Elliptic curve data - 327990.bl4

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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': '327990bl', 'Clabel': '327990bl3', 'Cnumber': 3, 'abc_quality': 1.035787691267508, 'absD': 63417831897566250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 15080, 'ainvs': [1, 0, 0, 81139, -8218965], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 327990, 'degree': 2867200, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9106804578419920675715012511', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 4], 'jinv': [99317171591, 106616250], 'lmfdb_iso': '327990.bl', 'lmfdb_label': '327990.bl4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 97, -297], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.bb.1', '104.12.0.?', '232.12.0.?', '520.24.0.?', '1160.24.0.?', '1508.12.0.?', '3016.24.0.?', '15080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.428454628393340390817019329', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.22703254284875505397986523492', 'prec': 103}, 'szpiro_ratio': 3.5844655537979713, '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, 1, 1, -1, 1, 0, 1, 1, -1, 0, 1, -1, 0, -1, 1, 6, 1, 0, -1], 'aplist': [1, 1, -1, 0, 0, -1, 6, 0, -4, 0, 0, 6, -2, 4, 0, -6, 0, -6, 4, 16, 2, 0, 4, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 327990, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '327990.bl', 'trace_hash': 625982001088131203}
• 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': '0.021897979303047629815044467936', 'prec': 107}, 'conductor': 327990, 'gens': [[975499, 960605521, 6]], 'heights': [{'__RealLiteral__': 0, 'data': '10.428454628393340390817019329', 'prec': 100}], 'lmfdb_label': '327990.bl4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18906107213759135555060397181', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.772918502258174244538994766459587315', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[367, -367, 2]], 'xcoord_integral_points': []}
• lmfdb_label 327990.bl4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13770894
    {'degree': 2, 'field': [-58, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [4]}
  • id: 13770893
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [2, 2]}
  • id: 13770895
    {'degree': 2, 'field': [377, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [4]}
  • id: 13770896
    {'degree': 4, 'field': [441, 0, -16, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [2, 4]}
  • id: 13770900
    {'degree': 8, 'field': [-843880, -328984, -88000, -22842, -1398, 120, -35, -2, 1], 'lmfdb_label': '327990.bl4', 'torsion': [6]}
  • id: 13770898
    {'degree': 8, 'field': [-142884, 176400, -41112, -6400, 768, -200, -52, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [8]}
  • id: 13770899
    {'degree': 8, 'field': [6241, 0, 64577, 0, 5948, 0, 137, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [8]}
  • id: 13770897
    {'degree': 8, 'field': [185056, 61568, 800, 3328, 2100, -208, 84, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [2, 4]}
  • id: 13770901
    {'degree': 16, 'field': [133772356, -89011936, 29614208, 8853312, -12134300, 2754336, 1146496, -123968, 290357, 81848, 5408, 5200, 714, -104, 0, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [4, 4]}
  • id: 13770902
    {'degree': 16, 'field': [273042576, 0, -19548864, 0, 157550976, 0, -52640224, 0, 7928984, 0, -500176, 0, 14848, 0, -200, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [2, 8]}
  • id: 13770905
    {'degree': 16, 'field': [4785872400, 0, -15946192728, 0, 978076980, 0, 50196104, 0, -2216668, 0, -180220, 0, 6280, 0, -116, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [12]}
  • id: 13770903
    {'degree': 16, 'field': [5914225216, 0, 470137792, 0, -116365008, 0, -20797168, 0, 4875988, 0, -362344, 0, 12228, 0, -176, 0, 1], 'lmfdb_label': '327990.bl4', 'torsion': [2, 8]}
  • id: 13770906
    {'degree': 16, 'field': [3052640423652, -170852951184, -223531441920, 50910084080, 14132453365, -3646338612, -95437812, 119074332, -8583009, -516100, 139804, -58080, 2175, 1128, -84, -4, 1], 'lmfdb_label': '327990.bl4', 'torsion': [12]}
  • id: 13770904
    {'degree': 16, 'field': [23619605503680, 14292999942912, 2954737393632, 199968074208, 32945209056, 12734585472, 964399836, -114544152, -9456244, -1183388, 130484, 3924, 5229, -972, -14, -4, 1], 'lmfdb_label': '327990.bl4', 'torsion': [2, 6]}
• 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: 8121332
    {'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '327990.bl4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8121333
    {'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '327990.bl4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 8121334
    {'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '327990.bl4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8121335
    {'conductor': 327990, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '327990.bl4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8121336
    {'conductor': 327990, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '327990.bl4', 'prime': 29, 'reduction_type': 0, '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: 3718115
    {'adelic_gens': [[4844, 7801, 12383, 8846], [2408, 11513, 9193, 6120], [1, 0, 8, 1], [5656, 203, 2929, 10238], [7, 6, 15074, 15075], [15073, 8, 15072, 9], [1, 8, 0, 1], [7799, 0, 0, 15079], [1, 4, 4, 17], [3017, 2088, 13108, 8353]], 'adelic_image': '15080.48.0.?', 'conductor': 327990, 'lmfdb_label': '327990.bl4', 'prime': 0}
  • id: 1144078
    {'conductor': 327990, 'elladic_image': '4.6.0.1', 'lmfdb_label': '327990.bl4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 327990.bl does not appear in ec_padic