Elliptic curve data - 380926.k1

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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': '380926k', 'Clabel': '380926k2', 'Cnumber': 2, 'abc_quality': 0.9271733325092393, 'absD': 28267936833798880036, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 50232, 'ainvs': [1, 1, 0, -976056, 268525132], 'analytic_rank': 0, 'bad_primes': [2, 7, 13, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 380926, 'degree': 13208832, 'elladic_images': ['2.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4399374710416005711533983947', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 10, 'isogeny_degrees': [1, 3], 'jinv': [2154177617137, 592143556], 'lmfdb_iso': '380926.k', 'lmfdb_label': '380926.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19920, -785718], 'min_quad_twist_disc': -7, 'modell_images': ['2Cn', '3B'], 'modm_images': ['2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '182.6.0.?', '273.8.0.?', '546.48.0.?', '552.16.0.?', '16744.12.0.?', '50232.96.2.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39085412058525002755668986824', 'prec': 103}, 'szpiro_ratio': 4.123419784917649, '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, -1, 1, 3, 1, 0, -1, -2, -3, -3, -1, 0, 0, -3, 1, 6, 2, -7, 3], 'aplist': [-1, -1, 3, 0, -3, 0, 6, -7, -1, -3, -7, -2, 3, -1, 3, -9, -12, 1, 13, 9, 11, 17, -12, 18, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 380926, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '380926.k', 'trace_hash': 1472352879075187067}
• 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': '0.0075979641537349078248937823077', 'prec': 110}, 'conductor': 380926, 'gens': [], 'heights': [], 'lmfdb_label': '380926.k1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19603581299930753988457016396', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.78414325199723015953828065585718187494', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 380926.k1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15771642
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '380926.k1', 'torsion': [3]}
  • id: 15771643
    {'degree': 3, 'field': [64, -30, -1, 1], 'lmfdb_label': '380926.k1', 'torsion': [2, 2]}
  • id: 15771645
    {'degree': 6, 'field': [64, -120, -566, 433, -83, -1, 1], 'lmfdb_label': '380926.k1', 'torsion': [2, 6]}
  • id: 15771644
    {'degree': 6, 'field': [591500, 0, 0, -1456, 0, 0, 1], 'lmfdb_label': '380926.k1', 'torsion': [3]}
  • id: 15771646
    {'degree': 12, 'field': [147926962, -21980830, -111248381, -56963550, -1613606, 4037086, -32593, -12106, 587, -812, 22, -4, 1], 'lmfdb_label': '380926.k1', 'torsion': [2, 4]}
  • id: 15771647
    {'degree': 12, 'field': [4485650625, -4879463625, 2634868575, -941578020, 216639441, -27055791, 1585998, 22239, -10239, -72, 27, -3, 1], 'lmfdb_label': '380926.k1', 'torsion': [3, 3]}
  • id: 15771648
    {'degree': 18, 'field': [-74568992262720528, 19705568699112768, -5030320629379680, -676983724326816, 912339513525216, -62622576632160, -261722654276, -459927673128, -420679261404, 176696312, -863198820, 1420992, 33060431, -195408, -41607, -1160, -258, 0, 1], 'lmfdb_label': '380926.k1', 'torsion': [9]}
  • id: 15771649
    {'degree': 18, 'field': [3189506048, 0, 0, -1015513088, 0, 0, 209924096, 0, 0, -4902528, 0, 0, 56660, 0, 0, -340, 0, 0, 1], 'lmfdb_label': '380926.k1', '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: 9422214
    {'conductor': 380926, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '380926.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9422215
    {'conductor': 380926, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '380926.k1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9422216
    {'conductor': 380926, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '380926.k1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9422217
    {'conductor': 380926, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '380926.k1', 'prime': 23, '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: 4031679
    {'adelic_gens': [[43052, 50223, 7173, 50225], [41497, 12, 48054, 73], [15468, 5, 38527, 50185], [1, 0, 12, 1], [25117, 12, 6, 73], [7, 12, 50166, 50119], [1, 12, 0, 1], [5, 2, 50194, 50217], [16745, 12, 41860, 1], [12559, 12, 25122, 73], [50221, 12, 50220, 13]], 'adelic_image': '50232.96.2.?', 'conductor': 380926, 'lmfdb_label': '380926.k1', 'prime': 0}
  • id: 1302967
    {'conductor': 380926, 'elladic_image': '2.2.0.1', 'lmfdb_label': '380926.k1', 'modell_image': '2Cn', 'prime': 2}
  • id: 1302968
    {'conductor': 380926, 'elladic_image': '3.4.0.1', 'lmfdb_label': '380926.k1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 380926.k does not appear in ec_padic