Elliptic curve data - 350658.dw6

Formats: - HTML - YAML - JSON - 2026-06-02T02:05:15.899009

• 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': '350658dw5', 'Cnumber': 5, 'abc_quality': 1.0174819765013208, 'absD': 229376740824296775007452, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 85008, 'ainvs': [1, -1, 1, 6823651, -21999305919], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 350658, 'degree': 41943040, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1642283337730778291535859895', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 100, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [27207619911317663, 177609314617308], 'lmfdb_iso': '350658.dw', 'lmfdb_label': '350658.dw6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 6266, -609505], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '14.6.0.b.1', '28.12.0.g.1', '56.48.0.bh.1', '132.12.0.?', '264.48.0.?', '368.48.0.?', '924.24.0.?', '1848.96.0.?', '2576.96.1.?', '12144.96.0.?', '85008.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.7117868405335783828899167686', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7623], [3, 8, 38962], [7, 8, 50094], [11, 62, 2898], [23, 24, 15246]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4159745530398377114249915821', 'prec': 100}, 'szpiro_ratio': 4.789600517694221, '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, 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': '0.0017847861630343123377531512236', 'prec': 110}, 'conductor': 350658, 'gens': [[8975, 533811, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '8.7117868405335783828899167686', 'prec': 100}], 'lmfdb_label': '350658.dw6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.049550960768871540779840296408', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.813677054785622148289030884310487404', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[8075, -8079, 2]], 'xcoord_integral_points': []}
• lmfdb_label 350658.dw6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14637007
    {'degree': 2, 'field': [-231, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [4]}
  • id: 14637006
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '350658.dw6', 'torsion': [2, 2]}
  • id: 14637008
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [4]}
  • id: 14637011
    {'degree': 4, 'field': [289, 0, 32, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [8]}
  • id: 14637010
    {'degree': 4, 'field': [361, 0, 94, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [8]}
  • id: 14637009
    {'degree': 4, 'field': [994, -70, 71, -2, 1], 'lmfdb_label': '350658.dw6', 'torsion': [2, 4]}
  • id: 14637015
    {'degree': 8, 'field': [-31488, -40704, 30912, 29064, -16584, -138, -10, -4, 1], 'lmfdb_label': '350658.dw6', 'torsion': [6]}
  • id: 14637013
    {'degree': 8, 'field': [8649, 0, -3342, 0, 355, 0, -26, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [8]}
  • id: 14637012
    {'degree': 8, 'field': [9388, -752, 1192, -848, 345, 92, -26, -4, 1], 'lmfdb_label': '350658.dw6', 'torsion': [2, 4]}
  • id: 14637014
    {'degree': 8, 'field': [59794, -16716, 18502, -3644, 2003, -220, 78, -4, 1], 'lmfdb_label': '350658.dw6', 'torsion': [2, 8]}
  • id: 14637018
    {'degree': 16, 'field': [200704, 0, 0, 0, 0, 0, 0, 0, 46172, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [2, 8]}
  • id: 14637016
    {'degree': 16, 'field': [9108324, 0, 21905112, 0, 11205952, 0, 2471732, 0, 357573, 0, 33184, 0, 1962, 0, 68, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [4, 4]}
  • id: 14637017
    {'degree': 16, 'field': [25280784, 0, -23844864, 0, 10012348, 0, -2305696, 0, 328233, 0, -30368, 0, 1818, 0, -64, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [2, 8]}
  • id: 14637023
    {'degree': 16, 'field': [133541136, 0, -87114528, 0, -2260548, 0, 5322753, 0, 631098, 0, 30249, 0, 1845, 0, 66, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [12]}
  • id: 14637020
    {'degree': 16, 'field': [6784652161, 0, 590420992, 0, 508362848, 0, 124010880, 0, 9257858, 0, -15360, 0, 4448, 0, -128, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [16]}
  • id: 14637021
    {'degree': 16, 'field': [3190124117944, -2490659657320, 1166043529776, -378713715918, 89533983486, -16370692932, 2539554805, -334266442, 37076676, -4418172, 511431, -52200, 10517, -1316, 36, -4, 1], 'lmfdb_label': '350658.dw6', 'torsion': [2, 6]}
  • id: 14637019
    {'degree': 16, 'field': [74861828066529, 0, 21242004268800, 0, 1898535085216, 0, 54532993760, 0, 509029346, 0, 965888, 0, 20384, 0, 224, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [16]}
  • id: 14637022
    {'degree': 16, 'field': [121836031140096, 0, -17302754923776, 0, 1047778314688, 0, -36131131911, 0, 780060498, 0, -10790647, 0, 93345, 0, -462, 0, 1], 'lmfdb_label': '350658.dw6', 'torsion': [12]}
• 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: 8682088
    {'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350658.dw6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8682089
    {'conductor': 350658, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '350658.dw6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8682090
    {'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '350658.dw6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8682091
    {'conductor': 350658, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '350658.dw6', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8682092
    {'conductor': 350658, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '350658.dw6', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• ec_galrep •

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

  
  
  • id: 3853412
    {'adelic_gens': [[84993, 16, 84992, 17], [5, 4, 85004, 85005], [1, 16, 0, 1], [37687, 64416, 74646, 29305], [56671, 0, 0, 85007], [9208, 41217, 62271, 30922], [69551, 0, 0, 85007], [1, 0, 16, 1], [69565, 64416, 10692, 2905], [15, 2, 84910, 84995], [22177, 64416, 82104, 5281]], 'adelic_image': '85008.192.1.?', 'conductor': 350658, 'lmfdb_label': '350658.dw6', 'prime': 0}
  • id: 1213378
    {'conductor': 350658, 'elladic_image': '8.24.0.90', 'lmfdb_label': '350658.dw6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 350658.dw does not appear in ec_padic