Elliptic curve data - 13794.j3

Formats: - HTML - YAML - JSON - 2024-05-09T10:17:02.747856

• 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': '13794f', 'Clabel': '13794f4', 'Cnumber': 4, 'abc_quality': 1.0442736790304261, 'absD': 3926228305602807072, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5016, 'ainvs': [1, 1, 0, -642754, 219796372], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13794, 'degree': 307200, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3003869199087798643857222311', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [-16576888679672833, 2216253521952], 'lmfdb_iso': '13794.j', 'lmfdb_label': '13794.j3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5312, -167551], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '44.12.0-4.c.1.1', '88.24.0.?', '456.24.0.?', '5016.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8093795775646457115558673580', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1014392835095945923547504421', 'prec': 100}, 'szpiro_ratio': 5.449230502238392, '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, -1, 1, 2, 1, 0, -1, 1, -2, 0, -1, -2, 0, -2, 1, 6, -1, 1, 2], 'aplist': [-1, -1, 2, 0, 0, -2, 6, 1, -4, 2, 4, 10, -10, -4, -4, -10, 12, -14, -12, 8, 6, 4, -12, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 13794, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '13794.j', 'trace_hash': 1951603840283158682}
• 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': '0.010044060242779297930502373659', 'prec': 107}, 'conductor': 13794, 'gens': [[369, 5563, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8093795775646457115558673580', 'prec': 100}], 'lmfdb_label': '13794.j3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24005051173395479499593118284', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4747399481228812441138293769730916831', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-3749, 3749, 2]], 'xcoord_integral_points': [369]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 1], '3': [1, 0], '5': [1, 0], '7': [1, 1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [3, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '13794.j3'}
• ec_torsion_growth •

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

  
  
