Elliptic curve data - 8550.e1

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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': '8550l', 'Clabel': '8550l4', 'Cnumber': 4, 'abc_quality': 1.0022133277172731, 'absD': 20577868349400000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -1682442, 811529716], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 8550, 'degree': 165888, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4731245127131986303285360435', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [46237740924063961, 1806561830400], 'lmfdb_iso': '8550.e', 'lmfdb_label': '8550.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7478, -240952], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.2', '24.24.0.ca.1', '30.24.0-6.a.1.2', '120.48.0.?', '228.24.0.?', '380.6.0.?', '456.48.0.?', '1140.48.0.?', '2280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.55944423902910734998278707294', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 25], [5, 18, 342], [19, 20, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1190994121620935973305337584', 'prec': 100}, 'szpiro_ratio': 6.032998115808154, '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, 0, 0, -2, -1, 0, 0, 0, 0, -2, 2, 0, 1, 0, 0, 1, 0], 'aplist': [-1, 0, 0, -2, 0, -2, 0, 1, 0, 6, 2, -2, 0, -8, 0, 6, 6, 2, 4, 0, -14, 2, 6, 12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 8550, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '8550.e', 'trace_hash': 2088792078834375829}
• 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': '0.0071100285093127543444360857966', 'prec': 110}, 'conductor': 8550, 'gens': [[989, 10193, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.55944423902910734998278707294', 'prec': 103}], 'lmfdb_label': '8550.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21402896621678819172274191387', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8736945312481022792473987309577781521', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[2531, -2531, 2]], 'xcoord_integral_points': [-721, 39, 989, 1445]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '8550.e1'}
• ec_torsion_growth •

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

  
  
