Elliptic curve data - 389550.fl2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '389550fl', 'Clabel': '389550fl1', 'Cnumber': 1, 'abc_quality': 0.8634706032711885, 'absD': 631597002060937500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 6360, 'ainvs': [1, 1, 1, -163563, 45869781], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 389550, 'degree': 6193152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1085588529934807863477488632', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 141, 'isogeny_degrees': [1, 2], 'jinv': [-263251475929, 343583100], 'lmfdb_iso': '389550.fl', 'lmfdb_label': '389550.fl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -133, -1127], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '318.6.0.?', '6360.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.1890223990221736692112384926', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 194775], [3, 4, 129850], [5, 18, 15582], [7, 32, 7950], [53, 54, 7350]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33088482224877394649469282487', 'prec': 103}, 'szpiro_ratio': 3.7916341490205268, '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, 0, -1, 0, 1, 1, 0, 6, -1, 2, 0, 0, 1, 0, 1, -6, 0], 'aplist': [1, -1, 0, 0, 6, 2, 0, -6, 4, 0, 4, -6, -6, -4, 2, -1, -10, 4, -8, 0, 8, 4, -4, -10, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 389550, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '389550.fl', 'trace_hash': 1891343666826260716}
• 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': '0.014741071434027718425255789438', 'prec': 107}, 'conductor': 389550, 'gens': [[32395, 5317207, 6]], 'heights': [{'__RealLiteral__': 0, 'data': '6.1890223990221736692112384926', 'prec': 100}], 'lmfdb_label': '389550.fl2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26045505507667158822152305243', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.895697358464594928844606112020068684', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-505, 252, 1]], 'xcoord_integral_points': [-505]}
• lmfdb_label 389550.fl2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16109545
    {'degree': 2, 'field': [40, -1, 1], 'lmfdb_label': '389550.fl2', 'torsion': [2, 2]}
  • id: 16109546
    {'degree': 4, 'field': [-486, -4, 5, -2, 1], 'lmfdb_label': '389550.fl2', 'torsion': [4]}
  • id: 16109549
    {'degree': 8, 'field': [-2677204, 240544, -246148, 11207, -5600, -7, 7, -4, 1], 'lmfdb_label': '389550.fl2', 'torsion': [6]}
  • id: 16109548
    {'degree': 8, 'field': [57600, 67200, 44080, -12800, 1394, -284, 5, -2, 1], 'lmfdb_label': '389550.fl2', 'torsion': [2, 4]}
  • id: 16109547
    {'degree': 8, 'field': [913024, 1264256, 1917728, 41600, 56410, 2902, 107, -2, 1], 'lmfdb_label': '389550.fl2', 'torsion': [2, 4]}
  • id: 16109551
    {'degree': 16, 'field': [224823912336, 0, -325791652512, 0, 78640257808, 0, 49272553911, 0, 747721170, 0, 3932831, 0, 33033, 0, 318, 0, 1], 'lmfdb_label': '389550.fl2', 'torsion': [2, 6]}
  • id: 16109550
    {'degree': 16, 'field': [1246557311616, -231796525056, -568302408320, 122164002944, 72381085120, -20538892160, -2282417968, 1117422256, -50225338, -9960752, -1777072, 540392, -28007, -1180, -146, -4, 1], 'lmfdb_label': '389550.fl2', 'torsion': [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: 9640960
    {'conductor': 389550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '389550.fl2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9640961
    {'conductor': 389550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '389550.fl2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9640962
    {'conductor': 389550, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '389550.fl2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9640963
    {'conductor': 389550, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '389550.fl2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9640964
    {'conductor': 389550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '389550.fl2', 'prime': 53, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 4083937
    {'adelic_gens': [[1, 2, 2, 5], [4562, 1, 4079, 0], [1, 4, 0, 1], [3817, 4, 1274, 9], [3977, 2386, 2384, 3975], [2122, 1, 2119, 0], [3181, 4, 2, 9], [1, 0, 4, 1], [3, 4, 8, 11], [6357, 4, 6356, 5]], 'adelic_image': '6360.12.0.?', 'conductor': 389550, 'lmfdb_label': '389550.fl2', 'prime': 0}
  • id: 1329479
    {'conductor': 389550, 'elladic_image': '2.3.0.1', 'lmfdb_label': '389550.fl2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 389550.fl does not appear in ec_padic