Elliptic curve data - 20160.et6

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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': '20160cg', 'Clabel': '20160cg2', 'Cnumber': 2, 'abc_quality': 1.0136164980344768, 'absD': 1706597351424000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -332652, -38767696], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 20160, 'degree': 294912, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1954121868703939900939883264', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 123, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21302308926361, 8930250000], 'lmfdb_iso': '20160.et', 'lmfdb_label': '20160.et6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -578, 2756], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '20.12.0.a.1', '24.96.0-12.a.1.4', '56.12.0-2.a.1.1', '60.96.1.e.4', '84.96.1.?', '120.192.1.?', '168.192.1.?', '280.24.0.?', '420.192.5.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 2, 448], [5, 6, 4032], [7, 8, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60638527169642118027051752575', 'prec': 103}, 'szpiro_ratio': 5.020267553007293, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, -2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, 1, 1, 0, -2, 6, -8, 0, 6, -4, 10, 6, 4, 0, -6, -12, 10, 4, -12, -10, 8, 12, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 20160, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '20160.et', 'trace_hash': 690187863017146286}
• 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': '0.012390510597468378663758695471', 'prec': 107}, 'conductor': 20160, 'gens': [], 'heights': [], 'lmfdb_label': '20160.et6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20634915309505069000725437215', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4761898371406082800870524657649721597', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-122, 0, 1], [628, 0, 1]], 'xcoord_integral_points': [-506, -122, 628]}
• ec_iwasawa •

  Column	Type
  conductor	integer
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'conductor': 20160, 'iwdata': {'2': 'a', '3': 'a', '5': [5, 0], '7': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '20160.et6'}
• ec_torsion_growth •

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

  
  
  • id: 1028616
    {'conductor': 20160, 'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 6]}
  • id: 1028618
    {'conductor': 20160, 'degree': 4, 'field': [4, 0, 10, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 12]}
  • id: 1028617
    {'conductor': 20160, 'degree': 4, 'field': [16, 0, -22, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 4]}
  • id: 1028619
    {'conductor': 20160, 'degree': 4, 'field': [81, 0, 12, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 4]}
  • id: 1028620
    {'conductor': 20160, 'degree': 6, 'field': [-98, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 6]}
  • id: 1028621
    {'conductor': 20160, 'degree': 8, 'field': [145, -140, 164, -44, 13, 8, 2, -4, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 12]}
  • id: 1028622
    {'conductor': 20160, 'degree': 8, 'field': [900, 0, 660, 0, 181, 0, 8, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 12]}
  • id: 1028623
    {'conductor': 20160, 'degree': 12, 'field': [36, 0, 48, 0, 52, 0, 28, 0, 12, 0, -2, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [6, 6]}
  • id: 1028624
    {'conductor': 20160, 'degree': 16, 'field': [1, 0, 0, 0, 161, 0, 0, 0, 576, 0, 0, 0, 161, 0, 0, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [4, 12]}
  • id: 1028626
    {'conductor': 20160, 'degree': 16, 'field': [81, 0, 1674, 0, 5589, 0, 1086, 0, 1312, 0, 716, 0, 33, 0, 8, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 24]}
  • id: 1028627
    {'conductor': 20160, 'degree': 16, 'field': [7870, -26160, 62020, -98220, 126996, -129112, 112130, -80100, 49651, -25500, 11326, -4020, 1216, -280, 60, -8, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 8]}
  • id: 1028625
    {'conductor': 20160, 'degree': 16, 'field': [104448400, 0, -70442400, 0, 8996785, 0, 351960, 0, -26109, 0, -7536, 0, -29, 0, 24, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 8]}
  • id: 1028628
    {'conductor': 20160, 'degree': 18, 'field': [676706400, 0, 5772610800, 0, -458495640, 0, -50146524, 0, 5802624, 0, 103140, 0, -7350, 0, 720, 0, 54, 0, 1], 'lmfdb_label': '20160.et6', 'torsion': [2, 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: 456983
    {'conductor': 20160, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '20160.et6', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 456984
    {'conductor': 20160, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '20160.et6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 456985
    {'conductor': 20160, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '20160.et6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 456986
    {'conductor': 20160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '20160.et6', '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: 1798841
    {'adelic_gens': [[147, 10, 142, 3], [833, 834, 606, 425], [629, 828, 0, 839], [431, 828, 432, 827], [337, 12, 342, 73], [1, 0, 12, 1], [829, 12, 828, 13], [9, 4, 824, 833], [419, 0, 0, 839], [1, 12, 0, 1], [831, 836, 436, 427]], 'adelic_image': '840.384.5.?', 'conductor': 20160, 'lmfdb_label': '20160.et6', 'prime': 0}
  • id: 94053
    {'conductor': 20160, 'elladic_image': '2.6.0.1', 'lmfdb_label': '20160.et6', 'modell_image': '2Cs', 'prime': 2}
  • id: 94054
    {'conductor': 20160, 'elladic_image': '3.4.0.1', 'lmfdb_label': '20160.et6', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 20160.et does not appear in ec_padic