Elliptic curve data - 6930.w1

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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': '6930x3', 'Cnumber': 3, 'abc_quality': 1.0089705096945345, 'absD': 22733865000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -2395013, -1426026283], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6930, 'degree': 98304, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9908319390507116933694434411', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 4], 'jinv': [2084105208962185000201, 31185000], 'lmfdb_iso': '6930.w', 'lmfdb_label': '6930.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -266113, 52815788], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '132.12.0.?', '168.12.0.?', '280.12.0.?', '440.12.0.?', '616.12.0.?', '840.24.0.?', '1320.24.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4415257947166568476718208226', 'prec': 100}, 'szpiro_ratio': 6.2961017311639935, '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': '0.018654574562793872787377848535', 'prec': 107}, 'conductor': 6930, 'gens': [], 'heights': [], 'lmfdb_label': '6930.w1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12135917070239255648082194936', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9126200968574213555397267847271756422', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-3573, 3569, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1], '3': 'a', '5': [0, 0], '7': [0, 0], '11': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '6930.w1'}
• ec_torsion_growth •

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

  
  
  • id: 364113
    {'degree': 2, 'field': [-154, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [2, 2]}
  • id: 364114
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [4]}
  • id: 364115
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [4]}
  • id: 364116
    {'degree': 4, 'field': [2401, 0, -56, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [2, 4]}
  • id: 364120
    {'degree': 8, 'field': [-108, 0, -1149, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [6]}
  • id: 364118
    {'degree': 8, 'field': [93636, 0, -22680, 0, 1737, 0, -45, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [8]}
  • id: 364119
    {'degree': 8, 'field': [1086376, 61792, -48928, -25520, 12241, 620, -202, -4, 1], 'lmfdb_label': '6930.w1', 'torsion': [8]}
  • id: 364117
    {'degree': 8, 'field': [29847448, 556448, -567152, 21440, -10799, 92, -26, -4, 1], 'lmfdb_label': '6930.w1', 'torsion': [2, 4]}
  • id: 364122
    {'degree': 16, 'field': [54996816196, 0, 13340008136, 0, 1394594096, 0, 6839196, 0, -3905851, 0, -99096, 0, 3818, 0, 20, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [2, 8]}
  • id: 364121
    {'degree': 16, 'field': [148819264441, 0, -28612430608, 0, 5083879136, 0, 137863320, 0, 40410902, 0, -25200, 0, 12656, 0, 8, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [4, 4]}
  • id: 364123
    {'degree': 16, 'field': [863312289316, 0, 181249146608, 0, 10807129748, 0, 448550400, 0, 26122781, 0, -1471620, 0, 30158, 0, -268, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [2, 8]}
  • id: 364125
    {'degree': 16, 'field': [1595002288356, 0, 300466499544, 0, 33543955449, 0, 2154456252, 0, 82668456, 0, 2005422, 0, 30564, 0, 264, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [12]}
  • id: 364126
    {'degree': 16, 'field': [10389985222500, 0, 1733627515500, 0, 147485496825, 0, 7226488008, 0, 216915372, 0, 4140582, 0, 49464, 0, 336, 0, 1], 'lmfdb_label': '6930.w1', 'torsion': [12]}
  • id: 364124
    {'degree': 16, 'field': [6218359893870084, 0, 474961620096900, 0, 14648667256953, 0, 195144487200, 0, 528690780, 0, -11111550, 0, -83088, 0, 0, 0, 1], 'lmfdb_label': '6930.w1', '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: 141522
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6930.w1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 141523
    {'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '6930.w1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 141524
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6930.w1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 141525
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.w1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 141526
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.w1', '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: 1709829
    {'adelic_gens': [[9233, 8, 9232, 9], [1, 0, 8, 1], [8368, 3, 4845, 3082], [1, 8, 0, 1], [1, 4, 4, 17], [844, 3081, 8703, 6166], [3079, 0, 0, 9239], [7, 6, 9234, 9235], [5776, 7323, 1929, 5038], [5779, 8856, 7338, 2701], [3697, 6168, 8628, 6193]], 'adelic_image': '9240.48.0.?', 'conductor': 6930, 'lmfdb_label': '6930.w1', 'prime': 0}
  • id: 34300
    {'conductor': 6930, 'elladic_image': '4.6.0.1', 'lmfdb_label': '6930.w1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 6930.w does not appear in ec_padic