Elliptic curve data - 33810.bv1

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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': '33810cd', 'Clabel': '33810cd4', 'Cnumber': 4, 'abc_quality': 1.0003496450255243, 'absD': 35663234842397579369400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 19320, 'ainvs': [1, 1, 1, -23635641, 43275013263], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 33810, 'degree': 5971968, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1114403447806270580488611393', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [12411881707829361287041, 303132494474220600], 'lmfdb_iso': '33810.bv', 'lmfdb_label': '33810.bv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -482360, -126235128], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '60.24.0.t.1', '184.6.0.?', '420.48.0.?', '552.24.0.?', '2760.48.1.?', '3864.48.0.?', '19320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8367771687182253981809706177', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1384852702529704054961847676', 'prec': 100}, 'szpiro_ratio': 5.997826218049238, '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, -1, 1, -1, -1, 0, 1, 1, -1, -6, -1, 4, 0, 1, 1, 6, 1, 4, -1], 'aplist': [1, -1, -1, 0, -6, 4, 6, 4, -1, 0, 4, -10, -6, -10, 0, -6, 0, -2, 14, 6, -14, 8, 12, 12, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 33810, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '33810.bv', 'trace_hash': 195364705272007119}
• 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': '0.0019835230651619736032451820525', 'prec': 110}, 'conductor': 33810, 'gens': [[5641, 296324, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.8367771687182253981809706177', 'prec': 100}], 'lmfdb_label': '33810.bv1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11570258552435925478398839660', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7155314883106642431298869779198011235', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[9859, -9863, 2]], 'xcoord_integral_points': [5641]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [1, 0], '5': [1, 0], '7': 'a', '11': [5, 0], '13': [1, 0], '17': [1, 0], '19': [5, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '33810.bv1'}
• ec_torsion_growth •

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

  
  
