Elliptic curve data - 6930.w4

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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': '6930x', 'Clabel': '6930x1', 'Cnumber': 1, 'abc_quality': 0.9401034161722833, 'absD': 31939443486720, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -8573, -406843], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6930, 'degree': 24576, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2976847584907663839522113196', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [-95575628340361, 43812679680], 'lmfdb_iso': '6930.w', 'lmfdb_label': '6930.w4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -953, 15068], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '60.12.0-4.c.1.2', '110.6.0.?', '132.12.0.?', '168.12.0.?', '220.12.0.?', '280.12.0.?', '616.12.0.?', '660.24.0.?', '840.24.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74837861415671153825458870114', 'prec': 103}, 'szpiro_ratio': 4.451349032950292, '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, -1, 0, -1, 1, 0, -1, 1, 0, 2, -1, 0, 1, 2, 0, -8, -1], 'aplist': [1, 0, -1, -1, 1, 2, 2, -8, 8, 6, 0, -6, 2, 4, -12, 14, -4, -10, 8, 0, -10, 4, 4, 14, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 6930, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6930.w', 'trace_hash': 1137381665480760486}
• 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': '0.074618298251175491149511394140', 'prec': 107}, 'conductor': 6930, 'gens': [], 'heights': [], 'lmfdb_label': '6930.w4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24271834140478511296164389873', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9126200968574213555397267847271756422', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[111, -56, 1]], 'xcoord_integral_points': [111]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '6930.w4'}
• ec_torsion_growth •

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

  
  
  • id: 364092
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '6930.w4', 'torsion': [4]}
  • id: 364093
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '6930.w4', 'torsion': [4]}
  • id: 364091
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '6930.w4', 'torsion': [2, 2]}
  • id: 364094
    {'degree': 4, 'field': [34, -23, 5, -1, 1], 'lmfdb_label': '6930.w4', 'torsion': [2, 4]}
  • id: 364096
    {'degree': 8, 'field': [-1392, 7248, -6542, -1360, 551, 152, -46, -4, 1], 'lmfdb_label': '6930.w4', 'torsion': [8]}
  • id: 364098
    {'degree': 8, 'field': [-108, 0, -1149, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '6930.w4', 'torsion': [6]}
  • id: 364095
    {'degree': 8, 'field': [4096, 0, -1472, 0, 384, 0, -23, 0, 1], 'lmfdb_label': '6930.w4', 'torsion': [2, 4]}
  • id: 364097
    {'degree': 8, 'field': [36456, -8232, 8806, -1176, 659, -88, 34, -4, 1], 'lmfdb_label': '6930.w4', 'torsion': [8]}
  • id: 364103
    {'degree': 16, 'field': [121104, 8157393, -8129106, -4096779, 9816747, -5007465, -1017665, 2448446, -1217349, 277183, -25324, -135, 17, 49, -9, -4, 1], 'lmfdb_label': '6930.w4', 'torsion': [12]}
  • id: 364099
    {'degree': 16, 'field': [207936, -700416, 1179648, -1409856, 1167472, -630560, 280352, -119808, 35580, -1168, -3568, 1820, -403, 14, 18, -6, 1], 'lmfdb_label': '6930.w4', 'torsion': [4, 4]}
  • id: 364104
    {'degree': 16, 'field': [589660, -576475, 1319346, -597135, 625215, -59397, 39823, -17386, -4545, 8955, -888, -123, 77, -35, 15, -4, 1], 'lmfdb_label': '6930.w4', 'torsion': [12]}
  • id: 364102
    {'degree': 16, 'field': [16777216, -4194304, 17039360, -5472256, -2826240, -165376, 1291008, -128320, -111800, -16040, 20172, -323, -690, -167, 65, -2, 1], 'lmfdb_label': '6930.w4', 'torsion': [2, 6]}
  • id: 364101
    {'degree': 16, 'field': [1019908096, 0, 461233152, 0, 115868480, 0, 11824992, 0, 1247604, 0, 53388, 0, 2285, 0, 18, 0, 1], 'lmfdb_label': '6930.w4', 'torsion': [2, 8]}
  • id: 364100
    {'degree': 16, 'field': [1998447616, 0, 394510336, 0, -72045952, 0, -8517696, 0, 1221188, 0, -34932, 0, 1997, 0, -62, 0, 1], 'lmfdb_label': '6930.w4', '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: 141512
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '6930.w4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 141513
    {'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '6930.w4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 141514
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.w4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 141515
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6930.w4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 141516
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.w4', 'prime': 11, '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: 1709832
    {'adelic_gens': [[4936, 3, 6165, 3082], [5281, 6168, 5724, 6193], [9233, 8, 9232, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [844, 3081, 8703, 6166], [4243, 1158, 5010, 6547], [8089, 8088, 6558, 8095], [3079, 0, 0, 9239], [7, 6, 9234, 9235]], 'adelic_image': '9240.48.0.?', 'conductor': 6930, 'lmfdb_label': '6930.w4', 'prime': 0}
  • id: 34303
    {'conductor': 6930, 'elladic_image': '4.6.0.1', 'lmfdb_label': '6930.w4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 6930.w does not appear in ec_padic