Elliptic curve isogeny class data - 19110.bz

Formats: - HTML - YAML - JSON - 2025-10-12T08:40:55.496610

• 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, 1, -1, 1, 1, -1, 0, 1, 1, 1, -4, -1, 1, 0, -1, 1, 6, 1, -8, 1], 'aplist': [1, -1, 1, 0, -4, 1, 6, -8, 2, 2, 0, 2, -6, 0, -8, -12, 4, 10, 4, -6, -4, 12, 6, -18, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 19110, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '19110.bz', 'trace_hash': 1694308100006609669}
• ec_padic •

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

  
  
  • id: 883856
    {'lmfdb_iso': '19110.bz', 'p': 11, 'prec': 20, 'unit': 27296440888278438567, 'val': 1}
  • id: 883859
    {'lmfdb_iso': '19110.bz', 'p': 17, 'prec': 20, 'unit': 21944051541504964623011, 'val': 1}
  • id: 883850
    {'lmfdb_iso': '19110.bz', 'p': 19, 'prec': 20, 'unit': 739987339172551423281973, 'val': 1}
  • id: 883864
    {'lmfdb_iso': '19110.bz', 'p': 23, 'prec': 20, 'unit': 61751928432121612142054367, 'val': 1}
  • id: 883857
    {'lmfdb_iso': '19110.bz', 'p': 29, 'prec': 20, 'unit': 5657233395390052907331302893, 'val': 1}
  • id: 883853
    {'lmfdb_iso': '19110.bz', 'p': 37, 'prec': 20, 'unit': 329870372662286907903272908401, 'val': 1}
  • id: 883855
    {'lmfdb_iso': '19110.bz', 'p': 41, 'prec': 20, 'unit': 1004902688215932246188126535628, 'val': 1}
  • id: 883866
    {'lmfdb_iso': '19110.bz', 'p': 47, 'prec': 20, 'unit': 41644772943723685606628383387857, 'val': 1}
  • id: 883861
    {'lmfdb_iso': '19110.bz', 'p': 53, 'prec': 20, 'unit': 210498937899380438030206485129731, 'val': 1}
  • id: 883862
    {'lmfdb_iso': '19110.bz', 'p': 59, 'prec': 20, 'unit': 1447596862601273647499805271422778, 'val': 1}
  • id: 883867
    {'lmfdb_iso': '19110.bz', 'p': 61, 'prec': 20, 'unit': 5228791191723403366516368968977065, 'val': 1}
  • id: 883852
    {'lmfdb_iso': '19110.bz', 'p': 67, 'prec': 20, 'unit': 8168557584976568188275651053026765, 'val': 1}
  • id: 883854
    {'lmfdb_iso': '19110.bz', 'p': 71, 'prec': 20, 'unit': 64583616832626338954941882453046032, 'val': 1}
  • id: 883863
    {'lmfdb_iso': '19110.bz', 'p': 73, 'prec': 20, 'unit': 210053568228559924023311853951718107, 'val': 1}
  • id: 883858
    {'lmfdb_iso': '19110.bz', 'p': 79, 'prec': 20, 'unit': 715059898901202169602549730089089974, 'val': 1}
  • id: 883860
    {'lmfdb_iso': '19110.bz', 'p': 83, 'prec': 20, 'unit': 2060704428206942644056252899562883139, 'val': 1}
  • id: 883865
    {'lmfdb_iso': '19110.bz', 'p': 89, 'prec': 20, 'unit': 6250293321257631716649429268172529036, 'val': 1}
  • id: 883851
    {'lmfdb_iso': '19110.bz', 'p': 97, 'prec': 20, 'unit': 8284256979431403487416465196323533120, '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: 126620
    {'Ciso': '19110ch', 'Clabel': '19110ch2', 'Cnumber': 2, 'abc_quality': 1.0821472864967452, 'absD': 260851500000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3640, 'ainvs': [1, 1, 1, -10515, 409905], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19110, 'degree': 46080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0773236186652912073886180982', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2], 'jinv': [374852148636727, 760500000], 'lmfdb_iso': '19110.bz', 'lmfdb_label': '19110.bz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10515, 409905], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.a.1', '520.6.0.?', '1820.6.0.?', '3640.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 16, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.11581151414252129446643061333', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 4, 1274], [5, 6, 1911], [7, 20, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.59084608140146288111227991234', 'prec': 103}, 'szpiro_ratio': 3.996288797905164, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 126619
    {'Ciso': '19110ch', 'Clabel': '19110ch1', 'Cnumber': 1, 'abc_quality': 1.0865252598885793, 'absD': 46230912000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3640, 'ainvs': [1, 1, 1, -435, 10737], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19110, 'degree': 23040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.73075002838531855268000203750', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2], 'jinv': [-26543596087, 134784000], 'lmfdb_iso': '19110.bz', 'lmfdb_label': '19110.bz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -435, 10737], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.d.1', '520.6.0.?', '910.6.0.?', '3640.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 15, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.23162302828504258893286122667', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 455], [3, 4, 1274], [5, 6, 1911], [7, 20, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24427249112149022640366385164', 'prec': 103}, 'szpiro_ratio': 3.2582338234892965, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}