Elliptic curve data - 381150.pb6

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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': '381150pb', 'Clabel': '381150pb5', 'Cnumber': 5, 'abc_quality': 0.9894412364238445, 'absD': 7026229357070869445800781250, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -348004130, 4744370517747], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 381150, 'degree': 212336640, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0349474909087516652960943970', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 391, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-230979395175477481, 348191894531250], 'lmfdb_iso': '381150.pb', 'lmfdb_label': '381150.pb6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -12783, 1055068], 'min_quad_twist_disc': 165, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.48.0.bu.4', '56.12.0-4.c.1.6', '60.48.0-12.g.1.3', '120.96.0.?', '132.48.0.?', '165.8.0.?', '168.96.0.?', '264.96.1.?', '330.24.0.?', '440.12.0.?', '660.96.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.0780066806721767825267473860', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 27225], [3, 2, 42350], [5, 18, 15246], [7, 8, 54450], [11, 72, 3150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4819747539584613602671203229', 'prec': 100}, 'szpiro_ratio': 5.594845381338577, '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, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, -6, 0, 4, 0], 'aplist': [1, 0, 0, 1, 0, 2, -6, 4, 0, 6, -4, -2, 6, -4, 0, 6, 0, -2, 4, 0, 2, -8, -12, -6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 381150, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '381150.pb', 'trace_hash': 764070077131626033}
• 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': '0.00031281613072227903568516367642', 'prec': 113}, 'conductor': 381150, 'gens': [[-344131, 97309755, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '6.0780066806721767825267473860', 'prec': 100}], 'lmfdb_label': '381150.pb6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.037714883820671765550706768014', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '14.670804212660350871330485992046381750', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-93829, 93825, 2]], 'xcoord_integral_points': []}
• lmfdb_label 381150.pb6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15783132
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '381150.pb6', 'torsion': [6]}
  • id: 15783130
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [4]}
  • id: 15783129
    {'degree': 2, 'field': [66, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [2, 2]}
  • id: 15783131
    {'degree': 2, 'field': [110, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [4]}
  • id: 15783135
    {'degree': 4, 'field': [1, 0, -13, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [12]}
  • id: 15783133
    {'degree': 4, 'field': [121, 0, 88, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [2, 4]}
  • id: 15783134
    {'degree': 4, 'field': [196, 0, 38, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [2, 6]}
  • id: 15783136
    {'degree': 4, 'field': [676, 0, 58, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [12]}
  • id: 15783137
    {'degree': 6, 'field': [32774, -13062, 168, 223, 45, -3, 1], 'lmfdb_label': '381150.pb6', 'torsion': [6]}
  • id: 15783141
    {'degree': 8, 'field': [441, -1260, 2340, -360, 133, -60, -10, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [2, 12]}
  • id: 15783139
    {'degree': 8, 'field': [15876, 0, -207144, 0, 261, 0, 6, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [8]}
  • id: 15783140
    {'degree': 8, 'field': [15876, 0, -15120, 0, 7548, 0, -120, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [8]}
  • id: 15783138
    {'degree': 8, 'field': [74440, 11360, -10736, -1264, 673, -52, 22, -4, 1], 'lmfdb_label': '381150.pb6', 'torsion': [2, 4]}
  • id: 15783143
    {'degree': 12, 'field': [86436, 0, 148176, 0, 1125628, 0, -28540, 0, -72, 0, -34, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [2, 6]}
  • id: 15783142
    {'degree': 12, 'field': [935089, 4661907, 7169081, -2882958, 352671, -15459, -26660, 5661, 1023, 120, -37, -3, 1], 'lmfdb_label': '381150.pb6', 'torsion': [3, 6]}
  • id: 15783144
    {'degree': 12, 'field': [332259984, 0, 27017424, 0, 2127580, 0, 55453, 0, 1599, 0, -17, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [12]}
  • id: 15783145
    {'degree': 12, 'field': [789824036, -748398624, 219733392, 2113644, -390102, -1906668, 201529, -5142, 453, 236, 87, -6, 1], 'lmfdb_label': '381150.pb6', 'torsion': [12]}
  • id: 15783150
    {'degree': 16, 'field': [9603801, 0, -238156230, 0, 194425981, 0, -2874530, 0, 635636, 0, -48050, 0, -619, 0, 10, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [24]}
  • id: 15783146
    {'degree': 16, 'field': [12180100, 0, -11819920, 0, 10204036, 0, 96992, 0, 125149, 0, -4564, 0, 94, 0, -28, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [4, 4]}
  • id: 15783147
    {'degree': 16, 'field': [3603000625, 0, 3452157800, 0, 1123130176, 0, 155521688, 0, 9266194, 0, -838936, 0, 21184, 0, -232, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [2, 8]}
  • id: 15783149
    {'degree': 16, 'field': [4641293475, -1008025200, 1022312700, -21215880, -7307076, 20141016, -4437048, -1979208, 524953, -13112, -4004, 3136, -98, -224, 52, -8, 1], 'lmfdb_label': '381150.pb6', 'torsion': [2, 12]}
  • id: 15783148
    {'degree': 16, 'field': [122707287616, 0, 39376662048, 0, 3934536628, 0, 106216956, 0, 4920945, 0, 273096, 0, 7018, 0, 108, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [2, 8]}
  • id: 15783151
    {'degree': 16, 'field': [1565001000000, 0, -262057680000, 0, 19437429600, 0, -880290720, 0, 28702836, 0, -697104, 0, 12156, 0, -144, 0, 1], 'lmfdb_label': '381150.pb6', 'torsion': [24]}
  • id: 15783152
    {'degree': 18, 'field': [25266762225, -111032990325, 204122180250, -85377346200, -20643624225, -38873621925, 4476242055, 2221613055, 395100225, -54801630, -1506285, -36585, 97891, -47796, -9615, 1660, -30, -6, 1], 'lmfdb_label': '381150.pb6', 'torsion': [18]}
• 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: 9429534
    {'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '381150.pb6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9429535
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '381150.pb6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9429536
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '381150.pb6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9429537
    {'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '381150.pb6', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9429538
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '381150.pb6', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 4033305
    {'adelic_gens': [[4242, 2719, 7037, 6692], [5543, 9216, 1836, 8951], [15, 106, 7934, 11], [1, 12, 12, 145], [2326, 21, 2025, 8866], [9217, 24, 9216, 25], [1, 24, 0, 1], [5864, 9237, 2139, 86], [9224, 4599, 1825, 3454], [1, 0, 24, 1], [5281, 24, 7932, 289]], 'adelic_image': '9240.384.5.?', 'conductor': 381150, 'lmfdb_label': '381150.pb6', 'prime': 0}
  • id: 1303881
    {'conductor': 381150, 'elladic_image': '4.6.0.1', 'lmfdb_label': '381150.pb6', 'modell_image': '2B', 'prime': 2}
  • id: 1303882
    {'conductor': 381150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '381150.pb6', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 381150.pb does not appear in ec_padic