Elliptic curve data - 59200.dm1

Formats: - HTML - YAML - JSON - 2024-06-13T03:15:10.191955

• 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': '59200cz', 'Clabel': '59200cz3', 'Cnumber': 3, 'abc_quality': 0.9792442637089362, 'absD': 16597975040000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [0, -1, 0, -8440033, 9440471937], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 59200, 'degree': 1327104, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4879474788769192729102289554', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 90, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16232905099479601, 4052240], 'lmfdb_iso': '59200.dm', 'lmfdb_label': '59200.dm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5275, -147903], 'min_quad_twist_disc': -40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '24.48.0.br.2', '40.12.0-4.b.1.2', '120.96.0.?', '296.12.0.?', '370.6.0.?', '740.24.0.?', '888.96.0.?', '1110.24.0.?', '1480.48.0.?', '2220.96.3.?', '4440.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6606559742651390648333742852', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64350775181995112148400110660', 'prec': 103}, 'szpiro_ratio': 5.410942049712502, '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, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 2, 0, 2, 0, 2, -6, 2, 0, -6, 10, 1, -6, 4, -6, 6, -6, 10, -2, 0, -2, 10, 6, -6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 59200, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '59200.dm', 'trace_hash': 905413130103390833}
• 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': '0.0069023388727239373126842469089', 'prec': 110}, 'conductor': 59200, 'gens': [[15583, 103600, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6606559742651390648333742852', 'prec': 100}], 'lmfdb_label': '59200.dm1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.31170426731366137932930229860', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.9520538523843727039884548102209584026', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[1677, 0, 1]], 'xcoord_integral_points': [1677]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [5, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '59200.dm1'}
• ec_torsion_growth •

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

  
  
