Elliptic curve data - 79800.bm3

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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': '79800bu', 'Clabel': '79800bu3', 'Cnumber': 3, 'abc_quality': 1.0526082543070654, 'absD': 340827856037424000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5320, 'ainvs': [0, 1, 0, -159608, 888516288], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 79800, 'degree': 3145728, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6188730288695313922534668987', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [-28104147578308, 21301741002339], 'lmfdb_iso': '79800.bm', 'lmfdb_label': '79800.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6384, 7110684], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '38.6.0.b.1', '56.12.0.ba.1', '76.12.0.?', '280.24.0.?', '380.24.0.?', '1064.24.0.?', '5320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.61571359426171927303675857901', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 475], [3, 4, 3800], [5, 14, 3192], [7, 8, 11400], [19, 20, 4200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2365314221858601137720604642', 'prec': 100}, 'szpiro_ratio': 4.84912204397065, '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, 1, 0, 1, 0, -4, 0, -2, 0, 0, 0, 6, 0, 1, 0], 'aplist': [0, 1, 0, 1, -4, -2, 6, 1, 0, -10, 8, 2, 6, -4, 8, -6, -4, -10, -8, 12, 14, -4, 4, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 79800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '79800.bm', 'trace_hash': 1583873159645269642}
• 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': '0.0053122167821975271951691201746', 'prec': 110}, 'conductor': 79800, 'gens': [[208, 29400, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.61571359426171927303675857901', 'prec': 103}], 'lmfdb_label': '79800.bm3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13807744234734567564405972168', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1615511981583548939281149060897162711', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[-1017, 0, 1]], 'xcoord_integral_points': [-1017, -728, 208, 1384, 3883]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '79800.bm3'}
• ec_torsion_growth •

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

  
  
