Elliptic curve data - 22022.e1

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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
  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[]

  
  {'Ciso': '22022i', 'Clabel': '22022i4', 'Cnumber': 4, 'abc_quality': 1.087583326356874, 'absD': 15861601248516479456, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 616, 'ainvs': [1, -1, 0, -7155176, -7362514208], 'analytic_rank': 0, 'bad_primes': [2, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22022, 'degree': 921600, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6489544035320722459934137022', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [22868021811807457713, 8953460393696], 'lmfdb_iso': '22022.e', 'lmfdb_label': '22022.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -59134, 5547693], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '56.24.0.bp.1', '88.24.0.?', '308.12.0.?', '616.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 847], [3, 2, 3146], [5, 2, 11011], [7, 8, 3146], [11, 62, 182], [13, 14, 1694]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4500067671328869739624419132', 'prec': 100}, 'szpiro_ratio': 5.896483843216226, '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, 0, 1, 2, 0, 1, -1, -3, -2, 0, 0, 1, -1, 0, 1, 6, 3, 0, 2], 'aplist': [-1, 0, 2, 1, 0, 1, 6, 0, 8, 10, -8, 6, 6, -4, -8, 6, 8, -10, 4, -8, -2, -8, 0, 18, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 22022, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '22022.e', 'trace_hash': 426932208541585359}
• 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': '0.0050020432147784273423761053146', 'prec': 110}, 'conductor': 22022, 'gens': [], 'heights': [], 'lmfdb_label': '22022.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.092311259480207239091598649866', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2154702275249737381983675967833251314', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-6269, 6269, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [2, 2, 0], '7': [1, 0], '11': 'a', '13': [7, 0]}, 'iwp0': 5, 'lmfdb_label': '22022.e1'}
• ec_torsion_growth •

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

  
  
  • id: 1117587
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [2, 2]}
  • id: 1117589
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [4]}
  • id: 1117588
    {'degree': 2, 'field': [77, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [4]}
  • id: 1117590
    {'degree': 4, 'field': [81, 0, 4, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [2, 4]}
  • id: 1117591
    {'degree': 8, 'field': [-4212, 3024, -88, -224, 304, -56, -36, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [2, 4]}
  • id: 1117594
    {'degree': 8, 'field': [42, -465, 492, -351, -27, -21, -9, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [6]}
  • id: 1117593
    {'degree': 8, 'field': [1871, 84, 6, -176, 79, 8, 2, -4, 1], 'lmfdb_label': '22022.e1', 'torsion': [8]}
  • id: 1117592
    {'degree': 8, 'field': [2809, 0, 381, 0, 52, 0, 13, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [8]}
  • id: 1117598
    {'degree': 16, 'field': [-1026302186, 1782688908, 66726725, -147941820, 174745252, -6004638, -37701337, 1145700, 3488653, -47574, -191821, 852, 6775, -42, -130, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [2, 6]}
  • id: 1117600
    {'degree': 16, 'field': [50176, 0, 4051328, 0, 1712512, 0, 499232, 0, 82672, 0, 9992, 0, 796, 0, 44, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [12]}
  • id: 1117596
    {'degree': 16, 'field': [160801, 0, -145016, 0, 85178, 0, -26220, 0, 5899, 0, -780, 0, 78, 0, -4, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [2, 8]}
  • id: 1117597
    {'degree': 16, 'field': [354425, -368840, 550072, -415640, 350776, -200744, 119104, -52016, 22617, -7208, 2260, -488, 142, -56, 28, -8, 1], 'lmfdb_label': '22022.e1', 'torsion': [2, 8]}
  • id: 1117595
    {'degree': 16, 'field': [1697809, 291872, 25088, 156240, -287150, -102984, -6272, -19040, 13271, 8456, 1568, 1120, 102, -56, 0, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [4, 4]}
  • id: 1117599
    {'degree': 16, 'field': [788191614, 59410638, 117898713, 536721876, 397557198, 146865708, 45058347, 8901792, 556899, -29496, -25725, -6480, -267, -42, -18, 0, 1], 'lmfdb_label': '22022.e1', 'torsion': [12]}
• 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: 501968
    {'conductor': 22022, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '22022.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 501969
    {'conductor': 22022, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '22022.e1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 501970
    {'conductor': 22022, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '22022.e1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 501971
    {'conductor': 22022, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '22022.e1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• ec_galrep •

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

  
  
  • id: 1811125
    {'adelic_gens': [[609, 8, 608, 9], [232, 99, 473, 166], [12, 561, 55, 342], [559, 0, 0, 615], [1, 0, 8, 1], [584, 561, 385, 320], [7, 6, 610, 611], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '616.48.0.?', 'conductor': 22022, 'lmfdb_label': '22022.e1', 'prime': 0}
  • id: 101703
    {'conductor': 22022, 'elladic_image': '8.12.0.9', 'lmfdb_label': '22022.e1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 22022.e does not appear in ec_padic