Elliptic curve data - 295845.f3

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• 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': '295845f', 'Clabel': '295845f1', 'Cnumber': 1, 'abc_quality': 0.9086459166568104, 'absD': 43856099780625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 215160, 'ainvs': [1, 0, 0, -100856, 12315711], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 163], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 295845, 'degree': 1228800, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5830464161262360729843174017', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [64043209720729, 24755625], 'lmfdb_iso': '295845.f', 'lmfdb_label': '295845.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -834, -9329], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '132.12.0.?', '440.12.0.?', '978.6.0.?', '1320.24.0.?', '1956.12.0.?', '6520.12.0.?', '7172.12.0.?', '19560.24.0.?', '21516.24.0.?', '71720.24.0.?', '215160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.93436386650901063671004468392', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 59169], [3, 4, 98615], [5, 6, 19723], [11, 62, 2445], [163, 164, 1815]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38409877972705080095334561272', 'prec': 103}, 'szpiro_ratio': 3.665617573437359, '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, 1, -1, -1, -1, 0, 3, 1, 1, 0, -1, -2, 0, -1, -1, 2, -1, 0, 1], 'aplist': [-1, 1, -1, 0, 0, -2, 2, 0, 8, -10, 4, 10, -2, 4, 12, 2, 4, 2, -4, 0, 10, 12, 0, -2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 295845, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '295845.f', 'trace_hash': 850927715405702492}
• 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': '0.042168034037043316671108165319', 'prec': 107}, 'conductor': 295845, 'gens': [[175, 94, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.93436386650901063671004468392', 'prec': 103}], 'lmfdb_label': '295845.f3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.62959195924484254152212254807', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.8826797736299452170061775401736680575', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[186, -93, 1]], 'xcoord_integral_points': [-89, 175, 186, 250]}
• lmfdb_label 295845.f3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12534213
    {'degree': 2, 'field': [-448, -1, 1], 'lmfdb_label': '295845.f3', 'torsion': [4]}
  • id: 12534211
    {'degree': 2, 'field': [-122, -1, 1], 'lmfdb_label': '295845.f3', 'torsion': [2, 2]}
  • id: 12534212
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '295845.f3', 'torsion': [4]}
  • id: 12534214
    {'degree': 4, 'field': [12996, 0, -261, 0, 1], 'lmfdb_label': '295845.f3', 'torsion': [2, 4]}
  • id: 12534216
    {'degree': 8, 'field': [-4451, 11332, 8083, -10010, 1828, 376, -101, -2, 1], 'lmfdb_label': '295845.f3', 'torsion': [8]}
  • id: 12534218
    {'degree': 8, 'field': [5054811, -12849369, -1032771, 147704, 40165, -1081, -281, -4, 1], 'lmfdb_label': '295845.f3', 'torsion': [6]}
  • id: 12534217
    {'degree': 8, 'field': [15718976, 7682904, 1886813, 228970, 27866, 1730, 342, -2, 1], 'lmfdb_label': '295845.f3', 'torsion': [8]}
  • id: 12534215
    {'degree': 8, 'field': [36636424, -767008, -390266, 119882, 4693, -106, 40, -4, 1], 'lmfdb_label': '295845.f3', 'torsion': [2, 4]}
  • id: 12534224
    {'degree': 16, 'field': [-66335847059225, 98710055939375, -43719128777775, 10319052322340, -2337741129230, 629115233055, -120771428694, 12514010466, -594621399, 21492774, -4315206, 40488, -71516, -5956, 231, -4, 1], 'lmfdb_label': '295845.f3', 'torsion': [12]}
  • id: 12534223
    {'degree': 16, 'field': [7535025, 0, -25855308, 0, 12788640, 0, -3222531, 0, 402012, 0, -32385, 0, 1845, 0, -66, 0, 1], 'lmfdb_label': '295845.f3', 'torsion': [12]}
  • id: 12534221
    {'degree': 16, 'field': [8703237184, -14346118144, -40306916448, -1274696240, 15107622557, 328233204, -1932372608, -23601088, 112446900, 1477964, -3307706, -53964, 49856, 832, -360, -4, 1], 'lmfdb_label': '295845.f3', 'torsion': [2, 8]}
  • id: 12534219
    {'degree': 16, 'field': [1791443048704, 0, 286110649088, 0, 18998261380, 0, 461063264, 0, 1668265, 0, 40160, 0, 6226, 0, -64, 0, 1], 'lmfdb_label': '295845.f3', 'torsion': [4, 4]}
  • id: 12534220
    {'degree': 16, 'field': [58113392200704, 53475563443968, 26733436281792, 8971986658656, 2211736109632, 418884382584, 63122272368, 7732613738, 782330429, 66702848, 5001671, 370322, 27882, 2646, 137, -2, 1], 'lmfdb_label': '295845.f3', 'torsion': [2, 8]}
  • id: 12534222
    {'degree': 16, 'field': [923668414278399, -796325293437660, -763804179758151, -168634119588153, 4412049189796, 7136872775667, 1121197598634, 48974252886, -6806685117, -1035980556, -24293990, 4459671, 281976, -5697, -771, -6, 1], 'lmfdb_label': '295845.f3', '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: 7326472
    {'conductor': 295845, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '295845.f3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 7326473
    {'conductor': 295845, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '295845.f3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7326474
    {'conductor': 295845, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '295845.f3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7326475
    {'conductor': 295845, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '295845.f3', 'prime': 163, '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: 3525832
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [132364, 97801, 140063, 58686], [1, 4, 4, 17], [7, 6, 215154, 215155], [110848, 78243, 130405, 97802], [97799, 0, 0, 215159], [215153, 8, 215152, 9], [105139, 105138, 61138, 207835], [129097, 136928, 46948, 117393], [158929, 158928, 168718, 100255]], 'adelic_image': '215160.48.0.?', 'conductor': 295845, 'lmfdb_label': '295845.f3', 'prime': 0}
  • id: 1045092
    {'conductor': 295845, 'elladic_image': '4.6.0.1', 'lmfdb_label': '295845.f3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 295845.f does not appear in ec_padic