  • id: 709729
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [4]}
  • id: 709728
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [2, 2]}
  • id: 709730
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [4]}
  • id: 709731
    {'degree': 4, 'field': [25, 0, 12, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [2, 4]}
  • id: 709735
    {'degree': 8, 'field': [-216, 5499, 4412, 1563, 261, -61, -15, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [6]}
  • id: 709732
    {'degree': 8, 'field': [324, 0, 0, 0, 14, 0, 0, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [2, 4]}
  • id: 709733
    {'degree': 8, 'field': [38416, 0, -8388, 0, 617, 0, -30, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [8]}
  • id: 709734
    {'degree': 8, 'field': [857476, 0, 14352, 0, -22, 0, -48, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [8]}
  • id: 709740
    {'degree': 16, 'field': [64, 0, -18763, 0, 22330, 0, -17397, 0, 5739, 0, -1233, 0, 199, 0, -22, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [12]}
  • id: 709736
    {'degree': 16, 'field': [6561, 0, -14580, 0, 16200, 0, -12600, 0, 6079, 0, -1400, 0, 200, 0, -20, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [4, 4]}
  • id: 709738
    {'degree': 16, 'field': [413449, 0, 989952, 0, 716638, 0, 136884, 0, -6753, 0, -3684, 0, 622, 0, -36, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [2, 8]}
  • id: 709741
    {'degree': 16, 'field': [1183744, 0, 992984, 0, 598660, 0, 246744, 0, 60444, 0, 9204, 0, 856, 0, 44, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [12]}
  • id: 709737
    {'degree': 16, 'field': [5151268, 4411296, 39470912, -18700064, 21219352, -9845776, 4170032, -1476800, 673576, -99328, 79184, -4016, 4372, -88, 104, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [2, 8]}
  • id: 709739
    {'degree': 16, 'field': [283316224, 0, -45299576, 0, 10697428, 0, -628208, 0, 19300, 0, 4084, 0, -140, 0, 16, 0, 1], 'lmfdb_label': '13794.j3', 'torsion': [2, 6]}
• 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: 301698
    {'conductor': 13794, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '13794.j3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 301699
    {'conductor': 13794, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '13794.j3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 301700
    {'conductor': 13794, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '13794.j3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 301701
    {'conductor': 13794, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '13794.j3', 'prime': 19, 'reduction_type': 1, '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: 1755662
    {'adelic_gens': [[1673, 2288, 308, 4137], [911, 0, 0, 5015], [3136, 2915, 1771, 2256], [5009, 8, 5008, 9], [1, 0, 8, 1], [2377, 2288, 3124, 4137], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 5010, 5011], [1200, 4169, 3355, 606]], 'adelic_image': '5016.48.0.?', 'conductor': 13794, 'lmfdb_label': '13794.j3', 'prime': 0}
  • id: 65369
    {'conductor': 13794, 'elladic_image': '8.12.0.16', 'lmfdb_label': '13794.j3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 611675
    {'lmfdb_iso': '13794.j', 'p': 5, 'prec': 20, 'unit': 7719772534883, 'val': 1}
  • id: 611681
    {'lmfdb_iso': '13794.j', 'p': 13, 'prec': 20, 'unit': 190089274563900829022, 'val': 1}
  • id: 611683
    {'lmfdb_iso': '13794.j', 'p': 17, 'prec': 20, 'unit': 65271540748887004488822, 'val': 1}
  • id: 611688
    {'lmfdb_iso': '13794.j', 'p': 23, 'prec': 20, 'unit': 508831779131176476397879, 'val': 2}
  • id: 611680
    {'lmfdb_iso': '13794.j', 'p': 29, 'prec': 20, 'unit': 14586421045320792033247431, 'val': 2}
  • id: 611677
    {'lmfdb_iso': '13794.j', 'p': 31, 'prec': 20, 'unit': 17447076972847769601206615619, 'val': 1}
  • id: 611692
    {'lmfdb_iso': '13794.j', 'p': 37, 'prec': 20, 'unit': 93231576402689443557896228983, 'val': 1}
  • id: 611678
    {'lmfdb_iso': '13794.j', 'p': 41, 'prec': 20, 'unit': 2816989110423791677474279517104, 'val': 1}
  • id: 611679
    {'lmfdb_iso': '13794.j', 'p': 43, 'prec': 20, 'unit': 9535871399953818615750168310693, 'val': 1}
  • id: 611690
    {'lmfdb_iso': '13794.j', 'p': 47, 'prec': 20, 'unit': 18945495296008016656410921047367, 'val': 1}
  • id: 611685
    {'lmfdb_iso': '13794.j', 'p': 53, 'prec': 20, 'unit': 152650129770317632454374900563251, 'val': 1}
  • id: 611686
    {'lmfdb_iso': '13794.j', 'p': 59, 'prec': 20, 'unit': 2735485915949488304381073946748311, 'val': 1}
  • id: 611691
    {'lmfdb_iso': '13794.j', 'p': 61, 'prec': 20, 'unit': 4119039256557200393688575683255235, 'val': 1}
  • id: 611674
    {'lmfdb_iso': '13794.j', 'p': 67, 'prec': 20, 'unit': 21505822834488132658728877333206693, 'val': 1}
  • id: 611676
    {'lmfdb_iso': '13794.j', 'p': 71, 'prec': 20, 'unit': 107982827752060114905455838342640678, 'val': 1}
  • id: 611687
    {'lmfdb_iso': '13794.j', 'p': 73, 'prec': 20, 'unit': 26375438056258442506000354382137196, 'val': 1}
  • id: 611682
    {'lmfdb_iso': '13794.j', 'p': 79, 'prec': 20, 'unit': 1110415807805240360434608669608406684, 'val': 1}
  • id: 611684
    {'lmfdb_iso': '13794.j', 'p': 83, 'prec': 20, 'unit': 2625401320317246981658003132488923128, 'val': 1}
  • id: 611689
    {'lmfdb_iso': '13794.j', 'p': 89, 'prec': 20, 'unit': 6152877213099873657811449012973403692, 'val': 1}
  • id: 611673
    {'lmfdb_iso': '13794.j', 'p': 97, 'prec': 20, 'unit': 42799105184049465723294926702396811525, 'val': 1}