Elliptic curve data - 116160.jo4

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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': '116160et', 'Clabel': '116160et3', 'Cnumber': 3, 'abc_quality': 1.1738269518331081, 'absD': 771260538389299200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 1, 0, 11455, -42246657], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 116160, 'degree': 1966080, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1111616668968218356165525974', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 248, 'isogeny_degrees': [1, 2, 4], 'jinv': [2863288, 13286025], 'lmfdb_iso': '116160.jo', 'lmfdb_label': '116160.jo4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 24, 3960], 'min_quad_twist_disc': -88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '24.24.0.n.1', '44.12.0-4.c.1.2', '88.24.0.?', '264.48.0.?'], '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, 121], [3, 4, 38720], [5, 6, 23232], [11, 62, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.045780054797704926814040656596', 'prec': 107}, 'szpiro_ratio': 4.170672183210885, '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, 6, 0, 1, 0, -2, 0, 4, 0], 'aplist': [0, 1, 1, 4, 0, 6, -2, 4, 0, 10, -4, 10, -2, -4, 8, -2, -12, -10, -12, 0, -10, 4, 4, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 116160, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '116160.jo', 'trace_hash': 909244716932689703}
• 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': '0.014664534287456805716818293355', 'prec': 107}, 'conductor': 116160, 'gens': [], 'heights': [], 'lmfdb_label': '116160.jo4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13139305123247536757193823847', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3068664591588176434530354465519540232', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[337, 0, 1]], 'xcoord_integral_points': [337]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '116160.jo4'}
• ec_torsion_growth •

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

  
  
  • id: 5326581
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '116160.jo4', 'torsion': [4]}
  • id: 5326580
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '116160.jo4', 'torsion': [2, 2]}
  • id: 5326582
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '116160.jo4', 'torsion': [4]}
  • id: 5326583
    {'degree': 4, 'field': [3, -10, 11, -2, 1], 'lmfdb_label': '116160.jo4', 'torsion': [2, 4]}
  • id: 5326587
    {'degree': 8, 'field': [-4575, -25800, -49930, -26892, -5136, -468, -78, 0, 1], 'lmfdb_label': '116160.jo4', 'torsion': [6]}
  • id: 5326585
    {'degree': 8, 'field': [-2151, 3228, -740, -652, 212, 68, -28, -4, 1], 'lmfdb_label': '116160.jo4', 'torsion': [8]}
  • id: 5326586
    {'degree': 8, 'field': [75, -204, 298, -208, 155, -64, 26, -4, 1], 'lmfdb_label': '116160.jo4', 'torsion': [8]}
  • id: 5326584
    {'degree': 8, 'field': [7825, 1400, -2200, 400, 294, -40, 24, 0, 1], 'lmfdb_label': '116160.jo4', 'torsion': [2, 4]}
  • id: 5326592
    {'degree': 16, 'field': [-1778598, -3593808, -1720980, 1260288, 1503000, 155496, -434700, -163512, 69344, 39652, -8188, -4800, 846, 276, -56, -4, 1], 'lmfdb_label': '116160.jo4', 'torsion': [12]}
  • id: 5326590
    {'degree': 16, 'field': [675, -7020, 26838, -45216, 66465, -47496, 31006, -532, -4446, 2308, -514, -600, 197, 64, -18, -4, 1], 'lmfdb_label': '116160.jo4', 'torsion': [2, 8]}
  • id: 5326588
    {'degree': 16, 'field': [141161, 680960, 464200, -705040, 939816, -418560, -189760, 110080, 77161, -17760, -15380, 1160, 1486, -40, -60, 0, 1], 'lmfdb_label': '116160.jo4', 'torsion': [4, 4]}
  • id: 5326593
    {'degree': 16, 'field': [350865, -342360, 459180, -305136, 342774, -262296, 150192, -66408, 33775, -13832, 5512, -1976, 754, -224, 52, -8, 1], 'lmfdb_label': '116160.jo4', 'torsion': [12]}
  • id: 5326589
    {'degree': 16, 'field': [1126521, 4100580, 6758052, 6364620, 3637144, 1110360, 43968, -113340, -40911, -1440, 3508, 780, 42, -60, 0, 0, 1], 'lmfdb_label': '116160.jo4', 'torsion': [2, 8]}
  • id: 5326591
    {'degree': 16, 'field': [31196097, 7692408, 55536192, -34631928, 39791574, -22437540, 10631700, -3202200, 729792, -73056, -5952, 4320, -530, -68, 48, -8, 1], 'lmfdb_label': '116160.jo4', '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: 2857987
    {'conductor': 116160, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '116160.jo4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2857988
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '116160.jo4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 2857989
    {'conductor': 116160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '116160.jo4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2857990
    {'conductor': 116160, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '116160.jo4', 'prime': 11, '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: 2423649
    {'adelic_gens': [[89, 176, 44, 177], [119, 0, 0, 263], [1, 8, 0, 1], [7, 6, 258, 259], [257, 8, 256, 9], [1, 0, 8, 1], [120, 55, 77, 186], [120, 55, 143, 252], [1, 4, 4, 17]], 'adelic_image': '264.48.0.?', 'conductor': 116160, 'lmfdb_label': '116160.jo4', 'prime': 0}
  • id: 458588
    {'conductor': 116160, 'elladic_image': '8.12.0.16', 'lmfdb_label': '116160.jo4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 116160.jo does not appear in ec_padic