Elliptic curve isogeny class data - 116160.bj

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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, 0, 0, 1, 0, 0, 0, 6, 0, 1, 0, -2, 0, 4, 0], 'aplist': [0, -1, -1, 0, 0, 6, -2, 4, 0, -10, 0, -6, -2, -4, 8, 10, -4, -2, -4, 8, -2, -8, 12, -6, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 116160, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '116160.bj', 'trace_hash': 1431483813936248052}
• ec_padic •

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

  
  
  • id: 6066551
    {'lmfdb_iso': '116160.bj', 'p': 13, 'prec': 20, 'unit': 948882473839766876281, 'val': 1}
  • id: 6066553
    {'lmfdb_iso': '116160.bj', 'p': 17, 'prec': 20, 'unit': 20090218217931097115932, 'val': 1}
  • id: 6066554
    {'lmfdb_iso': '116160.bj', 'p': 19, 'prec': 20, 'unit': 890647152673464043922381, 'val': 1}
  • id: 6066550
    {'lmfdb_iso': '116160.bj', 'p': 29, 'prec': 20, 'unit': 4554020575683923344965291013, 'val': 1}
  • id: 6066546
    {'lmfdb_iso': '116160.bj', 'p': 37, 'prec': 20, 'unit': 269115658708843065338653493612, 'val': 1}
  • id: 6066548
    {'lmfdb_iso': '116160.bj', 'p': 41, 'prec': 20, 'unit': 442207529529480693801981199567, 'val': 1}
  • id: 6066549
    {'lmfdb_iso': '116160.bj', 'p': 43, 'prec': 20, 'unit': 3875680339606933846197433806737, 'val': 1}
  • id: 6066559
    {'lmfdb_iso': '116160.bj', 'p': 47, 'prec': 20, 'unit': 33761022027103346118685127037600, 'val': 1}
  • id: 6066555
    {'lmfdb_iso': '116160.bj', 'p': 53, 'prec': 20, 'unit': 132769723747950843849979012763659, 'val': 1}
  • id: 6066556
    {'lmfdb_iso': '116160.bj', 'p': 59, 'prec': 20, 'unit': 3044213506012344274568260345189085, 'val': 1}
  • id: 6066560
    {'lmfdb_iso': '116160.bj', 'p': 61, 'prec': 20, 'unit': 76434093479006240526287993252964, 'val': 1}
  • id: 6066545
    {'lmfdb_iso': '116160.bj', 'p': 67, 'prec': 20, 'unit': 25508134326857900290323048332836430, 'val': 1}
  • id: 6066547
    {'lmfdb_iso': '116160.bj', 'p': 71, 'prec': 20, 'unit': 46569833547799140419661473321530126, 'val': 1}
  • id: 6066557
    {'lmfdb_iso': '116160.bj', 'p': 73, 'prec': 20, 'unit': 145653736359443476488309927605604640, 'val': 1}
  • id: 6066552
    {'lmfdb_iso': '116160.bj', 'p': 79, 'prec': 20, 'unit': 882412024497277547024774323154272203, 'val': 1}
  • id: 6066544
    {'lmfdb_iso': '116160.bj', 'p': 83, 'prec': 20, 'unit': 1482565608385902885720347663380518639, 'val': 1}
  • id: 6066558
    {'lmfdb_iso': '116160.bj', 'p': 89, 'prec': 20, 'unit': 9163631888488695819511594347890934715, 'val': 1}
  • id: 6066543
    {'lmfdb_iso': '116160.bj', 'p': 97, 'prec': 20, 'unit': 3547067845031560721463528055657221080, '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: 759898
    {'Ciso': '116160fc', 'Clabel': '116160fc6', 'Cnumber': 6, 'abc_quality': 1.047398607062714, 'absD': 5818838081126400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, -1324882401, -18561102495615], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 116160, 'degree': 35389440, 'elladic_images': ['8.24.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7004280308120334869553764440', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [553808571467029327441, 12529687500], 'lmfdb_iso': '116160.bj', 'lmfdb_label': '116160.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -171085, -27308713], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.8', '24.48.0-24.by.1.16', '44.12.0.h.1', '80.48.0.?', '88.48.0.?', '240.96.0.?', '264.96.0.?', '880.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.710170511185607097091641183', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 38720], [5, 6, 23232], [11, 72, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4617596235729302507985564728', 'prec': 100}, 'szpiro_ratio': 6.398794375683484, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 759896
    {'Ciso': '116160fc', 'Clabel': '116160fc4', 'Cnumber': 4, 'abc_quality': 1.0750149448569075, 'absD': 215026143209665478000640, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, -91572961, 336578381185], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 116160, 'degree': 17694720, 'elladic_images': ['16.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3538544405320608322467603833', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [182864522286982801, 463015182960], 'lmfdb_iso': '116160.bj', 'lmfdb_label': '116160.bj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -11825, 488927], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.3', '24.24.0.by.2', '40.24.0.cb.2', '48.48.0-24.by.2.13', '60.12.0.h.1', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '27.420341022371214194183282367', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1815], [3, 4, 38720], [5, 6, 23232], [11, 72, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1151860332929575960899404121', 'prec': 100}, 'szpiro_ratio': 5.7114910560945775, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 759895
