Elliptic curve data - 3822.s1

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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': '3822t', 'Clabel': '3822t1', 'Cnumber': 1, 'abc_quality': 0.8935491667030525, 'absD': 1788696, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [1, 1, 1, -22, -85], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 3822, 'degree': 1008, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.10863143898905154055185711604', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 3], 'jinv': [-24100657, 36504], 'lmfdb_iso': '3822.s', 'lmfdb_label': '3822.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -22, -85], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.1', '24.8.0.d.1', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.61443058702168003534834030651', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 4, 637], [7, 14, 78], [13, 14, 294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43294979716493709140274923995', 'prec': 107}, 'szpiro_ratio': 2.6883945638751165, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, -1, 0, 1, 1, -3, 3, -1, -1, 0, 3, 1, -6, 1, 4, -3], 'aplist': [1, -1, -3, 0, 3, -1, -6, 4, 6, -9, -5, -4, 12, -4, 12, -9, 9, -8, -4, 6, -14, -1, -3, 0, -5], 'class_deg': 3, 'class_size': 2, 'conductor': 3822, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '3822.s', 'trace_hash': 1683437456810076253}
• 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': '1.2426707299731938041664150284', 'prec': 100}, 'conductor': 3822, 'gens': [[7, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.61443058702168003534834030651', 'prec': 103}], 'lmfdb_label': '3822.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0457415000652709508816870705', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8552133825482200881055478724963455107', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [7, 15]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3822.s1'}
• ec_torsion_growth •

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

  
  
  • id: 198911
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '3822.s1', 'torsion': [3]}
  • id: 198912
    {'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '3822.s1', 'torsion': [2]}
  • id: 198913
    {'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '3822.s1', 'torsion': [2, 2]}
  • id: 198915
    {'degree': 6, 'field': [8, -26, 18, 15, -5, -3, 1], 'lmfdb_label': '3822.s1', 'torsion': [6]}
  • id: 198914
    {'degree': 6, 'field': [64, -880, 697, -181, 2, -3, 1], 'lmfdb_label': '3822.s1', 'torsion': [3]}
  • id: 198916
    {'degree': 12, 'field': [-210048, 298304, 4248, 158112, 45716, 17488, 10430, -192, 1361, -116, 68, -4, 1], 'lmfdb_label': '3822.s1', 'torsion': [4]}
  • id: 198918
    {'degree': 12, 'field': [2304, 0, 792, 0, 652, 0, 218, 0, 57, 0, 8, 0, 1], 'lmfdb_label': '3822.s1', 'torsion': [2, 6]}
  • id: 198917
    {'degree': 12, 'field': [126736, -121752, 52160, -12654, 8607, -819, -335, 546, 30, 12, -1, -3, 1], 'lmfdb_label': '3822.s1', 'torsion': [3, 3]}
  • id: 198920
    {'degree': 18, 'field': [-590043, -1412328, -1975550, -1055792, -372102, -286010, -13317, -51036, -40052, 23488, -2492, -7368, 1927, 364, -342, 56, 10, -6, 1], 'lmfdb_label': '3822.s1', 'torsion': [6]}
  • id: 198919
    {'degree': 18, 'field': [924363616, -528565824, 600722160, -180726336, 129514128, -36763620, 11452514, -3241848, 997194, -21937, 158271, 6966, 19414, -780, 1458, -106, 60, -3, 1], 'lmfdb_label': '3822.s1', 'torsion': [9]}
• 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: 70759
    {'conductor': 3822, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3822.s1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 70760
    {'conductor': 3822, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3822.s1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 70761
    {'conductor': 3822, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '3822.s1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 70762
    {'conductor': 3822, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3822.s1', 'prime': 13, '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: 1688790
    {'adelic_gens': [[127, 6, 0, 1], [1, 0, 6, 1], [4, 3, 9, 7], [163, 6, 162, 7], [51, 2, 58, 7], [3, 4, 8, 11], [78, 97, 115, 54], [85, 6, 87, 19], [1, 6, 0, 1]], 'adelic_image': '168.16.0.?', 'conductor': 3822, 'lmfdb_label': '3822.s1', 'prime': 0}
  • id: 18984
    {'conductor': 3822, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3822.s1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 131466
    {'lmfdb_iso': '3822.s', 'p': 5, 'prec': 20, 'unit': 4847979062761, 'val': 1}
  • id: 131473
    {'lmfdb_iso': '3822.s', 'p': 11, 'prec': 20, 'unit': 5191962912676127729, 'val': 1}
  • id: 131474
    {'lmfdb_iso': '3822.s', 'p': 17, 'prec': 20, 'unit': 7613694168695671086739, 'val': 1}
  • id: 131475
    {'lmfdb_iso': '3822.s', 'p': 19, 'prec': 20, 'unit': 1500744960769660930497813, 'val': 1}
  • id: 131479
    {'lmfdb_iso': '3822.s', 'p': 23, 'prec': 20, 'unit': 43328300598155828306416923, 'val': 1}
  • id: 131471
    {'lmfdb_iso': '3822.s', 'p': 29, 'prec': 20, 'unit': 4705308725090100926896869085, 'val': 1}
  • id: 131468
    {'lmfdb_iso': '3822.s', 'p': 31, 'prec': 20, 'unit': 771822812197948780087895017, 'val': 1}
  • id: 131482
    {'lmfdb_iso': '3822.s', 'p': 37, 'prec': 20, 'unit': 365659184553939390906580716214, 'val': 1}
  • id: 131469
    {'lmfdb_iso': '3822.s', 'p': 41, 'prec': 20, 'unit': 1640970160396414589903136713250, 'val': 1}
  • id: 131470
    {'lmfdb_iso': '3822.s', 'p': 43, 'prec': 20, 'unit': 3605465915938660272063162559195, 'val': 1}
  • id: 131480
    {'lmfdb_iso': '3822.s', 'p': 47, 'prec': 20, 'unit': 1389668478577475358249429990915, 'val': 1}
  • id: 131476
    {'lmfdb_iso': '3822.s', 'p': 53, 'prec': 20, 'unit': 457300340416604914891333980292810, 'val': 1}
  • id: 131477
    {'lmfdb_iso': '3822.s', 'p': 59, 'prec': 20, 'unit': 233627097836589107318656679808375, 'val': 1}
  • id: 131481
    {'lmfdb_iso': '3822.s', 'p': 61, 'prec': 20, 'unit': 6362351108600137036411743115982932, 'val': 1}
  • id: 131465
    {'lmfdb_iso': '3822.s', 'p': 67, 'prec': 20, 'unit': 10997729157885236671295700003518019, 'val': 1}
  • id: 131467
    {'lmfdb_iso': '3822.s', 'p': 71, 'prec': 20, 'unit': 13007458042712332094379097918269268, 'val': 1}
  • id: 131478
    {'lmfdb_iso': '3822.s', 'p': 73, 'prec': 20, 'unit': 136898353089718826897314332696034130, 'val': 1}
  • id: 131472
    {'lmfdb_iso': '3822.s', 'p': 79, 'prec': 20, 'unit': 999239469454628391685959986525583070, 'val': 1}
  • id: 131464
    {'lmfdb_iso': '3822.s', 'p': 83, 'prec': 20, 'unit': 2100531293946210725514064098606094226, 'val': 1}
  • id: 131463
    {'lmfdb_iso': '3822.s', 'p': 97, 'prec': 20, 'unit': 24136895086711496164796339618803864486, 'val': 1}