Elliptic curve data - 142296.cu3

Formats: - HTML - YAML - JSON - 2024-06-01T07:47:19.607526

• 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': '142296i', 'Clabel': '142296i2', 'Cnumber': 2, 'abc_quality': 0.9793898903636942, 'absD': 1905934294824747264, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 924, 'ainvs': [0, 1, 0, -1496084, 700702176], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 142296, 'degree': 3317760, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3535180949472752970891793621', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2], 'jinv': [6940769488, 35721], 'lmfdb_iso': '142296.cu', 'lmfdb_label': '142296.cu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -252, 1620], 'min_quad_twist_disc': 77, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0.a.1', '44.12.0-2.a.1.1', '84.24.0.?', '132.24.0.?', '308.24.0.?', '924.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3701383197198645418489387363', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28048273635286350043929021291', 'prec': 107}, 'szpiro_ratio': 4.573590266444505, '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, -2, 0, 0, 0, 1, 0, 0, 0, 6, 0, -2, 0, -2, 0, 4, 0], 'aplist': [0, 1, -2, 0, 0, 6, -2, 4, -4, 10, 8, 6, -2, 4, -8, -10, -12, -2, 12, -12, -14, 8, 12, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 142296, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '142296.cu', 'trace_hash': 301686320942031263}
• 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': '0.0090315056220844105274351680302', 'prec': 110}, 'conductor': 142296, 'gens': [[766, 2178, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3701383197198645418489387363', 'prec': 100}], 'lmfdb_label': '142296.cu3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26456053854681523190206322633', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.6996287619691810123407933943128988285', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[667, 0, 1], [744, 0, 1]], 'xcoord_integral_points': [-1412, -950, 646, 667, 744, 766, 2188, 8290]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': 'a', '11': 'a', '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '142296.cu3'}
• ec_torsion_growth •

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

  
  
  • id: 6429720
    {'degree': 4, 'field': [1, 0, -9, 0, 1], 'lmfdb_label': '142296.cu3', 'torsion': [2, 4]}
  • id: 6429722
    {'degree': 4, 'field': [64, 0, -5, 0, 1], 'lmfdb_label': '142296.cu3', 'torsion': [2, 4]}
  • id: 6429721
    {'degree': 4, 'field': [5929, 0, -77, 0, 1], 'lmfdb_label': '142296.cu3', 'torsion': [2, 4]}
  • id: 6429723
    {'degree': 8, 'field': [-211581, -176076, -86826, -13152, -1956, -236, -6, 0, 1], 'lmfdb_label': '142296.cu3', 'torsion': [2, 6]}
  • id: 6429725
    {'degree': 16, 'field': [-2268, 1512, 13104, -20664, -22938, 40080, 9844, -27398, 677, 9278, -1166, -1710, 304, 154, -34, -4, 1], 'lmfdb_label': '142296.cu3', 'torsion': [2, 8]}
  • id: 6429724
    {'degree': 16, 'field': [71824, 0, -41752, 0, -799, 0, 5004, 0, -868, 0, -222, 0, 92, 0, 20, 0, 1], 'lmfdb_label': '142296.cu3', 'torsion': [4, 4]}
  • id: 6429727
    {'degree': 16, 'field': [71994561, -378192, 4777356, -8236200, 2827006, 1245832, 42392, -298896, -35657, 63944, -3584, -4480, 322, 168, -4, -8, 1], 'lmfdb_label': '142296.cu3', 'torsion': [2, 8]}
  • id: 6429726
    {'degree': 16, 'field': [1632483216, 0, -495083232, 0, 113010144, 0, -21013632, 0, 2429596, 0, -162976, 0, 6216, 0, -124, 0, 1], 'lmfdb_label': '142296.cu3', '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: 3516778
    {'conductor': 142296, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '142296.cu3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3516779
    {'conductor': 142296, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '142296.cu3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3516780
    {'conductor': 142296, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '142296.cu3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3516781
    {'conductor': 142296, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '142296.cu3', '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: 2588866
    {'adelic_gens': [[1, 0, 4, 1], [1, 4, 0, 1], [921, 4, 920, 5], [463, 506, 0, 1], [617, 88, 814, 177], [251, 0, 0, 923], [263, 418, 0, 923]], 'adelic_image': '924.48.0.?', 'conductor': 142296, 'lmfdb_label': '142296.cu3', 'prime': 0}
  • id: 549572
    {'conductor': 142296, 'elladic_image': '2.6.0.1', 'lmfdb_label': '142296.cu3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 142296.cu does not appear in ec_padic