  • id: 2846577
    {'degree': 2, 'field': [-46, -1, 1], 'lmfdb_label': '59200.dm1', 'torsion': [2, 2]}
  • id: 2846578
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [6]}
  • id: 2846579
    {'degree': 4, 'field': [185, 0, -16, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [4]}
  • id: 2846580
    {'degree': 4, 'field': [2304, 0, -126, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [2, 6]}
  • id: 2846581
    {'degree': 6, 'field': [10, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [6]}
  • id: 2846584
    {'degree': 8, 'field': [25, 0, 80, 0, 191, 0, -8, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [12]}
  • id: 2846583
    {'degree': 8, 'field': [256, 0, -256, 0, -644, 0, -16, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [2, 4]}
  • id: 2846582
    {'degree': 8, 'field': [256, 0, 0, 0, 153, 0, 0, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [2, 4]}
  • id: 2846585
    {'degree': 12, 'field': [121, -66, -129, 350, -60, -186, 161, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '59200.dm1', 'torsion': [3, 6]}
  • id: 2846586
    {'degree': 12, 'field': [21771556, 0, 6529296, 0, 1364460, 0, 134580, 0, 6120, 0, 126, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [2, 6]}
  • id: 2846587
    {'degree': 16, 'field': [256, 0, 0, 0, 6176, 0, 0, 0, 25441, 0, 0, 0, 386, 0, 0, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [4, 4]}
  • id: 2846589
    {'degree': 16, 'field': [256, 0, 0, 0, 4278048, 0, 0, 0, 70433, 0, 0, 0, 423, 0, 0, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [2, 12]}
  • id: 2846588
    {'degree': 16, 'field': [6553600, 0, 2949120, 0, 390144, 0, -67840, 0, 18896, 0, -784, 0, 161, 0, -8, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [8]}
  • id: 2846590
    {'degree': 16, 'field': [358875136, 0, -1547649024, 0, 1291519040, 0, -187408256, 0, 11289984, 0, -349136, 0, 6720, 0, -104, 0, 1], 'lmfdb_label': '59200.dm1', 'torsion': [2, 12]}
  • id: 2846591
    {'degree': 18, 'field': [-6826910040000, -180967776480000, 85546196280000, 21745840608000, -4169088306000, -2005479972000, 152700984000, 36788968800, -3785456700, -564679440, 78058080, 6001560, -1818161, 34302, 19449, -646, -204, 0, 1], 'lmfdb_label': '59200.dm1', '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: 1425649
    {'conductor': 59200, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '59200.dm1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1425650
    {'conductor': 59200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '59200.dm1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1425651
    {'conductor': 59200, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '59200.dm1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2056918
    {'adelic_gens': [[1, 12, 12, 145], [2648, 4419, 285, 374], [4417, 24, 4416, 25], [7, 24, 492, 1687], [2219, 4416, 2220, 4439], [258, 7, 497, 4400], [1, 24, 0, 1], [1481, 24, 1480, 1], [3329, 4416, 0, 4439], [1, 0, 24, 1], [21, 4, 4340, 4421]], 'adelic_image': '4440.384.9.?', 'conductor': 59200, 'lmfdb_label': '59200.dm1', 'prime': 0}
  • id: 250611
    {'conductor': 59200, 'elladic_image': '4.6.0.3', 'lmfdb_label': '59200.dm1', 'modell_image': '2B', 'prime': 2}
  • id: 250612
    {'conductor': 59200, 'elladic_image': '3.4.0.1', 'lmfdb_label': '59200.dm1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 3006411
    {'lmfdb_iso': '59200.dm', 'p': 7, 'prec': 20, 'unit': 9997978254211236, 'val': 1}
  • id: 3006415
    {'lmfdb_iso': '59200.dm', 'p': 13, 'prec': 20, 'unit': 131373578573712475880, 'val': 1}
  • id: 3006417
    {'lmfdb_iso': '59200.dm', 'p': 17, 'prec': 20, 'unit': 6828203658134335615544, 'val': 2}
  • id: 3006418
    {'lmfdb_iso': '59200.dm', 'p': 19, 'prec': 20, 'unit': 1545841729243975586122271, 'val': 1}
  • id: 3006414
    {'lmfdb_iso': '59200.dm', 'p': 29, 'prec': 20, 'unit': 2331917546345857792805075244, 'val': 1}
  • id: 3006425
    {'lmfdb_iso': '59200.dm', 'p': 31, 'prec': 20, 'unit': 20705461877127054375679032550, 'val': 1}
  • id: 3006412
    {'lmfdb_iso': '59200.dm', 'p': 41, 'prec': 20, 'unit': 1749157323269021845169911152033, 'val': 1}
  • id: 3006413
    {'lmfdb_iso': '59200.dm', 'p': 43, 'prec': 20, 'unit': 1447771454864749779787643632740, 'val': 1}
  • id: 3006423
    {'lmfdb_iso': '59200.dm', 'p': 47, 'prec': 20, 'unit': 6285301085230808648629190325441, 'val': 1}
  • id: 3006419
    {'lmfdb_iso': '59200.dm', 'p': 53, 'prec': 20, 'unit': 538801607639331822289530826220386, 'val': 1}
  • id: 3006420
    {'lmfdb_iso': '59200.dm', 'p': 59, 'prec': 20, 'unit': 2002451464669953928739505548787978, 'val': 1}
  • id: 3006424
    {'lmfdb_iso': '59200.dm', 'p': 61, 'prec': 20, 'unit': 3607679864402829300909557000066550, 'val': 1}
  • id: 3006410
    {'lmfdb_iso': '59200.dm', 'p': 67, 'prec': 20, 'unit': 8087106578522926732656721299682424, 'val': 1}
  • id: 3006421
    {'lmfdb_iso': '59200.dm', 'p': 73, 'prec': 20, 'unit': 208456185275161388803787728908219260, 'val': 1}
  • id: 3006416
    {'lmfdb_iso': '59200.dm', 'p': 79, 'prec': 20, 'unit': 144731037515698003932013004840506412, 'val': 1}
  • id: 3006409
    {'lmfdb_iso': '59200.dm', 'p': 83, 'prec': 20, 'unit': 1359307897465666964917932639665331399, 'val': 1}
  • id: 3006422
    {'lmfdb_iso': '59200.dm', 'p': 89, 'prec': 20, 'unit': 2352685559513138430787347081525270240, 'val': 1}
  • id: 3006408
    {'lmfdb_iso': '59200.dm', 'p': 97, 'prec': 20, 'unit': 12694787233694465138432083812253052083, 'val': 1}