Elliptic curve data - 87120.dj4

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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': '87120gl', 'Clabel': '87120gl3', 'Cnumber': 3, 'abc_quality': 1.0221529257865163, 'absD': 3867623700162750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, 0, 0, 347028, 52549211], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 87120, 'degree': 1658880, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2542879872966548709444401841', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 87, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [223673040896, 187171875], 'lmfdb_iso': '87120.dj', 'lmfdb_label': '87120.dj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 319, -1356], 'min_quad_twist_disc': -132, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.10', '22.6.0.a.1', '60.48.0-60.s.1.3', '66.24.0.a.1', '132.48.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5235318954384955597791147822', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 1936], [5, 6, 17424], [11, 72, 720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27498514637676631674343506950', 'prec': 103}, 'szpiro_ratio': 4.385485903057255, '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, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 0, 1, -4, 0, 4, -6, 2, 0, 0, 4, -10, 0, -4, 12, -6, 12, 10, 4, 0, -8, -10, 6, 6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 87120, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '87120.dj', 'trace_hash': 139700185085879699}
• 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': '0.011014133419431682431345751782', 'prec': 107}, 'conductor': 87120, 'gens': [[737, 26620, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5235318954384955597791147822', 'prec': 100}], 'lmfdb_label': '87120.dj4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16064472716063702540365024998', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8739367759178871107740744515178106453', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-143, 0, 1]], 'xcoord_integral_points': [-143, 737, 8497]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '87120.dj4'}
• ec_torsion_growth •

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

  
  
