Elliptic curve data - 25410.bl4

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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
  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': '25410bj', 'Clabel': '25410bj4', 'Cnumber': 4, 'abc_quality': 1.0358020223701003, 'absD': 213527697884146800, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 36960, 'ainvs': [1, 0, 1, -1823473, -947648044], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 25410, 'degree': 655360, 'elladic_images': ['16.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3002298727348030095667779149', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [378499465220294881, 120530818800], 'lmfdb_iso': '25410.bl', 'lmfdb_label': '25410.bl4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -15070, 710612], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0.v.1', '28.12.0.h.1', '44.12.0-4.c.1.2', '56.48.0.bl.2', '80.96.2.?', '88.48.0.?', '96.96.1.?', '112.96.1.?', '176.96.0.?', '308.24.0.?', '480.192.5.?', '560.192.5.?', '616.96.0.?', '672.192.5.?', '880.192.2.?', '1056.192.1.?', '1232.192.1.?', '3360.384.13.?', '5280.384.5.?', '6160.384.5.?', '7392.384.5.?', '36960.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3011657150646845878496128928', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 847], [3, 4, 8470], [5, 6, 5082], [7, 8, 3630], [11, 62, 210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1012822363356177375358061259', 'prec': 100}, 'szpiro_ratio': 5.4089435069647696, '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, 1, -1, 1, -1, 0, 1, 2, -1, 1, 1, -2, -1, -4, 1], 'aplist': [-1, 1, 1, 1, 0, 2, -2, -4, -8, 2, 0, 6, 6, 4, 0, -10, 12, -14, -12, -8, -10, -16, 12, 10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 25410, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '25410.bl', 'trace_hash': 25842441850371399}
• 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': '0.010047215520833622617616766072', 'prec': 107}, 'conductor': 25410, 'gens': [[-770, 587, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3011657150646845878496128928', 'prec': 100}], 'lmfdb_label': '25410.bl4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12992210503025293026493858852', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4096060382207394705747195760299897645', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-3161, 3157, 2]], 'xcoord_integral_points': [-770, 1660, 13972]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1], '3': [2, 0], '5': [2, 0], '7': [2, 0], '11': 'a', '13': [3, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '25410.bl4'}
• ec_torsion_growth •

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

  
  
