Elliptic curve data - 111090.di4

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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': '111090dd', 'Clabel': '111090dd3', 'Cnumber': 3, 'abc_quality': 1.0154047869543323, 'absD': 304657859562000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 19320, 'ainvs': [1, 0, 0, -1418260, 649983872], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 111090, 'degree': 1824768, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0736259404405542948120868951', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 86, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2131200347946769, 2058000], 'lmfdb_iso': '111090.di', 'lmfdb_label': '111090.di4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2681, -53655], 'min_quad_twist_disc': -23, '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.bs.2', '56.12.0.bb.1', '60.48.0.c.2', '69.8.0-3.a.1.1', '84.48.0.?', '120.96.1.?', '138.24.0.?', '168.96.1.?', '184.12.0.?', '210.24.0.?', '276.48.0.?', '420.96.1.?', '552.96.0.?', '644.12.0.?', '840.192.5.?', '1288.24.0.?', '1380.96.0.?', '1932.96.0.?', '2760.192.1.?', '3864.192.1.?', '4830.48.0.?', '9660.192.1.?', '19320.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8301162554984189145069686862', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 55545], [3, 4, 1058], [5, 6, 22218], [7, 8, 15870], [23, 266, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50587883247597944940871047920', 'prec': 103}, 'szpiro_ratio': 4.65725427207754, '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, -1, 1, 1, 1, 0, 1, 2, -1, 1, 1, 6, 1, 4, 1], 'aplist': [1, 1, 1, -1, 0, 2, 6, 4, 0, -6, -4, -2, 6, -8, -12, -6, -12, -2, -8, 0, 14, 16, -12, -6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 111090, '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': '111090.di', 'trace_hash': 10780240660845446}
• 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': '0.015807798561449383060731076597', 'prec': 107}, 'conductor': 111090, 'gens': [[1102, 20080, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8301162554984189145069686862', 'prec': 100}], 'lmfdb_label': '111090.di4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.45705742627210285826885362077', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.522307821467381021862410044433794341', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[688, -344, 1]], 'xcoord_integral_points': [688, 1102]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [4, 0], '5': [4, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '111090.di4'}
• ec_torsion_growth •

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

  
  
