Elliptic curve data - 22218.z4

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '22218z', 'Clabel': '22218z2', 'Cnumber': 2, 'abc_quality': 1.0169154011150379, 'absD': 9400871095056, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1288, 'ainvs': [1, 1, 1, -44447, -3622219], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 22218, 'degree': 90112, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4102747111023226995362314096', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2, 4], 'jinv': [65597103937, 63504], 'lmfdb_iso': '22218.z', 'lmfdb_label': '22218.z4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -84, 261], 'min_quad_twist_disc': -23, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '28.24.0.c.1', '56.96.1.by.1', '92.24.0.?', '184.96.0.?', '644.48.0.?', '1288.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15747239686225214586714500630', 'prec': 107}, 'szpiro_ratio': 4.3681942635232875, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 1, 2, -1, 1, 1, 1, 2, 4, -1, 6, 1, -2, 1, -2, 1, 4, 2], 'aplist': [1, -1, 2, 1, 4, 6, -2, 4, 0, -2, 0, 10, -6, 4, 0, -6, 4, -6, -4, 8, 10, 0, 4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 22218, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '22218.z', 'trace_hash': 1774799828656176373}
• 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': '0.059573202875305612834108243089', 'prec': 107}, 'conductor': 22218, 'gens': [], 'heights': [], 'lmfdb_label': '22218.z4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32882447257582349057729236399', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2611915612131758492366778238496971294', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-125, 62, 1], [243, -122, 1]], 'xcoord_integral_points': [-125, 243]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [0, 0], '7': [1, 0], '23': 'a'}, 'iwp0': 3, 'lmfdb_label': '22218.z4'}
• ec_torsion_growth •

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

  
  
  • id: 1129613
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 4]}
  • id: 1129615
    {'degree': 4, 'field': [16, 0, -15, 0, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 4]}
  • id: 1129616
    {'degree': 4, 'field': [62, -8, 9, -2, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 8]}
  • id: 1129614
    {'degree': 4, 'field': [602, 42, -41, -2, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 4]}
  • id: 1129618
    {'degree': 8, 'field': [-152, 1768, -1618, -278, 85, 62, -16, -4, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 8]}
  • id: 1129619
    {'degree': 8, 'field': [100, 0, 908, 0, 341, 0, 38, 0, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 8]}
  • id: 1129617
    {'degree': 8, 'field': [3152, 952, -790, -310, 121, 38, -8, -4, 1], 'lmfdb_label': '22218.z4', 'torsion': [4, 4]}
  • id: 1129620
    {'degree': 8, 'field': [400071, -291858, 35000, 6372, -660, -50, -12, 0, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 6]}
  • id: 1129625
    {'degree': 16, 'field': [1373584, 0, 1223488, 0, 941692, 0, 370695, 0, 79314, 0, 10623, 0, 925, 0, 46, 0, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 12]}
  • id: 1129623
    {'degree': 16, 'field': [1611936, 2625408, 1814328, -1221432, -769412, 599752, 41902, -165846, 28461, 24554, -6672, -2462, 774, 126, -38, -4, 1], 'lmfdb_label': '22218.z4', 'torsion': [4, 8]}
  • id: 1129622
    {'degree': 16, 'field': [1742400, 1848000, -1193648, -862944, 1009858, 306252, -349474, -50712, 75065, 2016, -9982, 120, 872, -12, -44, 0, 1], 'lmfdb_label': '22218.z4', 'torsion': [4, 8]}
  • id: 1129624
    {'degree': 16, 'field': [3704796, 10960560, 10908552, 7030752, 5071672, 1725448, 1096076, 211200, 136389, 11744, 10472, -208, 578, -40, 36, 0, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 16]}
  • id: 1129621
    {'degree': 16, 'field': [557988928, -144512256, 201320000, -96384512, 74172960, -25832256, 12973368, -3453632, 1380321, -276924, 83800, -11916, 2894, -308, 64, -4, 1], 'lmfdb_label': '22218.z4', 'torsion': [2, 8]}
• 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: 507554
    {'conductor': 22218, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '22218.z4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 507555
    {'conductor': 22218, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '22218.z4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 507556
    {'conductor': 22218, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '22218.z4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 507557
    {'conductor': 22218, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '22218.z4', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1812657
    {'adelic_gens': [[231, 506, 1150, 1059], [1, 0, 8, 1], [1007, 0, 0, 1287], [1281, 8, 1280, 9], [369, 552, 184, 277], [5, 4, 1284, 1285], [1013, 1196, 1150, 1243], [1, 8, 0, 1]], 'adelic_image': '1288.192.1.?', 'conductor': 22218, 'lmfdb_label': '22218.z4', 'prime': 0}
  • id: 102868
    {'conductor': 22218, 'elladic_image': '8.48.0.97', 'lmfdb_label': '22218.z4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 22218.z does not appear in ec_padic