Elliptic curve isogeny class data - 28224.v

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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, -3, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, 0, -3, 0, 3, -2, 6, -2, -6, -9, -7, 10, 0, 4, 12, 3, 3, 4, -2, 0, 2, 5, -9, -6, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 28224, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '28224.v', 'trace_hash': 1334407507498461461}
• ec_padic •

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

  
  
  • id: 1355636
    {'lmfdb_iso': '28224.v', 'p': 5, 'prec': 20, 'unit': 5460268366673, 'val': 1}
  • id: 1355635
    {'lmfdb_iso': '28224.v', 'p': 11, 'prec': 20, 'unit': 21629462263441007004, 'val': 1}
  • id: 1355641
    {'lmfdb_iso': '28224.v', 'p': 13, 'prec': 20, 'unit': 876613888139001610038, 'val': 1}
  • id: 1355643
    {'lmfdb_iso': '28224.v', 'p': 17, 'prec': 20, 'unit': 168185431351886848492869, 'val': 1}
  • id: 1355644
    {'lmfdb_iso': '28224.v', 'p': 19, 'prec': 20, 'unit': 809524758989952371205842, 'val': 1}
  • id: 1355647
    {'lmfdb_iso': '28224.v', 'p': 23, 'prec': 20, 'unit': 58263858253550788834260850, 'val': 1}
  • id: 1355640
    {'lmfdb_iso': '28224.v', 'p': 29, 'prec': 20, 'unit': 2099942324187244177377621802, 'val': 1}
  • id: 1355637
    {'lmfdb_iso': '28224.v', 'p': 31, 'prec': 20, 'unit': 6686152556778754937202501399, 'val': 1}
  • id: 1355652
    {'lmfdb_iso': '28224.v', 'p': 37, 'prec': 20, 'unit': 428068475868501907087094715895, 'val': 1}
  • id: 1355639
    {'lmfdb_iso': '28224.v', 'p': 43, 'prec': 20, 'unit': 3837585584212663725049501439677, 'val': 1}
  • id: 1355650
    {'lmfdb_iso': '28224.v', 'p': 47, 'prec': 20, 'unit': 7369105761509319582119926249817, 'val': 1}
  • id: 1355645
    {'lmfdb_iso': '28224.v', 'p': 53, 'prec': 20, 'unit': 74213890012386813372040939592056, 'val': 1}
  • id: 1355646
    {'lmfdb_iso': '28224.v', 'p': 59, 'prec': 20, 'unit': 585569307839174434602268870832064, 'val': 1}
  • id: 1355651
    {'lmfdb_iso': '28224.v', 'p': 61, 'prec': 20, 'unit': 7771367246913433660053254759079424, 'val': 1}
  • id: 1355634
    {'lmfdb_iso': '28224.v', 'p': 67, 'prec': 20, 'unit': 15315412999749947765544965877122607, 'val': 1}
  • id: 1355638
    {'lmfdb_iso': '28224.v', 'p': 73, 'prec': 20, 'unit': 212594671736943744356251326144334159, 'val': 1}
  • id: 1355642
    {'lmfdb_iso': '28224.v', 'p': 79, 'prec': 20, 'unit': 1098895231718436110484531319794294360, 'val': 1}
  • id: 1355648
    {'lmfdb_iso': '28224.v', 'p': 83, 'prec': 20, 'unit': 2232321527537912030945090067206534004, 'val': 1}
  • id: 1355649
    {'lmfdb_iso': '28224.v', 'p': 89, 'prec': 20, 'unit': 4689185280339472235416465837008886504, 'val': 1}
  • id: 1355633
    {'lmfdb_iso': '28224.v', 'p': 97, 'prec': 20, 'unit': 10874786324382334267608135950729027475, '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: 187353
    {'Ciso': '28224f', 'Clabel': '28224f2', 'Cnumber': 2, 'abc_quality': 1.032612370203439, 'absD': 237960855463919616, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 504, 'ainvs': [0, 0, 0, -2630124, -1641938256], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 28224, 'degree': 580608, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3597612118657237592958514077', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [-67645179, 8], 'lmfdb_iso': '28224.v', 'lmfdb_label': '28224.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -93, -323], 'min_quad_twist_disc': 168, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.1', '9.12.0.b.1', '18.24.0-9.b.1.1', '24.16.0-24.d.1.2', '63.36.0.i.2', '72.48.0.?', '126.72.0.?', '504.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9399865723450287478264516625', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 2, 3136], [7, 26, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80119220817881867677999919781', 'prec': 107}, 'szpiro_ratio': 5.4607557987574085, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 187352
    {'Ciso': '28224f', 'Clabel': '28224f1', 'Cnumber': 1, 'abc_quality': 1.3265882735428125, 'absD': 20890939299987456, 'adelic_genus': 2, 'adelic_index': 144, 'adelic_level': 504, 'ainvs': [0, 0, 0, 4116, -6953296], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 28224, 'degree': 193536, 'elladic_images': ['9.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8104550675316689135982287892', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3], 'jinv': [189, 512], 'lmfdb_iso': '28224.v', 'lmfdb_label': '28224.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 12, -1072], 'min_quad_twist_disc': 168, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '9.12.0.b.1', '18.24.0-9.b.1.2', '24.16.0-24.d.1.1', '63.36.0.i.1', '72.48.0.?', '126.72.0.?', '504.144.2.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9799955241150095826088172208', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 6, 3136], [7, 26, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80119220817881867677999919785', 'prec': 107}, 'szpiro_ratio': 4.394312530111343, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}