  • id: 447406
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '8550.e1', 'torsion': [2, 2]}
  • id: 447407
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '8550.e1', 'torsion': [6]}
  • id: 447409
    {'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '8550.e1', 'torsion': [2, 6]}
  • id: 447408
    {'degree': 4, 'field': [54, 0, 11, 0, 1], 'lmfdb_label': '8550.e1', 'torsion': [4]}
  • id: 447410
    {'degree': 6, 'field': [360, 0, 0, -15, 0, 0, 1], 'lmfdb_label': '8550.e1', 'torsion': [6]}
  • id: 447413
    {'degree': 8, 'field': [821, -422, 476, -106, 49, 2, 4, -4, 1], 'lmfdb_label': '8550.e1', 'torsion': [12]}
  • id: 447411
    {'degree': 8, 'field': [14400, 0, -11520, 0, 696, 0, -48, 0, 1], 'lmfdb_label': '8550.e1', 'torsion': [2, 4]}
  • id: 447412
    {'degree': 8, 'field': [24336, 0, 1968, 0, 313, 0, -2, 0, 1], 'lmfdb_label': '8550.e1', 'torsion': [2, 4]}
  • id: 447414
    {'degree': 12, 'field': [1936, 264, 696, -1850, 765, 144, 51, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '8550.e1', 'torsion': [3, 6]}
  • id: 447415
    {'degree': 12, 'field': [179776, -305280, 217536, -47280, -15240, 7200, 1145, 1620, 60, -30, 6, 0, 1], 'lmfdb_label': '8550.e1', 'torsion': [2, 6]}
  • id: 447417
    {'degree': 16, 'field': [112225, 0, -471060, 0, 380674, 0, -206712, 0, 49755, 0, -840, 0, -350, 0, -12, 0, 1], 'lmfdb_label': '8550.e1', 'torsion': [2, 12]}
  • id: 447418
    {'degree': 16, 'field': [8122500, 0, 4788000, -1083000, 1678600, -313200, 381000, -73060, 45389, -5548, 3752, -532, 234, -60, 32, -8, 1], 'lmfdb_label': '8550.e1', 'torsion': [2, 12]}
  • id: 447416
    {'degree': 16, 'field': [1135420416, 0, -462454272, 0, 391055040, 0, -62016192, 0, 6507864, 0, -284328, 0, 6585, 0, -108, 0, 1], 'lmfdb_label': '8550.e1', 'torsion': [8]}
  • id: 447419
    {'degree': 18, 'field': [-2652638400, -655711200, 494869500, -401899950, -412575525, 5167800, 114119520, 45500130, 7520445, -2005680, -773595, -202770, -35111, 11556, 3681, -156, -102, 0, 1], 'lmfdb_label': '8550.e1', '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: 178494
    {'conductor': 8550, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '8550.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 178495
    {'conductor': 8550, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '8550.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 178496
    {'conductor': 8550, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '8550.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 178497
    {'conductor': 8550, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '8550.e1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 1720573
    {'adelic_gens': [[11, 2, 2230, 2271], [1823, 2268, 1818, 2207], [10, 3, 1113, 2272], [2269, 12, 2268, 13], [1, 0, 12, 1], [370, 2277, 1547, 8], [1, 6, 6, 37], [666, 1057, 1805, 2186], [1, 12, 0, 1], [1921, 12, 126, 73]], 'adelic_image': '2280.96.1.?', 'conductor': 8550, 'lmfdb_label': '8550.e1', 'prime': 0}
  • id: 41969
    {'conductor': 8550, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8550.e1', 'modell_image': '2B', 'prime': 2}
  • id: 41970
    {'conductor': 8550, 'elladic_image': '3.4.0.1', 'lmfdb_label': '8550.e1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 353940
    {'lmfdb_iso': '8550.e', 'p': 7, 'prec': 20, 'unit': 2863742168959668, 'val': 1}
  • id: 353944
    {'lmfdb_iso': '8550.e', 'p': 13, 'prec': 20, 'unit': 298327846416722555203, 'val': 1}
  • id: 353943
    {'lmfdb_iso': '8550.e', 'p': 29, 'prec': 20, 'unit': 404426314198450484953196051, 'val': 1}
  • id: 353951
    {'lmfdb_iso': '8550.e', 'p': 31, 'prec': 20, 'unit': 9306619622081178724920317066, 'val': 1}
  • id: 353939
    {'lmfdb_iso': '8550.e', 'p': 37, 'prec': 20, 'unit': 426389439233352826675293398102, 'val': 1}
  • id: 353942
    {'lmfdb_iso': '8550.e', 'p': 43, 'prec': 20, 'unit': 7709147657835556891828898614198, 'val': 1}
  • id: 353947
    {'lmfdb_iso': '8550.e', 'p': 53, 'prec': 20, 'unit': 241539037682781386510367834417010, 'val': 1}
  • id: 353949
    {'lmfdb_iso': '8550.e', 'p': 59, 'prec': 20, 'unit': 985951768227081841631414626609343, 'val': 1}
  • id: 353950
    {'lmfdb_iso': '8550.e', 'p': 61, 'prec': 20, 'unit': 7788138169343772841262863493365130, 'val': 1}
  • id: 353938
    {'lmfdb_iso': '8550.e', 'p': 67, 'prec': 20, 'unit': 9943793547878946610961355728377846, 'val': 1}
  • id: 353941
    {'lmfdb_iso': '8550.e', 'p': 73, 'prec': 20, 'unit': 186955030649576804420069661780656707, 'val': 1}
  • id: 353945
    {'lmfdb_iso': '8550.e', 'p': 79, 'prec': 20, 'unit': 632849928169164234021819949224877469, 'val': 1}
  • id: 353946
    {'lmfdb_iso': '8550.e', 'p': 83, 'prec': 20, 'unit': 851008631703897766399864424855270592, 'val': 1}
  • id: 353948
    {'lmfdb_iso': '8550.e', 'p': 89, 'prec': 20, 'unit': 1509937867593317051855599926662177278, 'val': 1}
  • id: 353937
    {'lmfdb_iso': '8550.e', 'p': 97, 'prec': 20, 'unit': 15923287032056138295947819660438029725, 'val': 1}