Elliptic curve data - 109520.u1

Formats: - HTML - YAML - JSON - 2026-05-25T13:07:42.842764

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '109520e', 'Clabel': '109520e2', 'Cnumber': 2, 'abc_quality': 0.8418129992365262, 'absD': 6654041077507942400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1480, 'ainvs': [0, -1, 0, -2245616, 1290032480], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 109520, 'degree': 3921408, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4563559097073721097173192743', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2], 'jinv': [4705274, 25], 'lmfdb_iso': '109520.u', 'lmfdb_label': '109520.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1640, -26000], 'min_quad_twist_disc': -148, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.f.1', '296.6.0.?', '740.6.0.?', '1480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 37], [5, 6, 21904], [37, 398, 80]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.88721744028907942385788192364', 'prec': 107}, 'szpiro_ratio': 4.781776322895398, '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, 4, 0, 2, 0, -2, 0, -6, 0, -8, 0], 'aplist': [0, 2, -1, -4, 4, 2, -6, -8, -4, 6, -2, 0, 2, -4, -12, -12, 8, -2, -2, 8, -6, 6, -14, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 109520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '109520.u', 'trace_hash': 2035762991501324334}
• 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': '0.0073525225583970508553822750289', 'prec': 110}, 'conductor': 109520, 'gens': [], 'heights': [], 'lmfdb_label': '109520.u1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23839205349438151505405580016', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.47678410698876303010811160031339305400', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[913, 0, 1]], 'xcoord_integral_points': [913]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [0, 0], '37': 'a'}, 'iwp0': 3, 'lmfdb_label': '109520.u1'}
• ec_torsion_growth •

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

  
  
  • id: 5047027
    {'degree': 2, 'field': [-74, 0, 1], 'lmfdb_label': '109520.u1', 'torsion': [2, 2]}
  • id: 5047028
    {'degree': 4, 'field': [86, -81, -69, -1, 1], 'lmfdb_label': '109520.u1', 'torsion': [4]}
  • id: 5047031
    {'degree': 8, 'field': [-16428, 0, 5476, 0, -444, 0, 0, 0, 1], 'lmfdb_label': '109520.u1', 'torsion': [6]}
  • id: 5047029
    {'degree': 8, 'field': [256, 0, -928, 0, 688, 0, -58, 0, 1], 'lmfdb_label': '109520.u1', 'torsion': [2, 4]}
  • id: 5047030
    {'degree': 8, 'field': [53824, 0, -11520, 0, 976, 0, -32, 0, 1], 'lmfdb_label': '109520.u1', 'torsion': [2, 4]}
  • id: 5047033
    {'degree': 16, 'field': [16807, -4310824, 5905970, 3134516, 4482512, -5068496, 627036, 56380, 14652, 46784, -24142, -1208, 2250, -16, -72, 0, 1], 'lmfdb_label': '109520.u1', 'torsion': [2, 6]}
  • id: 5047032
    {'degree': 16, 'field': [2238016, 0, -15604584, 0, 11349022, 0, -2076497, 0, 369605, 0, -42148, 0, 2082, 0, -61, 0, 1], 'lmfdb_label': '109520.u1', '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: 2692315
    {'conductor': 109520, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '109520.u1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2692316
    {'conductor': 109520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '109520.u1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2692317
    {'conductor': 109520, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '109520.u1', 'prime': 37, '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: 2381728
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 739, 0], [297, 4, 594, 9], [1044, 1, 479, 0], [1297, 186, 184, 1295], [1477, 4, 1476, 5]], 'adelic_image': '1480.12.0.?', 'conductor': 109520, 'lmfdb_label': '109520.u1', 'prime': 0}
  • id: 435326
    {'conductor': 109520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '109520.u1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 109520.u does not appear in ec_padic