Elliptic curve data - 11774.m6

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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': '11774k', 'Clabel': '11774k3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 13057561542592, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 14616, 'ainvs': [1, 1, 1, 3767, -147785], 'analytic_rank': 1, 'bad_primes': [2, 7, 29], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11774, 'degree': 24192, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2008691608022939707661796918', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '11774.m', 'lmfdb_label': '11774.m6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': 29, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '42.72.1.d.1', '56.12.0.n.1', '63.36.0.a.1', '87.24.0.?', '126.216.7.?', '168.144.5.?', '174.72.0.?', '504.432.21.?', '696.144.1.?', '1218.144.1.?', '1827.72.0.?', '3654.432.7.?', '4872.288.5.?', '14616.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4225529396152297726916861088', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632438', 'prec': 107}, 'szpiro_ratio': 3.984712901796847, '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, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, -4, 1, 0, 1, -6, 1, -2, 0], 'aplist': [1, 2, 0, 1, 0, -4, -6, -2, 0, 0, 4, -2, -6, -8, 12, 6, -6, -8, -4, 0, -2, -8, -6, 6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 11774, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '11774.m', 'trace_hash': 1398253986630097751}
• 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': '0.090560393295931592637857067892', 'prec': 107}, 'conductor': 11774, 'gens': [[1075, 34784, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4225529396152297726916861088', 'prec': 100}], 'lmfdb_label': '11774.m6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36792596457622131762777521311', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.4210949244361055842699584129071037637', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[31, -16, 1]], 'xcoord_integral_points': [31, 1075]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [3, 1], '5': [1, 1, 0], '7': [2, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': 'a', '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11774.m6'}
• ec_torsion_growth •

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

  
  
  • id: 609599
    {'degree': 2, 'field': [-7, -1, 1], 'lmfdb_label': '11774.m6', 'torsion': [6]}
  • id: 609598
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '11774.m6', 'torsion': [2, 2]}
  • id: 609600
    {'degree': 2, 'field': [22, -1, 1], 'lmfdb_label': '11774.m6', 'torsion': [6]}
  • id: 609601
    {'degree': 4, 'field': [-386, 44, 15, -2, 1], 'lmfdb_label': '11774.m6', 'torsion': [4]}
  • id: 609602
    {'degree': 4, 'field': [49, 7, 8, -1, 1], 'lmfdb_label': '11774.m6', 'torsion': [3, 6]}
  • id: 609603
    {'degree': 4, 'field': [81, 0, -11, 0, 1], 'lmfdb_label': '11774.m6', 'torsion': [2, 6]}
  • id: 609604
    {'degree': 4, 'field': [400, 0, 47, 0, 1], 'lmfdb_label': '11774.m6', 'torsion': [2, 6]}
  • id: 609608
    {'degree': 8, 'field': [2372, 616, -1466, -56, 323, -4, -30, 0, 1], 'lmfdb_label': '11774.m6', 'torsion': [12]}
  • id: 609607
    {'degree': 8, 'field': [6561, 0, 891, 0, 40, 0, 11, 0, 1], 'lmfdb_label': '11774.m6', 'torsion': [6, 6]}
  • id: 609606
    {'degree': 8, 'field': [8786, -5872, 2047, -722, 449, -84, 21, -2, 1], 'lmfdb_label': '11774.m6', 'torsion': [2, 4]}
  • id: 609609
    {'degree': 8, 'field': [14302, -5952, 6317, 1366, 237, 124, -9, -2, 1], 'lmfdb_label': '11774.m6', 'torsion': [12]}
  • id: 609605
    {'degree': 8, 'field': [171278, -40602, -5751, -18, 1245, -58, -29, -2, 1], 'lmfdb_label': '11774.m6', 'torsion': [2, 4]}
  • id: 609611
    {'degree': 16, 'field': [5626384, -1461152, 3856808, 637392, 1417496, 325328, 336798, 48296, 57753, 4036, 6774, -64, 577, -8, 30, 0, 1], 'lmfdb_label': '11774.m6', 'torsion': [3, 12]}
  • id: 609612
    {'degree': 16, 'field': [20389532, 12893776, -11596936, -8215924, 3442685, 2352730, -729554, -402830, 117622, 44732, -13246, -3266, 958, 154, -42, -4, 1], 'lmfdb_label': '11774.m6', 'torsion': [2, 12]}
  • id: 609613
    {'degree': 16, 'field': [23946112, -8433664, 14741840, -10399872, -68180, 5571580, -649152, -954766, 146147, 49006, 2422, -6090, 560, 182, -6, -8, 1], 'lmfdb_label': '11774.m6', 'torsion': [2, 12]}
  • id: 609610
    {'degree': 16, 'field': [27659392, 76328960, 84480768, 33244544, -3943440, -5841344, -1754256, -292800, 94748, 60208, 9592, -32, -860, -136, 8, 0, 1], 'lmfdb_label': '11774.m6', 'torsion': [8]}
  • id: 609614
    {'degree': 16, 'field': [28514756, 2297016, -19167520, -2242356, 5935023, 981576, -1105126, -237132, 137992, 34844, -12428, -3184, 842, 168, -40, -4, 1], 'lmfdb_label': '11774.m6', 'torsion': [2, 12]}
  • id: 609615
    {'degree': 16, 'field': [98789632, -55116800, 68443968, -28764032, 19898372, -7313216, 3641612, -1130528, 412425, -96832, 30032, -6296, 1474, -224, 52, -8, 1], 'lmfdb_label': '11774.m6', 'torsion': [2, 12]}
  • id: 609616
    {'degree': 18, 'field': [-29453711, -61099626, -2039709, 53738068, 10066689, -22735605, -4137917, 5941722, 800961, -1024408, -81888, 118464, 3252, -8982, 186, 412, -27, -9, 1], 'lmfdb_label': '11774.m6', 'torsion': [18]}
  • id: 609617
    {'degree': 18, 'field': [3413101343904, -1312572742992, 1333726357320, -386776319532, 213675301692, -48720275184, 18913413280, -3471782124, 1046660220, -157465541, 38956941, -4863384, 1016952, -103950, 18366, -1412, 204, -9, 1], 'lmfdb_label': '11774.m6', '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: 253638
    {'conductor': 11774, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '11774.m6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 253639
    {'conductor': 11774, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '11774.m6', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 253640
    {'conductor': 11774, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11774.m6', 'prime': 29, '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: 1742135
    {'adelic_gens': [[19, 24, 1440, 1819], [7309, 1044, 0, 4061], [1, 0, 36, 1], [9397, 12876, 522, 4699], [1, 36, 0, 1], [14581, 36, 14580, 37], [1, 6, 6, 37], [10583, 0, 0, 14615], [7309, 1044, 522, 4177], [5134, 2523, 4437, 3220]], 'adelic_image': '14616.864.21.?', 'conductor': 11774, 'lmfdb_label': '11774.m6', 'prime': 0}
  • id: 56464
    {'conductor': 11774, 'elladic_image': '8.6.0.1', 'lmfdb_label': '11774.m6', 'modell_image': '2B', 'prime': 2}
  • id: 56465
    {'conductor': 11774, 'elladic_image': '3.12.0.1', 'lmfdb_label': '11774.m6', 'modell_image': '3Cs', 'prime': 3}
• ec_padic •

