Elliptic curve data - 388080.bq3

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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': '388080bq', 'Clabel': '388080bq6', 'Cnumber': 6, 'abc_quality': 1.01113946906003, 'absD': 17153408653422725376000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -2347891203, 43788550551298], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 388080, 'degree': 191102976, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9912564403431139178838687079', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 42, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4074571110566294433649, 48828650062500], 'lmfdb_iso': '388080.bq', 'lmfdb_label': '388080.bq3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -332751, -73907019], 'min_quad_twist_disc': -84, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0-6.a.1.6', '84.96.0.?', '120.96.0.?', '132.96.0.?', '280.12.0.?', '308.12.0.?', '440.12.0.?', '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': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 784], [5, 6, 77616], [7, 32, 7920], [11, 12, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7758480409214571102163375963', 'prec': 100}, 'szpiro_ratio': 5.932407358411919, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, -1, 0, -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': 388080, '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': '388080.bq', 'trace_hash': 2180422594980234002}
• 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': '0.00034138049532289130559808446049', 'prec': 113}, 'conductor': 388080, 'gens': [], 'heights': [], 'lmfdb_label': '388080.bq3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.062960522097068605626663063270', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0073683535530976900266090123201864025', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[27902, 0, 1], [28049, 0, 1]], 'xcoord_integral_points': [-55951, 27902, 28049]}
• lmfdb_label 388080.bq3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16038737
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 6]}
  • id: 16038740
    {'degree': 4, 'field': [361, 19, 20, -1, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 4]}
  • id: 16038738
    {'degree': 4, 'field': [1225, 0, -140, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 4]}
  • id: 16038739
    {'degree': 4, 'field': [18225, 0, -60, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 4]}
  • id: 16038741
    {'degree': 6, 'field': [336, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 6]}
  • id: 16038744
    {'degree': 8, 'field': [-999, -2340, -840, 1080, 577, -60, -50, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 12]}
  • id: 16038742
    {'degree': 8, 'field': [1, 0, 9, 0, 80, 0, 9, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 12]}
  • id: 16038743
    {'degree': 8, 'field': [1585929, -94392, 99622, -10564, 5543, -316, 110, -4, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 12]}
  • id: 16038745
    {'degree': 12, 'field': [113569, -2022, -5019, 13390, -4950, -2142, 813, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '388080.bq3', 'torsion': [6, 6]}
  • id: 16038746
    {'degree': 16, 'field': [390625, 0, 0, 0, -1234375, 0, 0, 0, 3900000, 0, 0, 0, -1975, 0, 0, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [4, 4]}
  • id: 16038749
    {'degree': 16, 'field': [22986628, 21435484, 166113122, 136682798, 119256089, 68097578, 38844828, 12655818, 4101142, 640680, 214434, 14654, 7292, 98, 128, -2, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 8]}
  • id: 16038747
    {'degree': 16, 'field': [439950625, 0, -815410000, 0, 210257000, 0, -29364000, 0, 3775250, 0, -301200, 0, 10280, 0, -160, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 8]}
  • id: 16038748
    {'degree': 16, 'field': [16656397500625, 0, -2717642120000, 0, 40560265000, 0, 16058278000, 0, 553547650, 0, 980800, 0, -42200, 0, -80, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 8]}
  • id: 16038750
    {'degree': 18, 'field': [69400007556621, -414507200706144, 571764817517250, 216858915138614, -23005661078484, -8977553615100, -310218393233, -25876467330, 15727809300, 2345119952, 103350849, 15219498, -282980, -45444, -11907, -1966, -105, 0, 1], 'lmfdb_label': '388080.bq3', 'torsion': [2, 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: 9597615
    {'conductor': 388080, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '388080.bq3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9597616
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '388080.bq3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9597617
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '388080.bq3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9597618
    {'conductor': 388080, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '388080.bq3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9597619
    {'conductor': 388080, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '388080.bq3', 'prime': 11, '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: 4073643
    {'adelic_gens': [[2521, 12, 5886, 73], [9, 4, 9224, 9233], [4627, 6, 9234, 9235], [2303, 9234, 48, 41], [1, 0, 12, 1], [9229, 12, 9228, 13], [7399, 6, 5538, 9235], [1, 12, 0, 1], [3079, 9228, 7694, 9167], [3959, 9234, 0, 9239]], 'adelic_image': '9240.384.5.?', 'conductor': 388080, 'lmfdb_label': '388080.bq3', 'prime': 0}
  • id: 1323760
    {'conductor': 388080, 'elladic_image': '2.6.0.1', 'lmfdb_label': '388080.bq3', 'modell_image': '2Cs', 'prime': 2}
  • id: 1323761
    {'conductor': 388080, 'elladic_image': '3.4.0.1', 'lmfdb_label': '388080.bq3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 388080.bq does not appear in ec_padic