Elliptic curve data - 6930.q3

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6930o', 'Clabel': '6930o6', 'Cnumber': 6, 'abc_quality': 1.01113946906003, 'absD': 35596085895562500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -2994759, 1995489513], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 6930, 'degree': 165888, 'elladic_images': ['2.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3251541852555119559139602147', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4074571110566294433649, 48828650062500], 'lmfdb_iso': '6930.q', 'lmfdb_label': '6930.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -332751, -73907019], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs', '3B.1.1'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.2', '6.48.0-6.a.1.1', '44.12.0-2.a.1.1', '84.96.0.?', '120.96.0.?', '132.96.0.?', '280.12.0.?', '840.192.1.?', '924.192.1.?', '1320.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 22, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5503935441240096438128675703', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 14], [5, 6, 1386], [7, 8, 990], [11, 12, 630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7758480409214571102163375962', 'prec': 100}, 'szpiro_ratio': 6.371910761573034, 'torsion': 12, 'torsion_primes': [2, 3], 'torsion_structure': [2, 6]}
• 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, -6, 0, -4, 1], 'aplist': [-1, 0, 1, 1, 1, 2, -6, -4, 0, -6, 8, -10, 6, 8, 0, -6, -12, 2, -4, -12, -10, -4, 12, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 6930, 'isogeny_matrix': [[1, 4, 2, 12, 3, 4, 6, 12], [4, 1, 2, 3, 12, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [12, 3, 6, 1, 4, 12, 2, 4], [3, 12, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '6930.q', 'trace_hash': 1634722172065648872}
• 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': '0.0095586538690409565567463648938', 'prec': 110}, 'conductor': 6930, 'gens': [[1044, 1935, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5503935441240096438128675703', 'prec': 100}], 'lmfdb_label': '6930.q3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33315576776726077978845092890', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3987132772051988617275654827900519569', 'prec': 130}, 'tamagawa_product': 576, 'torsion_generators': [[1002, -501, 1], [972, 999, 1]], 'xcoord_integral_points': [-1998, -1833, 202, 477, 664, 972, 1002, 1027, 1044, 1377, 1632, 52452]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '6930.q3'}
• ec_torsion_growth •

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

  
  
