Elliptic curve data - 38808.r1

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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': '38808bg', 'Clabel': '38808bg6', 'Cnumber': 6, 'abc_quality': 0.9943126197983755, 'absD': 1102701386335102912512, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3696, 'ainvs': [0, 0, 0, -20843571, -36592556434], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 38808, 'degree': 2359296, 'elladic_images': ['8.24.0.100'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9525655775993115870512456639', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5701568801608514, 6277868289], 'lmfdb_iso': '38808.r', 'lmfdb_label': '38808.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -47264, -3967008], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.r.1', '48.48.0-8.r.1.2', '84.12.0.?', '88.48.0.?', '112.48.0.?', '168.48.0.?', '336.96.0.?', '528.96.0.?', '1232.96.1.?', '1848.96.0.?', '3696.192.1.?'], '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, 'serre_invariants': [[2, 4, 441], [3, 8, 4312], [7, 32, 792], [11, 12, 3528]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79491944322431688850181722905', 'prec': 103}, 'szpiro_ratio': 5.883875218327089, '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, -2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, -2, 0, 1, 2, 2, -4, 0, -6, 8, -10, -6, -12, -8, 10, 12, 2, -4, 0, 6, 0, -12, 10, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 38808, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '38808.r', 'trace_hash': 1087332288181234745}
• 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': '0.0027254243037264041489987692286', 'prec': 110}, 'conductor': 38808, 'gens': [], 'heights': [], 'lmfdb_label': '38808.r1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.070661887614870585236617128727', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1305902018379293637858740596389980868', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-2702, 0, 1]], 'xcoord_integral_points': [-2702]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': 'a', '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '38808.r1'}
• ec_torsion_growth •

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

  
  
  • id: 1913736
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [2, 2]}
  • id: 1913738
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [4]}
  • id: 1913737
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [4]}
  • id: 1913740
    {'degree': 4, 'field': [64, 0, 5, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [8]}
  • id: 1913739
    {'degree': 4, 'field': [121, 0, 20, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [2, 4]}
  • id: 1913741
    {'degree': 4, 'field': [1849, 0, -2, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [8]}
  • id: 1913745
    {'degree': 8, 'field': [-71148, 0, -12180, 0, -252, 0, 28, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [6]}
  • id: 1913743
    {'degree': 8, 'field': [4, 0, 0, 0, 46, 0, 0, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [8]}
  • id: 1913744
    {'degree': 8, 'field': [6084, 0, 2004, 0, 157, 0, 2, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [2, 8]}
  • id: 1913742
    {'degree': 8, 'field': [58564, 0, 0, 0, -5566, 0, 0, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [2, 4]}
  • id: 1913747
    {'degree': 16, 'field': [1, 0, -20, 0, 200, 0, -600, 0, 959, 0, -600, 0, 200, 0, -20, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [2, 8]}
  • id: 1913751
    {'degree': 16, 'field': [19607184, 0, 89315136, 0, 59623776, 0, 18554832, 0, 1497960, 0, 68616, 0, 2844, 0, 84, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [12]}
  • id: 1913748
    {'degree': 16, 'field': [185858689, 0, -31179308, 0, 45196664, 0, -5553956, 0, 367438, 0, 45788, 0, 1880, 0, 20, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [16]}
  • id: 1913746
    {'degree': 16, 'field': [214358881, 0, -389743420, 0, 354312200, 0, -96630600, 0, 14040719, 0, -798600, 0, 24200, 0, -220, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [4, 4]}
  • id: 1913750
    {'degree': 16, 'field': [9269068176, 0, 1246122400, 0, 44215024, 0, -10772160, 0, -1229368, 0, -48328, 0, -168, 0, 40, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [2, 6]}
  • id: 1913752
    {'degree': 16, 'field': [16353038641, 0, 5232057944, 0, 634693516, 0, 41681096, 0, 1758934, 0, 43304, 0, 2284, 0, 56, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [12]}
  • id: 1913749
    {'degree': 16, 'field': [20033281657, 7965269928, -1194761208, 1794889712, 580297656, 57185128, 63389864, 3540768, 10595558, -1577576, 831640, -70224, 20920, -616, 248, 0, 1], 'lmfdb_label': '38808.r1', 'torsion': [16]}
• 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: 916581
    {'conductor': 38808, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '38808.r1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 916582
    {'conductor': 38808, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '38808.r1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 916583
    {'conductor': 38808, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '38808.r1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 916584
    {'conductor': 38808, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '38808.r1', 'prime': 11, '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: 1923035
    {'adelic_gens': [[1, 16, 0, 1], [5, 4, 3692, 3693], [3235, 1248, 1086, 1669], [3681, 16, 3680, 17], [1357, 1248, 192, 2149], [1231, 0, 0, 3695], [1, 0, 16, 1], [2111, 2448, 3336, 1103], [316, 1545, 1851, 3082], [15, 2, 3598, 3683]], 'adelic_image': '3696.192.1.?', 'conductor': 38808, 'lmfdb_label': '38808.r1', 'prime': 0}
  • id: 170764
    {'conductor': 38808, 'elladic_image': '8.24.0.100', 'lmfdb_label': '38808.r1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 38808.r does not appear in ec_padic