Elliptic curve data - 847.c3

Formats: - HTML - YAML - JSON - 2023-09-29T13:14:33.871477

• 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': '847a', 'Clabel': '847a3', 'Cnumber': 3, 'absD': 204685160301366899, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 1386, 'ainvs': [0, 1, 1, 53321, 21262764], 'analytic_rank': 0, 'bad_primes': [7, 11], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 847, 'degree': 7200, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0025602556818908269511359727', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3, 9], 'jinv': [9463555063808, 115539436859], 'lmfdb_iso': '847.c', 'lmfdb_label': '847.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 441, -15815], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '9.12.0.a.1', '18.24.0-9.a.1.2', '22.2.0.a.1', '33.8.0-3.a.1.1', '63.36.0.e.2', '66.16.0-66.a.1.2', '99.24.0.?', '126.72.0.?', '198.48.1.?', '693.72.0.?', '1386.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80361261928270555492016418372', 'prec': 103}, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, 3, 0, -1, 0, -2, 0, 0, -2, 4, 0, 3, 4, 6, 0, -2, -6], 'aplist': [0, 1, 3, -1, 0, 4, 6, -2, 3, 6, 5, 11, -6, -8, 0, -6, -9, 10, 5, 9, -2, 10, -12, -3, -1], 'class_deg': 9, 'class_size': 3, 'conductor': 847, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '847.c', 'trace_hash': 1718186518346920320}
• 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': '0.018222093157055045610214020017', 'prec': 107}, 'conductor': 847, 'gens': [], 'heights': [], 'lmfdb_label': '847.c3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23410983208537634840909606507', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8728786566830107872727685205872633663', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 4, 0], '3': [2, 0], '5': [0, 0], '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '847.c3'}
• ec_torsion_growth •

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

  
  
  • id: 39984
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '847.c3', 'torsion': [3]}
  • id: 39985
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '847.c3', 'torsion': [2]}
  • id: 39989
    {'degree': 6, 'field': [-2, -6, -2, 7, 1, -1, 1], 'lmfdb_label': '847.c3', 'torsion': [6]}
  • id: 39986
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '847.c3', 'torsion': [2, 2]}
  • id: 39987
    {'degree': 6, 'field': [132, -132, 15, -5, 12, -3, 1], 'lmfdb_label': '847.c3', 'torsion': [3]}
  • id: 39988
    {'degree': 6, 'field': [181, -927, 651, 61, -63, -3, 1], 'lmfdb_label': '847.c3', 'torsion': [9]}
  • id: 39990
    {'degree': 12, 'field': [-83, -70, 40, -192, 209, -64, -8, 24, -5, -10, 8, -4, 1], 'lmfdb_label': '847.c3', 'torsion': [4]}
  • id: 39993
    {'degree': 12, 'field': [1, -1, -1, 4, -1, -3, 6, -3, -1, 4, -1, -1, 1], 'lmfdb_label': '847.c3', 'torsion': [2, 6]}
  • id: 39992
    {'degree': 12, 'field': [2883, -7065, 7263, -5040, 3840, -2670, 1375, -636, 285, -100, 33, -6, 1], 'lmfdb_label': '847.c3', 'torsion': [9]}
  • id: 39991
    {'degree': 12, 'field': [17424, -17424, 15444, -660, -2019, 2697, -287, -102, 114, -26, -3, -3, 1], 'lmfdb_label': '847.c3', 'torsion': [3, 3]}
  • id: 39994
    {'degree': 18, 'field': [117649, 0, 0, -67228, 0, 0, 26411, 0, 0, -4116, 0, 0, 539, 0, 0, -28, 0, 0, 1], 'lmfdb_label': '847.c3', 'torsion': [2, 6]}
  • id: 39995
    {'degree': 18, 'field': [89060293, 2089446240, 4018301595, 3331147400, 1437452289, 81682020, -251816880, -112798980, 259308, 12594960, 2131059, -617400, -175861, 14700, 6615, -140, -126, 0, 1], 'lmfdb_label': '847.c3', 'torsion': [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: 11049
    {'conductor': 847, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '847.c3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11050
    {'conductor': 847, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '847.c3', '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: 1669926
    {'adelic_gens': [[1, 18, 0, 1], [10, 9, 81, 73], [1, 0, 18, 1], [1369, 18, 1368, 19], [1, 18, 0, 155], [251, 1368, 873, 1223], [1, 18, 10, 181], [7, 18, 1170, 463]], 'adelic_image': '1386.144.3.?', 'conductor': 847, 'lmfdb_label': '847.c3', 'prime': 0}
  • id: 3896
    {'conductor': 847, 'elladic_image': '9.12.0.1', 'lmfdb_label': '847.c3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 847.c does not appear in ec_padic