Elliptic curve data - 162240.gi2

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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': '162240b', 'Clabel': '162240b3', 'Cnumber': 3, 'abc_quality': 1.0116459533211948, 'absD': 1306326987741767307264000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 1040, 'ainvs': [0, 1, 0, -79443745, 266913001343], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162240, 'degree': 33030144, 'elladic_images': ['16.24.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4128397915633234998718053779', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 164, 'isogeny_degrees': [1, 2, 4], 'jinv': [350584567631475848, 8259273550125], 'lmfdb_iso': '162240.gi', 'lmfdb_label': '162240.gi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -117520, 15226900], 'min_quad_twist_disc': 104, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0-8.o.1.4', '40.24.0.by.1', '80.96.0.?', '104.24.0.?', '208.48.0.?', '260.12.0.?', '520.48.0.?', '1040.192.3.?'], '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, 845], [3, 4, 10816], [5, 6, 32448], [13, 98, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2639311371326234950735215053', 'prec': 100}, 'szpiro_ratio': 5.51689664454473, '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, 1, 0, 1, 0, -4, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 8, 0], 'aplist': [0, 1, 1, -4, 0, 0, 2, 8, 4, -6, 8, 6, 6, 4, -4, -6, 8, 10, 4, -8, 14, 0, 12, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 162240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '162240.gi', 'trace_hash': 194219382769337269}
• 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': '0.0010855379774455055115664142149', 'prec': 110}, 'conductor': 162240, 'gens': [], 'heights': [], 'lmfdb_label': '162240.gi2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.085742696834769967016408409225', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1156494480689584167876036427885013236', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[5737, 0, 1]], 'xcoord_integral_points': [5737]}
• lmfdb_label 162240.gi2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7245983
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '162240.gi2', 'torsion': [4]}
  • id: 7245982
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '162240.gi2', 'torsion': [4]}
  • id: 7245981
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '162240.gi2', 'torsion': [2, 2]}
  • id: 7245984
    {'degree': 4, 'field': [16, 0, -18, 0, 1], 'lmfdb_label': '162240.gi2', 'torsion': [2, 4]}
  • id: 7245988
    {'degree': 8, 'field': [-507, 0, 416, 0, -78, 0, 0, 0, 1], 'lmfdb_label': '162240.gi2', 'torsion': [6]}
  • id: 7245987
    {'degree': 8, 'field': [794, -1216, 1364, -728, 438, -104, 40, -4, 1], 'lmfdb_label': '162240.gi2', 'torsion': [8]}
  • id: 7245986
    {'degree': 8, 'field': [2876, -3280, -5416, 480, 1296, -40, -76, 0, 1], 'lmfdb_label': '162240.gi2', 'torsion': [2, 8]}
  • id: 7245985
    {'degree': 8, 'field': [12081, 15440, 6416, 1440, 146, -80, 16, 0, 1], 'lmfdb_label': '162240.gi2', 'torsion': [2, 4]}
  • id: 7245994
    {'degree': 16, 'field': [-617980, 1644272, 252336, -5396544, 7938864, -6992064, 1914520, 311488, -147876, -18728, 9280, 3648, -532, -64, 12, -8, 1], 'lmfdb_label': '162240.gi2', 'torsion': [12]}
  • id: 7245990
    {'degree': 16, 'field': [51354, -171288, 418572, -192864, 73606, -14424, 37680, -30596, 7771, -2956, 1352, -604, 358, -148, 44, -8, 1], 'lmfdb_label': '162240.gi2', 'torsion': [2, 8]}
  • id: 7245989
    {'degree': 16, 'field': [376996, 785920, 819200, 369600, 129676, 78960, 64000, -3520, -4099, 4360, 800, -880, 186, -40, 0, 0, 1], 'lmfdb_label': '162240.gi2', 'torsion': [4, 4]}
  • id: 7245992
    {'degree': 16, 'field': [311804964, 0, -32577552, 0, 15726960, 0, 1315016, 0, -169540, 0, -12016, 0, -332, 0, -20, 0, 1], 'lmfdb_label': '162240.gi2', 'torsion': [2, 6]}
  • id: 7245991
    {'degree': 16, 'field': [410062500, 0, 0, 0, -67797000, 0, 0, 0, 3146040, 0, 0, 0, -3348, 0, 0, 0, 1], 'lmfdb_label': '162240.gi2', 'torsion': [16]}
  • id: 7245993
    {'degree': 16, 'field': [2556242360, 1894913200, -1314734456, -1079774976, 343894408, 220128584, -48965540, -19556264, 3229005, 1031680, -133120, -37648, 4394, 840, -100, -8, 1], 'lmfdb_label': '162240.gi2', 'torsion': [12]}
• 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: 4013152
    {'conductor': 162240, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '162240.gi2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4013153
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '162240.gi2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4013154
    {'conductor': 162240, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '162240.gi2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4013155
    {'conductor': 162240, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '162240.gi2', 'prime': 13, '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: 2712984
    {'adelic_gens': [[15, 166, 754, 995], [1, 16, 0, 1], [1025, 16, 1024, 17], [1, 8, 8, 65], [772, 771, 497, 494], [787, 270, 104, 613], [638, 3, 301, 20], [479, 1024, 712, 911], [1, 0, 16, 1]], 'adelic_image': '1040.192.3.?', 'conductor': 162240, 'lmfdb_label': '162240.gi2', 'prime': 0}
  • id: 617018
    {'conductor': 162240, 'elladic_image': '16.24.0.16', 'lmfdb_label': '162240.gi2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162240.gi does not appear in ec_padic