Elliptic curve data - 294438.f1

Formats: - HTML - YAML - JSON - 2026-05-30T10:17:11.818351

• 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': '294438f', 'Clabel': '294438f1', 'Cnumber': 1, 'abc_quality': 0.8266898997759816, 'absD': 588876, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 588876, 'ainvs': [1, 1, 1, -46, 95], 'analytic_rank': 0, 'bad_primes': [2, 3, 31, 1583], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 294438, 'degree': 51840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.13706255521863294183958802234', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [10779215329, 588876], 'lmfdb_iso': '294438.f', 'lmfdb_label': '294438.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -46, 95], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['588876.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 147219], [3, 4, 98146], [31, 32, 9498], [1583, 1584, 186]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13706255521863294183958802234', 'prec': 107}, 'szpiro_ratio': 1.8344484207011886, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 1, -1, -1, 3, 1, 1, -1, 2, -1, 2, 3, 1, 1, 3, 1, 5, -1], 'aplist': [1, -1, -1, 3, 2, 2, 3, 5, 4, -10, 1, -2, 12, 2, 0, -5, 14, 14, 10, -13, 2, 0, 6, -12, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 294438, 'isogeny_matrix': [[1]], 'lmfdb_iso': '294438.f', 'trace_hash': 1065404187938498306}
• 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': '1.3153793596314401827972628911', 'prec': 100}, 'conductor': 294438, 'gens': [], 'heights': [], 'lmfdb_label': '294438.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.8607148748723172275083078679', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7214297497446344550166157358875681759', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 294438.f1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12482240
    {'degree': 3, 'field': [-604, -198, 0, 1], 'lmfdb_label': '294438.f1', 'torsion': [2]}
  • id: 12482241
    {'degree': 6, 'field': [-9392, 80488, 16526, -5342, -793, -2, 1], 'lmfdb_label': '294438.f1', 'torsion': [2, 2]}
  • id: 12482242
    {'degree': 8, 'field': [-54148, -11936, 11108, 1655, -824, -7, 7, -4, 1], 'lmfdb_label': '294438.f1', 'torsion': [3]}
  • id: 12482243
    {'degree': 12, 'field': [3814050816, -4438661824, 1507657956, -11092344, -81264484, 10794916, 907013, -294516, 17207, 2092, -277, -4, 1], 'lmfdb_label': '294438.f1', 'torsion': [4]}
• 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: 7292691
    {'conductor': 294438, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '294438.f1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7292692
    {'conductor': 294438, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '294438.f1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7292693
    {'conductor': 294438, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '294438.f1', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7292694
    {'conductor': 294438, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '294438.f1', 'prime': 1583, '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

  
  {'adelic_gens': [[588875, 2, 588874, 3], [1, 0, 2, 1], [1, 2, 0, 1], [291277, 2, 291277, 3], [246949, 2, 246949, 3], [294439, 2, 294439, 3], [1, 1, 588875, 0], [392585, 2, 392585, 3]], 'adelic_image': '588876.2.0.?', 'conductor': 294438, 'lmfdb_label': '294438.f1', 'prime': 0}
• lmfdb_iso 294438.f does not appear in ec_padic