Elliptic curve data - 6930.bj2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6930v', 'Clabel': '6930v2', 'Cnumber': 2, 'absD': 392203350000000, 'ainvs': [1, -1, 1, -19007, 1392231], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6930, 'degree': 28672, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5047582364612556239146649746', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2], 'jinv': [-28124139978713043, 14526050000000], 'lmfdb_iso': '6930.bj', 'lmfdb_label': '6930.bj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -19007, 1392231], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 24, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.058520269525866281653826050524', 'prec': 107}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2301051642942282010658536654', 'prec': 100}, '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, -4, 1, 0, 1, -2, 0, -6, 1], 'aplist': [1, 0, 1, 1, 1, -4, -2, -6, -6, 2, 0, -10, -6, -2, -2, -6, 0, -4, -8, 6, 6, 4, -12, 4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 6930, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6930.bj', 'trace_hash': 1651191844160510536}
• 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': '0.049315518384925221370526065047', 'prec': 107}, 'conductor': 6930, 'gens': [[-69, 1574, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.058520269525866281653826050524', 'prec': 107}], 'lmfdb_label': '6930.bj2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49695301489799535364135058471', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5143286596690466655476616382522370182', 'prec': 130}, 'tamagawa_product': 896, 'torsion_generators': [[-661, 657, 2]], 'xcoord_integral_points': [-139, -69, -9, 41, 71, 75, 141, 239, 491, 1691, 2241, 97511]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1], '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6930.bj2'}
• ec_torsion_growth •

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

  
  
  • id: 364070
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '6930.bj2', 'torsion': [2, 2]}
  • id: 364071
    {'degree': 4, 'field': [-6, 0, 3, 0, 1], 'lmfdb_label': '6930.bj2', 'torsion': [4]}
  • id: 364072
    {'degree': 8, 'field': [16, 0, 64, 0, 78, 0, 16, 0, 1], 'lmfdb_label': '6930.bj2', 'torsion': [2, 4]}
  • id: 364073
    {'degree': 8, 'field': [289, 0, 430, 0, 66, 0, -2, 0, 1], 'lmfdb_label': '6930.bj2', 'torsion': [2, 4]}
  • id: 364074
    {'degree': 8, 'field': [880, -1320, 1540, -994, 252, -70, 7, -3, 1], 'lmfdb_label': '6930.bj2', 'torsion': [6]}
  • id: 364075
    {'degree': 16, 'field': [16, 0, 15808, 0, 36644, 0, -364544, 0, 20428, 0, -2176, 0, -79, 0, -40, 0, 1], 'lmfdb_label': '6930.bj2', 'torsion': [8]}
  • id: 364076
    {'degree': 16, 'field': [1806336, 0, 93523968, 0, 28619776, 0, 3644256, 0, 262176, 0, -7976, 0, -444, 0, 12, 0, 1], 'lmfdb_label': '6930.bj2', '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: 141497
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '6930.bj2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 141498
    {'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '6930.bj2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 141499
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '6930.bj2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 141500
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6930.bj2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 141501
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.bj2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'conductor': 6930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6930.bj2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 278852
    {'lmfdb_iso': '6930.bj', 'p': 13, 'prec': 20, 'unit': 1151977423491767380773, 'val': 1}
  • id: 278854
    {'lmfdb_iso': '6930.bj', 'p': 17, 'prec': 20, 'unit': 151489160744831917833279, 'val': 1}
  • id: 278855
    {'lmfdb_iso': '6930.bj', 'p': 19, 'prec': 20, 'unit': 1279291743763375022251005, 'val': 1}
  • id: 278858
    {'lmfdb_iso': '6930.bj', 'p': 23, 'prec': 20, 'unit': 37860489350907068341628615, 'val': 1}
  • id: 278851
    {'lmfdb_iso': '6930.bj', 'p': 29, 'prec': 20, 'unit': 2411237988255818719384611666, 'val': 1}
  • id: 278847
    {'lmfdb_iso': '6930.bj', 'p': 37, 'prec': 20, 'unit': 546217364742730827894185506257, 'val': 1}
  • id: 278849
    {'lmfdb_iso': '6930.bj', 'p': 41, 'prec': 20, 'unit': 4243761806346318658550515414571, 'val': 1}
  • id: 278850
    {'lmfdb_iso': '6930.bj', 'p': 43, 'prec': 20, 'unit': 9556560915413669124142761536217, 'val': 1}
  • id: 278853
    {'lmfdb_iso': '6930.bj', 'p': 47, 'prec': 20, 'unit': 28666708893912672234997384490440, 'val': 1}
  • id: 278856
    {'lmfdb_iso': '6930.bj', 'p': 53, 'prec': 20, 'unit': 565916002980835980818634986418134, 'val': 1}
  • id: 278861
    {'lmfdb_iso': '6930.bj', 'p': 61, 'prec': 20, 'unit': 3647268699379473707821649725035166, 'val': 1}
  • id: 278846
    {'lmfdb_iso': '6930.bj', 'p': 67, 'prec': 20, 'unit': 27352293825891992375881129929000456, 'val': 1}
  • id: 278848
    {'lmfdb_iso': '6930.bj', 'p': 71, 'prec': 20, 'unit': 104867520946990337111193292052553721, 'val': 1}
  • id: 278857
    {'lmfdb_iso': '6930.bj', 'p': 73, 'prec': 20, 'unit': 18889805959740670258063692448473339, 'val': 1}
  • id: 278860
    {'lmfdb_iso': '6930.bj', 'p': 79, 'prec': 20, 'unit': 64295879139155232528294906738511572, 'val': 1}
  • id: 278845
    {'lmfdb_iso': '6930.bj', 'p': 83, 'prec': 20, 'unit': 674729885186348289541271019207353646, 'val': 1}
  • id: 278859
    {'lmfdb_iso': '6930.bj', 'p': 89, 'prec': 20, 'unit': 2366755204548034599305131940328933115, 'val': 1}
  • id: 278844
    {'lmfdb_iso': '6930.bj', 'p': 97, 'prec': 20, 'unit': 52754080764116996423803513972704452268, 'val': 1}