Elliptic curve data - 1850.f2

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• 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[]

  
  {'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]}
• 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_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.027609355490895749250736987635', 'prec': 107}, 'conductor': 1850, 'gens': [[1780, 72535, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.6399835612680104498790967383', 'prec': 100}], 'lmfdb_label': '1850.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12526464690428561898257961319', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8259621973928506635248894202597800645', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1675, -1675, 2]], 'xcoord_integral_points': [1780]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [1, 1], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1850.f2'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 93882
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '1850.f2', 'torsion': [2, 2]}
  • id: 93883
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '1850.f2', 'torsion': [6]}
  • id: 93884
    {'degree': 4, 'field': [-16, 0, -11, 0, 1], 'lmfdb_label': '1850.f2', 'torsion': [4]}
  • id: 93885
    {'degree': 4, 'field': [16, 0, -7, 0, 1], 'lmfdb_label': '1850.f2', 'torsion': [2, 6]}
  • id: 93886
    {'degree': 6, 'field': [1, -1, 0, -5, 0, -1, 1], 'lmfdb_label': '1850.f2', 'torsion': [6]}
  • id: 93887
    {'degree': 8, 'field': [1, 4, 9, 4, -4, -4, 9, -4, 1], 'lmfdb_label': '1850.f2', 'torsion': [2, 4]}
  • id: 93888
    {'degree': 8, 'field': [1156, -476, 98, -206, 93, 6, 8, -4, 1], 'lmfdb_label': '1850.f2', 'torsion': [2, 4]}
  • id: 93889
    {'degree': 8, 'field': [1156, 0, -815, 0, 227, 0, -25, 0, 1], 'lmfdb_label': '1850.f2', 'torsion': [12]}
  • id: 93890
    {'degree': 12, 'field': [1, -1, 1, 10, -5, -1, 26, -1, -5, 10, 1, -1, 1], 'lmfdb_label': '1850.f2', 'torsion': [3, 6]}
  • id: 93891
    {'degree': 12, 'field': [1, 0, 1, 0, -10, 0, 25, 0, -10, 0, 1, 0, 1], 'lmfdb_label': '1850.f2', 'torsion': [2, 6]}
  • id: 93894
    {'degree': 16, 'field': [1, 4, 7, 28, 69, 64, 86, 88, -82, -88, 86, -64, 69, -28, 7, -4, 1], 'lmfdb_label': '1850.f2', 'torsion': [2, 12]}
  • id: 93892
    {'degree': 16, 'field': [16, 0, -328, 0, 2017, 0, 3232, 0, 1608, 0, 86, 0, 88, 0, 4, 0, 1], 'lmfdb_label': '1850.f2', 'torsion': [4, 4]}
  • id: 93895
    {'degree': 16, 'field': [121, 0, 1444, 0, 5178, 0, 4876, 0, -2757, 0, 52, 0, 602, 0, -48, 0, 1], 'lmfdb_label': '1850.f2', 'torsion': [2, 12]}
  • id: 93893
    {'degree': 16, 'field': [4999696, 0, -5700232, 0, 2203440, 0, -76722, 0, -145511, 0, 30492, 0, -1590, 0, -58, 0, 1], 'lmfdb_label': '1850.f2', 'torsion': [8]}
  • id: 93896
    {'degree': 18, 'field': [73287103600, 8026664400, 25148055600, -1872378800, 4649535600, -1904247000, 714183980, -201239400, 56116980, -11911460, 2261430, -528120, 72329, -13578, 2439, -116, 66, 0, 1], 'lmfdb_label': '1850.f2', 'torsion': [18]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 29904
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1850.f2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 29905
    {'conductor': 1850, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '1850.f2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 29906
    {'conductor': 1850, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1850.f2', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1676078
    {'adelic_gens': [[3961, 6, 3132, 73], [13, 24, 3732, 3133], [2643, 4430, 676, 4339], [4417, 24, 4416, 25], [2221, 24, 0, 1], [1, 24, 0, 1], [15, 16, 314, 335], [1481, 24, 3700, 1], [1111, 24, 2781, 145], [1, 0, 24, 1]], 'adelic_image': '4440.384.9.?', 'conductor': 1850, 'lmfdb_label': '1850.f2', 'prime': 0}
  • id: 9055
    {'conductor': 1850, 'elladic_image': '4.6.0.5', 'lmfdb_label': '1850.f2', 'modell_image': '2B', 'prime': 2}
  • id: 9056
    {'conductor': 1850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '1850.f2', 'modell_image': '3B', 'prime': 3}
• 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}