Elliptic curve data - 33600.cn4

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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': '33600fg', 'Clabel': '33600fg1', 'Cnumber': 1, 'abc_quality': 1.1084282779180015, 'absD': 21168000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 840, 'ainvs': [0, -1, 0, 667, 2037], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 33600, 'degree': 27648, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67022177433432124519252598660', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2048000, 1323], 'lmfdb_iso': '33600.cn', 'lmfdb_label': '33600.cn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 7, 0], 'min_quad_twist_disc': -40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '28.6.0.b.1', '84.48.1.?', '120.48.0.?', '840.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6383202558847044942794931684', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 11200], [5, 14, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71211983234935003328888044789', 'prec': 107}, 'szpiro_ratio': 2.985956002563186, '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, -6, 0, 2, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, -1, 0, 1, -6, 2, 0, -4, -6, -6, -8, 2, 12, 4, 12, -6, 0, 10, -8, -6, 10, 4, 12, 12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 33600, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '33600.cn', 'trace_hash': 66985656287700901}
• 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': '0.26172955303598860770455520763', 'prec': 103}, 'conductor': 33600, 'gens': [[1, 52, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6383202558847044942794931684', 'prec': 100}], 'lmfdb_label': '33600.cn4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.75574583708279460918979066811', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9877991005521577360607997964317639859', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-3, 0, 1]], 'xcoord_integral_points': [-3, 1, 172]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '33600.cn4'}
• ec_torsion_growth •

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

  
  
