Elliptic curve data - 23232.cv3

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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': '23232dm', 'Clabel': '23232dm1', 'Cnumber': 1, 'abc_quality': 0.9258126221887728, 'absD': 551712055099392, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, 1, 0, -42753, 3195135], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 23232, 'degree': 92160, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5792852887497686288963180002', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [18609625, 1188], 'lmfdb_iso': '23232.cv', 'lmfdb_label': '23232.cv3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6, 4], 'min_quad_twist_disc': 88, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '12.24.0-6.a.1.7', '24.48.0-24.bx.1.8', '66.24.0.b.1', '132.48.0.?', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 363], [3, 4, 7744], [11, 72, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65938311848933460726050197097', 'prec': 107}, 'szpiro_ratio': 4.337209815985304, '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, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, -4, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 1, 0, 2, 0, -4, 6, 4, -6, 6, -8, 10, -6, -8, 6, 0, 0, 8, -4, -6, -2, 14, 12, -6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 23232, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '23232.cv', 'trace_hash': 232943624112557522}
• 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': '0.042486428753239793020239205488', 'prec': 107}, 'conductor': 23232, 'gens': [], 'heights': [], 'lmfdb_label': '23232.cv3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.50982140912216054050115447727', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0589284547329632430069268636205732026', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[95, 0, 1]], 'xcoord_integral_points': [95]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '23232.cv3'}
• ec_torsion_growth •

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

  
  
  • id: 1176949
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '23232.cv3', 'torsion': [6]}
  • id: 1176948
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '23232.cv3', 'torsion': [2, 2]}
  • id: 1176950
    {'degree': 4, 'field': [2, 0, 1, -2, 1], 'lmfdb_label': '23232.cv3', 'torsion': [4]}
  • id: 1176951
    {'degree': 4, 'field': [16, 0, -14, 0, 1], 'lmfdb_label': '23232.cv3', 'torsion': [2, 6]}
  • id: 1176952
    {'degree': 6, 'field': [264, 0, 220, 0, 22, 0, 1], 'lmfdb_label': '23232.cv3', 'torsion': [6]}
  • id: 1176954
    {'degree': 8, 'field': [-1284, 1236, 93, -186, 139, -8, -21, -2, 1], 'lmfdb_label': '23232.cv3', 'torsion': [2, 4]}
  • id: 1176955
    {'degree': 8, 'field': [3, -6, 23, -30, 24, -14, 5, -2, 1], 'lmfdb_label': '23232.cv3', 'torsion': [12]}
  • id: 1176953
    {'degree': 8, 'field': [256, 128, 16, 32, 42, -8, 1, -2, 1], 'lmfdb_label': '23232.cv3', 'torsion': [2, 4]}
  • id: 1176957
    {'degree': 12, 'field': [324, -864, 2352, -3276, 2422, -1044, 545, -222, 129, -60, 23, -6, 1], 'lmfdb_label': '23232.cv3', 'torsion': [2, 6]}
  • id: 1176956
    {'degree': 12, 'field': [123201, 2106, 5301, -14130, 5370, 1986, -563, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '23232.cv3', 'torsion': [3, 6]}
  • id: 1176959
    {'degree': 16, 'field': [9, -18, -33, 42, 277, -444, 294, -112, 62, -88, 62, -4, -27, 18, -1, -2, 1], 'lmfdb_label': '23232.cv3', 'torsion': [2, 12]}
  • id: 1176960
    {'degree': 16, 'field': [9, 0, -7272, 0, -1848, 0, 13080, 0, 7798, 0, -376, 0, -264, 0, 8, 0, 1], 'lmfdb_label': '23232.cv3', 'torsion': [2, 12]}
  • id: 1176958
    {'degree': 16, 'field': [8856, -62208, 194904, -347328, 393254, -304200, 167728, -54912, 13651, -3608, 4400, -2048, 402, -56, 28, -8, 1], 'lmfdb_label': '23232.cv3', 'torsion': [8]}
  • id: 1176961
    {'degree': 18, 'field': [-417444192, 0, 341545248, 0, -107811000, 0, 21191940, 0, -2718144, 0, 270072, 0, -26290, 0, 1848, 0, -66, 0, 1], 'lmfdb_label': '23232.cv3', '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: 531726
    {'conductor': 23232, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '23232.cv3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 531727
    {'conductor': 23232, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '23232.cv3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 531728
    {'conductor': 23232, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '23232.cv3', 'prime': 11, 'reduction_type': 0, '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: 1819278
    {'adelic_gens': [[50, 11, 165, 244], [131, 252, 258, 191], [253, 12, 252, 13], [134, 261, 219, 8], [1, 0, 12, 1], [11, 2, 214, 255], [249, 206, 34, 259], [1, 6, 6, 37], [1, 12, 0, 1]], 'adelic_image': '264.96.1.?', 'conductor': 23232, 'lmfdb_label': '23232.cv3', 'prime': 0}
  • id: 106875
    {'conductor': 23232, 'elladic_image': '8.6.0.4', 'lmfdb_label': '23232.cv3', 'modell_image': '2B', 'prime': 2}
  • id: 106876
    {'conductor': 23232, 'elladic_image': '3.4.0.1', 'lmfdb_label': '23232.cv3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 23232.cv does not appear in ec_padic