Elliptic curve data - 33462.u4

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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': '33462k', 'Clabel': '33462k1', 'Cnumber': 1, 'abc_quality': 0.9924779712445644, 'absD': 5871871070208, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1716, 'ainvs': [1, -1, 0, -10932, 426960], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 33462, 'degree': 73728, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2159601243390833285546607067', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1108717875, 45056], 'lmfdb_iso': '33462.u', 'lmfdb_label': '33462.u4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -582, -5068], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '39.8.0-3.a.1.1', '44.6.0.e.1', '66.24.0.b.1', '78.24.0.?', '132.48.1.?', '156.48.0.?', '858.48.0.?', '1716.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '4.2416540149287752349791053506', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5577], [3, 6, 1859], [11, 12, 3042], [13, 86, 198]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34116762655871246232089432331', 'prec': 107}, 'szpiro_ratio': 3.792606500284625, '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, 0, 0, -2, -1, 0, 0, 1, 0, 0, 2, 0, 1, -6, 0, -2, 0], 'aplist': [-1, 0, 0, -2, 1, 0, -6, -2, 0, -6, 4, -2, -6, -10, -12, -12, -12, -10, -8, -12, -14, 2, 12, 0, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 33462, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '33462.u', 'trace_hash': 480892535018820556}
• 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': '0.087867942178660090517524201701', 'prec': 107}, 'conductor': 33462, 'gens': [[49, 60, 1], [-56, 956, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5078253131140291136205428105', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.8622055710694923015792494286', 'prec': 100}], 'lmfdb_label': '33462.u4', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.75089702987480277256309614146', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3700908031330993261353361043306996950', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-120, 60, 1]], 'xcoord_integral_points': [-120, -56, 27, 49, 72, 387, 409, 487107]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [2, 2, 0], '7': [2, 0], '11': [3, 0], '13': 'a', '17': [2, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '33462.u4'}
• ec_torsion_growth •

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

  
  
