Elliptic curve data - 33282.t2

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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': '33282u', 'Clabel': '33282u1', 'Cnumber': 1, 'abc_quality': 0.9553401787052401, 'absD': 217120008356716176, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 516, 'ainvs': [1, -1, 1, 105046, 18163449], 'analytic_rank': 1, 'bad_primes': [2, 3, 43], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 33282, 'degree': 354816, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0115866579264946241334325616', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [751089429, 1272112], 'lmfdb_iso': '33282.t', 'lmfdb_label': '33282.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 57, -243], 'min_quad_twist_disc': -43, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.4', '129.8.0.?', '516.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1293421101641472619733395751', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5547], [3, 6, 3698], [43, 968, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14366647208731401045180000430', 'prec': 107}, 'szpiro_ratio': 4.50945040319617, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, 1, 1, 0, -3, 3, 0, -1, 1, 0, 1, 6, 0, 1, -3], 'aplist': [1, 0, -3, 1, 3, -1, 6, 1, 0, -3, -4, -2, 0, 0, 3, 0, 0, -14, -4, -6, -2, 14, -9, -18, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 33282, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '33282.t', 'trace_hash': 781077207780695292}
• 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': '0.017896084808294801152219741339', 'prec': 107}, 'conductor': 33282, 'gens': [[-761, 80635, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1293421101641472619733395751', 'prec': 100}], 'lmfdb_label': '33282.t2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21581871085842360092131260887', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7994610666802582786655747476756257711', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': 'a', '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '33282.t2'}
• ec_torsion_growth •

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

  
  
  • id: 1653464
    {'degree': 2, 'field': [11, -1, 1], 'lmfdb_label': '33282.t2', 'torsion': [3]}
  • id: 1653465
    {'degree': 3, 'field': [-9, 1, -1, 1], 'lmfdb_label': '33282.t2', 'torsion': [2]}
  • id: 1653467
    {'degree': 6, 'field': [-3000, -900, 210, -9, 39, -3, 1], 'lmfdb_label': '33282.t2', 'torsion': [3]}
  • id: 1653468
    {'degree': 6, 'field': [23, -32, 20, -10, 4, -2, 1], 'lmfdb_label': '33282.t2', 'torsion': [6]}
  • id: 1653466
    {'degree': 6, 'field': [144, 72, 114, 18, 7, -2, 1], 'lmfdb_label': '33282.t2', 'torsion': [2, 2]}
  • id: 1653469
    {'degree': 12, 'field': [-1241, 1436, -2152, 852, -497, 640, -224, 16, -23, 36, 8, -4, 1], 'lmfdb_label': '33282.t2', 'torsion': [4]}
  • id: 1653471
    {'degree': 12, 'field': [2601, 0, 2268, 0, 616, 0, -78, 0, 32, 0, -12, 0, 1], 'lmfdb_label': '33282.t2', 'torsion': [2, 6]}
  • id: 1653470
    {'degree': 12, 'field': [2979076, 0, 1189872, 0, 217500, 0, 23279, 0, 1515, 0, 57, 0, 1], 'lmfdb_label': '33282.t2', 'torsion': [3, 3]}
  • id: 1653473
    {'degree': 18, 'field': [-59216, 352944, -813720, 1168128, -1207092, 970692, -625390, 318012, -119214, 26762, 1146, -4230, 2089, -648, 183, -58, 21, -6, 1], 'lmfdb_label': '33282.t2', 'torsion': [6]}
  • id: 1653472
    {'degree': 18, 'field': [8939039561, 1424527461, -2091425610, -242760150, 229875753, -69798339, 13014141, 12690777, -993423, -654662, -12027, -171711, 64533, -7752, 2469, -522, 30, -6, 1], 'lmfdb_label': '33282.t2', 'torsion': [9]}
• 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: 778943
    {'conductor': 33282, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '33282.t2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 778944
    {'conductor': 33282, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '33282.t2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 778945
    {'conductor': 33282, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '33282.t2', 'prime': 43, '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: 1886284
    {'adelic_gens': [[4, 3, 9, 7], [83, 510, 249, 497], [1, 6, 0, 1], [3, 4, 8, 11], [474, 49, 175, 234], [511, 6, 510, 7], [259, 6, 261, 19], [1, 0, 6, 1]], 'adelic_image': '516.16.0.?', 'conductor': 33282, 'lmfdb_label': '33282.t2', 'prime': 0}
  • id: 148366
    {'conductor': 33282, 'elladic_image': '3.4.0.1', 'lmfdb_label': '33282.t2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1623580
    {'lmfdb_iso': '33282.t', 'p': 5, 'prec': 20, 'unit': 62829526629, 'val': 1}
  • id: 1623581
    {'lmfdb_iso': '33282.t', 'p': 7, 'prec': 20, 'unit': 49069336230982176, 'val': -1}
  • id: 1623584
    {'lmfdb_iso': '33282.t', 'p': 11, 'prec': 20, 'unit': 49854578876497173580, 'val': 1}
  • id: 1623586
    {'lmfdb_iso': '33282.t', 'p': 13, 'prec': 20, 'unit': 1145391198687347378934, 'val': 1}
  • id: 1623588
    {'lmfdb_iso': '33282.t', 'p': 17, 'prec': 20, 'unit': 220405839971365611608066, 'val': 1}
  • id: 1623589
    {'lmfdb_iso': '33282.t', 'p': 19, 'prec': 20, 'unit': 7627095124909282145299830, 'val': -1}
  • id: 1623585
    {'lmfdb_iso': '33282.t', 'p': 29, 'prec': 20, 'unit': 657549536745035647840587559, 'val': 1}
  • id: 1623582
    {'lmfdb_iso': '33282.t', 'p': 31, 'prec': 20, 'unit': 19909083554576603396012194469, 'val': 1}
  • id: 1623594
    {'lmfdb_iso': '33282.t', 'p': 37, 'prec': 20, 'unit': 419704573434990724435436094898, 'val': 1}
  • id: 1623587
    {'lmfdb_iso': '33282.t', 'p': 47, 'prec': 20, 'unit': 42257074780075944395329670225104, 'val': 1}
  • id: 1623593
    {'lmfdb_iso': '33282.t', 'p': 61, 'prec': 20, 'unit': 123958940746886690541229146114246, 'val': 2}
  • id: 1623579
    {'lmfdb_iso': '33282.t', 'p': 67, 'prec': 20, 'unit': 13911903715568054359562242033480789, 'val': 1}
  • id: 1623591
    {'lmfdb_iso': '33282.t', 'p': 71, 'prec': 20, 'unit': 23050740888867604193704987791635666, 'val': 1}
  • id: 1623583
    {'lmfdb_iso': '33282.t', 'p': 73, 'prec': 20, 'unit': 148597056592554669695521298166175616, 'val': 1}
  • id: 1623592
    {'lmfdb_iso': '33282.t', 'p': 79, 'prec': 20, 'unit': 225465559796528105011136332133817484, 'val': 1}
  • id: 1623578
    {'lmfdb_iso': '33282.t', 'p': 83, 'prec': 20, 'unit': 199887314221193020012497871030910006, 'val': 1}
  • id: 1623590
    {'lmfdb_iso': '33282.t', 'p': 89, 'prec': 20, 'unit': 10178683166006200125728245323244675548, 'val': 1}
  • id: 1623577
    {'lmfdb_iso': '33282.t', 'p': 97, 'prec': 20, 'unit': 8987260563402689580497306992157760998, 'val': 1}