Elliptic curve data - 4410.n2

Formats: - HTML - YAML - JSON - 2023-01-28T22:43:28.214598

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4410q', 'Clabel': '4410q2', 'Cnumber': 2, 'absD': 1072278062884350, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [1, -1, 0, 24246, -614790], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4410, 'degree': 21504, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5727017369111876235563335039', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [53582633, 36450], 'lmfdb_iso': '4410.n', 'lmfdb_label': '4410.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 55, -43], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43603701921435220097030367214', 'prec': 107}, '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, 0, 1, 1, 0, 0, -1, 0, -1, -2, 0, -2, 0, 0, 1, -4, 0, 0, 1], 'aplist': [-1, 0, 1, 0, -2, -2, -4, 0, -8, 0, 2, 8, -2, -2, 10, 2, 4, 10, 2, 12, -10, 16, 16, 14, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 4410, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4410.n', 'trace_hash': 1895122470423062850}
• 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': '0.043049551175352909778150317930', 'prec': 107}, 'conductor': 4410, 'gens': [], 'heights': [], 'lmfdb_label': '4410.n2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.27834429748395120487913218779', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1133771899358048195165287511543374075', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[99, -99, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': 'a', '5': [3, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '4410.n2'}
• ec_torsion_growth •

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

  
  
  • id: 229742
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '4410.n2', 'torsion': [2, 2]}
  • id: 229743
    {'degree': 4, 'field': [-14, 0, 7, 0, 1], 'lmfdb_label': '4410.n2', 'torsion': [4]}
  • id: 229746
    {'degree': 8, 'field': [-160, -60, -215, -83, -54, -1, 2, -3, 1], 'lmfdb_label': '4410.n2', 'torsion': [6]}
  • id: 229744
    {'degree': 8, 'field': [900, 0, 60, 0, 61, 0, 58, 0, 1], 'lmfdb_label': '4410.n2', 'torsion': [2, 4]}
  • id: 229745
    {'degree': 8, 'field': [14400, 0, 1536, 0, 328, 0, -32, 0, 1], 'lmfdb_label': '4410.n2', 'torsion': [2, 4]}
  • id: 229748
    {'degree': 16, 'field': [3600, 0, 191600, 0, 188020, 0, 100464, 0, 7028, 0, -6524, 0, 840, 0, -46, 0, 1], 'lmfdb_label': '4410.n2', 'torsion': [2, 6]}
  • id: 229747
    {'degree': 16, 'field': [11861136, 0, -3669120, 0, -1257564, 0, -388920, 0, -114764, 0, 4400, 0, 321, 0, -10, 0, 1], 'lmfdb_label': '4410.n2', 'torsion': [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: 83550
    {'conductor': 4410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4410.n2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 83551
    {'conductor': 4410, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '4410.n2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 83552
    {'conductor': 4410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4410.n2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 83553
    {'conductor': 4410, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '4410.n2', 'prime': 7, 'reduction_type': 0, '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: 1692678
    {'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [337, 4, 674, 9], [281, 4, 562, 9], [124, 1, 599, 0], [2, 1, 419, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 4410, 'lmfdb_label': '4410.n2', 'prime': 0}
  • id: 21926
    {'conductor': 4410, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4410.n2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 4410.n does not appear in ec_padic