Elliptic curve isogeny class data - 87360.l

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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, -1, 0, -1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 2, 0, 4, 0], 'aplist': [0, -1, -1, -1, 0, -1, 2, 4, -8, 2, 8, 2, 6, 4, -8, -10, 12, -10, 12, 0, 2, -4, -16, 6, -14], '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.l', 'trace_hash': 1806083348491439025}
• ec_padic •

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

  
  
  • id: 4516266
    {'lmfdb_iso': '87360.l', 'p': 17, 'prec': 20, 'unit': 187437494919439210865356, 'val': 1}
  • id: 4516258
    {'lmfdb_iso': '87360.l', 'p': 19, 'prec': 20, 'unit': 834503255617554747178049, 'val': 1}
  • id: 4516271
    {'lmfdb_iso': '87360.l', 'p': 23, 'prec': 20, 'unit': 1693573123417494105555713, 'val': 2}
  • id: 4516264
    {'lmfdb_iso': '87360.l', 'p': 29, 'prec': 20, 'unit': 4216253313856834872526729000, 'val': 1}
  • id: 4516275
    {'lmfdb_iso': '87360.l', 'p': 31, 'prec': 20, 'unit': 17898552910246720453937518490, 'val': 1}
  • id: 4516261
    {'lmfdb_iso': '87360.l', 'p': 37, 'prec': 20, 'unit': 242662688284991146636424538215, 'val': 1}
  • id: 4516262
    {'lmfdb_iso': '87360.l', 'p': 41, 'prec': 20, 'unit': 2282634348861153688988996828253, 'val': 1}
  • id: 4516263
    {'lmfdb_iso': '87360.l', 'p': 43, 'prec': 20, 'unit': 9655822373756429558968827684769, 'val': 1}
  • id: 4516273
    {'lmfdb_iso': '87360.l', 'p': 47, 'prec': 20, 'unit': 21496735688236232766001809168041, 'val': 1}
  • id: 4516268
    {'lmfdb_iso': '87360.l', 'p': 53, 'prec': 20, 'unit': 553183942592984953885784472865117, 'val': 1}
  • id: 4516269
    {'lmfdb_iso': '87360.l', 'p': 59, 'prec': 20, 'unit': 1958915412044156615292322943567816, 'val': 1}
  • id: 4516274
    {'lmfdb_iso': '87360.l', 'p': 61, 'prec': 20, 'unit': 7366363324876182369619901579867759, 'val': 1}
  • id: 4516260
    {'lmfdb_iso': '87360.l', 'p': 67, 'prec': 20, 'unit': 15781196336123329660463894046705648, 'val': 1}
  • id: 4516270
    {'lmfdb_iso': '87360.l', 'p': 73, 'prec': 20, 'unit': 11677573438760846442327060201118441, 'val': 1}
  • id: 4516265
    {'lmfdb_iso': '87360.l', 'p': 79, 'prec': 20, 'unit': 390318686103857100857598578283549504, 'val': 1}
  • id: 4516267
    {'lmfdb_iso': '87360.l', 'p': 83, 'prec': 20, 'unit': 486117721820202859595979233072768771, 'val': 1}
  • id: 4516272
    {'lmfdb_iso': '87360.l', 'p': 89, 'prec': 20, 'unit': 6322741250599045365091927906527968618, 'val': 1}
  • id: 4516259
    {'lmfdb_iso': '87360.l', 'p': 97, 'prec': 20, 'unit': 49614545405937288157061341312976530475, '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: 575380
    {'Ciso': '87360a', 'Clabel': '87360a4', 'Cnumber': 4, 'abc_quality': 1.1651004461486194, 'absD': 97820835840, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, -1, 0, -19521, -1043199], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87360, 'degree': 163840, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1341008420809150553492518527', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [25107427013768, 2985255], 'lmfdb_iso': '87360.l', 'lmfdb_label': '87360.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4880, 132840], '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.1.2', '52.12.0-4.c.1.1', '104.24.0.?', '280.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8883066873205998475416061735', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 455], [3, 4, 29120], [5, 6, 17472], [7, 8, 12480], [13, 14, 6720]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26766686638098341857771170088', 'prec': 103}, 'szpiro_ratio': 3.6256058869666727, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 575378
    {'Ciso': '87360a', 'Clabel': '87360a2', 'Cnumber': 2, 'abc_quality': 0.8568854585132527, 'absD': 68685926400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, -1, 0, -1321, -13079], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87360, 'degree': 81920, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78752725180094240064063579202', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [62287505344, 16769025], 'lmfdb_iso': '87360.l', 'lmfdb_label': '87360.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -330, 1800], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '52.12.0-2.a.1.1', '104.24.0.?', '140.12.0.?', '280.24.0.?', '1820.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4441533436602999237708030868', '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': '0.094380071240997091223403670562', 'prec': 107}, 'szpiro_ratio': 2.915573649695146, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 575377
    {'Ciso': '87360a', 'Clabel': '87360a1', 'Cnumber': 1, 'abc_quality': 0.8601630451590633, 'absD': 575789760, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, -1, 0, -476, 3990], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87360, 'degree': 40960, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44095366152096974593201973129', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [186756901696, 8996715], 'lmfdb_iso': '87360.l', 'lmfdb_label': '87360.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1905, -30015], '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.1.4', '104.24.0.?', '140.12.0.?', '280.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8883066873205998475416061735', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 35], [3, 4, 29120], [5, 6, 17472], [7, 8, 12480], [13, 14, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.094380071240997091223403670561', 'prec': 107}, 'szpiro_ratio': 2.6465552021991674, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 575379
    {'Ciso': '87360a', 'Clabel': '87360a3', 'Cnumber': 3, 'abc_quality': 0.8809881101748627, 'absD': 5753180160000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, -1, 0, 3359, -88895], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 87360, 'degree': 163840, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1341008420809150553492518527', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [127871714872, 175573125], 'lmfdb_iso': '87360.l', 'lmfdb_label': '87360.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 840, 10692], '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.1.3', '52.12.0-4.c.1.2', '104.24.0.?', '280.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8883066873205998475416061735', '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': '0.26766686638098341857771170088', 'prec': 103}, 'szpiro_ratio': 3.189390023997129, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}