Elliptic curve data - 293046.f6

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '293046f', 'Clabel': '293046f3', 'Cnumber': 3, 'abc_quality': 1.0301007930420596, 'absD': 341037888164242610861988, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3536, 'ainvs': [1, 1, 0, 11037049, -24290570871], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 293046, 'degree': 42467328, 'elladic_images': ['16.48.0.132'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1995860461203760076807220257', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1276229915423, 2927177028], 'lmfdb_iso': '293046.f', 'lmfdb_label': '293046.f6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 226, -2232], 'min_quad_twist_disc': 221, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '16.48.0.y.2', '52.12.0-4.c.1.1', '68.12.0.h.1', '104.48.0.?', '136.48.0.?', '208.96.0.?', '272.96.1.?', '884.24.0.?', '1768.96.0.?', '3536.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2788074177213645683363875542', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 48841], [3, 4, 97682], [13, 86, 1734], [17, 162, 1014]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099598', 'prec': 103}, 'szpiro_ratio': 4.873674823043526, '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, -1, -1, 1, -2, 1, 0, -1, 1, 2, -4, -1, 0, 0, 2, 1, 0, -1, -4, -2], 'aplist': [-1, -1, -2, 0, -4, 0, 0, -4, 0, 10, 8, -2, 10, 12, 0, 6, -12, 10, 12, 0, 10, 8, -4, 6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 293046, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '293046.f', 'trace_hash': 612070750598949473}
• 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': '0.0016629334589316568881464415984', 'prec': 110}, 'conductor': 293046, 'gens': [[3371, 224669, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2788074177213645683363875542', 'prec': 100}], 'lmfdb_label': '293046.f6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.049766954295209277764809916360', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4070914111318653243177955339775317230', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[6923, -6923, 2]], 'xcoord_integral_points': [3371, 13941]}
• lmfdb_label 293046.f6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12437591
    {'degree': 2, 'field': [-55, -1, 1], 'lmfdb_label': '293046.f6', 'torsion': [4]}
  • id: 12437592
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [4]}
  • id: 12437590
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [2, 2]}
  • id: 12437593
    {'degree': 4, 'field': [1, 0, 15, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [2, 4]}
  • id: 12437594
    {'degree': 4, 'field': [4, 0, -30, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [8]}
  • id: 12437595
    {'degree': 4, 'field': [3251, 106, -105, -2, 1], 'lmfdb_label': '293046.f6', 'torsion': [8]}
  • id: 12437598
    {'degree': 8, 'field': [625, 0, 818, 0, 311, 0, 38, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [2, 8]}
  • id: 12437596
    {'degree': 8, 'field': [2721, 1258, 752, -510, 125, -34, 4, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [2, 4]}
  • id: 12437597
    {'degree': 8, 'field': [10201, 0, 19396, 0, 878, 0, 52, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [8]}
  • id: 12437600
    {'degree': 8, 'field': [13269, -895308, 192608, -34992, 5334, -356, -12, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [6]}
  • id: 12437599
    {'degree': 8, 'field': [128164, 0, 22800, 0, 1526, 0, 48, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [16]}
  • id: 12437603
    {'degree': 16, 'field': [-23560913, 90355088, -75302324, -27903544, 8807816, 5170520, -79512, -1354360, 265517, 56056, -18876, 4576, -1066, 112, 4, -8, 1], 'lmfdb_label': '293046.f6', 'torsion': [16]}
  • id: 12437601
    {'degree': 16, 'field': [47089, 0, -39828, 0, 59154, 0, 924, 0, 3283, 0, -1644, 0, 282, 0, -24, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [4, 4]}
  • id: 12437602
    {'degree': 16, 'field': [804609, 0, -856856, 0, 343066, 0, -68908, 0, 2603, 0, 1652, 0, 398, 0, 28, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [2, 8]}
  • id: 12437604
    {'degree': 16, 'field': [11216804, -5093472, 6431040, 6808288, -3337000, -783312, 386064, 6592, 105384, -13184, -25104, 1296, 2164, -56, -72, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [2, 16]}
  • id: 12437607
    {'degree': 16, 'field': [15952036, 0, 3934421, 0, 481774, 0, 246903, 0, 4983, 0, 4551, 0, 79, 0, 26, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [12]}
  • id: 12437605
    {'degree': 16, 'field': [12327354152, -555037236, -118119379, 2007011170, 841346246, 301659016, 129647463, 32611168, 6937305, 925102, 40317, -16004, -2861, -344, 46, 0, 1], 'lmfdb_label': '293046.f6', 'torsion': [2, 6]}
  • id: 12437606
    {'degree': 16, 'field': [324946608172, 22926015568, -45542966176, -646275944, 1594619688, 165205462, -210465291, -7551260, 3348355, 737274, -236207, -9590, 2369, 378, -103, -4, 1], 'lmfdb_label': '293046.f6', 'torsion': [12]}
• 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: 7263592
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '293046.f6', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7263593
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '293046.f6', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7263594
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '293046.f6', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7263595
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '293046.f6', 'prime': 17, '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: 3510459
    {'adelic_gens': [[792, 3263, 273, 1078], [2354, 1027, 2847, 430], [1, 16, 0, 1], [3277, 832, 2236, 937], [3521, 16, 3520, 17], [15, 2, 3438, 3523], [271, 0, 0, 3535], [1, 0, 16, 1], [5, 4, 3532, 3533]], 'adelic_image': '3536.192.1.?', 'conductor': 293046, 'lmfdb_label': '293046.f6', 'prime': 0}
  • id: 1037527
    {'conductor': 293046, 'elladic_image': '16.48.0.132', 'lmfdb_label': '293046.f6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 293046.f does not appear in ec_padic