327600, 'degree': 1061683200, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.7837442377478221995679210284', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2], 'jinv': [105997782562506306791694649, 51649016225625000000], 'lmfdb_iso': '327600.fp', 'lmfdb_label': '327600.fp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -9859563, 11906988093], 'min_quad_twist_disc': 60, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0.a.1', '56.12.0-2.a.1.2', '84.12.0.?', '120.24.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], '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': '18.309018829250627675886912854', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 36400], [5, 14, 13104], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7365719566367718571526866219', 'prec': 100}, 'szpiro_ratio': 6.653112660545585, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2054333
    {'Ciso': '327600fp', 'Clabel': '327600fp4', 'Cnumber': 4, 'abc_quality': 1.0440471482173832, 'absD': 3509802785302734375000000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -29580780675, 3458205908293250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 327600, 'degree': 2123366400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.1303178280277948542765370891', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4], 'jinv': [-61354313914516350666047929, 75227254486083984375000], 'lmfdb_iso': '327600.fp', 'lmfdb_label': '327600.fp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -8216883, 16006788837], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '24.12.0.v.1', '56.12.0-4.c.1.6', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '36.618037658501255351773825709', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 36400], [5, 14, 13104], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0831455469167445118613026826', 'prec': 100}, 'szpiro_ratio': 6.699623794656158, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2054330
    {'Ciso': '327600fp', 'Clabel': '327600fp1', 'Cnumber': 1, 'abc_quality': 1.028583907680732, 'absD': 828645171389160652800000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -2592156675, 25733206453250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 327600, 'degree': 530841600, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4371706474678495448593049677', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2, 4], 'jinv': [41285728533151645510969, 17760741842188800000], 'lmfdb_iso': '327600.fp', 'lmfdb_label': '327600.fp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -720043, 118835197], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0.bb.1', '56.12.0-4.c.1.6', '84.12.0.?', '120.24.0.?', '168.24.0.?', '210.6.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.1545094146253138379434564271', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 8, 36400], [5, 14, 13104], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3899983663567992024440705612', 'prec': 100}, 'szpiro_ratio': 6.0349287551457165, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}