Elliptic curve isogeny class data - 14112.by

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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, 2, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 2, 0, 4, 2, -6, -4, 0, -2, 4, -2, 2, -4, -8, -10, 4, -6, -4, -16, 6, -4, -12, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 14112, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '14112.by', 'trace_hash': 2138653521254163463}
• ec_padic •

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

  
  
  • id: 628567
    {'lmfdb_iso': '14112.by', 'p': 5, 'prec': 20, 'unit': 7515263264343, 'val': 1}
  • id: 628566
    {'lmfdb_iso': '14112.by', 'p': 11, 'prec': 20, 'unit': 57041993490622077577, 'val': 1}
  • id: 628573
    {'lmfdb_iso': '14112.by', 'p': 13, 'prec': 20, 'unit': 451469403035394024937, 'val': 1}
  • id: 628575
    {'lmfdb_iso': '14112.by', 'p': 17, 'prec': 20, 'unit': 146321577918388868517069, 'val': 1}
  • id: 628576
    {'lmfdb_iso': '14112.by', 'p': 19, 'prec': 20, 'unit': 937511296839297751963730, 'val': 1}
  • id: 628572
    {'lmfdb_iso': '14112.by', 'p': 29, 'prec': 20, 'unit': 5088593286682640091160066687, 'val': 1}
  • id: 628569
    {'lmfdb_iso': '14112.by', 'p': 31, 'prec': 20, 'unit': 11231696145886756046660512312, 'val': 1}
  • id: 628584
    {'lmfdb_iso': '14112.by', 'p': 37, 'prec': 20, 'unit': 521521930658077728482531164682, 'val': 1}
  • id: 628570
    {'lmfdb_iso': '14112.by', 'p': 41, 'prec': 20, 'unit': 1110718725072728615112236881995, 'val': 1}
  • id: 628571
    {'lmfdb_iso': '14112.by', 'p': 43, 'prec': 20, 'unit': 2662531827229241269421956307563, 'val': 1}
  • id: 628582
    {'lmfdb_iso': '14112.by', 'p': 47, 'prec': 20, 'unit': 42583142764344186011349376338294, 'val': 1}
  • id: 628577
    {'lmfdb_iso': '14112.by', 'p': 53, 'prec': 20, 'unit': 471812328805523542950179032121346, 'val': 1}
  • id: 628578
    {'lmfdb_iso': '14112.by', 'p': 59, 'prec': 20, 'unit': 2715844692554441657769485377451389, 'val': 1}
  • id: 628583
    {'lmfdb_iso': '14112.by', 'p': 61, 'prec': 20, 'unit': 2432599290405305216239280147098882, 'val': 1}
  • id: 628565
    {'lmfdb_iso': '14112.by', 'p': 67, 'prec': 20, 'unit': 5905604805617684514139007028923441, 'val': 1}
  • id: 628568
    {'lmfdb_iso': '14112.by', 'p': 71, 'prec': 20, 'unit': 29356951396500101167160451938128033, 'val': 1}
  • id: 628579
    {'lmfdb_iso': '14112.by', 'p': 73, 'prec': 20, 'unit': 88945648752224572582650227609271268, 'val': 1}
  • id: 628574
    {'lmfdb_iso': '14112.by', 'p': 79, 'prec': 20, 'unit': 935907784084298805653328104260810313, 'val': 1}
  • id: 628580
    {'lmfdb_iso': '14112.by', 'p': 83, 'prec': 20, 'unit': 2256640140594671461323842333393596891, 'val': 1}
  • id: 628581
    {'lmfdb_iso': '14112.by', 'p': 89, 'prec': 20, 'unit': 9901005874217943583841200532518247401, 'val': 1}
  • id: 628564
    {'lmfdb_iso': '14112.by', 'p': 97, 'prec': 20, 'unit': 43464207483111437471449977671272593155, '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: 92485
    {'Ciso': '14112v', 'Clabel': '14112v2', 'Cnumber': 2, 'abc_quality': 1.0374920117698965, 'absD': 131736761856, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -14259, -655130], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 14112, 'degree': 18432, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0960408483585453498646842284', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2, 4], 'jinv': [7301384, 3], 'lmfdb_iso': '14112.by', 'lmfdb_label': '14112.by1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -32, -60], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '24.24.0.bi.1', '28.12.0-4.c.1.2', '56.24.0-8.m.1.6', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6263668218374036925115510252', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 1568], [7, 26, 288]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94608075592312513044853885288', 'prec': 107}, 'szpiro_ratio': 4.218729310916463, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 92486
    {'Ciso': '14112v', 'Clabel': '14112v3', 'Cnumber': 3, 'abc_quality': 1.027047455683347, 'absD': 1053894094848, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -7644, 252448], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 14112, 'degree': 18432, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0960408483585453498646842284', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2, 4], 'jinv': [140608, 3], 'lmfdb_iso': '14112.by', 'lmfdb_label': '14112.by2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -17, 33], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0.h.1', '24.24.0.bk.1', '28.12.0-4.c.1.1', '56.24.0-8.m.1.5', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6565917054593509231278877563', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 1568], [7, 26, 288]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1193675510631114578028468832', 'prec': 103}, 'szpiro_ratio': 4.022973717651129, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 92484
    {'Ciso': '14112v', 'Clabel': '14112v1', 'Cnumber': 1, 'abc_quality': 1.0917548251330267, 'absD': 49401285696, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, -1029, -6860], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 14112, 'degree': 9216, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74946725807857269515606816766', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2], 'jinv': [21952, 9], 'lmfdb_iso': '14112.by', 'lmfdb_label': '14112.by3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2, 0], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0.a.1', '24.24.0.f.1', '28.12.0-2.a.1.1', '56.24.0-8.b.1.3', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3131834109187018462557755126', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 1568], [7, 26, 288]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1193675510631114578028468833', 'prec': 103}, 'szpiro_ratio': 3.3933411966962783, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 92487
    {'Ciso': '14112v', 'Clabel': '14112v4', 'Cnumber': 4, 'abc_quality': 1.059886267720316, 'absD': 3556892570112, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 0, 0, 3381, -50078], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 14112, 'degree': 18432, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0960408483585453498646842284', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2, 4], 'jinv': [97336, 81], 'lmfdb_iso': '14112.by', 'lmfdb_label': '14112.by4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 8, -8], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '24.24.0.n.1', '56.24.0-8.d.1.3', '84.12.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6263668218374036925115510252', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 1568], [7, 26, 288]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94608075592312513044853885288', 'prec': 107}, 'szpiro_ratio': 3.7668455484388645, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}