  • id: 3762139
    {'degree': 2, 'field': [-95, 0, 1], 'lmfdb_label': '79800.bm3', 'torsion': [4]}
  • id: 3762138
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '79800.bm3', 'torsion': [2, 2]}
  • id: 3762140
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '79800.bm3', 'torsion': [4]}
  • id: 3762141
    {'degree': 4, 'field': [5, -20, 21, -2, 1], 'lmfdb_label': '79800.bm3', 'torsion': [2, 4]}
  • id: 3762145
    {'degree': 8, 'field': [81, 0, -108, -150, 204, -50, -12, 0, 1], 'lmfdb_label': '79800.bm3', 'torsion': [6]}
  • id: 3762144
    {'degree': 8, 'field': [1701, -798, 722, 150, -69, -10, 8, -4, 1], 'lmfdb_label': '79800.bm3', 'torsion': [8]}
  • id: 3762142
    {'degree': 8, 'field': [6309, -1212, 1370, -312, 147, 8, 2, -4, 1], 'lmfdb_label': '79800.bm3', 'torsion': [2, 4]}
  • id: 3762143
    {'degree': 8, 'field': [1256641, 0, 638248, 0, -2622, 0, -152, 0, 1], 'lmfdb_label': '79800.bm3', 'torsion': [8]}
  • id: 3762148
    {'degree': 16, 'field': [19600, 0, -49840, 0, 114424, 0, -12156, 0, -4335, 0, 108, 0, 94, 0, 8, 0, 1], 'lmfdb_label': '79800.bm3', 'torsion': [2, 8]}
  • id: 3762146
    {'degree': 16, 'field': [52441, 0, 250584, 0, 54018, 0, -20604, 0, 2323, 0, 372, 0, -18, 0, 12, 0, 1], 'lmfdb_label': '79800.bm3', 'torsion': [4, 4]}
  • id: 3762151
    {'degree': 16, 'field': [660969, 0, 956160, 0, 234612, 0, 83720, 0, 31070, 0, 6800, 0, 724, 0, 40, 0, 1], 'lmfdb_label': '79800.bm3', 'torsion': [12]}
  • id: 3762149
    {'degree': 16, 'field': [44368541, -686846, 22434436, -2895854, 7444956, -1576982, 1394948, -394972, 126147, -39364, 6022, -2456, 396, -68, 44, -8, 1], 'lmfdb_label': '79800.bm3', 'torsion': [2, 6]}
  • id: 3762150
    {'degree': 16, 'field': [298420029, 636205428, 567979434, 302471196, 122789432, 43475964, 12343170, 2286848, 95946, -69108, -5034, 1524, 144, -76, -42, 0, 1], 'lmfdb_label': '79800.bm3', 'torsion': [12]}
  • id: 3762147
    {'degree': 16, 'field': [11169655056, -184119264, 1257034464, -2343152784, 1681614148, -659627688, 301397340, -74365432, 24328073, -4019536, 1001960, -111856, 21858, -1512, 236, -8, 1], 'lmfdb_label': '79800.bm3', 'torsion': [2, 8]}
• 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: 1943186
    {'conductor': 79800, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '79800.bm3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1943187
    {'conductor': 79800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '79800.bm3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1943188
    {'conductor': 79800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '79800.bm3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1943189
    {'conductor': 79800, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '79800.bm3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 1943190
    {'conductor': 79800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '79800.bm3', 'prime': 19, '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: 2190649
    {'adelic_gens': [[4036, 1065, 4055, 6], [2531, 2530, 1210, 4931], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [2531, 400, 5210, 4661], [5313, 8, 5312, 9], [7, 6, 5314, 5315], [3041, 3200, 460, 2161], [1063, 0, 0, 5319]], 'adelic_image': '5320.48.0.?', 'conductor': 79800, 'lmfdb_label': '79800.bm3', 'prime': 0}
  • id: 328346
    {'conductor': 79800, 'elladic_image': '4.6.0.1', 'lmfdb_label': '79800.bm3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4113444
    {'lmfdb_iso': '79800.bm', 'p': 11, 'prec': 20, 'unit': 36126137999677184695, 'val': 1}
  • id: 4113450
    {'lmfdb_iso': '79800.bm', 'p': 13, 'prec': 20, 'unit': 3425863071753897126, 'val': 1}
  • id: 4113452
    {'lmfdb_iso': '79800.bm', 'p': 17, 'prec': 20, 'unit': 227295330200283984367352, 'val': 1}
  • id: 4113449
    {'lmfdb_iso': '79800.bm', 'p': 29, 'prec': 20, 'unit': 2388275059214146138060739754, 'val': 1}
  • id: 4113460
    {'lmfdb_iso': '79800.bm', 'p': 31, 'prec': 20, 'unit': 10147592636707569127974379988, 'val': 1}
  • id: 4113445
    {'lmfdb_iso': '79800.bm', 'p': 37, 'prec': 20, 'unit': 455558887159036315071606591745, 'val': 1}
  • id: 4113447
    {'lmfdb_iso': '79800.bm', 'p': 41, 'prec': 20, 'unit': 1262258411594914010638892525665, 'val': 1}
  • id: 4113448
    {'lmfdb_iso': '79800.bm', 'p': 43, 'prec': 20, 'unit': 6603073535019594463464787697755, 'val': 1}
  • id: 4113458
    {'lmfdb_iso': '79800.bm', 'p': 47, 'prec': 20, 'unit': 9390487297239503241862564283442, 'val': 1}
  • id: 4113454
    {'lmfdb_iso': '79800.bm', 'p': 53, 'prec': 20, 'unit': 383936087069927731697002324917302, 'val': 1}
  • id: 4113455
    {'lmfdb_iso': '79800.bm', 'p': 59, 'prec': 20, 'unit': 1457037533628406509513333944141086, 'val': 1}
  • id: 4113459
    {'lmfdb_iso': '79800.bm', 'p': 61, 'prec': 20, 'unit': 2047046598435171618623197272322552, 'val': 1}
  • id: 4113453
    {'lmfdb_iso': '79800.bm', 'p': 67, 'prec': 20, 'unit': 12764128054001722126030517938656439, 'val': 1}
  • id: 4113446
    {'lmfdb_iso': '79800.bm', 'p': 71, 'prec': 20, 'unit': 65315305165774908180810200975805172, 'val': 1}
  • id: 4113456
    {'lmfdb_iso': '79800.bm', 'p': 73, 'prec': 20, 'unit': 77267792292031804618787433946482807, 'val': 1}
  • id: 4113451
    {'lmfdb_iso': '79800.bm', 'p': 79, 'prec': 20, 'unit': 41471833572132740069450613516468490, 'val': 1}
  • id: 4113443
    {'lmfdb_iso': '79800.bm', 'p': 83, 'prec': 20, 'unit': 2038979637331349131530293798954158896, 'val': 1}
  • id: 4113457
    {'lmfdb_iso': '79800.bm', 'p': 89, 'prec': 20, 'unit': 3456471200441046038354422771108006823, 'val': 1}
  • id: 4113442
    {'lmfdb_iso': '79800.bm', 'p': 97, 'prec': 20, 'unit': 48071855000889465746613612876664141360, 'val': 1}