Elliptic curve isogeny class data - 123840.e

Formats: - HTML - YAML - JSON - 2025-09-28T16:19:56.876461

• 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, -4, 0, 0, 0, 0, 0, -6, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, -1, -4, 0, -6, 6, -4, 0, 2, -8, -10, 6, -1, 8, -6, 0, -10, -4, 8, -6, 0, -16, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 123840, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '123840.e', 'trace_hash': 1651770715999950130}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 6482281
    {'lmfdb_iso': '123840.e', 'p': 7, 'prec': 20, 'unit': 5320930081975681, 'val': 1}
  • id: 6482285
    {'lmfdb_iso': '123840.e', 'p': 13, 'prec': 20, 'unit': 491411949011879748582, 'val': 1}
  • id: 6482287
    {'lmfdb_iso': '123840.e', 'p': 17, 'prec': 20, 'unit': 144297512612832365480540, 'val': 1}
  • id: 6482288
    {'lmfdb_iso': '123840.e', 'p': 19, 'prec': 20, 'unit': 1135933852875294737439318, 'val': 1}
  • id: 6482284
    {'lmfdb_iso': '123840.e', 'p': 29, 'prec': 20, 'unit': 173854185946429318938000395, 'val': 1}
  • id: 6482293
    {'lmfdb_iso': '123840.e', 'p': 31, 'prec': 20, 'unit': 10753198778075859353103887865, 'val': 1}
  • id: 6482280
    {'lmfdb_iso': '123840.e', 'p': 37, 'prec': 20, 'unit': 121480977834500349468938418334, 'val': 1}
  • id: 6482282
    {'lmfdb_iso': '123840.e', 'p': 41, 'prec': 20, 'unit': 2121558022519278652275766184330, 'val': 1}
  • id: 6482286
    {'lmfdb_iso': '123840.e', 'p': 47, 'prec': 20, 'unit': 1048333797622881710615828725076, 'val': 2}
  • id: 6482289
    {'lmfdb_iso': '123840.e', 'p': 53, 'prec': 20, 'unit': 89034998281231494851128313189831, 'val': 1}
  • id: 6482292
    {'lmfdb_iso': '123840.e', 'p': 61, 'prec': 20, 'unit': 5487749331385295437580100389182016, 'val': 1}
  • id: 6482279
    {'lmfdb_iso': '123840.e', 'p': 67, 'prec': 20, 'unit': 4648607114488935302011088493156019, 'val': 1}
  • id: 6482283
    {'lmfdb_iso': '123840.e', 'p': 71, 'prec': 20, 'unit': 113704738894175723900154751608153993, 'val': 1}
  • id: 6482290
    {'lmfdb_iso': '123840.e', 'p': 73, 'prec': 20, 'unit': 153806898953960580775756507744385422, 'val': 1}
  • id: 6482278
    {'lmfdb_iso': '123840.e', 'p': 83, 'prec': 20, 'unit': 2303739052028741723765451648836311148, 'val': 1}
  • id: 6482291
    {'lmfdb_iso': '123840.e', 'p': 89, 'prec': 20, 'unit': 3808528787479065573141528936576207359, 'val': 1}
  • id: 6482277
    {'lmfdb_iso': '123840.e', 'p': 97, 'prec': 20, 'unit': 52111882080885188762146962423026974071, 'val': 1}
• 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: 808497
    {'Ciso': '123840ez', 'Clabel': '123840ez4', 'Cnumber': 4, 'abc_quality': 0.9907686568923021, 'absD': 1984529500559769600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1032, 'ainvs': [0, 0, 0, -9353388, 11010151888], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 123840, 'degree': 5242880, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6267179897726529915938682662', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [947094050118111698, 20769216075], 'lmfdb_iso': '123840.e', 'lmfdb_label': '123840.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -259816, 50886320], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '12.12.0-4.c.1.1', '24.24.0-24.s.1.4', '344.24.0.?', '1032.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8287184353887439920584018403', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 13760], [5, 6, 24768], [43, 44, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0954533396453422908885001423', 'prec': 100}, 'szpiro_ratio': 5.096669799482609, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 808495
    {'Ciso': '123840ez', 'Clabel': '123840ez2', 'Cnumber': 2, 'abc_quality': 0.9525676775656369, 'absD': 3260145136803840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1032, 'ainvs': [0, 0, 0, -605388, 159132688], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 123840, 'degree': 2621440, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2801443994926803368852522054', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [513591322675396, 68238500625], 'lmfdb_iso': '123840.e', 'lmfdb_label': '123840.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -16816, 731120], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0-2.a.1.1', '24.24.0-24.b.1.2', '172.12.0.?', '344.24.0.?', '516.24.0.?', '1032.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6574368707774879841168036806', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 13760], [5, 6, 24768], [43, 44, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80664201441203174529798675833', 'prec': 103}, 'szpiro_ratio': 4.3963158204379, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 808494
    {'Ciso': '123840ez', 'Clabel': '123840ez1', 'Cnumber': 1, 'abc_quality': 0.924658878481594, 'absD': 48750854400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1032, 'ainvs': [0, 0, 0, -155388, -21047312], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 123840, 'degree': 1310720, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9335708092127076821766361447', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [34739908901584, 4081640625], 'lmfdb_iso': '123840.e', 'lmfdb_label': '123840.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4316, -98880], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '24.24.0-24.y.1.8', '258.6.0.?', '344.24.0.?', '516.12.0.?', '1032.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8287184353887439920584018403', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 387], [3, 8, 13760], [5, 6, 24768], [43, 44, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57559295422538330882557605121', 'prec': 103}, 'szpiro_ratio': 4.048407441762892, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 808496
    {'Ciso': '123840ez', 'Clabel': '123840ez3', 'Cnumber': 3, 'abc_quality': 0.9863049820937307, 'absD': 358154995689544089600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1032, 'ainvs': [0, 0, 0, 942612, 839633488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 123840, 'degree': 5242880, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6267179897726529915938682662', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [969360123836302, 3748293231075], 'lmfdb_iso': '123840.e', 'lmfdb_label': '123840.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 26184, 3895920], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '12.12.0-4.c.1.2', '24.24.0-24.y.1.2', '344.24.0.?', '1032.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3148737415549759682336073612', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 387], [3, 8, 13760], [5, 6, 24768], [43, 44, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0954533396453422908885001423', 'prec': 100}, 'szpiro_ratio': 4.657737026839033, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}