Elliptic curve data - 9240.c4

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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': '9240b', 'Clabel': '9240b4', 'Cnumber': 4, 'abc_quality': 1.0334030036012496, 'absD': 105053908215661574400000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, -1, 0, 6054824, 14499537676], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9240, 'degree': 983040, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0999407258062148912794633759', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [11986661998777424518222, 51295853620928503125], 'lmfdb_iso': '9240.c', 'lmfdb_label': '9240.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 6054824, 14499537676], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '20.12.0-4.c.1.1', '40.24.0-40.s.1.4', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4645558102929316909803339312', 'prec': 100}, 'szpiro_ratio': 6.605653942171437, '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, 1, 0, 1, 0, -1, 0, 2, 0, 1, 0, -6, 0, -4, 0], 'aplist': [0, -1, -1, 1, -1, 2, -6, -4, -8, -6, 4, 2, -6, 12, 0, 2, 4, -2, -8, -8, 2, 12, -8, 18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 9240, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '9240.c', 'trace_hash': 1886508145548881703}
• 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': '0.0020296712362864415198866588384', 'prec': 110}, 'conductor': 9240, 'gens': [], 'heights': [], 'lmfdb_label': '9240.c4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.075758422764558747817606847192', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.90910107317470497381128216630458177586', 'prec': 133}, 'tamagawa_product': 48, 'torsion_generators': [[-1651, 0, 1]], 'xcoord_integral_points': [-1651]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [0, 0], '7': [1, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '9240.c4'}
• ec_torsion_growth •

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

  
  
  • id: 479634
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [4]}
  • id: 479635
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [4]}
  • id: 479633
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [2, 2]}
  • id: 479636
    {'degree': 4, 'field': [9, 0, 4, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [2, 4]}
  • id: 479640
    {'degree': 8, 'field': [-3468, 0, -404, 0, -204, 0, 0, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [6]}
  • id: 479637
    {'degree': 8, 'field': [171, -156, 182, -48, 15, 8, 2, -4, 1], 'lmfdb_label': '9240.c4', 'torsion': [2, 4]}
  • id: 479639
    {'degree': 8, 'field': [2401, 0, 637, 0, 44, 0, 13, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [8]}
  • id: 479638
    {'degree': 8, 'field': [13924, 0, -208, 0, 164, 0, -40, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [8]}
  • id: 479641
    {'degree': 16, 'field': [625, 0, 0, 0, 0, 0, 0, 0, 850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [4, 4]}
  • id: 479646
    {'degree': 16, 'field': [530229, 2297400, 3345632, 1528640, -192880, -140492, 175456, 50728, -40830, 5760, 5232, -2456, 652, -140, 40, -8, 1], 'lmfdb_label': '9240.c4', 'torsion': [12]}
  • id: 479644
    {'degree': 16, 'field': [765625, 0, -61000, 0, -7100, 0, 149300, 0, 17950, 0, 1640, 0, 40, 0, 20, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [2, 6]}
  • id: 479645
    {'degree': 16, 'field': [11336689, 0, -1399864, 0, -1082660, 0, -319188, 0, 25350, 0, -408, 0, 400, 0, -4, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [12]}
  • id: 479643
    {'degree': 16, 'field': [13845841, 0, -3810304, 0, 3703232, 0, -1354560, 0, 201266, 0, -15360, 0, 1472, 0, -64, 0, 1], 'lmfdb_label': '9240.c4', 'torsion': [2, 8]}
  • id: 479642
    {'degree': 16, 'field': [15768841, 0, 9210190, 0, 3007789, 0, 431010, 0, 53796, 0, 1230, 0, 109, 0, 10, 0, 1], 'lmfdb_label': '9240.c4', '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: 193461
    {'conductor': 9240, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '9240.c4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 193462
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9240.c4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 193463
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '9240.c4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 193464
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '9240.c4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 193465
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9240.c4', 'prime': 11, '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: 1724997
    {'adelic_gens': [[2201, 8, 2644, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1928, 393, 1147, 1134], [1, 4, 4, 17], [2521, 8, 844, 33], [2696, 1163, 2699, 2728], [1856, 3, 5, 2], [3073, 8, 3072, 9], [7, 6, 3074, 3075]], 'adelic_image': '3080.48.0.?', 'conductor': 9240, 'lmfdb_label': '9240.c4', 'prime': 0}
  • id: 44813
    {'conductor': 9240, 'elladic_image': '8.12.0.8', 'lmfdb_label': '9240.c4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 9240.c does not appear in ec_padic