Elliptic curve data - 350658.dw4

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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': '350658dw', 'Clabel': '350658dw2', 'Cnumber': 2, 'abc_quality': 0.96307678039626, 'absD': 34013901957078548736, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 42504, 'ainvs': [1, -1, 1, -1256729, 464333433], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 350658, 'degree': 10485760, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4710811532131325197363538680', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 100, 'isogeny_degrees': [1, 2, 4], 'jinv': [169967019783457, 26337394944], 'lmfdb_iso': '350658.dw', 'lmfdb_label': '350658.dw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1154, 12431], 'min_quad_twist_disc': 33, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '56.48.0.v.2', '92.24.0.?', '132.24.0.?', '184.48.0.?', '264.48.0.?', '1288.96.1.?', '1848.96.0.?', '3036.48.0.?', '6072.96.0.?', '42504.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1779467101333945957224791921', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1089], [3, 8, 38962], [7, 8, 50094], [11, 62, 2898], [23, 24, 15246]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72282737247989240200775946056', 'prec': 103}, 'szpiro_ratio': 4.2095469165929025, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 2, 0, -1, 1, 0, 2, 0, 0, 2, -1, 0, 1, -6, 0, -4, 2], 'aplist': [1, 0, 2, -1, 0, 2, -6, -4, 1, -2, -8, 6, -6, 4, 8, -6, -4, 10, 4, 8, 6, 0, -12, -2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 350658, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '350658.dw', 'trace_hash': 1556105537311850283}
• 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': '0.0071391446521372493510126048946', 'prec': 110}, 'conductor': 350658, 'gens': [[2291, 96864, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1779467101333945957224791921', 'prec': 100}], 'lmfdb_label': '350658.dw4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.19820384307548616311936118563', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.813677054785622148289030884310487404', 'prec': 130}, 'tamagawa_product': 512, 'torsion_generators': [[-1273, 636, 1], [839, -420, 1]], 'xcoord_integral_points': [-1273, -261, 839, 1427, 2291]}
• lmfdb_label 350658.dw4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14636969
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '350658.dw4', 'torsion': [2, 4]}
  • id: 14636972
    {'degree': 4, 'field': [100, 0, -13, 0, 1], 'lmfdb_label': '350658.dw4', 'torsion': [2, 8]}
  • id: 14636970
    {'degree': 4, 'field': [196, 0, 5, 0, 1], 'lmfdb_label': '350658.dw4', 'torsion': [2, 4]}
  • id: 14636971
    {'degree': 4, 'field': [762, -78, 79, -2, 1], 'lmfdb_label': '350658.dw4', 'torsion': [2, 4]}
  • id: 14636975
    {'degree': 8, 'field': [-31488, -40704, 30912, 29064, -16584, -138, -10, -4, 1], 'lmfdb_label': '350658.dw4', 'torsion': [2, 6]}
  • id: 14636973
    {'degree': 8, 'field': [232, -1136, 1990, -1766, 1029, -178, 64, -4, 1], 'lmfdb_label': '350658.dw4', 'torsion': [4, 4]}
  • id: 14636974
    {'degree': 8, 'field': [928, 2368, -1502, -1670, 681, 182, -56, -4, 1], 'lmfdb_label': '350658.dw4', 'torsion': [2, 8]}
  • id: 14636980
    {'degree': 16, 'field': [-7328768, 26068672, -14527284, -17203200, -5516352, 15346272, -2549528, -2018528, 289581, 126816, -9708, -7416, 326, 392, -36, -8, 1], 'lmfdb_label': '350658.dw4', 'torsion': [2, 12]}
  • id: 14636978
    {'degree': 16, 'field': [861184, 0, 8395136, 0, 11429060, 0, 5800512, 0, 1260665, 0, 125760, 0, 5954, 0, 128, 0, 1], 'lmfdb_label': '350658.dw4', 'torsion': [4, 8]}
  • id: 14636979
    {'degree': 16, 'field': [1822640128, -211460608, 291871968, -159592832, 77095020, 2208672, 949384, -1375328, 262893, 44888, -116, -4584, 582, 56, 12, -8, 1], 'lmfdb_label': '350658.dw4', 'torsion': [2, 16]}
  • id: 14636976
    {'degree': 16, 'field': [6309442624, 0, 93652928, 0, 33874100, 0, 2147652, 0, 195329, 0, 384, 0, 398, 0, -4, 0, 1], 'lmfdb_label': '350658.dw4', 'torsion': [2, 8]}
  • id: 14636977
    {'degree': 16, 'field': [894382535524, 0, 106020134968, 0, 21642956992, 0, 1885429108, 0, 86885533, 0, 2303296, 0, 35662, 0, 292, 0, 1], 'lmfdb_label': '350658.dw4', '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: 8682073
    {'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '350658.dw4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 8682074
    {'conductor': 350658, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '350658.dw4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8682075
    {'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '350658.dw4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8682076
    {'conductor': 350658, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '350658.dw4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8682077
    {'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350658.dw4', '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: 3853410
    {'adelic_gens': [[39931, 26730, 5148, 18349], [5, 4, 42500, 42501], [18217, 32208, 25212, 1321], [1, 0, 8, 1], [19999, 34782, 2178, 7723], [1, 8, 0, 1], [42497, 8, 42496, 9], [16105, 2904, 18348, 31549], [14167, 0, 0, 42503], [27047, 0, 0, 42503]], 'adelic_image': '42504.192.1.?', 'conductor': 350658, 'lmfdb_label': '350658.dw4', 'prime': 0}
  • id: 1213376
    {'conductor': 350658, 'elladic_image': '8.24.0.10', 'lmfdb_label': '350658.dw4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 350658.dw does not appear in ec_padic