Elliptic curve data - 34496.v2

Formats: - HTML - YAML - JSON - 2024-06-01T11:16:26.594229

• 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': '34496dq', 'Clabel': '34496dq1', 'Cnumber': 1, 'abc_quality': 0.7810415896622491, 'absD': 679985152, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 308, 'ainvs': [0, 1, 0, -401, -3473], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 34496, 'degree': 24576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43648219900073844140815513126', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [-1272112, 121], 'lmfdb_iso': '34496.v', 'lmfdb_label': '34496.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -100, 384], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '44.6.0.d.1', '308.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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': '-0.85866704891635941252162052964', 'prec': 107}, 'szpiro_ratio': 2.8472865201758557, '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, 4, 0, 0, 0, 1, 0, 1, 0, 2, 0, -8, 0, -2, 0, -8, 0], 'aplist': [0, -2, 4, 0, 1, 2, -2, -8, 0, 6, 2, 10, -10, -8, 6, 6, 6, -2, -12, 8, 2, 12, 8, 8, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 34496, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '34496.v', 'trace_hash': 1785281957833795148}
• 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': '0.41771144909567064562641253857', 'prec': 103}, 'conductor': 34496, 'gens': [], 'heights': [], 'lmfdb_label': '34496.v2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.53045889408164960244468311164', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1218355763265984097787324465607985085', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[23, 0, 1]], 'xcoord_integral_points': [23]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '7': 'a', '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '34496.v2'}
• ec_torsion_growth •

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

  
  
  • id: 1713841
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '34496.v2', 'torsion': [2, 2]}
  • id: 1713842
    {'degree': 4, 'field': [-28, 0, 14, 0, 1], 'lmfdb_label': '34496.v2', 'torsion': [4]}
  • id: 1713845
    {'degree': 8, 'field': [-84672, 0, 14112, 0, -1008, 0, 0, 0, 1], 'lmfdb_label': '34496.v2', 'torsion': [6]}
  • id: 1713844
    {'degree': 8, 'field': [196, 0, -294, 0, 133, 0, -14, 0, 1], 'lmfdb_label': '34496.v2', 'torsion': [2, 4]}
  • id: 1713843
    {'degree': 8, 'field': [2564, -536, 770, -504, 343, -112, 42, -4, 1], 'lmfdb_label': '34496.v2', 'torsion': [2, 4]}
  • id: 1713846
    {'degree': 16, 'field': [5329, 0, 32924, 0, 21860, 0, 15132, 0, 694, 0, -636, 0, -156, 0, 4, 0, 1], 'lmfdb_label': '34496.v2', 'torsion': [8]}
  • id: 1713847
    {'degree': 16, 'field': [316377369, 0, 156881340, 0, 84334096, 0, -3169320, 0, 744702, 0, -26460, 0, -756, 0, 0, 0, 1], 'lmfdb_label': '34496.v2', 'torsion': [2, 6]}
• 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: 810284
    {'conductor': 34496, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '34496.v2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 810285
    {'conductor': 34496, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '34496.v2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 810286
    {'conductor': 34496, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34496.v2', '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: 1894658
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [233, 78, 76, 231], [57, 4, 114, 9], [180, 1, 263, 0], [305, 4, 304, 5]], 'adelic_image': '308.12.0.?', 'conductor': 34496, 'lmfdb_label': '34496.v2', 'prime': 0}
  • id: 153590
    {'conductor': 34496, 'elladic_image': '2.3.0.1', 'lmfdb_label': '34496.v2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 34496.v does not appear in ec_padic