Elliptic curve data - 10010.c3

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '10010a', 'Clabel': '10010a4', 'Cnumber': 4, 'abc_quality': 0.9600449066666907, 'absD': 2999928960118090, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, -1, 0, -48935, -4917745], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10010, 'degree': 57344, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6892925613338431432234976717', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [-12959477208091719369, 2999928960118090], 'lmfdb_iso': '10010.c', 'lmfdb_label': '10010.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -48935, -4917745], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '20.12.0-4.c.1.1', '40.24.0-40.s.1.4', '104.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.8364684915498885101100859991', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 5], [5, 6, 2002], [7, 8, 1430], [11, 12, 910], [13, 14, 770]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6892925613338431432234976717', 'prec': 100}, 'szpiro_ratio': 4.814156966992685, '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, 0, 1, -1, 0, -1, -1, -3, 1, -1, 0, -1, 1, 0, 1, -6, 3, 4, -1], 'aplist': [-1, 0, -1, -1, -1, -1, -6, 4, 0, 6, 4, -6, 2, 8, 8, -6, 4, -2, 4, 12, -10, 0, 12, -6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 10010, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '10010.c', 'trace_hash': 364338115141069789}
• 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': '0.034095661802027729870380611629', 'prec': 107}, 'conductor': 10010, 'gens': [[22177, 969551, 9]], 'heights': [{'__RealLiteral__': 0, 'data': '7.8364684915498885101100859991', 'prec': 100}], 'lmfdb_label': '10010.c3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15854812278555241207576496090', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4849147372067288365601568293731550008', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[1043, -1043, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 2], '3': [1, 1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10010.c3'}
• ec_torsion_growth •

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

  
  
