Elliptic curve data - 3520.d4

Formats: - HTML - YAML - JSON - 2024-06-16T15:16:40.407238

• 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': '3520u', 'Clabel': '3520u1', 'Cnumber': 1, 'abc_quality': 0.9670463504502834, 'absD': 15488000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 1, 0, -181, -981], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 3520, 'degree': 1152, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.16514414167132836963257974623', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [643956736, 15125], 'lmfdb_iso': '3520.d', 'lmfdb_label': '3520.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -45, 100], 'min_quad_twist_disc': -8, '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', '24.24.0-6.a.1.6', '30.24.0.a.1', '44.6.0.b.1', '120.48.0.?', '132.24.0.?', '220.12.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41247850879529272154844702165', 'prec': 107}, 'szpiro_ratio': 3.332585497638183, '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, 4, 0, 1, 0, -1, 0, 4, 0, 2, 0, 0, 0, -4, 0], 'aplist': [0, -2, -1, 4, -1, 4, 0, -4, 6, 6, -8, -2, 6, 8, -6, 6, -12, -2, -10, 12, -16, -8, 0, 6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 3520, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '3520.d', 'trace_hash': 286313111013460096}
• 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': '0.71871650956596668091531684348', 'prec': 103}, 'conductor': 3520, 'gens': [], 'heights': [], 'lmfdb_label': '3520.d4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3028711997404463563570136491', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3028711997404463563570136491096006448', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-9, 0, 1]], 'xcoord_integral_points': [-9]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [0, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '3520.d4'}
• ec_torsion_growth •

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

  
  
  • id: 183148
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3520.d4', 'torsion': [2, 2]}
  • id: 183149
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [6]}
  • id: 183151
    {'degree': 4, 'field': [4, 0, 6, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [2, 6]}
  • id: 183150
    {'degree': 4, 'field': [5, 0, 8, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [4]}
  • id: 183152
    {'degree': 6, 'field': [-6, 0, 16, 0, -2, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [6]}
  • id: 183153
    {'degree': 8, 'field': [1, 0, -72, 0, 34, 0, -8, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [2, 4]}
  • id: 183155
    {'degree': 8, 'field': [4, 0, 56, 0, 60, 0, 16, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [12]}
  • id: 183154
    {'degree': 8, 'field': [81, 0, 180, 0, 107, 0, 20, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [2, 4]}
  • id: 183157
    {'degree': 12, 'field': [36, 0, -288, 0, 340, 0, -204, 0, 116, 0, -6, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [2, 6]}
  • id: 183156
    {'degree': 12, 'field': [36, 0, 96, 0, 244, 0, 20, 0, -12, 0, 2, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [3, 6]}
  • id: 183160
    {'degree': 16, 'field': [25, 0, 820, 0, 3914, 0, 7336, 0, 6419, 0, 2632, 0, 466, 0, 36, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [2, 12]}
  • id: 183159
    {'degree': 16, 'field': [400, 0, -800, 0, 2960, 0, -4320, 0, 1996, 0, -112, 0, 4, 0, -8, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [2, 12]}
  • id: 183158
    {'degree': 16, 'field': [178084, 0, 113536, 0, 56008, 0, 10768, 0, 6000, 0, -192, 0, 252, 0, -24, 0, 1], 'lmfdb_label': '3520.d4', 'torsion': [8]}
  • id: 183161
    {'degree': 18, 'field': [2312, 0, 7472, 0, 4280, 0, -1608, 0, 528, 0, 24, 0, 34, 0, 20, 0, 4, 0, 1], 'lmfdb_label': '3520.d4', '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: 64419
    {'conductor': 3520, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3520.d4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 64420
    {'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3520.d4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 64421
    {'conductor': 3520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3520.d4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1686813
    {'adelic_gens': [[659, 0, 0, 1319], [279, 58, 626, 401], [449, 2, 498, 13], [11, 2, 1270, 1311], [1309, 1318, 710, 669], [779, 1308, 714, 1247], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [671, 1308, 672, 1307], [1309, 12, 1308, 13], [10, 3, 501, 652]], 'adelic_image': '1320.96.1.?', 'conductor': 3520, 'lmfdb_label': '3520.d4', 'prime': 0}
  • id: 17514
    {'conductor': 3520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3520.d4', 'modell_image': '2B', 'prime': 2}
  • id: 17515
    {'conductor': 3520, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3520.d4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 3520.d does not appear in ec_padic