Elliptic curve data - 6930.bc2

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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': '6930be', 'Clabel': '6930be2', 'Cnumber': 2, 'abc_quality': 1.1359981314962933, 'absD': 1024594129034038886400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, -1, 1, -2523047, 88264671], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6930, 'degree': 401408, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7210887492809487307461196204', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [2436531580079063806249, 1405478914998681600], 'lmfdb_iso': '6930.bc', 'lmfdb_label': '6930.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -280338, -3362508], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '24.24.0-24.a.1.4', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1717826049468938850484970019', 'prec': 100}, 'szpiro_ratio': 6.31376825509933, '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, 1, 0, -1, 1, 0, 1, -1, 0, 6, -1, 0, 1, -2, 0, 0, 1], 'aplist': [1, 0, 1, -1, -1, 6, -2, 0, 0, 6, -8, 10, 2, -8, -4, 6, 12, 10, 8, -4, 10, 8, -12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 6930, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '6930.bc', 'trace_hash': 15104955255375736}
• 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': '0.0043300443325242388147253423745', 'prec': 110}, 'conductor': 6930, 'gens': [], 'heights': [], 'lmfdb_label': '6930.bc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13259704055298068567583261854', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7127171354834591989233133191536420568', 'prec': 130}, 'tamagawa_product': 448, 'torsion_generators': [[35, -18, 1], [1571, -786, 1]], 'xcoord_integral_points': [35, 1571]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 1], '3': 'a', '5': [1, 0], '7': [2, 0], '11': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '6930.bc2'}
• ec_torsion_growth •

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

  
  
  • id: 364560
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '6930.bc2', 'torsion': [2, 4]}
  • id: 364561
    {'degree': 4, 'field': [256, 0, -38, 0, 1], 'lmfdb_label': '6930.bc2', 'torsion': [2, 4]}
  • id: 364562
    {'degree': 4, 'field': [676, 0, 53, 0, 1], 'lmfdb_label': '6930.bc2', 'torsion': [2, 4]}
  • id: 364565
    {'degree': 8, 'field': [-69670, 4820, -4730, -197, 142, -55, 23, -4, 1], 'lmfdb_label': '6930.bc2', 'torsion': [2, 6]}
  • id: 364564
    {'degree': 8, 'field': [256, 0, -256, 0, 120, 0, -16, 0, 1], 'lmfdb_label': '6930.bc2', 'torsion': [2, 8]}
  • id: 364563
    {'degree': 8, 'field': [4096, 0, 0, 0, 233, 0, 0, 0, 1], 'lmfdb_label': '6930.bc2', 'torsion': [4, 4]}
  • id: 364568
    {'degree': 16, 'field': [1731260476, -924274696, 834656420, 149126348, 1428030, -93219640, 34538149, -3140504, 1016604, -183410, 66965, -18052, 4313, -630, 110, -8, 1], 'lmfdb_label': '6930.bc2', 'torsion': [2, 12]}
  • id: 364566
    {'degree': 16, 'field': [24679153216, 0, -14450889600, 0, 3072922976, 0, -351318240, 0, 19399476, 0, -146160, 0, -5164, 0, 0, 0, 1], 'lmfdb_label': '6930.bc2', 'torsion': [2, 8]}
  • id: 364567
    {'degree': 16, 'field': [411242509120, 7920419520, 5017227680, 3517477920, -1444156604, 35863452, 9943874, -1821198, 4495117, -55062, 5924, -3474, -3146, -6, 2, 0, 1], 'lmfdb_label': '6930.bc2', '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: 141677
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '6930.bc2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 141678
    {'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '6930.bc2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 141679
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.bc2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 141680
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.bc2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 141681
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6930.bc2', 'prime': 11, '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: 1709722
    {'adelic_gens': [[837, 4, 836, 5], [213, 4, 422, 3], [1, 4, 0, 1], [421, 4, 2, 9], [559, 838, 0, 839], [171, 2, 166, 839], [1, 0, 4, 1], [723, 2, 358, 839]], 'adelic_image': '840.48.0.?', 'conductor': 6930, 'lmfdb_label': '6930.bc2', 'prime': 0}
  • id: 34153
    {'conductor': 6930, 'elladic_image': '4.12.0.1', 'lmfdb_label': '6930.bc2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 6930.bc does not appear in ec_padic