  • id: 519176
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '10010.c3', 'torsion': [4]}
  • id: 519177
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '10010.c3', 'torsion': [4]}
  • id: 519175
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '10010.c3', 'torsion': [2, 2]}
  • id: 519178
    {'degree': 4, 'field': [9, 0, 4, 0, 1], 'lmfdb_label': '10010.c3', 'torsion': [2, 4]}
  • id: 519182
    {'degree': 8, 'field': [-2552, 3005, -2858, -295, 151, -7, 7, -4, 1], 'lmfdb_label': '10010.c3', 'torsion': [6]}
  • id: 519181
    {'degree': 8, 'field': [196, -140, -82, 80, 14, -10, -3, 0, 1], 'lmfdb_label': '10010.c3', 'torsion': [8]}
  • id: 519180
    {'degree': 8, 'field': [139876, 0, -79664, 0, 1956, 0, 104, 0, 1], 'lmfdb_label': '10010.c3', 'torsion': [8]}
  • id: 519179
    {'degree': 8, 'field': [243531, -7836, 8822, -1968, 975, 8, 2, -4, 1], 'lmfdb_label': '10010.c3', 'torsion': [2, 4]}
  • id: 519184
    {'degree': 16, 'field': [38416, 0, 52528, 0, 26100, 0, 11408, 0, 4584, 0, 1192, 0, 205, 0, 22, 0, 1], 'lmfdb_label': '10010.c3', 'torsion': [2, 8]}
  • id: 519187
    {'degree': 16, 'field': [46546414, 27054656, -16885123, -19308108, 6909260, 3767314, -2059193, 715776, -210251, 16926, 379, -1840, 155, 42, 14, -8, 1], 'lmfdb_label': '10010.c3', 'torsion': [12]}
  • id: 519188
    {'degree': 16, 'field': [348399294, -110423370, 99487917, 20202300, -5594070, -6347532, 3680331, -1343232, 346375, -19460, 16927, -7916, 2017, -350, 70, -8, 1], 'lmfdb_label': '10010.c3', 'torsion': [12]}
  • id: 519186
    {'degree': 16, 'field': [2803830634, 329131280, -443821123, 221362500, -89560600, -28411022, 14730151, -4817472, 1614025, -310050, 100147, -22336, 5027, -630, 110, -8, 1], 'lmfdb_label': '10010.c3', 'torsion': [2, 6]}
  • id: 519183
    {'degree': 16, 'field': [3603000625, 0, 0, 0, 0, 0, 0, 0, 2040850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10010.c3', 'torsion': [4, 4]}
  • id: 519185
    {'degree': 16, 'field': [37822859361, 0, 8538493824, 0, 2528041712, 0, 303870560, 0, 17829826, 0, 658560, 0, 18032, 0, 224, 0, 1], 'lmfdb_label': '10010.c3', 'torsion': [2, 8]}
• 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: 211624
    {'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10010.c3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 211625
    {'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10010.c3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 211626
    {'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '10010.c3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 211627
    {'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '10010.c3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 211628
    {'conductor': 10010, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10010.c3', 'prime': 13, '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: 1730165
    {'adelic_gens': [[41, 8, 164, 33], [513, 8, 512, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [216, 3, 5, 2], [328, 73, 187, 174], [7, 6, 514, 515], [456, 203, 459, 488]], 'adelic_image': '520.48.0.?', 'conductor': 10010, 'lmfdb_label': '10010.c3', 'prime': 0}
  • id: 48352
    {'conductor': 10010, 'elladic_image': '8.12.0.8', 'lmfdb_label': '10010.c3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 422587
    {'lmfdb_iso': '10010.c', 'p': 17, 'prec': 20, 'unit': 92711894140660185666710, 'val': 1}
  • id: 422578
    {'lmfdb_iso': '10010.c', 'p': 19, 'prec': 20, 'unit': 947933604644346487879569, 'val': 1}
  • id: 422585
    {'lmfdb_iso': '10010.c', 'p': 29, 'prec': 20, 'unit': 5750507137430856741919660925, 'val': 1}
  • id: 422594
    {'lmfdb_iso': '10010.c', 'p': 31, 'prec': 20, 'unit': 18940899523527791156740606532, 'val': 1}
  • id: 422581
    {'lmfdb_iso': '10010.c', 'p': 37, 'prec': 20, 'unit': 567145408952994425349227060696, 'val': 1}
  • id: 422583
    {'lmfdb_iso': '10010.c', 'p': 41, 'prec': 20, 'unit': 3963996684888479363841357267764, 'val': 1}
  • id: 422584
    {'lmfdb_iso': '10010.c', 'p': 43, 'prec': 20, 'unit': 1825129051944799284153353075911, 'val': 1}
  • id: 422586
    {'lmfdb_iso': '10010.c', 'p': 47, 'prec': 20, 'unit': 53791690684324179203703621668564, 'val': 1}
  • id: 422589
    {'lmfdb_iso': '10010.c', 'p': 53, 'prec': 20, 'unit': 269791146443263480582154959310190, 'val': 1}
  • id: 422592
    {'lmfdb_iso': '10010.c', 'p': 59, 'prec': 20, 'unit': 839968956682795393887590843019828, 'val': 1}
  • id: 422593
    {'lmfdb_iso': '10010.c', 'p': 61, 'prec': 20, 'unit': 7388651518939583417515315512395999, 'val': 1}
  • id: 422580
    {'lmfdb_iso': '10010.c', 'p': 67, 'prec': 20, 'unit': 36003698695782771244048375744566201, 'val': 1}
  • id: 422582
    {'lmfdb_iso': '10010.c', 'p': 71, 'prec': 20, 'unit': 45514732664630611430083628128372569, 'val': 1}
  • id: 422590
    {'lmfdb_iso': '10010.c', 'p': 73, 'prec': 20, 'unit': 107969866042609788672856056734920710, 'val': 1}
  • id: 422588
    {'lmfdb_iso': '10010.c', 'p': 83, 'prec': 20, 'unit': 1228096586390197054897657872768891848, 'val': 1}
  • id: 422591
    {'lmfdb_iso': '10010.c', 'p': 89, 'prec': 20, 'unit': 8394366373529502461744124949153761636, 'val': 1}
  • id: 422579
    {'lmfdb_iso': '10010.c', 'p': 97, 'prec': 20, 'unit': 32505306362263168855998881560070143479, 'val': 1}