Elliptic curve data - 10080.d1

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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': '10080c', 'Clabel': '10080c2', 'Cnumber': 2, 'abc_quality': 1.0256756537945118, 'absD': 29640771417600000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 0, 0, -462348, 120720672], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10080, 'degree': 92160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0343747297212015715100055811', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [135574940230848, 367653125], 'lmfdb_iso': '10080.d', 'lmfdb_label': '10080.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -462348, 120720672], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.a.1', '84.6.0.?', '140.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5687907747638635469707930619', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51726833266017399354633953195', 'prec': 103}, 'szpiro_ratio': 5.504895198873842, '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, 0, 0, -1, 0, -1, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 2, 0], 'aplist': [0, 0, -1, -1, -4, 0, 2, 2, 6, 4, -2, -10, -10, 4, 4, 2, 12, -10, -12, 0, 4, 16, -4, 6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 10080, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10080.d', 'trace_hash': 496778965289627958}
• 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': '0.017098757833250655329017528992', 'prec': 107}, 'conductor': 10080, 'gens': [[354, 1188, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5687907747638635469707930619', 'prec': 100}], 'lmfdb_label': '10080.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37350503357921432581332571405', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8378251383446113523166598500337717105', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[408, 0, 1]], 'xcoord_integral_points': [-278, 354, 408]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10080.d1'}
• ec_torsion_growth •

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

  
  
  • id: 522720
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '10080.d1', 'torsion': [2, 2]}
  • id: 522721
    {'degree': 4, 'field': [15, 0, -12, 0, 1], 'lmfdb_label': '10080.d1', 'torsion': [4]}
  • id: 522724
    {'degree': 8, 'field': [-3, 0, -16, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '10080.d1', 'torsion': [6]}
  • id: 522722
    {'degree': 8, 'field': [109, 92, -952, -910, 463, 106, -46, -2, 1], 'lmfdb_label': '10080.d1', 'torsion': [2, 4]}
  • id: 522723
    {'degree': 8, 'field': [12100, 0, 4600, 0, 660, 0, 40, 0, 1], 'lmfdb_label': '10080.d1', 'torsion': [2, 4]}
  • id: 522726
    {'degree': 16, 'field': [4, 0, 304, 0, 2740, 0, -2348, 0, 1105, 0, -488, 0, 142, 0, -20, 0, 1], 'lmfdb_label': '10080.d1', 'torsion': [2, 6]}
  • id: 522725
    {'degree': 16, 'field': [2805625, 0, -2377700, 0, -1106950, 0, 126040, 0, 21775, 0, -5632, 0, 806, 0, -52, 0, 1], 'lmfdb_label': '10080.d1', '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: 213357
    {'conductor': 10080, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '10080.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 213358
    {'conductor': 10080, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '10080.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 213359
    {'conductor': 10080, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '10080.d1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 213360
    {'conductor': 10080, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '10080.d1', 'prime': 7, '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: 1730717
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [316, 109, 105, 316], [1, 2, 2, 5], [284, 1, 139, 0], [1, 4, 0, 1], [417, 4, 416, 5], [254, 1, 83, 0], [241, 4, 62, 9]], 'adelic_image': '420.12.0.?', 'conductor': 10080, 'lmfdb_label': '10080.d1', 'prime': 0}
  • id: 48750
    {'conductor': 10080, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10080.d1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 426171
    {'lmfdb_iso': '10080.d', 'p': 11, 'prec': 20, 'unit': 21370406317604273112, 'val': 1}
  • id: 426172
    {'lmfdb_iso': '10080.d', 'p': 17, 'prec': 20, 'unit': 122573234937819962561951, 'val': 1}
  • id: 426173
    {'lmfdb_iso': '10080.d', 'p': 19, 'prec': 20, 'unit': 794797984337049921238555, 'val': 1}
  • id: 426177
    {'lmfdb_iso': '10080.d', 'p': 23, 'prec': 20, 'unit': 73384279680157630515311605, 'val': 1}
  • id: 426169
    {'lmfdb_iso': '10080.d', 'p': 29, 'prec': 20, 'unit': 2494097435150079609582788534, 'val': 1}
  • id: 426181
    {'lmfdb_iso': '10080.d', 'p': 31, 'prec': 20, 'unit': 10771072993972477345772789056, 'val': 1}
  • id: 426166
    {'lmfdb_iso': '10080.d', 'p': 37, 'prec': 20, 'unit': 605984684713427807472747032037, 'val': 1}
  • id: 426167
    {'lmfdb_iso': '10080.d', 'p': 41, 'prec': 20, 'unit': 4001597220297040544133166339385, 'val': 1}
  • id: 426168
    {'lmfdb_iso': '10080.d', 'p': 43, 'prec': 20, 'unit': 15176297462539588603620380029, 'val': 2}
  • id: 426179
    {'lmfdb_iso': '10080.d', 'p': 47, 'prec': 20, 'unit': 28021149440522465899438293815459, 'val': 1}
  • id: 426174
    {'lmfdb_iso': '10080.d', 'p': 53, 'prec': 20, 'unit': 488647464163157903634414435418756, 'val': 1}
  • id: 426175
    {'lmfdb_iso': '10080.d', 'p': 59, 'prec': 20, 'unit': 2605728068685860854994353117854990, 'val': 1}
  • id: 426180
    {'lmfdb_iso': '10080.d', 'p': 61, 'prec': 20, 'unit': 76094351519852576940147583054107, 'val': 1}
  • id: 426165
    {'lmfdb_iso': '10080.d', 'p': 67, 'prec': 20, 'unit': 41067436568411622713142524285120478, 'val': 1}
  • id: 426176
    {'lmfdb_iso': '10080.d', 'p': 73, 'prec': 20, 'unit': 104472640316936631353000609186665934, 'val': 1}
  • id: 426170
    {'lmfdb_iso': '10080.d', 'p': 79, 'prec': 20, 'unit': 367124634386698811994885159446622018, 'val': 1}
  • id: 426164
    {'lmfdb_iso': '10080.d', 'p': 83, 'prec': 20, 'unit': 2102693453577217539419749227199177193, 'val': 1}
  • id: 426178
    {'lmfdb_iso': '10080.d', 'p': 89, 'prec': 20, 'unit': 10767557752626829725496545575922171995, 'val': 1}
  • id: 426163
    {'lmfdb_iso': '10080.d', 'p': 97, 'prec': 20, 'unit': 892393600714265102042977939115587906, 'val': 1}