Elliptic curve data - 4263.c3

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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': '4263g', 'Clabel': '4263g4', 'Cnumber': 4, 'abc_quality': 1.088305474316635, 'absD': 2166862573128302721, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4872, 'ainvs': [1, 0, 0, -638667, -183296520], 'analytic_rank': 0, 'bad_primes': [3, 7, 29], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 4263, 'degree': 73728, 'elladic_images': ['4.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2636168577595985868096738267', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [244883173420511137, 18418027974129], 'lmfdb_iso': '4263.c', 'lmfdb_label': '4263.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13034, 528806], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '24.48.0-24.i.1.32', '28.48.0-28.c.1.2', '168.96.0.?', '232.48.0.?', '696.96.0.?', '1624.96.0.?', '4872.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2906617832319419342569974550', 'prec': 100}, 'szpiro_ratio': 6.187688324394694, '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, 2, -1, 0, 3, 1, -2, 4, -1, 2, 0, 2, -1, -2, -1, 4, -2], 'aplist': [-1, 1, 2, 0, 4, 2, -2, 4, 0, 1, 8, -10, 6, 12, 8, 6, -12, 10, -12, -16, -2, 0, -4, 6, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 4263, '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': '4263.c', 'trace_hash': 1140690781171122489}
• 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': '0.010810539776361700005739429837', 'prec': 107}, 'conductor': 4263, 'gens': [], 'heights': [], 'lmfdb_label': '4263.c3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16968418887888876233894531475', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0362102665466651480673437769524359761', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-556, 278, 1], [-360, 180, 1]], 'xcoord_integral_points': [-556, -360]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [3, 0], '7': 'a', '29': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '4263.c3'}
• ec_torsion_growth •

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

  
  
  • id: 221958
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '4263.c3', 'torsion': [2, 4]}
  • id: 221957
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '4263.c3', 'torsion': [2, 4]}
  • id: 221959
    {'degree': 4, 'field': [4, 0, -3, 0, 1], 'lmfdb_label': '4263.c3', 'torsion': [4, 4]}
  • id: 221963
    {'degree': 8, 'field': [-117, -171, -87, 3, 11, -4, -3, -2, 1], 'lmfdb_label': '4263.c3', 'torsion': [2, 6]}
  • id: 221960
    {'degree': 8, 'field': [4, -8, 10, -8, 3, 5, -2, -1, 1], 'lmfdb_label': '4263.c3', 'torsion': [2, 8]}
  • id: 221962
    {'degree': 8, 'field': [36, 0, -9192, 0, 2104, 0, -92, 0, 1], 'lmfdb_label': '4263.c3', 'torsion': [2, 8]}
  • id: 221961
    {'degree': 8, 'field': [15129, 0, -96, 0, 1846, 0, -80, 0, 1], 'lmfdb_label': '4263.c3', 'torsion': [2, 8]}
  • id: 221965
    {'degree': 16, 'field': [1, -2, 2, -12, 13, 8, 30, -26, -12, -26, 30, 8, 13, -12, 2, -2, 1], 'lmfdb_label': '4263.c3', 'torsion': [4, 8]}
  • id: 221968
    {'degree': 16, 'field': [441, 0, -24115, 0, 11026, 0, -9585, 0, 3140, 0, -659, 0, 72, 0, -4, 0, 1], 'lmfdb_label': '4263.c3', 'torsion': [2, 12]}
  • id: 221967
    {'degree': 16, 'field': [5957, 434, -5369, -3017, 3458, 1260, -395, -449, 11, -182, 141, 37, -10, -21, 11, -4, 1], 'lmfdb_label': '4263.c3', 'torsion': [2, 12]}
  • id: 221964
    {'degree': 16, 'field': [2436721, 0, 9284520, 0, 5647530, 0, 1342740, 0, 218107, 0, 22740, 0, 1518, 0, 60, 0, 1], 'lmfdb_label': '4263.c3', 'torsion': [4, 8]}
  • id: 221966
    {'degree': 16, 'field': [16845984, 3741696, -1929456, -3229776, 634570, 1158060, -354438, -29788, 12305, -5644, 3782, -1780, 600, -168, 44, -8, 1], 'lmfdb_label': '4263.c3', '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: 80261
    {'conductor': 4263, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '4263.c3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 80262
    {'conductor': 4263, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '4263.c3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 80263
    {'conductor': 4263, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4263.c3', 'prime': 29, 'reduction_type': 1, '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: 1691685
    {'adelic_gens': [[4865, 8, 4864, 9], [4033, 4, 0, 1], [1, 0, 8, 1], [1, 8, 0, 1], [2441, 1220, 1240, 2445], [4865, 4870, 3498, 5], [1, 1222, 0, 3655], [5, 4, 4868, 4869], [1625, 8, 1628, 33]], 'adelic_image': '4872.192.1.?', 'conductor': 4263, 'lmfdb_label': '4263.c3', 'prime': 0}
  • id: 21162
    {'conductor': 4263, 'elladic_image': '4.24.0.3', 'lmfdb_label': '4263.c3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 4263.c does not appear in ec_padic