  • id: 5114337
    {'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '111090.di4', 'torsion': [4]}
  • id: 5114338
    {'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '111090.di4', 'torsion': [4]}
  • id: 5114336
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '111090.di4', 'torsion': [2, 2]}
  • id: 5114339
    {'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '111090.di4', 'torsion': [6]}
  • id: 5114340
    {'degree': 4, 'field': [-320, 340, -76, -1, 1], 'lmfdb_label': '111090.di4', 'torsion': [2, 4]}
  • id: 5114343
    {'degree': 4, 'field': [-20, 76, -31, -1, 1], 'lmfdb_label': '111090.di4', 'torsion': [12]}
  • id: 5114341
    {'degree': 4, 'field': [81, 0, -87, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [2, 6]}
  • id: 5114342
    {'degree': 4, 'field': [256, 0, -37, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [12]}
  • id: 5114344
    {'degree': 6, 'field': [354, -306, 108, -25, 21, -3, 1], 'lmfdb_label': '111090.di4', 'torsion': [6]}
  • id: 5114348
    {'degree': 8, 'field': [-1916, -3936, -785, 2366, 1154, -20, -66, -2, 1], 'lmfdb_label': '111090.di4', 'torsion': [2, 12]}
  • id: 5114346
    {'degree': 8, 'field': [1680, 4080, -3090, -1920, 811, 176, -54, -4, 1], 'lmfdb_label': '111090.di4', 'torsion': [8]}
  • id: 5114347
    {'degree': 8, 'field': [4792, 424, 890, -2696, 1519, -208, 74, -4, 1], 'lmfdb_label': '111090.di4', 'torsion': [8]}
  • id: 5114345
    {'degree': 8, 'field': [3182656, 0, 354449, 0, 12291, 0, 179, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [2, 4]}
  • id: 5114352
    {'degree': 12, 'field': [100972, 130608, 53100, -6804, 6708, -3492, 5031, 0, 723, -24, 45, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [12]}
  • id: 5114349
    {'degree': 12, 'field': [125316, -108324, 55404, -15348, -3420, 9090, -1853, -183, 258, -13, -12, -3, 1], 'lmfdb_label': '111090.di4', 'torsion': [3, 6]}
  • id: 5114351
    {'degree': 12, 'field': [240076, 75456, 44220, -72228, -1776, -11844, 7531, 0, 1095, -24, 57, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [12]}
  • id: 5114350
    {'degree': 12, 'field': [1075796236, -13582224, -127687380, -5219508, 8323044, 234396, -320609, 0, 8115, -24, -123, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [2, 6]}
  • id: 5114355
    {'degree': 16, 'field': [65536, 0, -145025760, 0, 121305796, 0, -36639060, 0, 5057121, 0, -345000, 0, 11626, 0, -180, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [2, 8]}
  • id: 5114357
    {'degree': 16, 'field': [2157961, 0, -31201032, 0, 34022998, 0, -12428004, 0, 1995255, 0, -160044, 0, 6598, 0, -132, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [24]}
  • id: 5114356
    {'degree': 16, 'field': [511603920, 30729600, 571076820, 1389577140, 305861361, -283907214, -56248410, 7711890, 5938846, 818420, -343166, -46450, 10966, 770, -170, -4, 1], 'lmfdb_label': '111090.di4', 'torsion': [2, 12]}
  • id: 5114353
    {'degree': 16, 'field': [959512576, 0, 170522880, 0, 1101376, 0, 13398180, 0, 1630641, 0, 239580, 0, 33526, 0, 360, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [4, 4]}
  • id: 5114358
    {'degree': 16, 'field': [1114198425, -916888680, 795821652, -422328816, 193840186, -81982360, 26405160, -9199032, 2476539, -624104, 156872, -26200, 6210, -672, 132, -8, 1], 'lmfdb_label': '111090.di4', 'torsion': [24]}
  • id: 5114354
    {'degree': 16, 'field': [3288334336, 0, 1765793792, 0, 346938368, 0, 37430400, 0, 2909456, 0, 155040, 0, 5528, 0, 128, 0, 1], 'lmfdb_label': '111090.di4', 'torsion': [2, 8]}
  • id: 5114359
    {'degree': 18, 'field': [48918255975, -146039114700, 188342735310, -131192342349, 45903998025, -447524904, -6275536808, 1998615423, 106553646, -170463035, 15451263, 6821811, -947091, -157329, 21525, 1882, -231, -9, 1], 'lmfdb_label': '111090.di4', '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: 2731792
    {'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '111090.di4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2731793
    {'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '111090.di4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2731794
    {'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '111090.di4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2731795
    {'conductor': 111090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '111090.di4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2731796
    {'conductor': 111090, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '111090.di4', 'prime': 23, '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: 2391682
    {'adelic_gens': [[18976, 14283, 6141, 10834], [8649, 5428, 10580, 8189], [1, 12, 12, 145], [9592, 3381, 14835, 11386], [12599, 0, 0, 19319], [19297, 24, 19296, 25], [4417, 17664, 1794, 13111], [1, 24, 0, 1], [576, 713, 18791, 8994], [15, 106, 18014, 10091], [1, 0, 24, 1]], 'adelic_image': '19320.384.5.?', 'conductor': 111090, 'lmfdb_label': '111090.di4', 'prime': 0}
  • id: 440851
    {'conductor': 111090, 'elladic_image': '4.6.0.1', 'lmfdb_label': '111090.di4', 'modell_image': '2B', 'prime': 2}
  • id: 440852
    {'conductor': 111090, 'elladic_image': '3.4.0.1', 'lmfdb_label': '111090.di4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 5797323
    {'lmfdb_iso': '111090.di', 'p': 13, 'prec': 20, 'unit': 877777799435874810879, 'val': 1}
  • id: 5797325
    {'lmfdb_iso': '111090.di', 'p': 17, 'prec': 20, 'unit': 196173025821654523521581, 'val': 1}
  • id: 5797326
    {'lmfdb_iso': '111090.di', 'p': 19, 'prec': 20, 'unit': 907514553783575912252941, 'val': 1}
  • id: 5797322
    {'lmfdb_iso': '111090.di', 'p': 29, 'prec': 20, 'unit': 5114489498833008996750872523, 'val': 1}
  • id: 5797333
    {'lmfdb_iso': '111090.di', 'p': 31, 'prec': 20, 'unit': 20431511059060498099202034024, 'val': 1}
  • id: 5797319
    {'lmfdb_iso': '111090.di', 'p': 37, 'prec': 20, 'unit': 177135291227020871730392470627, 'val': 1}
  • id: 5797320
    {'lmfdb_iso': '111090.di', 'p': 41, 'prec': 20, 'unit': 1057641295201214679382111282165, 'val': 1}
  • id: 5797321
    {'lmfdb_iso': '111090.di', 'p': 43, 'prec': 20, 'unit': 9646694479749053899497546261108, 'val': 1}
  • id: 5797331
    {'lmfdb_iso': '111090.di', 'p': 47, 'prec': 20, 'unit': 36465982477286748425892730292973, 'val': 1}
  • id: 5797327
    {'lmfdb_iso': '111090.di', 'p': 53, 'prec': 20, 'unit': 555875439345955533783235971632930, 'val': 1}
  • id: 5797328
    {'lmfdb_iso': '111090.di', 'p': 59, 'prec': 20, 'unit': 2970940901940309271978337789431962, 'val': 1}
  • id: 5797332
    {'lmfdb_iso': '111090.di', 'p': 61, 'prec': 20, 'unit': 2970141661014748316097413647677024, 'val': 1}
  • id: 5797318
    {'lmfdb_iso': '111090.di', 'p': 67, 'prec': 20, 'unit': 29503930027575994297234036608428359, 'val': 1}
  • id: 5797329
    {'lmfdb_iso': '111090.di', 'p': 73, 'prec': 20, 'unit': 140401713984271945970894975861951084, 'val': 1}
  • id: 5797324
    {'lmfdb_iso': '111090.di', 'p': 79, 'prec': 20, 'unit': 1020290462384292283596475617111498721, 'val': 1}
  • id: 5797317
    {'lmfdb_iso': '111090.di', 'p': 83, 'prec': 20, 'unit': 1527147862111838852286262623717445271, 'val': 1}
  • id: 5797330
    {'lmfdb_iso': '111090.di', 'p': 89, 'prec': 20, 'unit': 25154712890595959575855709642801961, 'val': 2}
  • id: 5797316
    {'lmfdb_iso': '111090.di', 'p': 97, 'prec': 20, 'unit': 22977506061488777810114677153464948831, 'val': 1}