Elliptic curve data - 20808.i5

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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': '20808l', 'Clabel': '20808l1', 'Cnumber': 1, 'abc_quality': 1.1757189916348774, 'absD': 844621814448, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [0, 0, 0, 1734, -34391], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 20808, 'degree': 20480, 'elladic_images': ['16.48.0.150'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97398694000233295845476318984', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2048, 3], 'lmfdb_iso': '20808.i', 'lmfdb_label': '20808.i5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1, 0], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.24.0.ba.1', '12.12.0.g.1', '16.48.0.y.1', '24.48.0.bi.2', '48.96.1.dt.1', '68.12.0-4.c.1.2', '136.48.0.?', '204.24.0.?', '272.96.0.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 2601], [3, 8, 2312], [17, 146, 72]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2229749365464783638400374447', 'prec': 103}, 'szpiro_ratio': 3.4611208572229635, '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, 4, 0, -2, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, -2, 0, 4, -2, 0, -4, -8, 6, -8, -6, -6, 4, 0, 2, -4, 2, -4, 8, -10, 8, 4, 6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 20808, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '20808.i', 'trace_hash': 897393964271457666}
• 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': '0.14256262815417407374754875821', 'prec': 103}, 'conductor': 20808, 'gens': [], 'heights': [], 'lmfdb_label': '20808.i5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.47210452969744586548149905210', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.94420905939489173096299810419003399492', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[17, 0, 1]], 'xcoord_integral_points': [17]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '17': 'a'}, 'iwp0': 3, 'lmfdb_label': '20808.i5'}
• ec_torsion_growth •

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

  
  
  • id: 1061228
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '20808.i5', 'torsion': [4]}
  • id: 1061227
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '20808.i5', 'torsion': [2, 2]}
  • id: 1061229
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '20808.i5', 'torsion': [4]}
  • id: 1061230
    {'degree': 4, 'field': [16, 4, 5, -1, 1], 'lmfdb_label': '20808.i5', 'torsion': [2, 4]}
  • id: 1061232
    {'degree': 4, 'field': [25, 0, 7, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [8]}
  • id: 1061231
    {'degree': 4, 'field': [169, 0, -25, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [8]}
  • id: 1061236
    {'degree': 8, 'field': [-3823, -2904, -1394, -658, -48, -26, 14, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [6]}
  • id: 1061234
    {'degree': 8, 'field': [94, 288, -272, -42, 123, -6, -20, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [8]}
  • id: 1061235
    {'degree': 8, 'field': [256, 0, -144, 0, 65, 0, -9, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [2, 8]}
  • id: 1061233
    {'degree': 8, 'field': [3297, 4530, 2658, -318, 94, 46, -30, -2, 1], 'lmfdb_label': '20808.i5', 'torsion': [2, 4]}
  • id: 1061242
    {'degree': 16, 'field': [65536, 0, -73728, 26624, 16384, 8832, -13600, -3328, 2721, 832, -850, -138, 64, -26, -18, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [12]}
  • id: 1061240
    {'degree': 16, 'field': [148833, -705960, 1187352, -1124172, 1001052, -631476, 401544, -198540, 97129, -38204, 14716, -4556, 1366, -308, 64, -8, 1], 'lmfdb_label': '20808.i5', 'torsion': [16]}
  • id: 1061237
    {'degree': 16, 'field': [154449, 0, -248688, 0, 202602, 0, -88368, 0, 23323, 0, -4016, 0, 462, 0, -32, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [4, 8]}
  • id: 1061238
    {'degree': 16, 'field': [267334, 172692, -567616, -6384, 295624, -14352, -97042, 3444, 21679, -408, -3562, -12, 388, 0, -28, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [16]}
  • id: 1061243
    {'degree': 16, 'field': [456873, 1525542, 1649986, 120266, -212606, -4408, -18668, -33304, 38589, -8724, 3474, -1990, 778, -220, 40, -4, 1], 'lmfdb_label': '20808.i5', 'torsion': [12]}
  • id: 1061239
    {'degree': 16, 'field': [6723649, 0, -912996, 0, 4398318, 0, -2107260, 0, 402635, 0, -40140, 0, 2298, 0, -72, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [16]}
  • id: 1061241
    {'degree': 16, 'field': [14615329, -11101992, 3103954, 982892, -151100, -737866, 183504, 81560, 8535, -16768, -1440, 1022, 244, -52, -14, 0, 1], 'lmfdb_label': '20808.i5', 'torsion': [2, 6]}
• 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: 473184
    {'conductor': 20808, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '20808.i5', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 473185
    {'conductor': 20808, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '20808.i5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 473186
    {'conductor': 20808, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '20808.i5', 'prime': 17, 'reduction_type': 0, '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: 1803208
    {'adelic_gens': [[5, 4, 812, 813], [1, 16, 0, 1], [152, 527, 289, 662], [15, 2, 718, 803], [1, 544, 612, 613], [477, 544, 170, 443], [575, 0, 0, 815], [1, 0, 16, 1], [801, 16, 800, 17]], 'adelic_image': '816.192.1.?', 'conductor': 20808, 'lmfdb_label': '20808.i5', 'prime': 0}
  • id: 96803
    {'conductor': 20808, 'elladic_image': '16.48.0.150', 'lmfdb_label': '20808.i5', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 20808.i does not appear in ec_padic