  • id: 1680593
    {'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '33810.bv1', 'torsion': [2, 2]}
  • id: 1680594
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '33810.bv1', 'torsion': [6]}
  • id: 1680596
    {'degree': 4, 'field': [1635, 102, -101, -2, 1], 'lmfdb_label': '33810.bv1', 'torsion': [2, 6]}
  • id: 1680595
    {'degree': 4, 'field': [2254, 0, -49, 0, 1], 'lmfdb_label': '33810.bv1', 'torsion': [4]}
  • id: 1680597
    {'degree': 6, 'field': [308, -147, -27, 17, 9, -3, 1], 'lmfdb_label': '33810.bv1', 'torsion': [6]}
  • id: 1680600
    {'degree': 8, 'field': [2116, 0, -1610, 0, 1107, 0, -35, 0, 1], 'lmfdb_label': '33810.bv1', 'torsion': [12]}
  • id: 1680599
    {'degree': 8, 'field': [1095606, -2272680, 800180, -19336, -22843, 1916, 10, -4, 1], 'lmfdb_label': '33810.bv1', 'torsion': [2, 4]}
  • id: 1680598
    {'degree': 8, 'field': [4477456, 0, 620448, 0, 24113, 0, -282, 0, 1], 'lmfdb_label': '33810.bv1', 'torsion': [2, 4]}
  • id: 1680601
    {'degree': 12, 'field': [24964, 19434, 5175, 21337, 7836, -5397, 1967, 114, -111, 59, 0, -3, 1], 'lmfdb_label': '33810.bv1', 'torsion': [3, 6]}
  • id: 1680602
    {'degree': 12, 'field': [11169654482, 1956316656, -1180698483, -183515090, 60005121, 6433548, -1692999, -117930, 27651, 1240, -249, -6, 1], 'lmfdb_label': '33810.bv1', 'torsion': [2, 6]}
  • id: 1680605
    {'degree': 16, 'field': [-58640301, 313824744, -374699172, 112913160, -32693672, -33154848, 18638784, -6199432, 1139429, 320912, -110884, 24704, -3450, -336, 68, -8, 1], 'lmfdb_label': '33810.bv1', 'torsion': [2, 12]}
  • id: 1680604
    {'degree': 16, 'field': [25218200025, -14377951800, 2682750660, -61560600, 129223879, -70536076, -3204066, 4790636, 62316, -171848, -21720, 3328, 2703, -340, -18, -4, 1], 'lmfdb_label': '33810.bv1', 'torsion': [2, 12]}
  • id: 1680603
    {'degree': 16, 'field': [587929385416, 1496581737416, 1816730517226, -271007352004, 36992655624, -12246553504, 672901399, -144982248, 19365829, -1870728, 519164, -111780, 16142, -1472, 215, 0, 1], 'lmfdb_label': '33810.bv1', 'torsion': [8]}
  • id: 1680606
    {'degree': 18, 'field': [-537876125116875, 464179016660625, 25148002162500, -9909811126125, -7928426842875, -309651811875, 351725957325, 47451010950, 350845425, -1875291825, -183391110, 18419940, 2315104, 106869, -11088, -2150, -147, 0, 1], 'lmfdb_label': '33810.bv1', '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: 792821
    {'conductor': 33810, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '33810.bv1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 792822
    {'conductor': 33810, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33810.bv1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 792823
    {'conductor': 33810, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33810.bv1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 792824
    {'conductor': 33810, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '33810.bv1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 792825
    {'conductor': 33810, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '33810.bv1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1889870
    {'adelic_gens': [[11, 2, 19270, 19311], [16559, 0, 0, 19319], [16570, 5523, 17913, 2752], [12881, 2772, 14266, 16633], [15457, 2772, 7182, 16633], [4026, 3577, 13685, 10466], [1, 0, 12, 1], [6490, 5523, 693, 2752], [1, 6, 6, 37], [19309, 12, 19308, 13], [1, 12, 0, 1]], 'adelic_image': '19320.96.1.?', 'conductor': 33810, 'lmfdb_label': '33810.bv1', 'prime': 0}
  • id: 150659
    {'conductor': 33810, 'elladic_image': '2.3.0.1', 'lmfdb_label': '33810.bv1', 'modell_image': '2B', 'prime': 2}
  • id: 150660
    {'conductor': 33810, 'elladic_image': '3.4.0.1', 'lmfdb_label': '33810.bv1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1651386
    {'lmfdb_iso': '33810.bv', 'p': 11, 'prec': 20, 'unit': 816608217104494746, 'val': 2}
  • id: 1651384
    {'lmfdb_iso': '33810.bv', 'p': 13, 'prec': 20, 'unit': 1084453840696513670766, 'val': 1}
  • id: 1651387
    {'lmfdb_iso': '33810.bv', 'p': 17, 'prec': 20, 'unit': 122062182053442717766364, 'val': 1}
  • id: 1651388
    {'lmfdb_iso': '33810.bv', 'p': 19, 'prec': 20, 'unit': 46575903278040917697924, 'val': 2}
  • id: 1651393
    {'lmfdb_iso': '33810.bv', 'p': 31, 'prec': 20, 'unit': 16828715641206488805597868852, 'val': 1}
  • id: 1651380
    {'lmfdb_iso': '33810.bv', 'p': 37, 'prec': 20, 'unit': 54898871020088738691220261999, 'val': 1}
  • id: 1651382
    {'lmfdb_iso': '33810.bv', 'p': 41, 'prec': 20, 'unit': 1337181937332972209765150919074, 'val': 1}
  • id: 1651383
    {'lmfdb_iso': '33810.bv', 'p': 43, 'prec': 20, 'unit': 5442632553021771413674368976044, 'val': 1}
  • id: 1651389
    {'lmfdb_iso': '33810.bv', 'p': 53, 'prec': 20, 'unit': 375014512184891488242915868207580, 'val': 1}
  • id: 1651392
    {'lmfdb_iso': '33810.bv', 'p': 61, 'prec': 20, 'unit': 19750672708881253055717435032058, 'val': 1}
  • id: 1651379
    {'lmfdb_iso': '33810.bv', 'p': 67, 'prec': 20, 'unit': 11115432396583689438621075950062395, 'val': 1}
  • id: 1651381
    {'lmfdb_iso': '33810.bv', 'p': 71, 'prec': 20, 'unit': 62055684198516942817630375693121847, 'val': 1}
  • id: 1651390
    {'lmfdb_iso': '33810.bv', 'p': 73, 'prec': 20, 'unit': 185116773269826418455167759629014831, 'val': 1}
  • id: 1651385
    {'lmfdb_iso': '33810.bv', 'p': 79, 'prec': 20, 'unit': 130191776944192106301593550269743239, 'val': 1}
  • id: 1651378
    {'lmfdb_iso': '33810.bv', 'p': 83, 'prec': 20, 'unit': 1302691043462623833446189505433384718, 'val': 1}
  • id: 1651391
    {'lmfdb_iso': '33810.bv', 'p': 89, 'prec': 20, 'unit': 1399180193910189991461807305773456556, 'val': 1}
  • id: 1651377
    {'lmfdb_iso': '33810.bv', 'p': 97, 'prec': 20, 'unit': 30273550952475743960742913665543206108, 'val': 1}