Elliptic curve data - 20808.i4

Formats: - HTML - YAML - JSON - 2025-09-05T01:41:06.875917

• 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': '20808l2', 'Cnumber': 2, 'abc_quality': 0.972547111469975, 'absD': 40541847093504, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [0, 0, 0, -11271, -343910], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 20808, 'degree': 40960, 'elladic_images': ['8.48.0.138'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3205605302823056131633792506', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [35152, 9], 'lmfdb_iso': '20808.i', 'lmfdb_label': '20808.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4, 4], 'min_quad_twist_disc': -51, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.h.1', '12.24.0.c.1', '24.96.1.bu.1', '68.24.0-4.b.1.2', '136.96.0.?', '204.48.0.?', '408.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, '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': '-1.1074504064531541456038320911', 'prec': 103}, 'szpiro_ratio': 3.983023069749181, '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, -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': '0.071281314077087036873774379103', 'prec': 107}, 'conductor': 20808, 'gens': [], 'heights': [], 'lmfdb_label': '20808.i4', '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': 32, 'torsion_generators': [[-34, 0, 1], [119, 0, 1]], 'xcoord_integral_points': [-85, -34, 119]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '17': 'a'}, 'iwp0': 3, 'lmfdb_label': '20808.i4'}
• ec_torsion_growth •

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

  
  
  • id: 1061244
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '20808.i4', 'torsion': [2, 4]}
  • id: 1061246
    {'degree': 4, 'field': [-2, 14, -13, -2, 1], 'lmfdb_label': '20808.i4', 'torsion': [2, 4]}
  • id: 1061245
    {'degree': 4, 'field': [289, 0, -17, 0, 1], 'lmfdb_label': '20808.i4', 'torsion': [2, 4]}
  • id: 1061251
    {'degree': 8, 'field': [-3823, -2904, -1394, -658, -48, -26, 14, 0, 1], 'lmfdb_label': '20808.i4', 'torsion': [2, 6]}
  • id: 1061250
    {'degree': 8, 'field': [94, 288, -272, -42, 123, -6, -20, 0, 1], 'lmfdb_label': '20808.i4', 'torsion': [2, 8]}
  • id: 1061247
    {'degree': 8, 'field': [256, 0, -144, 0, 65, 0, -9, 0, 1], 'lmfdb_label': '20808.i4', 'torsion': [4, 4]}
  • id: 1061249
    {'degree': 8, 'field': [1753, 948, 888, 168, 89, -12, 6, 0, 1], 'lmfdb_label': '20808.i4', 'torsion': [2, 8]}
  • id: 1061248
    {'degree': 8, 'field': [28561, 0, 0, 0, 287, 0, 0, 0, 1], 'lmfdb_label': '20808.i4', 'torsion': [2, 8]}
  • id: 1061254
    {'degree': 16, 'field': [65536, 0, 0, 0, -12544, 0, 0, 0, 2145, 0, 0, 0, -49, 0, 0, 0, 1], 'lmfdb_label': '20808.i4', 'torsion': [4, 8]}
  • id: 1061253
    {'degree': 16, 'field': [154449, 0, -248688, 0, 202602, 0, -88368, 0, 23323, 0, -4016, 0, 462, 0, -32, 0, 1], 'lmfdb_label': '20808.i4', 'torsion': [4, 8]}
  • id: 1061255
    {'degree': 16, 'field': [456873, 1525542, 1649986, 120266, -212606, -4408, -18668, -33304, 38589, -8724, 3474, -1990, 778, -220, 40, -4, 1], 'lmfdb_label': '20808.i4', 'torsion': [2, 12]}
  • id: 1061252
    {'degree': 16, 'field': [10870209, 0, -12800556, 0, 7250010, 0, -2222808, 0, 390259, 0, -40216, 0, 2394, 0, -76, 0, 1], 'lmfdb_label': '20808.i4', '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: 473187
    {'conductor': 20808, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '20808.i4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 473188
    {'conductor': 20808, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '20808.i4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 473189
    {'conductor': 20808, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '20808.i4', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1803207
    {'adelic_gens': [[169, 238, 306, 101], [1, 0, 8, 1], [5, 4, 404, 405], [167, 0, 0, 407], [341, 272, 238, 171], [401, 8, 400, 9], [137, 0, 136, 341], [1, 8, 0, 1]], 'adelic_image': '408.192.1.?', 'conductor': 20808, 'lmfdb_label': '20808.i4', 'prime': 0}
  • id: 96802
    {'conductor': 20808, 'elladic_image': '8.48.0.138', 'lmfdb_label': '20808.i4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 20808.i does not appear in ec_padic