Elliptic curve data - 248430.cb2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '248430cb', 'Clabel': '248430cb6', 'Cnumber': 6, 'abc_quality': 1.1016972151904234, 'absD': 2612051448050198739592016100, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, 1, 0, -20801085477, 1154709841032441], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 248430, 'degree': 445906944, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4966379137052710612572503581', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1752803993935029634719121, 4599740941532100], 'lmfdb_iso': '248430.cb', 'lmfdb_label': '248430.cb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2511905, -1532538075], 'min_quad_twist_disc': -91, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '40.12.0-2.a.1.2', '56.12.0.a.1', '104.12.0.?', '120.96.0.?', '140.12.0.?', '168.96.1.?', '260.12.0.?', '273.8.0.?', '280.24.0.?', '312.96.0.?', '364.12.0.?', '420.96.0.?', '520.24.0.?', '546.48.0.?', '728.24.0.?', '780.96.1.?', '840.192.1.?', '1092.96.0.?', '1560.192.1.?', '1820.24.0.?', '2184.192.1.?', '3640.48.0.?', '5460.192.1.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.769947204724753491531544012', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2412081604468460406778302656', 'prec': 100}, 'szpiro_ratio': 6.67221877901778, '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, -1, -1, 1, 1, 1, 0, -1, 1, -1, 0, -1, 0, 0, -1, 1, -6, -1, -4, 1], 'aplist': [-1, -1, 1, 0, 0, 0, -6, -4, 0, 6, -4, 10, 6, 8, 0, -6, -12, -14, 4, 0, 2, 8, -12, 6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 248430, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '248430.cb', 'trace_hash': 2116644237601881227}
• 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': '0.00012424242912860717138769680520', 'prec': 113}, 'conductor': 248430, 'gens': [[125430207, 900882460911, 29]], 'heights': [{'__RealLiteral__': 0, 'data': '13.769947204724753491531544012', 'prec': 100}], 'lmfdb_label': '248430.cb2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.039532274458174876420978158204', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3548586573740552676627138835894789949', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-166538, 83269, 1], [83166, -41583, 1]], 'xcoord_integral_points': [-166538, 83166]}
• lmfdb_label 248430.cb2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10694405
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 6]}
  • id: 10694408
    {'degree': 4, 'field': [100, 0, -6, 0, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 4]}
  • id: 10694406
    {'degree': 4, 'field': [196, 0, -63, 0, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 4]}
  • id: 10694407
    {'degree': 4, 'field': [315, -70, 71, -2, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 4]}
  • id: 10694409
    {'degree': 6, 'field': [26387, -13737, 1386, 41, 72, -3, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 6]}
  • id: 10694411
    {'degree': 8, 'field': [16, 0, -4419, 0, 1307, 0, -81, 0, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 12]}
  • id: 10694412
    {'degree': 8, 'field': [10000, 0, 600, 0, -64, 0, 6, 0, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 12]}
  • id: 10694410
    {'degree': 8, 'field': [79611, 17892, -17048, -1720, 941, -100, 38, -4, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 12]}
  • id: 10694414
    {'degree': 12, 'field': [79440400, -35100000, 24994800, -4173120, 478200, 412560, 44784, 0, 408, -360, -18, 0, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 12]}
  • id: 10694413
    {'degree': 12, 'field': [142212889, -43173858, 47167173, -8230570, 4733070, -763698, 292241, -33126, 9330, -710, 153, -6, 1], 'lmfdb_label': '248430.cb2', 'torsion': [6, 6]}
  • id: 10694415
    {'degree': 16, 'field': [410881, 0, -518660, 0, 227406, 0, -12400, 0, -8429, 0, 80, 0, 366, 0, -20, 0, 1], 'lmfdb_label': '248430.cb2', 'torsion': [4, 4]}
  • id: 10694416
    {'degree': 16, 'field': [1252452100, 0, -1098224000, 0, 249768620, 0, -34410900, 0, 3297101, 0, -198546, 0, 7271, 0, -146, 0, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 8]}
  • id: 10694418
    {'degree': 16, 'field': [5714007952, -10502413824, 12335539136, 355961088, -1185050944, -159634944, 40137888, 15692544, 2380952, 131712, -163632, -9408, 7280, 0, -136, 0, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 8]}
  • id: 10694417
    {'degree': 16, 'field': [607766672475, 182419923600, -166739647100, -31075851800, 14827093680, 850617320, -280156240, -1741560, -980699, 895432, -131012, -25536, 3710, 224, -12, -8, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 8]}
  • id: 10694419
    {'degree': 18, 'field': [-196220234725787, 20171717578617, 52616906074344, 8797611826656, -9670436768706, -1851998651496, 896727031523, 137687999820, -41906240214, -4921737583, 1080125586, 92556660, -15949373, -923874, 132678, 4610, -576, -9, 1], 'lmfdb_label': '248430.cb2', 'torsion': [2, 18]}
• 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: 6157170
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '248430.cb2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6157171
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '248430.cb2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6157172
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '248430.cb2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6157173
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '248430.cb2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6157174
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '248430.cb2', '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: 3240925
    {'adelic_gens': [[9, 4, 10904, 10913], [8737, 12, 8742, 73], [1, 0, 12, 1], [6719, 10908, 7554, 10847], [10909, 12, 10908, 13], [5467, 6, 10914, 10915], [1, 12, 0, 1], [8191, 12, 5466, 73], [10913, 10914, 3126, 5], [3641, 12, 9100, 1]], 'adelic_image': '10920.384.5.?', 'conductor': 248430, 'lmfdb_label': '248430.cb2', 'prime': 0}
  • id: 896775
    {'conductor': 248430, 'elladic_image': '2.6.0.1', 'lmfdb_label': '248430.cb2', 'modell_image': '2Cs', 'prime': 2}
  • id: 896776
    {'conductor': 248430, 'elladic_image': '3.4.0.1', 'lmfdb_label': '248430.cb2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 248430.cb does not appear in ec_padic