Elliptic curve data - 115320.l1

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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': '115320q', 'Clabel': '115320q6', 'Cnumber': 6, 'abc_quality': 1.1283678564956034, 'absD': 136320565401600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 7440, 'ainvs': [0, -1, 0, -3075520, 2077018732], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 115320, 'degree': 1843200, 'elladic_images': ['16.24.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1969924673124877143532982300', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1770025017602, 75], 'lmfdb_iso': '115320.l', 'lmfdb_label': '115320.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3200, -70752], 'min_quad_twist_disc': -31, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.1', '24.24.0.bj.1', '40.24.0.cb.2', '48.48.0.x.1', '80.48.0.?', '120.48.0.?', '124.12.0.?', '240.96.1.?', '248.24.0.?', '496.48.0.?', '744.48.0.?', '1240.48.0.?', '1488.96.0.?', '2480.96.0.?', '3720.96.0.?', '7440.192.1.?'], '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15538605044336860891041337694', 'prec': 107}, 'szpiro_ratio': 4.841552991103582, '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, 1, 0, 0, 0, 1, 0, 4, 0, -6, 0, -1, 0, 6, 0, -4, 0], 'aplist': [0, -1, 1, 0, 4, -6, 6, -4, 0, 2, 0, 2, -6, -12, 8, -6, 12, -14, 4, 8, 6, 8, 12, -10, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 115320, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '115320.l', 'trace_hash': 582545912236751803}
• 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': '0.012351411454497095823931626124', 'prec': 107}, 'conductor': 115320, 'gens': [], 'heights': [], 'lmfdb_label': '115320.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.43336783612654137472699827243', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7334713445061654989079930897268058849', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[1013, 0, 1]], 'xcoord_integral_points': [1013]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '31': 'a'}, 'iwp0': 3, 'lmfdb_label': '115320.l1'}
• ec_torsion_growth •

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

  
  
  • id: 5286867
    {'degree': 2, 'field': [-186, 0, 1], 'lmfdb_label': '115320.l1', 'torsion': [4]}
  • id: 5286866
    {'degree': 2, 'field': [-31, 0, 1], 'lmfdb_label': '115320.l1', 'torsion': [4]}
  • id: 5286865
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '115320.l1', 'torsion': [2, 2]}
  • id: 5286869
    {'degree': 4, 'field': [1, 0, -122, 0, 1], 'lmfdb_label': '115320.l1', 'torsion': [8]}
  • id: 5286868
    {'degree': 4, 'field': [625, 0, -74, 0, 1], 'lmfdb_label': '115320.l1', 'torsion': [2, 4]}
  • id: 5286870
    {'degree': 4, 'field': [869, 64, -63, -2, 1], 'lmfdb_label': '115320.l1', 'torsion': [8]}
  • id: 5286874
    {'degree': 8, 'field': [-9853625, 645250, -507950, 38940, -4770, 240, 94, -2, 1], 'lmfdb_label': '115320.l1', 'torsion': [6]}
  • id: 5286872
    {'degree': 8, 'field': [4714, -1496, 1892, -824, 493, -100, 38, -4, 1], 'lmfdb_label': '115320.l1', 'torsion': [8]}
  • id: 5286873
    {'degree': 8, 'field': [261505, 93160, -86354, -13460, 6351, 452, -146, -4, 1], 'lmfdb_label': '115320.l1', 'torsion': [2, 8]}
  • id: 5286871
    {'degree': 8, 'field': [305896, -57248, 56432, 1600, -719, -100, 38, -4, 1], 'lmfdb_label': '115320.l1', 'torsion': [2, 4]}
  • id: 5286879
    {'degree': 16, 'field': [-3725632805, 20949258340, 37226888510, 22031892712, 4882395594, 151350136, -769849080, -255066548, 9032014, 2550812, 1628352, 2852, 12330, 740, 134, -4, 1], 'lmfdb_label': '115320.l1', 'torsion': [2, 6]}
  • id: 5286878
    {'degree': 16, 'field': [637796, 3741744, 11644508, -33959792, 25463126, -11666856, 6504790, -2525736, 1005349, -280172, 88150, -19088, 4516, -644, 112, -8, 1], 'lmfdb_label': '115320.l1', 'torsion': [16]}
  • id: 5286876
    {'degree': 16, 'field': [22221796, 0, -15599760, 0, 5762260, 0, -1245600, 0, 219501, 0, -24660, 0, 1630, 0, -60, 0, 1], 'lmfdb_label': '115320.l1', 'torsion': [2, 8]}
  • id: 5286875
    {'degree': 16, 'field': [1692993316, 0, 1048917360, 0, 219676276, 0, 13770720, 0, -334899, 0, -16020, 0, 2206, 0, -60, 0, 1], 'lmfdb_label': '115320.l1', 'torsion': [4, 4]}
  • id: 5286880
    {'degree': 16, 'field': [2958367617, 3280438872, -683678304, -567574164, 80910756, -6413676, -37530876, -24089580, 5777690, -698000, 60188, -7172, -1516, 724, -56, -4, 1], 'lmfdb_label': '115320.l1', 'torsion': [12]}
  • id: 5286877
    {'degree': 16, 'field': [19720304041, 0, -36782061848, 0, 15950354248, 0, -2037170096, 0, 116411830, 0, -3376136, 0, 50728, 0, -368, 0, 1], 'lmfdb_label': '115320.l1', 'torsion': [2, 16]}
  • id: 5286881
    {'degree': 16, 'field': [21585130160400, 0, -3772893729600, 0, 285210388800, 0, -12250449936, 0, 328261752, 0, -5633016, 0, 60516, 0, -372, 0, 1], 'lmfdb_label': '115320.l1', '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: 2835155
    {'conductor': 115320, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '115320.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2835156
    {'conductor': 115320, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '115320.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2835157
    {'conductor': 115320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '115320.l1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2835158
    {'conductor': 115320, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '115320.l1', 'prime': 31, '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: 2417655
    {'adelic_gens': [[1768, 961, 6479, 1210], [15, 2, 7342, 7427], [1919, 0, 0, 7439], [5, 4, 7436, 7437], [1, 16, 0, 1], [5581, 496, 3968, 1365], [1, 0, 16, 1], [1396, 2821, 279, 4930], [7425, 16, 7424, 17], [6046, 6665, 2325, 4186]], 'adelic_image': '7440.192.1.?', 'conductor': 115320, 'lmfdb_label': '115320.l1', 'prime': 0}
  • id: 454896
    {'conductor': 115320, 'elladic_image': '16.24.0.7', 'lmfdb_label': '115320.l1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 115320.l does not appear in ec_padic