Elliptic curve data - 340032.bq2

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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': '340032bq', 'Clabel': '340032bq1', 'Cnumber': 1, 'abc_quality': 0.9191379381252297, 'absD': 2236851623559168, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [0, -1, 0, -248193, 47729025], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 340032, 'degree': 2064384, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8517321583610379585248167394', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2], 'jinv': [-6449916994998625, 8532911772], 'lmfdb_iso': '340032.bq', 'lmfdb_label': '340032.bq2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3878, 92736], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5504577867827642234900107965', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81201138752111999439896855721', 'prec': 103}, 'szpiro_ratio': 3.837839606905421, '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, 0, 0, 1, 0, 1, 0, 1, 0, -6, 0, 0, 0, 4, 0, 2, 0], 'aplist': [0, -1, 0, 1, 1, -6, 4, 2, -1, -2, -2, -2, 0, -4, -2, -10, 0, 6, -12, 4, 4, 0, 6, 14, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 340032, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '340032.bq', 'trace_hash': 709024418850564546}
• 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': '0.024638024532568442428583825371', 'prec': 107}, 'conductor': 340032, 'gens': [[129, 4224, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5504577867827642234900107965', 'prec': 100}], 'lmfdb_label': '340032.bq2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.46078495657491190640648042149', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7154209916314402902501609092356974503', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-575, 0, 1]], 'xcoord_integral_points': [-575, 129, 483]}
• lmfdb_label 340032.bq2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14220639
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '340032.bq2', 'torsion': [2, 2]}
  • id: 14220640
    {'degree': 4, 'field': [-63, 0, -10, 0, 1], 'lmfdb_label': '340032.bq2', 'torsion': [4]}
  • id: 14220643
    {'degree': 8, 'field': [-1732800, 0, 84862, 0, -4560, 0, 0, 0, 1], 'lmfdb_label': '340032.bq2', 'torsion': [6]}
  • id: 14220641
    {'degree': 8, 'field': [1381, 726, 1417, -46, 314, -2, 27, -2, 1], 'lmfdb_label': '340032.bq2', 'torsion': [2, 4]}
  • id: 14220642
    {'degree': 8, 'field': [2552, -2992, 2940, 116, -87, 32, -6, -4, 1], 'lmfdb_label': '340032.bq2', 'torsion': [2, 4]}
  • id: 14220645
    {'degree': 16, 'field': [3485483310344, 420902608840, -399942077486, -41470649080, 19623476684, 1294307616, -364363292, -58574944, 15935327, -762244, 53880, 53432, -8602, -168, 44, -8, 1], 'lmfdb_label': '340032.bq2', 'torsion': [2, 6]}
  • id: 14220644
    {'degree': 16, 'field': [19750931416804, 0, 9992667890240, 0, 1250420675700, 0, -6108926264, 0, -615392603, 0, -5768108, 0, 23094, 0, 404, 0, 1], 'lmfdb_label': '340032.bq2', 'torsion': [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: 8412949
    {'conductor': 340032, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '340032.bq2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 8412950
    {'conductor': 340032, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '340032.bq2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8412951
    {'conductor': 340032, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '340032.bq2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8412952
    {'conductor': 340032, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '340032.bq2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8412953
    {'conductor': 340032, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '340032.bq2', 'prime': 23, '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: 3788750
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [613, 4, 612, 5], [90, 1, 263, 0], [1, 2, 2, 5], [1, 4, 0, 1], [309, 4, 2, 9], [57, 4, 114, 9], [81, 540, 384, 231]], 'adelic_image': '616.12.0.?', 'conductor': 340032, 'lmfdb_label': '340032.bq2', 'prime': 0}
  • id: 1179722
    {'conductor': 340032, 'elladic_image': '2.3.0.1', 'lmfdb_label': '340032.bq2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 340032.bq does not appear in ec_padic