Elliptic curve data - 2310.o4

Formats: - HTML - YAML - JSON - 2023-01-30T20:14:41.646744

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2310o', 'Clabel': '2310o2', 'Cnumber': 2, 'absD': 671785075055001600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [1, 1, 1, -5575730, 5065104575], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2310, 'degree': 92160, 'elladic_images': ['8.48.0.25'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5108584014722441549876318328', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [19170300594578891358373921, 671785075055001600], 'lmfdb_iso': '2310.o', 'lmfdb_label': '2310.o4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5575730, 5065104575], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['1.1.0.1', '2.6.0.1', '4.24.0.5', '8.48.0.25', '56.96.0.?', '60.48.0.?', '120.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5108584014722441549876318328', 'prec': 100}, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
• 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, 1, 1, 1, 1, -1, -1, -2, 1, -1, 1, 2, 1, -4, 1], 'aplist': [1, -1, 1, 1, -1, -2, 2, -4, 8, 6, 8, -2, 2, 4, 8, -10, -12, -2, -4, 8, 2, 16, -4, -14, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 2310, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '2310.o', 'trace_hash': 781534013473579936}
• 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': '0.0065931977659775331884016479991', 'prec': 110}, 'conductor': 2310, 'gens': [], 'heights': [], 'lmfdb_label': '2310.o4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26843000563938978863981367056', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6843000563938978863981367056072800602', 'prec': 130}, 'tamagawa_product': 640, 'torsion_generators': [[-2727, 1363, 1], [1593, 14323, 1]], 'xcoord_integral_points': [-2727, 1145, 1369, 1593]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [0, 0], '5': [3, 0], '7': [1, 0], '11': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '2310.o4'}
• ec_torsion_growth •

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

  
  
  • id: 117994
    {'degree': 4, 'field': [16, 0, -22, 0, 1], 'lmfdb_label': '2310.o4', 'torsion': [2, 8]}
  • id: 117992
    {'degree': 4, 'field': [16, 0, -7, 0, 1], 'lmfdb_label': '2310.o4', 'torsion': [4, 4]}
  • id: 117993
    {'degree': 4, 'field': [16, 0, 6, 0, 1], 'lmfdb_label': '2310.o4', 'torsion': [2, 8]}
  • id: 117996
    {'degree': 8, 'field': [-2200, 1300, -1450, 299, -146, -7, 7, -4, 1], 'lmfdb_label': '2310.o4', 'torsion': [2, 12]}
  • id: 117995
    {'degree': 8, 'field': [246016, 0, 38689, 0, 2511, 0, 79, 0, 1], 'lmfdb_label': '2310.o4', 'torsion': [4, 8]}
  • id: 118000
    {'degree': 16, 'field': [65536, 0, -360448, 0, -46592, 0, 57344, 0, 26320, 0, 3584, 0, -182, 0, -88, 0, 1], 'lmfdb_label': '2310.o4', 'torsion': [2, 16]}
  • id: 117998
    {'degree': 16, 'field': [67104, 169920, 51360, -60288, 76402, 48084, -37930, -16152, 13881, 840, -2630, 72, 360, -12, -28, 0, 1], 'lmfdb_label': '2310.o4', 'torsion': [4, 8]}
  • id: 117999
    {'degree': 16, 'field': [102252544, 0, 57638912, 0, 512772480, 0, 1755520, 0, 2341828, 0, 21296, 0, 4668, 0, 72, 0, 1], 'lmfdb_label': '2310.o4', 'torsion': [2, 16]}
  • id: 117997
    {'degree': 16, 'field': [2097273616, 0, 0, 0, 250739041, 0, 0, 0, 7753491, 0, 0, 0, 4291, 0, 0, 0, 1], 'lmfdb_label': '2310.o4', 'torsion': [4, 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: 39024
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '2310.o4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 39025
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2310.o4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 39026
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.o4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 39027
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.o4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 39028
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.o4', '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: 1678955
    {'adelic_gens': [[833, 8, 832, 9], [1, 0, 8, 1], [287, 2, 822, 835], [1, 8, 0, 1], [5, 4, 836, 837], [241, 8, 124, 33], [679, 2, 654, 835], [3, 638, 28, 285], [425, 212, 212, 421]], 'adelic_image': '840.192.1.?', 'conductor': 2310, 'lmfdb_label': '2310.o4', 'prime': 0}
  • id: 11386
    {'conductor': 2310, 'elladic_image': '8.48.0.25', 'lmfdb_label': '2310.o4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 2310.o does not appear in ec_padic