Elliptic curve data - 79968.br4

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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': '79968co', 'Clabel': '79968co2', 'Cnumber': 2, 'abc_quality': 1.081861000263372, 'absD': 3825308349698347008, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 952, 'ainvs': [0, 1, 0, 202991, 87335807], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 79968, 'degree': 1376256, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2482965504324462374882029559', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [1919569026752, 7938130977], 'lmfdb_iso': '79968.br', 'lmfdb_label': '79968.br4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 4143, -255807], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '28.12.0-4.c.1.2', '56.24.0-8.p.1.3', '68.12.0.h.1', '136.24.0.?', '476.24.0.?', '952.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58219429534484427551829446272', 'prec': 103}, 'szpiro_ratio': 4.437101903839482, '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, 0, 1, 0, -2, 0, 0, 0, 1, 0, -4, 0, 2, 0, -2, 0, -1, 0, 8, 0], 'aplist': [0, 1, -2, 0, -4, 2, -1, 8, 0, 2, 8, 2, 6, 8, 8, 6, 0, -2, 8, -16, -2, 16, -16, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 79968, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '79968.br', 'trace_hash': 1282114518803872699}
• 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': '0.011146908313066750437867299569', 'prec': 107}, 'conductor': 79968, 'gens': [], 'heights': [], 'lmfdb_label': '79968.br4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17731994788705173790081576214', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8371191661928278064130521942402420405', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-299, 0, 1]], 'xcoord_integral_points': [-299]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '7': 'a', '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '79968.br4'}
• ec_torsion_growth •

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

  
  
  • id: 3767812
    {'degree': 2, 'field': [-119, 0, 1], 'lmfdb_label': '79968.br4', 'torsion': [4]}
  • id: 3767813
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '79968.br4', 'torsion': [4]}
  • id: 3767811
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '79968.br4', 'torsion': [2, 2]}
  • id: 3767814
    {'degree': 4, 'field': [242, -38, 39, -2, 1], 'lmfdb_label': '79968.br4', 'torsion': [2, 4]}
  • id: 3767818
    {'degree': 8, 'field': [-115248, 0, 14336, 0, -1176, 0, 0, 0, 1], 'lmfdb_label': '79968.br4', 'torsion': [6]}
  • id: 3767817
    {'degree': 8, 'field': [382, -312, 316, -20, 41, -40, 18, -4, 1], 'lmfdb_label': '79968.br4', 'torsion': [8]}
  • id: 3767815
    {'degree': 8, 'field': [786, -748, 2162, -816, 131, -68, 10, 0, 1], 'lmfdb_label': '79968.br4', 'torsion': [2, 4]}
  • id: 3767816
    {'degree': 8, 'field': [14344, 37536, 38512, 17952, 2564, -408, -116, 0, 1], 'lmfdb_label': '79968.br4', 'torsion': [8]}
  • id: 3767819
    {'degree': 16, 'field': [103684, 0, 255864, 0, 192336, 0, 30612, 0, -3947, 0, -48, 0, 138, 0, -12, 0, 1], 'lmfdb_label': '79968.br4', 'torsion': [4, 4]}
  • id: 3767821
    {'degree': 16, 'field': [108612, -635040, 1612760, -1899552, 784496, 269392, -206532, 96176, -18043, -5856, 3160, -1272, 394, -112, 36, -8, 1], 'lmfdb_label': '79968.br4', 'torsion': [2, 8]}
  • id: 3767824
    {'degree': 16, 'field': [367258896, 0, -179186304, 0, 38784328, 0, -4464960, 0, 259869, 0, -3176, 0, -318, 0, 0, 0, 1], 'lmfdb_label': '79968.br4', 'torsion': [12]}
  • id: 3767820
    {'degree': 16, 'field': [1426592178, -352132968, -424157788, 94353808, 59632310, -11066184, -5590896, 848980, 374107, -45764, -18708, 1428, 846, -68, -16, 0, 1], 'lmfdb_label': '79968.br4', 'torsion': [2, 8]}
  • id: 3767822
    {'degree': 16, 'field': [378597781809, 0, 85758640488, 0, 3625992972, 0, 457095800, 0, 12217814, 0, 383768, 0, 5740, 0, 136, 0, 1], 'lmfdb_label': '79968.br4', 'torsion': [2, 6]}
  • id: 3767823
    {'degree': 16, 'field': [747762908977, 406839045704, 6842387126, -78249372928, -31897012986, -11524590028, -1046432250, 731706932, 72920935, -20351760, -1880006, 192140, 25148, 168, -208, -8, 1], 'lmfdb_label': '79968.br4', 'torsion': [12]}
• 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: 1946617
    {'conductor': 79968, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '79968.br4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1946618
    {'conductor': 79968, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '79968.br4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1946619
    {'conductor': 79968, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '79968.br4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1946620
    {'conductor': 79968, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '79968.br4', 'prime': 17, '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: 2191541
    {'adelic_gens': [[543, 0, 0, 951], [945, 8, 944, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [48, 791, 567, 384], [7, 6, 946, 947], [603, 462, 770, 155], [568, 819, 525, 274]], 'adelic_image': '952.48.0.?', 'conductor': 79968, 'lmfdb_label': '79968.br4', 'prime': 0}
  • id: 328781
    {'conductor': 79968, 'elladic_image': '8.12.0.9', 'lmfdb_label': '79968.br4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 79968.br does not appear in ec_padic