Elliptic curve data - 98736.ca3

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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': '98736by', 'Clabel': '98736by3', 'Cnumber': 3, 'abc_quality': 1.0176943714578126, 'absD': 149659987558453919900762112, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1496, 'ainvs': [0, -1, 0, -158765592, -969128811792], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 98736, 'degree': 30965760, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7343625311649807176701606273', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2, 4], 'jinv': [-60992553706117024753, 20624795251201152], 'lmfdb_iso': '98736.ca', 'lmfdb_label': '98736.ca3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -82007, -11384343], 'min_quad_twist_disc': 44, '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.1.2', '88.24.0.?', '136.24.0.?', '1496.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '25.277706250606063416398409600', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8422677142058501362219567169', 'prec': 100}, 'szpiro_ratio': 5.975770178844955, '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, 2, 0, 4, 0, 1, 0, 0, 0, 2, 0, -2, 0, -1, 0, -4, 0], 'aplist': [0, -1, 2, 4, 0, 2, -1, -4, 4, -2, 4, -6, 6, -4, 0, 6, -4, 6, 4, -4, -10, 4, 12, -6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 98736, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '98736.ca', 'trace_hash': 1700665103832486708}
• 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': '0.00057065538332903577361067186525', 'prec': 113}, 'conductor': 98736, 'gens': [[390324287289036, 7669573717210086830016, 56105]], 'heights': [{'__RealLiteral__': 0, 'data': '25.277706250606063416398409600', 'prec': 100}], 'lmfdb_label': '98736.ca3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.020907992644584328736468111612', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.4560975417541581536973469598731594656', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[14953, 0, 1]], 'xcoord_integral_points': [14953]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '98736.ca3'}
• ec_torsion_growth •

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

  
  