  • id: 1661443
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '33462.u4', 'torsion': [2, 2]}
  • id: 1661444
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '33462.u4', 'torsion': [6]}
  • id: 1661446
    {'degree': 4, 'field': [25, 0, -23, 0, 1], 'lmfdb_label': '33462.u4', 'torsion': [2, 6]}
  • id: 1661445
    {'degree': 4, 'field': [393, -78, 57, 0, 1], 'lmfdb_label': '33462.u4', 'torsion': [4]}
  • id: 1661447
    {'degree': 6, 'field': [1440, -927, 297, -39, 33, -3, 1], 'lmfdb_label': '33462.u4', 'torsion': [6]}
  • id: 1661450
    {'degree': 8, 'field': [393, 258, 324, -258, 73, 2, 0, -4, 1], 'lmfdb_label': '33462.u4', 'torsion': [12]}
  • id: 1661448
    {'degree': 8, 'field': [27556, 0, 6556, 0, 981, 0, 55, 0, 1], 'lmfdb_label': '33462.u4', 'torsion': [2, 4]}
  • id: 1661449
    {'degree': 8, 'field': [40408, 5356, -4606, -1448, 595, 152, -46, -4, 1], 'lmfdb_label': '33462.u4', 'torsion': [2, 4]}
  • id: 1661451
    {'degree': 12, 'field': [41616, -52632, 56160, -11118, 2535, -3963, -35, 78, -30, 28, 15, -3, 1], 'lmfdb_label': '33462.u4', 'torsion': [3, 6]}
  • id: 1661452
    {'degree': 12, 'field': [495616, 0, 0, 0, 0, 0, -1265, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '33462.u4', 'torsion': [2, 6]}
  • id: 1661455
    {'degree': 16, 'field': [-2448, 16344, 11880, -89766, 128595, -98592, 21192, 25536, -22304, 5458, 3568, -1928, -164, 196, -8, -8, 1], 'lmfdb_label': '33462.u4', 'torsion': [2, 12]}
  • id: 1661454
    {'degree': 16, 'field': [35149, -31498, 80802, -85358, 15612, 16896, 16432, -11774, -4515, 2864, 1240, -630, -168, 98, 6, -8, 1], 'lmfdb_label': '33462.u4', 'torsion': [2, 12]}
  • id: 1661453
    {'degree': 16, 'field': [10206388, 9816384, 7528576, 6660976, 2904622, 1457064, 791704, 255558, 97099, 25688, 15364, -2276, 2261, -386, 106, -8, 1], 'lmfdb_label': '33462.u4', 'torsion': [8]}
  • id: 1661456
    {'degree': 18, 'field': [216129, 1635183, 4131351, 3444114, -1490508, -3086082, 209586, 1316994, -96747, -349421, 58323, 59682, -14988, -5268, 1500, 216, -63, -3, 1], 'lmfdb_label': '33462.u4', '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: 783405
    {'conductor': 33462, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '33462.u4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 783406
    {'conductor': 33462, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '33462.u4', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 783407
    {'conductor': 33462, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '33462.u4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 783408
    {'conductor': 33462, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '33462.u4', 'prime': 13, '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: 1887598
    {'adelic_gens': [[1705, 12, 1704, 13], [716, 143, 273, 1288], [1, 0, 12, 1], [1054, 663, 1365, 1444], [807, 1378, 494, 1457], [1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 1666, 1707], [791, 0, 0, 1715]], 'adelic_image': '1716.96.1.?', 'conductor': 33462, 'lmfdb_label': '33462.u4', 'prime': 0}
  • id: 149173
    {'conductor': 33462, 'elladic_image': '2.3.0.1', 'lmfdb_label': '33462.u4', 'modell_image': '2B', 'prime': 2}
  • id: 149174
    {'conductor': 33462, 'elladic_image': '3.4.0.1', 'lmfdb_label': '33462.u4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1633675
    {'lmfdb_iso': '33462.u', 'p': 7, 'prec': 20, 'unit': 7157239984036297, 'val': 2}
  • id: 1633680
    {'lmfdb_iso': '33462.u', 'p': 17, 'prec': 20, 'unit': 188110263027201076244488, 'val': 2}
  • id: 1633671
    {'lmfdb_iso': '33462.u', 'p': 19, 'prec': 20, 'unit': 1007778899222722002131512, 'val': 2}
  • id: 1633678
    {'lmfdb_iso': '33462.u', 'p': 29, 'prec': 20, 'unit': 854506564072099089014171398, 'val': 2}
  • id: 1633688
    {'lmfdb_iso': '33462.u', 'p': 31, 'prec': 20, 'unit': 218250912455753300457088026, 'val': 2}
  • id: 1633674
    {'lmfdb_iso': '33462.u', 'p': 37, 'prec': 20, 'unit': 52613675381810977706723115346, 'val': 2}
  • id: 1633676
    {'lmfdb_iso': '33462.u', 'p': 41, 'prec': 20, 'unit': 1342229279771617197426286222778, 'val': 2}
  • id: 1633677
    {'lmfdb_iso': '33462.u', 'p': 43, 'prec': 20, 'unit': 5477556929222902413449760940523, 'val': 2}
  • id: 1633686
    {'lmfdb_iso': '33462.u', 'p': 47, 'prec': 20, 'unit': 21062605678508457185655273174997, 'val': 2}
  • id: 1633682
    {'lmfdb_iso': '33462.u', 'p': 53, 'prec': 20, 'unit': 58953523138472718345259392521118, 'val': 2}
  • id: 1633683
    {'lmfdb_iso': '33462.u', 'p': 59, 'prec': 20, 'unit': 4098608398732572106807277915582262, 'val': 2}
  • id: 1633687
    {'lmfdb_iso': '33462.u', 'p': 61, 'prec': 20, 'unit': 69802018920415239256056480178534, 'val': 2}
  • id: 1633673
    {'lmfdb_iso': '33462.u', 'p': 67, 'prec': 20, 'unit': 33439045594299558805879881439699285, 'val': 2}
  • id: 1633685
    {'lmfdb_iso': '33462.u', 'p': 71, 'prec': 20, 'unit': 46496306079063481501380425125054719, 'val': 2}
  • id: 1633684
    {'lmfdb_iso': '33462.u', 'p': 73, 'prec': 20, 'unit': 221469832094861810345944872169057313, 'val': 2}
  • id: 1633679
    {'lmfdb_iso': '33462.u', 'p': 79, 'prec': 20, 'unit': 1101442118094793980200422821032101135, 'val': 2}
  • id: 1633681
    {'lmfdb_iso': '33462.u', 'p': 83, 'prec': 20, 'unit': 610437258992903438850545828399861251, 'val': 2}
  • id: 1633672
    {'lmfdb_iso': '33462.u', 'p': 97, 'prec': 20, 'unit': 30686426773653070201281010476379746503, 'val': 2}