Elliptic curve data - 317680.g3

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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': '317680g', 'Clabel': '317680g2', 'Cnumber': 2, 'abc_quality': 0.9221991499003567, 'absD': 21939085738557889003520, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 12540, 'ainvs': [0, 1, 0, -9695136, 9174055924], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 317680, 'degree': 23224320, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0006755629442116725435302729', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [523002686860009, 113851032020], 'lmfdb_iso': '317680.g', 'lmfdb_label': '317680.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1679, 20766], 'min_quad_twist_disc': 76, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '30.24.0.a.1', '132.24.0.?', '228.24.0.?', '660.48.0.?', '836.6.0.?', '1140.48.0.?', '2508.48.0.?', '4180.12.0.?', '12540.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1805], [5, 6, 63536], [11, 12, 28880], [19, 200, 880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83530889280104613312178443550', 'prec': 103}, 'szpiro_ratio': 4.726178358907456, '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, 0, -2, 0, -1, 0, -2, 0, 1, 0, 1, 0, -2, 0, 2, 0, 0, 0, 0, 0], 'aplist': [0, -2, -1, -2, 1, -2, 0, 0, 0, 6, -4, -8, -6, -2, 12, 12, 12, -10, 14, 0, 8, -16, -6, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 317680, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '317680.g', 'trace_hash': 2300152440976931134}
• 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': '0.0024754053319429042046354710437', 'prec': 110}, 'conductor': 317680, 'gens': [], 'heights': [], 'lmfdb_label': '317680.g3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11396574304293226799347192482', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.91172594434345814394777539859887004818', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[-3509, 0, 1]], 'xcoord_integral_points': [-3509]}
• lmfdb_label 317680.g3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13374566
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '317680.g3', 'torsion': [6]}
  • id: 13374565
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '317680.g3', 'torsion': [2, 2]}
  • id: 13374567
    {'degree': 4, 'field': [4, -15, 16, -2, 1], 'lmfdb_label': '317680.g3', 'torsion': [4]}
  • id: 13374568
    {'degree': 4, 'field': [305, 40, -39, -2, 1], 'lmfdb_label': '317680.g3', 'torsion': [2, 6]}
  • id: 13374569
    {'degree': 6, 'field': [35796, -25992, 11116, -188, 246, -2, 1], 'lmfdb_label': '317680.g3', 'torsion': [6]}
  • id: 13374572
    {'degree': 8, 'field': [256, 0, 16, 0, -20, 0, 1, 0, 1], 'lmfdb_label': '317680.g3', 'torsion': [12]}
  • id: 13374570
    {'degree': 8, 'field': [400, 0, -565, 0, 184, 0, 24, 0, 1], 'lmfdb_label': '317680.g3', 'torsion': [2, 4]}
  • id: 13374571
    {'degree': 8, 'field': [9025, 0, -11400, 0, -5870, 0, -40, 0, 1], 'lmfdb_label': '317680.g3', 'torsion': [2, 4]}
  • id: 13374573
    {'degree': 12, 'field': [238854933, 348944994, 173223975, 23283360, -4393238, -480282, 48995, -46284, 2958, -114, 59, 0, 1], 'lmfdb_label': '317680.g3', 'torsion': [3, 6]}
  • id: 13374574
    {'degree': 12, 'field': [35198637769, 0, 3374274942, 0, 162478215, 0, 3699020, 0, 48735, 0, 342, 0, 1], 'lmfdb_label': '317680.g3', 'torsion': [2, 6]}
  • id: 13374576
    {'degree': 16, 'field': [58525, -2650, 73710, -157550, 119944, -56448, 29884, -8070, 73, 1608, -700, 274, -76, -14, 22, -8, 1], 'lmfdb_label': '317680.g3', 'torsion': [2, 12]}
  • id: 13374577
    {'degree': 16, 'field': [52113961, 0, -45966404, 0, 2360290, 0, -340256, 0, 210939, 0, -28656, 0, 2010, 0, -84, 0, 1], 'lmfdb_label': '317680.g3', 'torsion': [2, 12]}
  • id: 13374575
    {'degree': 16, 'field': [4251040000, 0, -508149000, 0, -80226100, 0, 6167050, 0, 819545, 0, -37860, 0, -1334, 0, 34, 0, 1], 'lmfdb_label': '317680.g3', 'torsion': [8]}
  • id: 13374578
    {'degree': 18, 'field': [-10387939, 33257914, 875117, -65776770, -37587035, 23700548, 37099190, 19422332, 5014433, 912378, 425934, 131326, 8811, -536, -594, -216, -46, 0, 1], 'lmfdb_label': '317680.g3', '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: 7866591
    {'conductor': 317680, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '317680.g3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7866592
    {'conductor': 317680, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '317680.g3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7866593
    {'conductor': 317680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '317680.g3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7866594
    {'conductor': 317680, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '317680.g3', 'prime': 19, '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: 3656531
    {'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [12529, 12, 12528, 13], [9121, 12, 4566, 73], [8369, 2, 8418, 13], [10, 3, 2481, 12532], [11, 2, 12490, 12531], [2639, 12528, 3294, 12467], [7305, 11492, 7342, 11503], [1, 0, 12, 1]], 'adelic_image': '12540.96.1.?', 'conductor': 317680, 'lmfdb_label': '317680.g3', 'prime': 0}
  • id: 1112245
    {'conductor': 317680, 'elladic_image': '2.3.0.1', 'lmfdb_label': '317680.g3', 'modell_image': '2B', 'prime': 2}
  • id: 1112246
    {'conductor': 317680, 'elladic_image': '3.4.0.1', 'lmfdb_label': '317680.g3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 317680.g does not appear in ec_padic