Elliptic curve data - 3822.p2

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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': '3822q', 'Clabel': '3822q2', 'Cnumber': 2, 'abc_quality': 1.129325119818151, 'absD': 94220404589140132552704, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2184, 'ainvs': [1, 0, 1, 11170945, 3404007506], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3822, 'degree': 524160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0975140225751664157898032965', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [3820420340137317041, 2334869460099072], 'lmfdb_iso': '3822.p', 'lmfdb_label': '3822.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 227979, -9826515], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '312.6.0.?', '1092.6.0.?', '2184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 4, 98], [5, 2, 1274], [7, 20, 78], [13, 14, 147]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6380814107836814369607887389', 'prec': 100}, 'szpiro_ratio': 7.310404383169488, '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, -1, 1, 1, 2, -1, 0, -1, 1, -2, -4, 1, 1, 0, 2, 1, 6, -1, -4, 2], 'aplist': [-1, 1, 2, 0, -4, 1, 6, -4, 0, -4, 4, 12, 12, -8, 2, 8, -4, 10, -14, 8, -2, 16, 0, 4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 3822, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3822.p', 'trace_hash': 621051273119053064}
• 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': '0.0020395459995166171139633791976', 'prec': 110}, 'conductor': 3822, 'gens': [], 'heights': [], 'lmfdb_label': '3822.p2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.065862785383562525888899594721', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9758835615068757766669878416426744462', 'prec': 130}, 'tamagawa_product': 120, 'torsion_generators': [[-1209, 1205, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 1], '3': [3, 0], '5': [2, 0], '7': 'a', '13': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '3822.p2'}
• ec_torsion_growth •

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

  
  
  • id: 198896
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '3822.p2', 'torsion': [2, 2]}
  • id: 198897
    {'degree': 4, 'field': [-504, 0, 21, 0, 1], 'lmfdb_label': '3822.p2', 'torsion': [4]}
  • id: 198900
    {'degree': 8, 'field': [-6, -51, 156, -101, -29, 25, -5, -2, 1], 'lmfdb_label': '3822.p2', 'torsion': [6]}
  • id: 198898
    {'degree': 8, 'field': [2500, 0, -1152, 0, 538, 0, 24, 0, 1], 'lmfdb_label': '3822.p2', 'torsion': [2, 4]}
  • id: 198899
    {'degree': 8, 'field': [2601, 0, 4134, 0, 1090, 0, -26, 0, 1], 'lmfdb_label': '3822.p2', 'torsion': [2, 4]}
  • id: 198902
    {'degree': 16, 'field': [147456, 0, 248544, 0, 171684, 0, 69464, 0, 20768, 0, 4196, 0, 352, 0, 16, 0, 1], 'lmfdb_label': '3822.p2', 'torsion': [2, 6]}
  • id: 198901
    {'degree': 16, 'field': [234256, 0, -700832, 0, -428660, 0, 489616, 0, -46226, 0, -6392, 0, 2995, 0, 76, 0, 1], 'lmfdb_label': '3822.p2', 'torsion': [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: 70747
    {'conductor': 3822, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '3822.p2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 70748
    {'conductor': 3822, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '3822.p2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 70749
    {'conductor': 3822, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '3822.p2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 70750
    {'conductor': 3822, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '3822.p2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 1688787
    {'adelic_gens': [[1, 0, 4, 1], [2017, 4, 1850, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2181, 4, 2180, 5], [1457, 4, 730, 9], [628, 1, 935, 0], [2, 1, 1091, 0], [1913, 274, 272, 1911]], 'adelic_image': '2184.12.0.?', 'conductor': 3822, 'lmfdb_label': '3822.p2', 'prime': 0}
  • id: 18983
    {'conductor': 3822, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3822.p2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3822.p does not appear in ec_padic