Elliptic curve data - 357390.q3

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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': '357390q', 'Clabel': '357390q1', 'Cnumber': 1, 'abc_quality': 0.9807668490730947, 'absD': 11743981527107174400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5016, 'ainvs': [1, -1, 0, -630915, -99944875], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 357390, 'degree': 8847360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3559413535501402340898182007', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [809818183161, 342425600], 'lmfdb_iso': '357390.q', 'lmfdb_label': '357390.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -194, -492], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '88.12.0.?', '152.12.0.?', '264.24.0.?', '418.6.0.?', '456.24.0.?', '836.12.0.?', '1672.24.0.?', '2508.24.0.?', '5016.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33441571963286515838768186629', 'prec': 103}, 'szpiro_ratio': 4.041610147092848, '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, -1, 0, 0, -1, 0, 1, 1, 0, -2, 0, 0, 1, 6, 0, 0, -1], 'aplist': [-1, 0, -1, 0, 1, -2, 6, 0, -8, 2, 4, 10, -2, -12, 0, 6, 0, -2, -8, -12, 2, 0, 4, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 357390, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '357390.q', 'trace_hash': 2093898392216968709}
• 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': '0.0089878401728393220966293807286', 'prec': 110}, 'conductor': 357390, 'gens': [], 'heights': [], 'lmfdb_label': '357390.q3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17593038210324599399482391684', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4074430568259679519585913347313963980', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-698, 349, 1]], 'xcoord_integral_points': [-698]}
• lmfdb_label 357390.q3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14889763
    {'degree': 2, 'field': [-52, -1, 1], 'lmfdb_label': '357390.q3', 'torsion': [2, 2]}
  • id: 14889764
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '357390.q3', 'torsion': [4]}
  • id: 14889765
    {'degree': 2, 'field': [157, -1, 1], 'lmfdb_label': '357390.q3', 'torsion': [4]}
  • id: 14889766
    {'degree': 4, 'field': [2704, 52, 53, -1, 1], 'lmfdb_label': '357390.q3', 'torsion': [2, 4]}
  • id: 14889770
    {'degree': 8, 'field': [-1869120, -392832, 68112, 11520, 480, -24, -48, 0, 1], 'lmfdb_label': '357390.q3', 'torsion': [6]}
  • id: 14889768
    {'degree': 8, 'field': [289, 221, 203, 8, 0, -24, 3, -1, 1], 'lmfdb_label': '357390.q3', 'torsion': [8]}
  • id: 14889769
    {'degree': 8, 'field': [9440161, 103278, -90604, -25186, 12189, 482, -156, -4, 1], 'lmfdb_label': '357390.q3', 'torsion': [8]}
  • id: 14889767
    {'degree': 8, 'field': [21674464, -17661504, 6653608, -1175272, 69818, 4798, -585, -2, 1], 'lmfdb_label': '357390.q3', 'torsion': [2, 4]}
  • id: 14889774
    {'degree': 16, 'field': [-205772083200, 318796761600, -113052783312, 972650304, -853038216, 2039565456, 184268160, -145249290, 2042787, -2021847, 375147, 14154, -4818, 1104, -27, -3, 1], 'lmfdb_label': '357390.q3', 'torsion': [2, 6]}
  • id: 14889773
    {'degree': 16, 'field': [2166784, 706560, 1076800, -546848, 118657, -212388, 113886, -27716, 17332, -3718, -722, 276, -118, 52, -4, -2, 1], 'lmfdb_label': '357390.q3', 'torsion': [2, 8]}
  • id: 14889775
    {'degree': 16, 'field': [92160000, 46080000, -96768000, 83865600, 152755200, -22602240, -12024576, -6490368, 1720128, 75936, 111504, -11040, 1368, -408, 48, 0, 1], 'lmfdb_label': '357390.q3', 'torsion': [12]}
  • id: 14889772
    {'degree': 16, 'field': [1016096256256, 0, 141480085680, 0, 12640389977, 0, 690581425, 0, 27682518, 0, 734725, 0, 14022, 0, 145, 0, 1], 'lmfdb_label': '357390.q3', 'torsion': [2, 8]}
  • id: 14889776
    {'degree': 16, 'field': [1256370506752, -108192867840, 74231112784, 23906046768, 18124073608, 5307981288, 1811385388, 399773298, 83156875, 11782581, 1696027, 155262, 15466, 708, 61, -3, 1], 'lmfdb_label': '357390.q3', 'torsion': [12]}
  • id: 14889771
    {'degree': 16, 'field': [653473922154496, 0, -38867853578240, 0, 357179748257, 0, -86861708895, 0, 4946759858, 0, -40925295, 0, 254162, 0, -575, 0, 1], 'lmfdb_label': '357390.q3', 'torsion': [4, 4]}
• 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: 8845515
    {'conductor': 357390, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '357390.q3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8845516
    {'conductor': 357390, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '357390.q3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8845517
    {'conductor': 357390, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '357390.q3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8845518
    {'conductor': 357390, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '357390.q3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8845519
    {'conductor': 357390, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '357390.q3', 'prime': 19, '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: 3893051
    {'adelic_gens': [[4393, 4392, 222, 4399], [5009, 8, 5008, 9], [3343, 0, 0, 5015], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [524, 1671, 3849, 3338], [3139, 3138, 2730, 1891], [7, 6, 5010, 5011], [1072, 3, 2133, 3346]], 'adelic_image': '5016.48.0.?', 'conductor': 357390, 'lmfdb_label': '357390.q3', 'prime': 0}
  • id: 1233574
    {'conductor': 357390, 'elladic_image': '4.6.0.1', 'lmfdb_label': '357390.q3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 357390.q does not appear in ec_padic