Elliptic curve data - 910.k2

Formats: - HTML - YAML - JSON - 2026-02-02T02:41:52.244863

• 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': '910i', 'Clabel': '910i1', 'Cnumber': 1, 'abc_quality': 0.9428641726170456, 'absD': 12740, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3640, 'ainvs': [1, 1, 1, -6, -1], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 910, 'degree': 64, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.52072518899756752829602130247', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [24137569, 12740], 'lmfdb_iso': '910.k', 'lmfdb_label': '910.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -6, -1], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.d.1', '130.6.0.?', '3640.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 65], [5, 6, 182], [7, 8, 130], [13, 14, 70]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52072518899756752829602130247', 'prec': 107}, 'szpiro_ratio': 2.4949612220458346, '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, 2, 1, -1, 2, 1, 1, 1, -1, 4, 2, 1, 1, -2, 1, 0, 1, -2, -1], 'aplist': [1, 2, -1, 1, 4, 1, 0, -2, 2, -2, 0, 2, 0, -4, 0, 4, -6, 6, 4, -6, -14, -8, -12, 0, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 910, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '910.k', 'trace_hash': 1486392335721367374}
• 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': '2.8333234256570823567976946212', 'prec': 100}, 'conductor': 910, 'gens': [], 'heights': [], 'lmfdb_label': '910.k2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '3.5045156420410926989898491195', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5045156420410926989898491195370369582', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-3, 1, 1]], 'xcoord_integral_points': [-3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '5': [0, 0], '7': [1, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '910.k2'}
• ec_torsion_growth •

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

  
  
  • id: 43503
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '910.k2', 'torsion': [2, 2]}
  • id: 43504
    {'degree': 4, 'field': [8, -16, 17, -2, 1], 'lmfdb_label': '910.k2', 'torsion': [4]}
  • id: 43505
    {'degree': 8, 'field': [-1024, -128, 120, 32, 249, -2, -30, -2, 1], 'lmfdb_label': '910.k2', 'torsion': [2, 4]}
  • id: 43507
    {'degree': 8, 'field': [-940, -128, 20, 215, -104, -7, 7, -4, 1], 'lmfdb_label': '910.k2', 'torsion': [6]}
  • id: 43506
    {'degree': 8, 'field': [1456, -1456, 2276, 216, 508, 228, 9, -2, 1], 'lmfdb_label': '910.k2', 'torsion': [2, 4]}
  • id: 43509
    {'degree': 16, 'field': [-3792896, 2252800, -4567552, 4986880, -1862400, 1735936, -892416, -156416, 108850, 7800, -5792, 127, 92, 105, -25, -4, 1], 'lmfdb_label': '910.k2', 'torsion': [2, 6]}
  • id: 43508
    {'degree': 16, 'field': [4324496, -2805888, 4189984, -3209920, 2732632, -1414784, 563192, -57744, -8399, 9848, 4340, -4648, 1806, -504, 92, -8, 1], 'lmfdb_label': '910.k2', '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: 12240
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '910.k2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 12241
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '910.k2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 12242
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '910.k2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 12243
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '910.k2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1670335
    {'adelic_gens': [[521, 4, 1042, 9], [1, 2, 2, 5], [1, 4, 0, 1], [1122, 1, 3079, 0], [3637, 4, 3636, 5], [1369, 2276, 3184, 455], [1821, 4, 2, 9], [1, 0, 4, 1], [3, 4, 8, 11], [2914, 1, 2183, 0]], 'adelic_image': '3640.12.0.?', 'conductor': 910, 'lmfdb_label': '910.k2', 'prime': 0}
  • id: 4262
    {'conductor': 910, 'elladic_image': '2.3.0.1', 'lmfdb_label': '910.k2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 910.k does not appear in ec_padic