  • id: 363827
    {'degree': 4, 'field': [64, 0, 5, 0, 1], 'lmfdb_label': '6930.q3', 'torsion': [2, 12]}
  • id: 363828
    {'degree': 4, 'field': [100, 0, -50, 0, 1], 'lmfdb_label': '6930.q3', 'torsion': [2, 12]}
  • id: 363826
    {'degree': 4, 'field': [759, -66, 67, -2, 1], 'lmfdb_label': '6930.q3', 'torsion': [2, 12]}
  • id: 363829
    {'degree': 6, 'field': [1849, -129, -120, 77, 6, -3, 1], 'lmfdb_label': '6930.q3', 'torsion': [6, 6]}
  • id: 363830
    {'degree': 9, 'field': [-44850876, 18197424, 1873368, -696150, -64008, -7938, -983, -21, 0, 1], 'lmfdb_label': '6930.q3', 'torsion': [2, 18]}
  • id: 363833
    {'degree': 16, 'field': [1320201, 0, 8022186, 0, 11987013, 0, -733206, 0, -1808, 0, 20974, 0, 1893, 0, 46, 0, 1], 'lmfdb_label': '6930.q3', 'torsion': [2, 24]}
  • id: 363831
    {'degree': 16, 'field': [29948836, 27159400, -19301580, -3764600, 15381466, -4183400, -2187110, 384200, 175461, -55900, 9710, 400, 1336, -100, -20, 0, 1], 'lmfdb_label': '6930.q3', 'torsion': [4, 12]}
  • id: 363834
    {'degree': 16, 'field': [4173030801, 0, -7141042752, 0, 2129677228, 0, -260890784, 0, 13086710, 0, -137984, 0, -3892, 0, -32, 0, 1], 'lmfdb_label': '6930.q3', 'torsion': [2, 24]}
  • id: 363832
    {'degree': 16, 'field': [25199606846241, 0, 3108561108192, 0, 181880668188, 0, 1461314304, 0, 42736230, 0, 1613664, 0, 23388, 0, 192, 0, 1], 'lmfdb_label': '6930.q3', 'torsion': [2, 24]}
• 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: 141387
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.q3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 141388
    {'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '6930.q3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 141389
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6930.q3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 141390
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.q3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 141391
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6930.q3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 1709809
    {'adelic_gens': [[2521, 12, 5886, 73], [9, 4, 9224, 9233], [6937, 6, 9192, 9199], [4627, 6, 9234, 9235], [1, 0, 12, 1], [9229, 12, 9228, 13], [7399, 6, 5538, 9235], [1, 12, 0, 1], [5281, 6, 0, 1], [3079, 9228, 7694, 9167]], 'adelic_image': '9240.384.5.?', 'conductor': 6930, 'lmfdb_label': '6930.q3', 'prime': 0}
  • id: 34274
    {'conductor': 6930, 'elladic_image': '2.6.0.1', 'lmfdb_label': '6930.q3', 'modell_image': '2Cs', 'prime': 2}
  • id: 34275
    {'conductor': 6930, 'elladic_image': '3.8.0.1', 'lmfdb_label': '6930.q3', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 278744
    {'lmfdb_iso': '6930.q', 'p': 13, 'prec': 20, 'unit': 1341518970220657928698, 'val': 1}
  • id: 278746
    {'lmfdb_iso': '6930.q', 'p': 17, 'prec': 20, 'unit': 65154847218008433502599, 'val': 1}
  • id: 278736
    {'lmfdb_iso': '6930.q', 'p': 19, 'prec': 20, 'unit': 80477156352792730231282, 'val': 2}
  • id: 278743
    {'lmfdb_iso': '6930.q', 'p': 29, 'prec': 20, 'unit': 671615405062993505504247944, 'val': 1}
  • id: 278753
    {'lmfdb_iso': '6930.q', 'p': 31, 'prec': 20, 'unit': 20889603938745944913764631515, 'val': 1}
  • id: 278739
    {'lmfdb_iso': '6930.q', 'p': 37, 'prec': 20, 'unit': 307692205901784767926820854814, 'val': 1}
  • id: 278741
    {'lmfdb_iso': '6930.q', 'p': 41, 'prec': 20, 'unit': 4300265778086179920906501739127, 'val': 1}
  • id: 278742
    {'lmfdb_iso': '6930.q', 'p': 43, 'prec': 20, 'unit': 630729300007997158526720386863, 'val': 1}
  • id: 278748
    {'lmfdb_iso': '6930.q', 'p': 53, 'prec': 20, 'unit': 53730009698944253986446371532633, 'val': 1}
  • id: 278751
    {'lmfdb_iso': '6930.q', 'p': 59, 'prec': 20, 'unit': 637460428862819591435825752709524, 'val': 1}
  • id: 278752
    {'lmfdb_iso': '6930.q', 'p': 61, 'prec': 20, 'unit': 3832261450717369464407851410348987, 'val': 1}
  • id: 278738
    {'lmfdb_iso': '6930.q', 'p': 67, 'prec': 20, 'unit': 3210513445773568776095334949434246, 'val': 1}
  • id: 278740
    {'lmfdb_iso': '6930.q', 'p': 71, 'prec': 20, 'unit': 72803741211558670241380466714569719, 'val': 1}
  • id: 278749
    {'lmfdb_iso': '6930.q', 'p': 73, 'prec': 20, 'unit': 213321156442211786699095544013584676, 'val': 1}
  • id: 278745
    {'lmfdb_iso': '6930.q', 'p': 79, 'prec': 20, 'unit': 563951870265333918731276129187897242, 'val': 1}
  • id: 278747
    {'lmfdb_iso': '6930.q', 'p': 83, 'prec': 20, 'unit': 451573307195454737751603028841711839, 'val': 1}
  • id: 278750
    {'lmfdb_iso': '6930.q', 'p': 89, 'prec': 20, 'unit': 5513312319131257035458112444739825576, 'val': 1}
  • id: 278737
    {'lmfdb_iso': '6930.q', 'p': 97, 'prec': 20, 'unit': 27055267731984819198619880411009153960, 'val': 1}