Elliptic curve data - 257400.ej2

Formats: - HTML - YAML - JSON - 2022-08-07T18:55:58.589353

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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': '257400ej', 'Clabel': '257400ej3', 'Cnumber': 3, 'absD': 1907869586441855493600000000, 'ainvs': [0, 0, 0, -393042675, -2139843199250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 257400, 'degree': 132120576, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9413712344629012654678618471', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 113, 'isogeny_degrees': [1, 2, 4], 'jinv': [287849398425814280018, 81784533026485575], 'lmfdb_iso': '257400.ej', 'lmfdb_label': '257400.ej2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1746856, 634609900], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '70.170045120995099697463299109', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9519612183985130321707301174', 'prec': 100}, '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, 0, 0, 0, 0, 4, 0, 0, 0, 1, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 0, 4, 1, -1, -2, 4, -4, -6, 0, -10, 10, -4, 0, 10, 12, -2, -8, 8, 2, -16, -12, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 257400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '257400.ej', 'trace_hash': 873501185236844889}
• 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': '0.00037719718544940330946422813728', 'prec': 113}, 'conductor': 257400, 'gens': [[11168402483107424434645141499670, 27710697273365746957950533887213822479455031950, 18678489462983]], 'heights': [{'__RealLiteral__': 0, 'data': '70.170045120995099697463299109', 'prec': 100}], 'lmfdb_label': '257400.ej2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.034639062907678743995492908685', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.7224984287232207265940391327280160743', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[22130, 0, 1]], 'xcoord_integral_points': [22130]}
• lmfdb_label 257400.ej2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11047148
    {'degree': 2, 'field': [-330, 0, 1], 'lmfdb_label': '257400.ej2', 'torsion': [4]}
  • id: 11047147
    {'degree': 2, 'field': [-286, 0, 1], 'lmfdb_label': '257400.ej2', 'torsion': [2, 2]}
  • id: 11047149
    {'degree': 2, 'field': [-195, 0, 1], 'lmfdb_label': '257400.ej2', 'torsion': [4]}
  • id: 11047150
    {'degree': 4, 'field': [121, 0, -308, 0, 1], 'lmfdb_label': '257400.ej2', 'torsion': [2, 4]}
  • id: 11047154
    {'degree': 8, 'field': [-297675, 0, 1080, 0, 1890, 0, 0, 0, 1], 'lmfdb_label': '257400.ej2', 'torsion': [6]}
  • id: 11047153
    {'degree': 8, 'field': [221976, -28056, -19124, 3016, 1058, -182, -1, -2, 1], 'lmfdb_label': '257400.ej2', 'torsion': [8]}
  • id: 11047152
    {'degree': 8, 'field': [4673791, 1456228, -1381114, -149696, 73519, 1592, -526, -4, 1], 'lmfdb_label': '257400.ej2', 'torsion': [8]}
  • id: 11047151
    {'degree': 8, 'field': [64338745, -6483460, 6477274, 12176, -5597, -592, 202, -4, 1], 'lmfdb_label': '257400.ej2', 'torsion': [2, 4]}
  • id: 11047157
    {'degree': 16, 'field': [6197929, -80896632, 263856272, -209995192, -245945440, 315942648, 59191112, -119723088, 4087057, 16054776, -2045492, -624392, 94662, 4312, -596, -8, 1], 'lmfdb_label': '257400.ej2', 'torsion': [2, 8]}
  • id: 11047156
    {'degree': 16, 'field': [505009367424, -603523768320, 184482659904, -23416254912, 15400946896, 22313792, -216216064, 75807552, -13028720, -1965584, 232660, 15388, 1297, 168, -82, -4, 1], 'lmfdb_label': '257400.ej2', 'torsion': [2, 8]}
  • id: 11047155
    {'degree': 16, 'field': [587999209203025, 0, 50197360962140, 0, 2084357840086, 0, 31338086432, 0, 6684199, 0, -5446744, 0, 76354, 0, -388, 0, 1], 'lmfdb_label': '257400.ej2', 'torsion': [4, 4]}
  • id: 11047159
    {'degree': 16, 'field': [1682677482284304, 0, -206898011567808, 0, 10061466342400, 0, -248578549296, 0, 3505229640, 0, -31732184, 0, 188628, 0, -660, 0, 1], 'lmfdb_label': '257400.ej2', 'torsion': [12]}
  • id: 11047160
    {'degree': 16, 'field': [8639045394643780, -2639712453708440, 178445491472520, 28829947150040, -3839367762220, 2057463000, -2324840264, 2072203552, 189388620, -25029740, -912872, -177912, 33188, 2660, -360, -8, 1], 'lmfdb_label': '257400.ej2', 'torsion': [12]}
  • id: 11047158
    {'degree': 16, 'field': [12630996010391616, 0, -4824609172935552, 0, 91379177480448, 0, -460271326944, 0, -6811970880, 0, -29676504, 0, 153868, 0, -572, 0, 1], 'lmfdb_label': '257400.ej2', '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: 6381548
    {'conductor': 257400, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '257400.ej2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6381549
    {'conductor': 257400, 'conductor_valuation': 2, 'discriminant_valuation': 34, 'j_denominator_valuation': 28, 'kodaira_symbol': -32, 'lmfdb_label': '257400.ej2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6381550
    {'conductor': 257400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '257400.ej2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6381551
    {'conductor': 257400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '257400.ej2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6381552
    {'conductor': 257400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '257400.ej2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'conductor': 257400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '257400.ej2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 257400.ej does not appear in ec_padic