Elliptic curve data - 90774.s3

Formats: - HTML - YAML - JSON - 2024-05-01T06:50:17.788794

• 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': '90774bd', 'Clabel': '90774bd1', 'Cnumber': 1, 'abc_quality': 1.198754152359422, 'absD': 1026022516056, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 2952, 'ainvs': [1, -1, 1, 2206, -28551], 'analytic_rank': 1, 'bad_primes': [2, 3, 41], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 90774, 'degree': 138240, 'elladic_images': ['9.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99227546091818788921188938306', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 3], 'jinv': [9261, 8], 'lmfdb_iso': '90774.s', 'lmfdb_label': '90774.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 12, 8], 'min_quad_twist_disc': -123, 'modell_images': ['3Cs'], 'modm_images': ['3.12.0.a.1', '9.36.0.a.1', '24.24.1.ci.1', '72.72.3.?', '123.24.0.?', '369.72.0.?', '984.48.1.?', '2952.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0208075904502198789348026559', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1391636446009934355703036127', 'prec': 103}, 'szpiro_ratio': 3.040508658644272, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 1, -3, 0, 1, 1, 0, -3, -3, 0, 4, 1, 0, 1, 0, 0, -2, -3], 'aplist': [1, 0, -3, 1, -3, 4, 0, -2, 6, 6, 5, 2, 0, -10, 6, 9, -12, 8, -14, 0, -7, -8, 3, -18, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 90774, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '90774.s', 'trace_hash': 144177085694187334}
• 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': '0.13744232260578981314887913856', 'prec': 103}, 'conductor': 90774, 'gens': [[1099, 37001, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0208075904502198789348026559', 'prec': 100}], 'lmfdb_label': '90774.s3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48282142192863076543209880536', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7510636971638563399157866980030605739', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': 'a', '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '90774.s3'}
• ec_torsion_growth •

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

  
  
