Elliptic curve isogeny class data - 1850.f

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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, -1, 2, 1, 0, -2, -2, -1, 1, 0, 0, 2, -2, 2, 0, 1, -6, -1, 2, 0], 'aplist': [-1, 2, 0, -2, 0, -2, -6, 2, 0, 6, -10, -1, -6, 4, 6, -6, -6, -10, -2, 0, -2, -10, 6, -6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 1850, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '1850.f', 'trace_hash': 2255448388824088162}
• ec_padic •

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

  
  
  • id: 52376
    {'lmfdb_iso': '1850.f', 'p': 7, 'prec': 20, 'unit': 26127959390367, 'val': 1}
  • id: 52380
    {'lmfdb_iso': '1850.f', 'p': 13, 'prec': 20, 'unit': 354232946189667130672, 'val': 1}
  • id: 52382
    {'lmfdb_iso': '1850.f', 'p': 17, 'prec': 20, 'unit': 229959766318432083246203, 'val': 1}
  • id: 52383
    {'lmfdb_iso': '1850.f', 'p': 19, 'prec': 20, 'unit': 1504871995131834117574385, 'val': 1}
  • id: 52379
    {'lmfdb_iso': '1850.f', 'p': 29, 'prec': 20, 'unit': 1050510846142134188721841615, 'val': 1}
  • id: 52390
    {'lmfdb_iso': '1850.f', 'p': 31, 'prec': 20, 'unit': 5082711706653986152185860224, 'val': 1}
  • id: 52377
    {'lmfdb_iso': '1850.f', 'p': 41, 'prec': 20, 'unit': 1017949464295278945240286852714, 'val': 1}
  • id: 52378
    {'lmfdb_iso': '1850.f', 'p': 43, 'prec': 20, 'unit': 1010938865770283770811009044707, 'val': 1}
  • id: 52388
    {'lmfdb_iso': '1850.f', 'p': 47, 'prec': 20, 'unit': 26817983147104152425871230618790, 'val': 1}
  • id: 52384
    {'lmfdb_iso': '1850.f', 'p': 53, 'prec': 20, 'unit': 123849807162846309170476893149078, 'val': 1}
  • id: 52385
    {'lmfdb_iso': '1850.f', 'p': 59, 'prec': 20, 'unit': 999162640225868891189170982715169, 'val': 1}
  • id: 52389
    {'lmfdb_iso': '1850.f', 'p': 61, 'prec': 20, 'unit': 5278740791559841644200650539709315, 'val': 1}
  • id: 52375
    {'lmfdb_iso': '1850.f', 'p': 67, 'prec': 20, 'unit': 41170290726442410935895334870558565, 'val': 1}
  • id: 52386
    {'lmfdb_iso': '1850.f', 'p': 73, 'prec': 20, 'unit': 236876755296094876355159305224564869, 'val': 1}
  • id: 52381
    {'lmfdb_iso': '1850.f', 'p': 79, 'prec': 20, 'unit': 1105304350802676328211720149578427205, 'val': 1}
  • id: 52374
    {'lmfdb_iso': '1850.f', 'p': 83, 'prec': 20, 'unit': 590365089530860870485370508831842089, 'val': 1}
  • id: 52387
    {'lmfdb_iso': '1850.f', 'p': 89, 'prec': 20, 'unit': 4671876592493747424255396344718836488, 'val': 1}
  • id: 52373
    {'lmfdb_iso': '1850.f', 'p': 97, 'prec': 20, 'unit': 50288727191274122668552481476945074770, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 10364
    {'Ciso': '1850a', 'Clabel': '1850a3', 'Cnumber': 3, 'abc_quality': 0.9792442637089362, 'absD': 63316250000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 1, 0, -131875, -18487875], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1850, 'degree': 6912, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4482267080370013087843807732', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16232905099479601, 4052240], 'lmfdb_iso': '1850.f', 'lmfdb_label': '1850.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5275, -147903], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '15.8.0-3.a.1.1', '24.48.0.br.2', '30.24.0-6.a.1.1', '40.12.0-4.b.1.3', '60.48.0-12.f.1.3', '120.96.0.?', '222.24.0.?', '296.12.0.?', '370.6.0.?', '444.48.0.?', '740.24.0.?', '888.96.0.?', '1110.48.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.279967122536020899758193477', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 925], [3, 2, 50], [5, 18, 74], [37, 38, 50]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64350775181995112148400110659', 'prec': 103}, 'szpiro_ratio': 6.245223077295865, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10365
    {'Ciso': '1850a', 'Clabel': '1850a4', 'Cnumber': 4, 'abc_quality': 0.979554104171432, 'absD': 4008947514062500, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 1, 0, -131375, -18634375], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1850, 'degree': 13824, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7948002983169739634929968339', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-16048965315233521, 256572640900], 'lmfdb_iso': '1850.f', 'lmfdb_label': '1850.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5255, -149075], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.48.0.b.2', '15.8.0-3.a.1.1', '20.12.0-4.a.1.1', '30.24.0-6.a.1.1', '60.96.0-12.b.2.8', '148.12.0.?', '444.96.0.?', '740.24.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6399835612680104498790967383', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 2, 50], [5, 18, 74], [37, 38, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99008134209992377619261716729', 'prec': 103}, 'szpiro_ratio': 6.247330581413681, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10362
    {'Ciso': '1850a', 'Clabel': '1850a1', 'Cnumber': 1, 'abc_quality': 0.9139199638567892, 'absD': 296000000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 1, 0, -1875, -17875], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1850, 'degree': 2304, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89892056370294646308675815473', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [46694890801, 18944000], 'lmfdb_iso': '1850.f', 'lmfdb_label': '1850.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -75, -143], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '15.8.0-3.a.1.2', '24.48.0.br.1', '30.24.0-6.a.1.2', '40.12.0-4.b.1.3', '60.48.0-12.f.1.1', '120.96.0.?', '222.24.0.?', '296.12.0.?', '370.6.0.?', '444.48.0.?', '740.24.0.?', '888.96.0.?', '1110.48.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7599890408453402999193978255', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 925], [3, 2, 925], [5, 18, 74], [37, 38, 50]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.094201607485896275786378488117', 'prec': 107}, 'szpiro_ratio': 4.54922196495469, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 10363
    {'Ciso': '1850a', 'Clabel': '1850a2', 'Cnumber': 2, 'abc_quality': 0.9481798185675541, 'absD': 21390625000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 1, 0, 6125, -121875], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1850, 'degree': 4608, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2454941539829191177953742155', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1625964918479, 1369000000], 'lmfdb_iso': '1850.f', 'lmfdb_label': '1850.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 245, -975], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.48.0.b.1', '15.8.0-3.a.1.2', '20.12.0-4.a.1.1', '30.24.0-6.a.1.2', '60.96.0-12.b.1.6', '148.12.0.?', '444.96.0.?', '740.24.0.?', '1480.48.0.?', '2220.192.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8799945204226701499596989128', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 2, 925], [5, 18, 74], [37, 38, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44077519776586893049499454889', 'prec': 103}, 'szpiro_ratio': 5.021141391039098, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}