Elliptic curve data - 29040.bm3

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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': '29040co', 'Clabel': '29040co3', 'Cnumber': 3, 'abc_quality': 0.9688781293995236, 'absD': 2390393051228160000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -493720, -110723600], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29040, 'degree': 368640, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2456098671615615594257824998', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4], 'jinv': [1834216913521, 329422500], 'lmfdb_iso': '29040.bm', 'lmfdb_label': '29040.bm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -255, -1323], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '24.48.0-24.e.1.6', '40.48.0-40.i.1.8', '44.24.0-4.b.1.3', '88.48.0.?', '120.96.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 9680], [5, 6, 5808], [11, 72, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35351505020243097797757858936', 'prec': 103}, 'szpiro_ratio': 4.9572448011942685, '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, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, -2, 0, -4, 0], 'aplist': [0, -1, 1, 0, 0, 2, -2, -4, 0, 2, 0, -2, -2, -12, -8, 6, 12, -6, -4, 0, 6, -16, 4, 10, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 29040, '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': '29040.bm', 'trace_hash': 1816274831140365232}
• 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': '0.011206965948581032521084125897', 'prec': 107}, 'conductor': 29040, 'gens': [], 'heights': [], 'lmfdb_label': '29040.bm3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18232911067020465497202596592', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4586328853616372397762077273886507614', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-260, 0, 1], [796, 0, 1]], 'xcoord_integral_points': [-535, -260, 796]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '29040.bm3'}
• ec_torsion_growth •

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

  
  
  • id: 1455252
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '29040.bm3', 'torsion': [2, 4]}
  • id: 1455253
    {'degree': 4, 'field': [25, 0, -34, 0, 1], 'lmfdb_label': '29040.bm3', 'torsion': [2, 4]}
  • id: 1455254
    {'degree': 4, 'field': [289, 0, -10, 0, 1], 'lmfdb_label': '29040.bm3', 'torsion': [2, 4]}
  • id: 1455258
    {'degree': 8, 'field': [-43923, 0, -6248, 0, -726, 0, 0, 0, 1], 'lmfdb_label': '29040.bm3', 'torsion': [2, 6]}
  • id: 1455257
    {'degree': 8, 'field': [20, -100, 186, -190, 141, -58, 24, -4, 1], 'lmfdb_label': '29040.bm3', 'torsion': [2, 8]}
  • id: 1455255
    {'degree': 8, 'field': [225, 180, -108, -156, 109, -40, 18, -4, 1], 'lmfdb_label': '29040.bm3', 'torsion': [4, 4]}
  • id: 1455256
    {'degree': 8, 'field': [1156, 0, -300, 0, 293, 0, 30, 0, 1], 'lmfdb_label': '29040.bm3', 'torsion': [2, 8]}
  • id: 1455261
    {'degree': 16, 'field': [16900, 0, -149160, 0, 415696, 0, 29988, 0, -12891, 0, -576, 0, 154, 0, -12, 0, 1], 'lmfdb_label': '29040.bm3', 'torsion': [4, 8]}
  • id: 1455259
    {'degree': 16, 'field': [37636, 0, -102256, 0, 64732, 0, -112, 0, 3925, 0, -1876, 0, 286, 0, -28, 0, 1], 'lmfdb_label': '29040.bm3', 'torsion': [2, 8]}
  • id: 1455262
    {'degree': 16, 'field': [74145, 344520, 112580, -1466656, 2179034, -1917176, 947632, -274088, 81075, -9432, 3312, -1256, 634, -224, 52, -8, 1], 'lmfdb_label': '29040.bm3', 'torsion': [2, 12]}
  • id: 1455260
    {'degree': 16, 'field': [102718225, 0, -152606080, 0, 81500776, 0, -11872168, 0, 1200574, 0, -76384, 0, 3304, 0, -88, 0, 1], 'lmfdb_label': '29040.bm3', '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: 674825
    {'conductor': 29040, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '29040.bm3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 674826
    {'conductor': 29040, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29040.bm3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 674827
    {'conductor': 29040, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '29040.bm3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 674828
    {'conductor': 29040, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '29040.bm3', '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: 1858092
    {'adelic_gens': [[1319, 986, 0, 329], [1, 0, 8, 1], [1, 8, 0, 1], [1313, 8, 1312, 9], [1057, 8, 268, 33], [119, 1316, 0, 1319], [887, 6, 1314, 1315], [3, 994, 986, 1315], [5, 4, 1316, 1317]], 'adelic_image': '1320.192.1.?', 'conductor': 29040, 'lmfdb_label': '29040.bm3', 'prime': 0}
  • id: 131083
    {'conductor': 29040, 'elladic_image': '8.24.0.14', 'lmfdb_label': '29040.bm3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 29040.bm does not appear in ec_padic