  • id: 4238762
    {'degree': 2, 'field': [-10, -1, 1], 'lmfdb_label': '90774.s3', 'torsion': [3]}
  • id: 4238763
    {'degree': 2, 'field': [31, -1, 1], 'lmfdb_label': '90774.s3', 'torsion': [3]}
  • id: 4238764
    {'degree': 3, 'field': [-2, 3, 0, 1], 'lmfdb_label': '90774.s3', 'torsion': [2]}
  • id: 4238765
    {'degree': 4, 'field': [100, 10, 11, -1, 1], 'lmfdb_label': '90774.s3', 'torsion': [3, 3]}
  • id: 4238768
    {'degree': 6, 'field': [-1648, -450, 294, 43, -21, -3, 1], 'lmfdb_label': '90774.s3', 'torsion': [6]}
  • id: 4238767
    {'degree': 6, 'field': [-934, -426, 276, 55, -27, -3, 1], 'lmfdb_label': '90774.s3', 'torsion': [9]}
  • id: 4238766
    {'degree': 6, 'field': [6, 0, -3, 0, 0, 0, 1], 'lmfdb_label': '90774.s3', 'torsion': [2, 2]}
  • id: 4238769
    {'degree': 6, 'field': [9573, -6849, 1716, 63, -30, -3, 1], 'lmfdb_label': '90774.s3', 'torsion': [6]}
  • id: 4238770
    {'degree': 12, 'field': [-142891682, -11325156, -13424424, -8880620, 1448163, 188574, 308790, 8778, 21966, -866, 258, -6, 1], 'lmfdb_label': '90774.s3', 'torsion': [4]}
  • id: 4238771
    {'degree': 12, 'field': [575683, 125880, -417921, -27320, 142752, 1764, -23113, 12, 1836, -4, -69, 0, 1], 'lmfdb_label': '90774.s3', 'torsion': [3, 6]}
  • id: 4238772
    {'degree': 12, 'field': [946024, 603120, -445140, -295720, 98754, 54804, -11575, -5382, 909, 280, -45, -6, 1], 'lmfdb_label': '90774.s3', 'torsion': [2, 6]}
  • id: 4238773
    {'degree': 12, 'field': [64995844, 0, -19943886, 0, 2572089, 0, -174404, 0, 6498, 0, -126, 0, 1], 'lmfdb_label': '90774.s3', 'torsion': [2, 6]}
  • id: 4238775
    {'degree': 18, 'field': [-3128383576, -656758104, 1911429156, 383368434, -560173470, -106671258, 102136110, 17960994, -12693588, -1992629, 1114191, 148662, -69174, -7296, 2940, 216, -78, -3, 1], 'lmfdb_label': '90774.s3', 'torsion': [18]}
  • id: 4238774
    {'degree': 18, 'field': [62146192681, 0, 0, -681900483, 0, 0, 21697935, 0, 0, -399580, 0, 0, 4263, 0, 0, -84, 0, 0, 1], 'lmfdb_label': '90774.s3', 'torsion': [9]}
• 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: 2218980
    {'conductor': 90774, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '90774.s3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2218981
    {'conductor': 90774, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '90774.s3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2218982
    {'conductor': 90774, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '90774.s3', 'prime': 41, 'reduction_type': 0, '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: 2261302
    {'adelic_gens': [[2297, 2214, 2583, 739], [1, 18, 0, 1], [1511, 0, 0, 2951], [1, 9, 9, 82], [1, 6, 6, 37], [2215, 738, 0, 1], [1, 0, 18, 1], [1, 12, 0, 1], [1477, 738, 1845, 739], [2935, 18, 2934, 19]], 'adelic_image': '2952.144.3.?', 'conductor': 90774, 'lmfdb_label': '90774.s3', 'prime': 0}
  • id: 368086
    {'conductor': 90774, 'elladic_image': '9.36.0.1', 'lmfdb_label': '90774.s3', 'modell_image': '3Cs', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4700367
    {'lmfdb_iso': '90774.s', 'p': 5, 'prec': 20, 'unit': 1515779861881, 'val': 1}
  • id: 4700368
    {'lmfdb_iso': '90774.s', 'p': 7, 'prec': 20, 'unit': 31246613813746806, 'val': -1}
  • id: 4700366
    {'lmfdb_iso': '90774.s', 'p': 11, 'prec': 20, 'unit': 16915907635380938141, 'val': 1}
  • id: 4700373
    {'lmfdb_iso': '90774.s', 'p': 13, 'prec': 20, 'unit': 3776929254510442982, 'val': 3}
  • id: 4700376
    {'lmfdb_iso': '90774.s', 'p': 19, 'prec': 20, 'unit': 99249908836835314665677, 'val': 1}
  • id: 4700378
    {'lmfdb_iso': '90774.s', 'p': 23, 'prec': 20, 'unit': 2997986442406268732945971, 'val': 1}
  • id: 4700372
    {'lmfdb_iso': '90774.s', 'p': 29, 'prec': 20, 'unit': 100374518750282939207715972, 'val': 2}
  • id: 4700369
    {'lmfdb_iso': '90774.s', 'p': 31, 'prec': 20, 'unit': 13330355789243762545703549464, 'val': 1}
  • id: 4700383
    {'lmfdb_iso': '90774.s', 'p': 37, 'prec': 20, 'unit': 592316992402872206461591123831, 'val': 1}
  • id: 4700371
    {'lmfdb_iso': '90774.s', 'p': 43, 'prec': 20, 'unit': 1029449981708200155597050133143, 'val': 1}
  • id: 4700381
    {'lmfdb_iso': '90774.s', 'p': 47, 'prec': 20, 'unit': 12836190672721131755048639633626, 'val': 1}
  • id: 4700377
    {'lmfdb_iso': '90774.s', 'p': 53, 'prec': 20, 'unit': 382926973862252389814726893140936, 'val': 1}
  • id: 4700375
    {'lmfdb_iso': '90774.s', 'p': 59, 'prec': 20, 'unit': 2343765603628649801543403979037933, 'val': 1}
  • id: 4700382
    {'lmfdb_iso': '90774.s', 'p': 61, 'prec': 20, 'unit': 1016908188805688859720498620281344, 'val': 1}
  • id: 4700365
    {'lmfdb_iso': '90774.s', 'p': 67, 'prec': 20, 'unit': 22375084702939408950723380953182691, 'val': 1}
  • id: 4700370
    {'lmfdb_iso': '90774.s', 'p': 73, 'prec': 20, 'unit': 111790816452354917711813945324948317, 'val': 1}
  • id: 4700374
    {'lmfdb_iso': '90774.s', 'p': 79, 'prec': 20, 'unit': 233409959813676577061571626184447795, 'val': 1}
  • id: 4700379
    {'lmfdb_iso': '90774.s', 'p': 83, 'prec': 20, 'unit': 2805343110882478901384609055594851127, 'val': 1}
  • id: 4700380
    {'lmfdb_iso': '90774.s', 'p': 89, 'prec': 20, 'unit': 6787449409472325985386607952831858577, 'val': 1}
  • id: 4700364
    {'lmfdb_iso': '90774.s', 'p': 97, 'prec': 20, 'unit': 2615336474202152525428978521117036479495, 'val': -1}