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

  
  
  • id: 511395
    {'lmfdb_iso': '11774.m', 'p': 13, 'prec': 20, 'unit': 1444793956151857052715, 'val': 1}
  • id: 511397
    {'lmfdb_iso': '11774.m', 'p': 17, 'prec': 20, 'unit': 111803446934583534106602, 'val': 1}
  • id: 511389
    {'lmfdb_iso': '11774.m', 'p': 19, 'prec': 20, 'unit': 1966307755569524931676064, 'val': 1}
  • id: 511405
    {'lmfdb_iso': '11774.m', 'p': 31, 'prec': 20, 'unit': 18646508927722454111292926062, 'val': 1}
  • id: 511392
    {'lmfdb_iso': '11774.m', 'p': 37, 'prec': 20, 'unit': 445293602712716270132179899076, 'val': 1}
  • id: 511393
    {'lmfdb_iso': '11774.m', 'p': 41, 'prec': 20, 'unit': 1349905210107172198179971803661, 'val': 1}
  • id: 511394
    {'lmfdb_iso': '11774.m', 'p': 43, 'prec': 20, 'unit': 4814043311382517990595825348573, 'val': 1}
  • id: 511403
    {'lmfdb_iso': '11774.m', 'p': 47, 'prec': 20, 'unit': 38700382947334003273911691491934, 'val': 1}
  • id: 511399
    {'lmfdb_iso': '11774.m', 'p': 53, 'prec': 20, 'unit': 104102539581149466244199090276678, 'val': 1}
  • id: 511400
    {'lmfdb_iso': '11774.m', 'p': 59, 'prec': 20, 'unit': 3222179668742576486897594508302115, 'val': 1}
  • id: 511404
    {'lmfdb_iso': '11774.m', 'p': 61, 'prec': 20, 'unit': 6052430559975841702440764783199099, 'val': 1}
  • id: 511391
    {'lmfdb_iso': '11774.m', 'p': 67, 'prec': 20, 'unit': 15468982438712682221008298406812958, 'val': 1}
  • id: 511401
    {'lmfdb_iso': '11774.m', 'p': 73, 'prec': 20, 'unit': 93500781866270998193934935106068304, 'val': 1}
  • id: 511396
    {'lmfdb_iso': '11774.m', 'p': 79, 'prec': 20, 'unit': 134965603593594237743143465707254620, 'val': 1}
  • id: 511398
    {'lmfdb_iso': '11774.m', 'p': 83, 'prec': 20, 'unit': 631280159070438536429335210459711565, 'val': 1}
  • id: 511402
    {'lmfdb_iso': '11774.m', 'p': 89, 'prec': 20, 'unit': 1218279507234149001307246286524465516, 'val': 1}
  • id: 511390
    {'lmfdb_iso': '11774.m', 'p': 97, 'prec': 20, 'unit': 54204663853535245605877505502452595976, 'val': 1}