  • id: 1671673
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '33600.cn4', 'torsion': [2, 2]}
  • id: 1671674
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '33600.cn4', 'torsion': [6]}
  • id: 1671675
    {'degree': 4, 'field': [-75, 0, 20, 0, 1], 'lmfdb_label': '33600.cn4', 'torsion': [4]}
  • id: 1671676
    {'degree': 4, 'field': [100, 0, -10, 0, 1], 'lmfdb_label': '33600.cn4', 'torsion': [2, 6]}
  • id: 1671677
    {'degree': 6, 'field': [-750, 0, -200, 0, -10, 0, 1], 'lmfdb_label': '33600.cn4', 'torsion': [6]}
  • id: 1671679
    {'degree': 8, 'field': [625, 0, 1000, 0, 375, 0, -20, 0, 1], 'lmfdb_label': '33600.cn4', 'torsion': [2, 4]}
  • id: 1671680
    {'degree': 8, 'field': [729, -108, 938, -96, 404, -72, 42, -4, 1], 'lmfdb_label': '33600.cn4', 'torsion': [12]}
  • id: 1671678
    {'degree': 8, 'field': [5625, 0, 1500, 0, 475, 0, -20, 0, 1], 'lmfdb_label': '33600.cn4', 'torsion': [2, 4]}
  • id: 1671681
    {'degree': 12, 'field': [562500, 0, -150000, 0, 32500, 0, -3500, 0, 300, 0, 10, 0, 1], 'lmfdb_label': '33600.cn4', 'torsion': [6, 6]}
  • id: 1671684
    {'degree': 16, 'field': [113569, 334304, 611048, 606832, 467336, 255244, 108030, 39864, 13663, 5172, 2946, 628, -10, 40, 26, -4, 1], 'lmfdb_label': '33600.cn4', 'torsion': [2, 12]}
  • id: 1671682
    {'degree': 16, 'field': [737881, 0, -5765272, 0, -1896384, 0, -170576, 0, -13622, 0, -2072, 0, -336, 0, -16, 0, 1], 'lmfdb_label': '33600.cn4', 'torsion': [8]}
  • id: 1671683
    {'degree': 16, 'field': [3899161, -10728844, 17382598, -15250096, 12806942, -7162876, 4064298, -1648444, 691379, -210320, 67254, -15092, 3668, -560, 100, -8, 1], 'lmfdb_label': '33600.cn4', 'torsion': [2, 12]}
  • id: 1671685
    {'degree': 18, 'field': [1072701161, -951676152, 1587183654, -837528338, 682056705, -260623350, 150523511, -45362832, 20846043, -5089240, 1921176, -375522, 117754, -17766, 4641, -494, 105, -6, 1], 'lmfdb_label': '33600.cn4', '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: 788137
    {'conductor': 33600, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '33600.cn4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 788138
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '33600.cn4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 788139
    {'conductor': 33600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '33600.cn4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 788140
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33600.cn4', 'prime': 7, 'reduction_type': 1, '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: 1888441
    {'adelic_gens': [[566, 515, 45, 736], [599, 660, 600, 659], [829, 670, 470, 429], [503, 0, 0, 839], [711, 10, 350, 401], [1, 0, 12, 1], [829, 12, 828, 13], [1, 6, 6, 37], [419, 0, 0, 839], [1, 12, 0, 1], [241, 180, 690, 241], [11, 2, 790, 831]], 'adelic_image': '840.96.1.?', 'conductor': 33600, 'lmfdb_label': '33600.cn4', 'prime': 0}
  • id: 149681
    {'conductor': 33600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '33600.cn4', 'modell_image': '2B', 'prime': 2}
  • id: 149682
    {'conductor': 33600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '33600.cn4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1641516
    {'lmfdb_iso': '33600.cn', 'p': 11, 'prec': 20, 'unit': 60982615965873432898, 'val': 1}
  • id: 1641522
    {'lmfdb_iso': '33600.cn', 'p': 13, 'prec': 20, 'unit': 768327615424404471740, 'val': 1}
  • id: 1641524
    {'lmfdb_iso': '33600.cn', 'p': 19, 'prec': 20, 'unit': 1556977028595085378345767, 'val': 1}
  • id: 1641527
    {'lmfdb_iso': '33600.cn', 'p': 23, 'prec': 20, 'unit': 34441098422840385325742635, 'val': 1}
  • id: 1641521
    {'lmfdb_iso': '33600.cn', 'p': 29, 'prec': 20, 'unit': 4779096248281084210255687041, 'val': 1}
  • id: 1641532
    {'lmfdb_iso': '33600.cn', 'p': 31, 'prec': 20, 'unit': 17493940247259738887388202470, 'val': 1}
  • id: 1641517
    {'lmfdb_iso': '33600.cn', 'p': 37, 'prec': 20, 'unit': 369798572737816555235872901983, 'val': 1}
  • id: 1641519
    {'lmfdb_iso': '33600.cn', 'p': 41, 'prec': 20, 'unit': 4389507208920917339577147257871, 'val': 1}
  • id: 1641520
    {'lmfdb_iso': '33600.cn', 'p': 43, 'prec': 20, 'unit': 7043625891938959268197210758628, 'val': 1}
  • id: 1641523
    {'lmfdb_iso': '33600.cn', 'p': 47, 'prec': 20, 'unit': 2804059974605390005017359698042, 'val': 1}
  • id: 1641525
    {'lmfdb_iso': '33600.cn', 'p': 53, 'prec': 20, 'unit': 170902616602363027653009285279758, 'val': 1}
  • id: 1641530
    {'lmfdb_iso': '33600.cn', 'p': 61, 'prec': 20, 'unit': 7742019954259004946150263330330717, 'val': 1}
  • id: 1641515
    {'lmfdb_iso': '33600.cn', 'p': 67, 'prec': 20, 'unit': 11190003571347853613584900259429870, 'val': 1}
  • id: 1641518
    {'lmfdb_iso': '33600.cn', 'p': 71, 'prec': 20, 'unit': 14649976760241535524035320808089078, 'val': 1}
  • id: 1641526
    {'lmfdb_iso': '33600.cn', 'p': 73, 'prec': 20, 'unit': 209425683830027582570465420777475558, 'val': 1}
  • id: 1641529
    {'lmfdb_iso': '33600.cn', 'p': 79, 'prec': 20, 'unit': 8323252341595255117767708814112436, 'val': 1}
  • id: 1641531
    {'lmfdb_iso': '33600.cn', 'p': 83, 'prec': 20, 'unit': 1195178849807128903320399661496776138, 'val': 1}
  • id: 1641528
    {'lmfdb_iso': '33600.cn', 'p': 89, 'prec': 20, 'unit': 9756719721973958427945163986998979097, 'val': 1}
  • id: 1641514
    {'lmfdb_iso': '33600.cn', 'p': 97, 'prec': 20, 'unit': 36134952676323547453060068443726706680, 'val': 1}