  • id: 4588998
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '98736.ca3', 'torsion': [4]}
  • id: 4588997
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '98736.ca3', 'torsion': [2, 2]}
  • id: 4588999
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '98736.ca3', 'torsion': [4]}
  • id: 4589000
    {'degree': 4, 'field': [3, -10, 11, -2, 1], 'lmfdb_label': '98736.ca3', 'torsion': [2, 4]}
  • id: 4589004
    {'degree': 8, 'field': [-610203, 0, -6380, 0, -2706, 0, 0, 0, 1], 'lmfdb_label': '98736.ca3', 'torsion': [6]}
  • id: 4589002
    {'degree': 8, 'field': [-10791, -4488, -1624, 1904, 1054, -136, -72, 0, 1], 'lmfdb_label': '98736.ca3', 'torsion': [8]}
  • id: 4589003
    {'degree': 8, 'field': [603, -1602, 1638, -66, 19, 14, 0, -4, 1], 'lmfdb_label': '98736.ca3', 'torsion': [8]}
  • id: 4589001
    {'degree': 8, 'field': [2641, 1608, -408, 240, 230, -24, 24, 0, 1], 'lmfdb_label': '98736.ca3', 'torsion': [2, 4]}
  • id: 4589007
    {'degree': 16, 'field': [22993, 740, -92642, 110120, 193088, -490744, 528342, -403192, 223709, -97568, 36018, -10136, 2660, -476, 88, -8, 1], 'lmfdb_label': '98736.ca3', 'torsion': [2, 8]}
  • id: 4589005
    {'degree': 16, 'field': [29241, -61560, 144288, -203256, 223632, -231048, 241896, -191856, 117841, -57416, 23020, -7208, 1990, -392, 76, -8, 1], 'lmfdb_label': '98736.ca3', 'torsion': [4, 4]}
  • id: 4589006
    {'degree': 16, 'field': [662409, -698808, 1202672, -1148152, 963488, -582920, 412744, -241904, 136209, -62376, 25068, -7784, 2086, -392, 76, -8, 1], 'lmfdb_label': '98736.ca3', 'torsion': [2, 8]}
  • id: 4589010
    {'degree': 16, 'field': [259822161, 0, 109760184, 0, 23235012, 0, 2870640, 0, 225078, 0, 8056, 0, 84, 0, 0, 0, 1], 'lmfdb_label': '98736.ca3', 'torsion': [12]}
  • id: 4589009
    {'degree': 16, 'field': [671276281, 0, 532126612, 0, 188147452, 0, -73011012, 0, 3184782, 0, -5892, 0, -884, 0, -44, 0, 1], 'lmfdb_label': '98736.ca3', 'torsion': [12]}
  • id: 4589008
    {'degree': 16, 'field': [1412932921, 0, 333861988, 0, 1749629692, 0, -36742388, 0, -375218, 0, 84652, 0, -884, 0, 4, 0, 1], 'lmfdb_label': '98736.ca3', '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: 2422956
    {'conductor': 98736, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '98736.ca3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2422957
    {'conductor': 98736, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '98736.ca3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2422958
    {'conductor': 98736, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '98736.ca3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2422959
    {'conductor': 98736, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '98736.ca3', 'prime': 17, '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: 2313283
    {'adelic_gens': [[1087, 0, 0, 1495], [1057, 1232, 1100, 441], [496, 297, 451, 166], [1, 0, 8, 1], [560, 77, 693, 120], [1489, 8, 1488, 9], [7, 6, 1490, 1491], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '1496.48.0.?', 'conductor': 98736, 'lmfdb_label': '98736.ca3', 'prime': 0}
  • id: 397423
    {'conductor': 98736, 'elladic_image': '8.12.0.16', 'lmfdb_label': '98736.ca3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5136693
    {'lmfdb_iso': '98736.ca', 'p': 5, 'prec': 20, 'unit': 4303433136472, 'val': 1}
  • id: 5136694
    {'lmfdb_iso': '98736.ca', 'p': 7, 'prec': 20, 'unit': 973418707136854, 'val': 1}
  • id: 5136699
    {'lmfdb_iso': '98736.ca', 'p': 13, 'prec': 20, 'unit': 753121152851608893689, 'val': 1}
  • id: 5136690
    {'lmfdb_iso': '98736.ca', 'p': 19, 'prec': 20, 'unit': 912283746466202882031953, 'val': 1}
  • id: 5136704
    {'lmfdb_iso': '98736.ca', 'p': 23, 'prec': 20, 'unit': 71970319153186965394030999, 'val': 1}
  • id: 5136698
    {'lmfdb_iso': '98736.ca', 'p': 29, 'prec': 20, 'unit': 236606345871896957501402506, 'val': 1}
  • id: 5136695
    {'lmfdb_iso': '98736.ca', 'p': 31, 'prec': 20, 'unit': 10135012456032264246244722057, 'val': 1}
  • id: 5136709
    {'lmfdb_iso': '98736.ca', 'p': 37, 'prec': 20, 'unit': 516187443222596127723300857499, 'val': 1}
  • id: 5136696
    {'lmfdb_iso': '98736.ca', 'p': 41, 'prec': 20, 'unit': 2904615699311864229020498396198, 'val': 1}
  • id: 5136697
    {'lmfdb_iso': '98736.ca', 'p': 43, 'prec': 20, 'unit': 3820203357771460041307686412523, 'val': 1}
  • id: 5136702
    {'lmfdb_iso': '98736.ca', 'p': 53, 'prec': 20, 'unit': 270843261262536204099051676578057, 'val': 1}
  • id: 5136707
    {'lmfdb_iso': '98736.ca', 'p': 59, 'prec': 20, 'unit': 2759429114228104977576134530188190, 'val': 1}
  • id: 5136708
    {'lmfdb_iso': '98736.ca', 'p': 61, 'prec': 20, 'unit': 6777504721093234216840816504555718, 'val': 1}
  • id: 5136692
    {'lmfdb_iso': '98736.ca', 'p': 67, 'prec': 20, 'unit': 23697093263495728634848172122261329, 'val': 1}
  • id: 5136706
    {'lmfdb_iso': '98736.ca', 'p': 71, 'prec': 20, 'unit': 147509309478419613086276909938687161, 'val': 1}
  • id: 5136703
    {'lmfdb_iso': '98736.ca', 'p': 73, 'prec': 20, 'unit': 195429710732643787494434065329214860, 'val': 1}
  • id: 5136700
    {'lmfdb_iso': '98736.ca', 'p': 79, 'prec': 20, 'unit': 626396078973635887328657305511543012, 'val': 1}
  • id: 5136701
    {'lmfdb_iso': '98736.ca', 'p': 83, 'prec': 20, 'unit': 4202030166322742022694920569200436, 'val': 2}
  • id: 5136705
    {'lmfdb_iso': '98736.ca', 'p': 89, 'prec': 20, 'unit': 8207976696138228886412734132570807243, 'val': 1}
  • id: 5136691
    {'lmfdb_iso': '98736.ca', 'p': 97, 'prec': 20, 'unit': 21796962878609678862837813632062000438, 'val': 1}