Elliptic curve isogeny class data - 87360.gt

Formats: - HTML - YAML - JSON - 2025-11-01T15:09:36.060781

• 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, 1, 0, 1, 0, 1, 0, 1, 0, -4, 0, 1, 0, 1, 0, 2, 0, -4, 0], 'aplist': [0, 1, 1, 1, -4, 1, 2, -4, 4, -2, -8, 6, 10, 4, 0, 6, -8, -10, 8, -16, 14, -16, -16, 18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 87360, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '87360.gt', 'trace_hash': 2174869972651035792}
• ec_padic •

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

  
  
  • id: 4517203
    {'lmfdb_iso': '87360.gt', 'p': 11, 'prec': 20, 'unit': 28246724292841031746, 'val': 1}
  • id: 4517204
    {'lmfdb_iso': '87360.gt', 'p': 17, 'prec': 20, 'unit': 61491959802929213377920, 'val': 1}
  • id: 4517205
    {'lmfdb_iso': '87360.gt', 'p': 19, 'prec': 20, 'unit': 348900709402670063929793, 'val': 1}
  • id: 4517208
    {'lmfdb_iso': '87360.gt', 'p': 23, 'prec': 20, 'unit': 68070630656037214513225142, 'val': 1}
  • id: 4517201
    {'lmfdb_iso': '87360.gt', 'p': 29, 'prec': 20, 'unit': 1462078345478715302666569791, 'val': 1}
  • id: 4517212
    {'lmfdb_iso': '87360.gt', 'p': 31, 'prec': 20, 'unit': 502533320238293854248278389, 'val': 2}
  • id: 4517197
    {'lmfdb_iso': '87360.gt', 'p': 37, 'prec': 20, 'unit': 534131543983160878199277962438, 'val': 1}
  • id: 4517199
    {'lmfdb_iso': '87360.gt', 'p': 41, 'prec': 20, 'unit': 3044575556955168809956097343001, 'val': 1}
  • id: 4517200
    {'lmfdb_iso': '87360.gt', 'p': 43, 'prec': 20, 'unit': 9331673892088300901269903139357, 'val': 1}
  • id: 4517206
    {'lmfdb_iso': '87360.gt', 'p': 53, 'prec': 20, 'unit': 5077038416617827082535689167225, 'val': 1}
  • id: 4517210
    {'lmfdb_iso': '87360.gt', 'p': 59, 'prec': 20, 'unit': 1419284698167634473055300407050584, 'val': 1}
  • id: 4517211
    {'lmfdb_iso': '87360.gt', 'p': 61, 'prec': 20, 'unit': 299132222108471061605738393581182, 'val': 1}
  • id: 4517196
    {'lmfdb_iso': '87360.gt', 'p': 67, 'prec': 20, 'unit': 6905885814106465351250368419277749, 'val': 1}
  • id: 4517198
    {'lmfdb_iso': '87360.gt', 'p': 71, 'prec': 20, 'unit': 107474799388119057948440650646175317, 'val': 1}
  • id: 4517207
    {'lmfdb_iso': '87360.gt', 'p': 73, 'prec': 20, 'unit': 183176209391182525576757792381764875, 'val': 1}
  • id: 4517202
    {'lmfdb_iso': '87360.gt', 'p': 79, 'prec': 20, 'unit': 852870275805907563925101226873283129, 'val': 1}
  • id: 4517195
    {'lmfdb_iso': '87360.gt', 'p': 83, 'prec': 20, 'unit': 1640824877689390198678863591734005578, 'val': 1}
  • id: 4517209
    {'lmfdb_iso': '87360.gt', 'p': 89, 'prec': 20, 'unit': 6324778405325124257716980240365424132, 'val': 1}
  • id: 4517194
    {'lmfdb_iso': '87360.gt', 'p': 97, 'prec': 20, 'unit': 11347096683065019195864182683923536966, '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: 575710
    {'Ciso': '87360dr', 'Clabel': '87360dr4', 'Cnumber': 4, 'abc_quality': 0.994037011939468, 'absD': 125783192371200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -5734625, -5287650177], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87360, 'degree': 1966080, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3135218923477418020734278236', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 175, 'isogeny_degrees': [1, 2, 4], 'jinv': [79560762543506753209, 479824800], 'lmfdb_iso': '87360.gt', 'lmfdb_label': '87360.gt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -89603, -10361043], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '104.24.0.?', '168.24.0.?', '2184.48.0.?'], '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': '11.612449219414179125241406487', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 21], [3, 4, 29120], [5, 6, 17472], [7, 8, 12480], [13, 14, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2738011215078238379475796414', 'prec': 100}, 'szpiro_ratio': 5.123990481584899, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 575708
    {'Ciso': '87360dr', 'Clabel': '87360dr2', 'Cnumber': 2, 'abc_quality': 0.95764778961932, 'absD': 12503891312640000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -358625, -82606977], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87360, 'degree': 983040, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9669483020677691473648117629', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 175, 'isogeny_degrees': [1, 2], 'jinv': [19458380202497209, 47698560000], 'lmfdb_iso': '87360.gt', 'lmfdb_label': '87360.gt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -5603, -163443], 'min_quad_twist_disc': 8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '104.24.0.?', '168.24.0.?', '1092.24.0.?', '2184.48.0.?'], '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': '5.8062246097070895626207032435', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 29120], [5, 6, 17472], [7, 8, 12480], [13, 14, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.92722753122785118323896358071', 'prec': 103}, 'szpiro_ratio': 4.3930931419873165, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 575709
    {'Ciso': '87360dr', 'Clabel': '87360dr3', 'Cnumber': 3, 'abc_quality': 0.9837367724122568, 'absD': 8284579430400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -225505, -144561025], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87360, 'degree': 1966080, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3135218923477418020734278237', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 175, 'isogeny_degrees': [1, 2, 4], 'jinv': [-4837870546133689, 31603162500000], 'lmfdb_iso': '87360.gt', 'lmfdb_label': '87360.gt3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3523, -283667], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '104.24.0.?', '168.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9031123048535447813103516217', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 13], [3, 4, 29120], [5, 6, 17472], [7, 8, 12480], [13, 14, 6720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2738011215078238379475796415', 'prec': 100}, 'szpiro_ratio': 4.491251584672357, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 575707
    {'Ciso': '87360dr', 'Clabel': '87360dr1', 'Cnumber': 1, 'abc_quality': 0.9797737929026421, 'absD': 1876041714892800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -30945, -228225], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87360, 'degree': 491520, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6203747117877964926561957022', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 175, 'isogeny_degrees': [1, 2, 4], 'jinv': [12501706118329, 7156531200], 'lmfdb_iso': '87360.gt', 'lmfdb_label': '87360.gt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483, -627], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '104.24.0.?', '168.24.0.?', '546.6.0.?', '1092.12.0.?', '2184.48.0.?'], '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': '11.612449219414179125241406487', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 273], [3, 4, 29120], [5, 6, 17472], [7, 8, 12480], [13, 14, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58065394094787852853034752001', 'prec': 103}, 'szpiro_ratio': 3.747083135867243, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}