Elliptic curve data - 363090.ds2

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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': '363090ds', 'Clabel': '363090ds4', 'Cnumber': 4, 'abc_quality': 0.994016048147397, 'absD': 8973036375451443750000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 41496, 'ainvs': [1, 0, 1, -11449023, 14196257506], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363090, 'degree': 31457280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9684980602035491205025850256', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 96, 'isogeny_degrees': [1, 2, 4], 'jinv': [1410719602237262088409, 76269550743750000], 'lmfdb_iso': '363090.ds', 'lmfdb_label': '363090.ds2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -233653, -41488643], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '84.12.0.?', '152.12.0.?', '156.12.0.?', '364.12.0.?', '1092.24.0.?', '3192.24.0.?', '5928.24.0.?', '13832.24.0.?', '41496.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.93181529853560328052025422203', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 1911], [3, 4, 121030], [5, 6, 72618], [7, 32, 7410], [13, 14, 27930], [19, 20, 19110]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9955429856758924679499086539', 'prec': 100}, 'szpiro_ratio': 4.7158204247125965, '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, 1, -1, 0, -1, 1, -1, 0, 1, -1, 0, 1, 1, -6, -1, 1, 1], 'aplist': [-1, 1, 1, 0, 0, -1, -6, 1, 0, -6, 0, 2, 10, 4, 0, 2, 0, 10, 4, 8, 2, 4, -12, -14, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 363090, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '363090.ds', 'trace_hash': 1473501135740308959}
• 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': '0.0026399478378557157311078347359', 'prec': 110}, 'conductor': 363090, 'gens': [[3595, 137852, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.93181529853560328052025422203', 'prec': 103}], 'lmfdb_label': '363090.ds2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12822958610607217116186584679', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6471225637456951525675325833603841778', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-15545, 15541, 2]], 'xcoord_integral_points': [1516, 3595]}
• lmfdb_label 363090.ds2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15096511
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [2, 2]}
  • id: 15096512
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [4]}
  • id: 15096513
    {'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '363090.ds2', 'torsion': [4]}
  • id: 15096514
    {'degree': 4, 'field': [225, 0, -9, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [2, 4]}
  • id: 15096518
    {'degree': 8, 'field': [-3905643, 0, -246232, 0, -6846, 0, 0, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [6]}
  • id: 15096515
    {'degree': 8, 'field': [1521, 0, 0, 0, -897, 0, 0, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [2, 4]}
  • id: 15096517
    {'degree': 8, 'field': [50625, 0, -1125, 0, 24, 0, -5, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [8]}
  • id: 15096516
    {'degree': 8, 'field': [96100, 0, 41564, 0, 4773, 0, 62, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [8]}
  • id: 15096519
    {'degree': 16, 'field': [390625, 0, 19508900, 0, 2342446, 0, 3183548, 0, 838219, 0, 3644, 0, -1766, 0, 8, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [4, 4]}
  • id: 15096520
    {'degree': 16, 'field': [4037331600, 0, -1150525296, 0, 486094284, 0, 92726748, 0, 6585633, 0, 256392, 0, 8982, 0, 156, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [2, 8]}
  • id: 15096521
    {'degree': 16, 'field': [7700062500, -2156017500, 3583095750, -4125180150, 2888257905, -782195778, 185785704, -30452058, 833652, -509418, 119334, 11466, 1684, -546, -46, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [2, 8]}
  • id: 15096523
    {'degree': 16, 'field': [1125933210000, 0, 433103365125, 0, 41593860450, 0, -167724189, 0, -27502173, 0, 412911, 0, 711, 0, 42, 0, 1], 'lmfdb_label': '363090.ds2', 'torsion': [12]}
  • id: 15096524
    {'degree': 16, 'field': [2221069215845, 1079308618120, -1025007450080, -129962592312, 118706848498, -65381207080, 23313684604, -1307567312, 332843211, -3982952, 814604, -13216, 5054, -1344, 212, -8, 1], 'lmfdb_label': '363090.ds2', 'torsion': [12]}
  • id: 15096522
    {'degree': 16, 'field': [466906355456256, 0, -37894150176768, 0, 624653698816, 0, -29777387136, 0, 305352096, 0, -4882304, 0, 28896, 0, -312, 0, 1], 'lmfdb_label': '363090.ds2', '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: 8982076
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.ds2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8982077
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.ds2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8982078
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '363090.ds2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 8982079
    {'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '363090.ds2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8982080
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.ds2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8982081
    {'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.ds2', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3925534
    {'adelic_gens': [[7, 6, 41490, 41491], [1, 0, 8, 1], [27668, 1, 13855, 6], [25939, 25938, 36322, 15571], [1, 8, 0, 1], [1, 4, 4, 17], [11855, 41488, 5924, 41463], [41489, 8, 41488, 9], [39313, 8, 32764, 33], [9584, 3, 31925, 2], [36312, 15569, 36337, 36384]], 'adelic_image': '41496.48.0.?', 'conductor': 363090, 'lmfdb_label': '363090.ds2', 'prime': 0}
  • id: 1249621
    {'conductor': 363090, 'elladic_image': '4.6.0.1', 'lmfdb_label': '363090.ds2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 363090.ds does not appear in ec_padic