  • id: 4081380
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '87120.dj4', 'torsion': [6]}
  • id: 4081379
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '87120.dj4', 'torsion': [2, 2]}
  • id: 4081382
    {'degree': 4, 'field': [9, 0, -5, 0, 1], 'lmfdb_label': '87120.dj4', 'torsion': [2, 6]}
  • id: 4081381
    {'degree': 4, 'field': [25, -10, -4, -2, 1], 'lmfdb_label': '87120.dj4', 'torsion': [4]}
  • id: 4081383
    {'degree': 6, 'field': [15972, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '87120.dj4', 'torsion': [6]}
  • id: 4081386
    {'degree': 8, 'field': [16, 0, 0, 0, -52, 0, 0, 0, 1], 'lmfdb_label': '87120.dj4', 'torsion': [12]}
  • id: 4081384
    {'degree': 8, 'field': [2341, 570, -270, 330, 83, -30, 0, 0, 1], 'lmfdb_label': '87120.dj4', 'torsion': [2, 4]}
  • id: 4081385
    {'degree': 8, 'field': [5625, -2400, -2804, 476, 602, 32, -28, -4, 1], 'lmfdb_label': '87120.dj4', 'torsion': [2, 4]}
  • id: 4081388
    {'degree': 12, 'field': [753, 774, 1413, -4890, 3870, -2106, 1417, -726, 330, -110, 33, -6, 1], 'lmfdb_label': '87120.dj4', 'torsion': [2, 6]}
  • id: 4081387
    {'degree': 12, 'field': [1803649, 0, -922746, 0, 223575, 0, -26596, 0, 1815, 0, -66, 0, 1], 'lmfdb_label': '87120.dj4', 'torsion': [3, 6]}
  • id: 4081390
    {'degree': 16, 'field': [225, 0, 420, 0, 766, 0, -52, 0, -201, 0, 4, 0, 54, 0, 8, 0, 1], 'lmfdb_label': '87120.dj4', 'torsion': [2, 12]}
  • id: 4081391
    {'degree': 16, 'field': [17125, -15730, 16000, 2342, -8281, 8156, -1782, -1360, 896, -158, -162, 64, 50, -56, 28, -8, 1], 'lmfdb_label': '87120.dj4', 'torsion': [2, 12]}
  • id: 4081389
    {'degree': 16, 'field': [980100, 0, -1663200, 0, 150120, 0, 414240, 0, 69736, 0, 4576, 0, -204, 0, 16, 0, 1], 'lmfdb_label': '87120.dj4', 'torsion': [8]}
  • id: 4081392
    {'degree': 18, 'field': [3242511000, -18377118000, 27228733200, -16717302720, 3459872880, 1397940120, -1159263864, 314626680, -13618044, -15467100, 4561920, -424980, -18790, 840, 1710, -70, -54, 0, 1], 'lmfdb_label': '87120.dj4', '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: 2127539
    {'conductor': 87120, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '87120.dj4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2127540
    {'conductor': 87120, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '87120.dj4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2127541
    {'conductor': 87120, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '87120.dj4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 2127542
    {'conductor': 87120, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '87120.dj4', 'prime': 11, '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: 2237859
    {'adelic_gens': [[397, 12, 402, 73], [439, 648, 434, 587], [1, 0, 12, 1], [649, 12, 648, 13], [1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 610, 651], [530, 657, 87, 8], [381, 602, 34, 259]], 'adelic_image': '660.96.1.?', 'conductor': 87120, 'lmfdb_label': '87120.dj4', 'prime': 0}
  • id: 354834
    {'conductor': 87120, 'elladic_image': '2.3.0.1', 'lmfdb_label': '87120.dj4', 'modell_image': '2B', 'prime': 2}
  • id: 354835
    {'conductor': 87120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '87120.dj4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4504568
    {'lmfdb_iso': '87120.dj', 'p': 7, 'prec': 20, 'unit': 1482693706625437, 'val': 1}
  • id: 4504571
    {'lmfdb_iso': '87120.dj', 'p': 13, 'prec': 20, 'unit': 708521503141061633228, 'val': 1}
  • id: 4504573
    {'lmfdb_iso': '87120.dj', 'p': 17, 'prec': 20, 'unit': 87779801166862937929282, 'val': 1}
  • id: 4504564
    {'lmfdb_iso': '87120.dj', 'p': 19, 'prec': 20, 'unit': 1897394126202316098077442, 'val': 1}
  • id: 4504580
    {'lmfdb_iso': '87120.dj', 'p': 31, 'prec': 20, 'unit': 4454494328998413769518161577, 'val': 1}
  • id: 4504567
    {'lmfdb_iso': '87120.dj', 'p': 37, 'prec': 20, 'unit': 265874003658364778176084777312, 'val': 1}
  • id: 4504570
    {'lmfdb_iso': '87120.dj', 'p': 43, 'prec': 20, 'unit': 9916391196284481151940275544056, 'val': 1}
  • id: 4504578
    {'lmfdb_iso': '87120.dj', 'p': 47, 'prec': 20, 'unit': 10489681714512019649895868208935, 'val': 1}
  • id: 4504575
    {'lmfdb_iso': '87120.dj', 'p': 53, 'prec': 20, 'unit': 550608854190696166382886037936023, 'val': 1}
  • id: 4504576
    {'lmfdb_iso': '87120.dj', 'p': 59, 'prec': 20, 'unit': 3421021927255765535846696095939773, 'val': 1}
  • id: 4504579
    {'lmfdb_iso': '87120.dj', 'p': 61, 'prec': 20, 'unit': 6796367403102964585600018741207110, 'val': 1}
  • id: 4504566
    {'lmfdb_iso': '87120.dj', 'p': 67, 'prec': 20, 'unit': 22181744307801374974656947790265927, 'val': 1}
  • id: 4504569
    {'lmfdb_iso': '87120.dj', 'p': 73, 'prec': 20, 'unit': 200661193362755366438033210302722174, 'val': 1}
  • id: 4504572
    {'lmfdb_iso': '87120.dj', 'p': 79, 'prec': 20, 'unit': 731022500478180595474089115129058402, 'val': 1}
  • id: 4504574
    {'lmfdb_iso': '87120.dj', 'p': 83, 'prec': 20, 'unit': 519504573534843288142323413477017689, 'val': 1}
  • id: 4504577
    {'lmfdb_iso': '87120.dj', 'p': 89, 'prec': 20, 'unit': 10102186785272953357126722113740528591, 'val': 1}
  • id: 4504565
    {'lmfdb_iso': '87120.dj', 'p': 97, 'prec': 20, 'unit': 27100400152239990045244162140394239157, 'val': 1}