    {'Ciso': '116160fc', 'Clabel': '116160fc3', 'Cnumber': 3, 'abc_quality': 1.0201673387474062, 'absD': 298632080464336650240000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -82899681, -289301115519], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 116160, 'degree': 17694720, 'elladic_images': ['8.24.0.19'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3538544405320608322467603833', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [135670761487282321, 643043610000], 'lmfdb_iso': '116160.bj', 'lmfdb_label': '116160.bj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10705, -429025], 'min_quad_twist_disc': 88, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.6', '24.48.0-24.h.1.16', '40.48.0-40.i.2.32', '44.24.0.c.1', '88.48.0.?', '120.96.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], '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': '27.420341022371214194183282367', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 38720], [5, 6, 23232], [11, 72, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1151860332929575960899404121', 'prec': 100}, 'szpiro_ratio': 5.6858954500956, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 759897
    {'Ciso': '116160fc', 'Clabel': '116160fc5', 'Cnumber': 5, 'abc_quality': 1.0568860237866882, 'absD': 144277574067315939763814400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, -40307681, -586226984319], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 116160, 'degree': 35389440, 'elladic_images': ['8.24.0.98'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7004280308120334869553764440', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-15595206456730321, 310672490129100], 'lmfdb_iso': '116160.bj', 'lmfdb_label': '116160.bj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5205, -862425], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.4', '22.6.0.a.1', '40.48.0-40.cb.1.8', '44.12.0.g.1', '48.48.0-48.f.1.14', '88.48.0.?', '240.96.0.?', '440.96.0.?', '528.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '54.840682044742428388366564733', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 38720], [5, 6, 23232], [11, 72, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4617596235729302507985564728', 'prec': 100}, 'szpiro_ratio': 5.80628832131383, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 759894
    {'Ciso': '116160fc', 'Clabel': '116160fc2', 'Cnumber': 2, 'abc_quality': 1.0644140254035126, 'absD': 31723001798570960486400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -7937761, 816507265], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 116160, 'degree': 8847360, 'elladic_images': ['8.24.0.26'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0072808502520881775381443226', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [119102750067601, 68309049600], 'lmfdb_iso': '116160.bj', 'lmfdb_label': '116160.bj5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1025, 767], 'min_quad_twist_disc': 88, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.4', '24.48.0-24.h.2.11', '40.48.0-40.i.1.5', '60.24.0.c.1', '88.48.0.?', '120.96.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], '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': '13.710170511185607097091641183', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 38720], [5, 6, 23232], [11, 72, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76861244301298494138132435143', 'prec': 103}, 'szpiro_ratio': 5.082434380940201, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 759893
    {'Ciso': '116160fc', 'Clabel': '116160fc1', 'Cnumber': 1, 'abc_quality': 1.0470620627792697, 'absD': 497158767091164119040, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, -1, 0, 1974559, 100837761], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 116160, 'degree': 4423680, 'elladic_images': ['16.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6607072599721155228295282618', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1833318007919, 1070530560], 'lmfdb_iso': '116160.bj', 'lmfdb_label': '116160.bj6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 255, 255], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.3', '24.24.0-8.n.1.7', '30.6.0.a.1', '40.24.0-8.n.1.7', '48.48.0-48.f.2.13', '60.12.0.g.1', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '27.420341022371214194183282367', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1815], [3, 4, 38720], [5, 6, 23232], [11, 72, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42203885273301228667270829063', 'prec': 103}, 'szpiro_ratio': 4.724554079296867, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}