Elliptic curve data - 10080.ce4

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '10080bb', 'Clabel': '10080bb4', 'Cnumber': 4, 'abc_quality': 1.0456675584451367, 'absD': 1240029000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -105852, 55191904], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10080, 'degree': 122880, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1541937813242046913872788055', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 56, 'isogeny_degrees': [1, 2, 4], 'jinv': [-43927191786304, 415283203125], 'lmfdb_iso': '10080.ce', 'lmfdb_label': '10080.ce4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -11761, 2048065], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '84.24.0.?', '120.24.0.?', '280.24.0.?', '840.48.0.?'], '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, 'serre_invariants': [[2, 2, 63], [3, 8, 224], [5, 6, 2016], [7, 8, 1440]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91174045643020453627242406558', 'prec': 103}, 'szpiro_ratio': 5.334579438646735, '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, -2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 1, 1, 4, -2, 2, 4, 0, -10, 0, 6, 10, 8, -4, -6, 0, 10, 8, -8, -2, -4, -12, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 10080, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '10080.ce', 'trace_hash': 197321776617837720}
• 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': '0.013455227824072392410506084772', 'prec': 107}, 'conductor': 10080, 'gens': [], 'heights': [], 'lmfdb_label': '10080.ce4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23292915409370154101383979585', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7951498491244184921660775501446885919', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-472, 0, 1]], 'xcoord_integral_points': [-472]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '10080.ce4'}
• ec_torsion_growth •

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

  
  
  • id: 523472
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '10080.ce4', 'torsion': [4]}
  • id: 523473
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [4]}
  • id: 523471
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [2, 2]}
  • id: 523475
    {'degree': 4, 'field': [25, 0, 11, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [2, 4]}
  • id: 523474
    {'degree': 4, 'field': [189, 0, 0, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [2, 4]}
  • id: 523479
    {'degree': 8, 'field': [-300, 0, 192, 0, -36, 0, -4, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [6]}
  • id: 523478
    {'degree': 8, 'field': [441, 0, 0, 0, 78, 0, 0, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [8]}
  • id: 523476
    {'degree': 8, 'field': [441, 0, 0, 0, 483, 0, 0, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [4, 4]}
  • id: 523477
    {'degree': 8, 'field': [2401, 0, 0, 0, -182, 0, 0, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [8]}
  • id: 523485
    {'degree': 16, 'field': [250, -1100, 3020, -5892, 8760, -10280, 9922, -8180, 5959, -3852, 2238, -1108, 476, -160, 44, -8, 1], 'lmfdb_label': '10080.ce4', 'torsion': [12]}
  • id: 523481
    {'degree': 16, 'field': [400, 0, 136640, 0, 60736, 0, 42848, 0, 14104, 0, 464, 0, -176, 0, 8, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [2, 8]}
  • id: 523483
    {'degree': 16, 'field': [70065, 73548, 107676, 48492, 61938, 1548, 4692, -10812, 3823, -524, 748, -164, 142, -80, 40, -8, 1], 'lmfdb_label': '10080.ce4', 'torsion': [2, 6]}
  • id: 523484
    {'degree': 16, 'field': [395185, -807912, -953834, 68796, 87514, -188748, -47866, 504, -13741, -4032, -742, -504, -68, 0, -8, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [12]}
  • id: 523482
    {'degree': 16, 'field': [4928400, 0, 5242560, 0, -332864, 0, 8288, 0, 44184, 0, 784, 0, -336, 0, 8, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [2, 8]}
  • id: 523480
    {'degree': 16, 'field': [23280625, 0, -4171400, 0, 5046916, 0, -134120, 0, 281974, 0, -21560, 0, -476, 0, 40, 0, 1], 'lmfdb_label': '10080.ce4', 'torsion': [2, 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: 213641
    {'conductor': 10080, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '10080.ce4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 213642
    {'conductor': 10080, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '10080.ce4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 213643
    {'conductor': 10080, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '10080.ce4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 213644
    {'conductor': 10080, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10080.ce4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1730714
    {'adelic_gens': [[556, 839, 257, 834], [833, 8, 832, 9], [528, 113, 97, 84], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [248, 3, 365, 2], [337, 8, 508, 33], [323, 318, 530, 107], [7, 6, 834, 835]], 'adelic_image': '840.48.0.?', 'conductor': 10080, 'lmfdb_label': '10080.ce4', 'prime': 0}
  • id: 48747
    {'conductor': 10080, 'elladic_image': '4.12.0.8', 'lmfdb_label': '10080.ce4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 10080.ce does not appear in ec_padic