  • id: 1280542
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '25410.bl4', 'torsion': [2, 2]}
  • id: 1280544
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '25410.bl4', 'torsion': [8]}
  • id: 1280543
    {'degree': 2, 'field': [77, 0, 1], 'lmfdb_label': '25410.bl4', 'torsion': [4]}
  • id: 1280545
    {'degree': 4, 'field': [93, 8, -7, -2, 1], 'lmfdb_label': '25410.bl4', 'torsion': [2, 8]}
  • id: 1280546
    {'degree': 4, 'field': [159, 14, -13, -2, 1], 'lmfdb_label': '25410.bl4', 'torsion': [16]}
  • id: 1280547
    {'degree': 4, 'field': [5259, 134, -133, -2, 1], 'lmfdb_label': '25410.bl4', 'torsion': [16]}
  • id: 1280551
    {'degree': 8, 'field': [-69376, 78248, -30373, 6246, -1389, 192, 1, -2, 1], 'lmfdb_label': '25410.bl4', 'torsion': [6]}
  • id: 1280550
    {'degree': 8, 'field': [13689, -6552, 7542, -1924, 823, 164, -50, -4, 1], 'lmfdb_label': '25410.bl4', 'torsion': [2, 16]}
  • id: 1280548
    {'degree': 8, 'field': [16801, 25900, 332, -280, -267, -140, -18, 0, 1], 'lmfdb_label': '25410.bl4', 'torsion': [2, 4]}
  • id: 1280549
    {'degree': 8, 'field': [674041, 0, 87076, 0, 2126, 0, -44, 0, 1], 'lmfdb_label': '25410.bl4', 'torsion': [8]}
  • id: 1280553
    {'degree': 16, 'field': [1, 0, 15060, 0, 21906, 0, 10596, 0, 4723, 0, 1356, 0, 234, 0, 24, 0, 1], 'lmfdb_label': '25410.bl4', 'torsion': [2, 16]}
  • id: 1280558
    {'degree': 16, 'field': [1175056, 0, 541723, 0, 70066, 0, 198301, 0, 47251, 0, 529, 0, 151, 0, 22, 0, 1], 'lmfdb_label': '25410.bl4', 'torsion': [24]}
  • id: 1280552
    {'degree': 16, 'field': [869129361, 0, -286521080, 0, 20639866, 0, 2535140, 0, 321611, 0, -4540, 0, -514, 0, -20, 0, 1], 'lmfdb_label': '25410.bl4', 'torsion': [4, 8]}
  • id: 1280556
    {'degree': 16, 'field': [1057276368, 1948368384, -2664575280, -5113274400, 2009184480, -362948928, 55414272, 2480760, -1225888, 267880, -83284, 9108, -2439, 576, -50, -4, 1], 'lmfdb_label': '25410.bl4', 'torsion': [2, 6]}
  • id: 1280557
    {'degree': 16, 'field': [12155062500, 0, 11859868125, 0, 1720098450, 0, 144481547, 0, 9317987, 0, 402983, 0, 10339, 0, 154, 0, 1], 'lmfdb_label': '25410.bl4', 'torsion': [12]}
  • id: 1280554
    {'degree': 16, 'field': [53604965511, 19453842144, -17230842612, -4347241272, 1933081776, 271176984, -62245640, -22214696, 3226869, 1455848, -197740, -48528, 6086, 896, -108, -8, 1], 'lmfdb_label': '25410.bl4', 'torsion': [32]}
  • id: 1280555
    {'degree': 16, 'field': [278094708366561, 35092709555544, -33070108653012, -3979390170672, 1826474776126, 192216096184, -58040349640, -5072853096, 1147640719, 79020248, -14450240, -728728, 113386, 3696, -508, -8, 1], 'lmfdb_label': '25410.bl4', 'torsion': [32]}
• 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: 584686
    {'conductor': 25410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '25410.bl4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 584687
    {'conductor': 25410, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '25410.bl4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 584688
    {'conductor': 25410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '25410.bl4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 584689
    {'conductor': 25410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25410.bl4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 584690
    {'conductor': 25410, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '25410.bl4', 'prime': 11, '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: 1833757
    {'adelic_gens': [[23, 18, 34398, 34955], [1, 0, 32, 1], [1, 32, 0, 1], [5, 28, 68, 381], [30482, 16819, 11055, 12398], [18921, 30272, 1804, 29789], [24641, 30272, 21296, 3873], [36929, 32, 36928, 33], [6719, 0, 0, 36959], [29591, 26906, 5478, 34475], [7712, 10109, 34507, 26082]], 'adelic_image': '36960.768.13.?', 'conductor': 25410, 'lmfdb_label': '25410.bl4', 'prime': 0}
  • id: 115921
    {'conductor': 25410, 'elladic_image': '16.48.0.96', 'lmfdb_label': '25410.bl4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1210786
    {'lmfdb_iso': '25410.bl', 'p': 13, 'prec': 20, 'unit': 16335721098367670658, 'val': 2}
  • id: 1210788
    {'lmfdb_iso': '25410.bl', 'p': 17, 'prec': 20, 'unit': 110667867362161858305389, 'val': 1}
  • id: 1210778
    {'lmfdb_iso': '25410.bl', 'p': 19, 'prec': 20, 'unit': 98045804070986619735224, 'val': 2}
  • id: 1210792
    {'lmfdb_iso': '25410.bl', 'p': 23, 'prec': 20, 'unit': 29276717066989743544184042, 'val': 1}
  • id: 1210785
    {'lmfdb_iso': '25410.bl', 'p': 29, 'prec': 20, 'unit': 58162833368454079912343062, 'val': 1}
  • id: 1210781
    {'lmfdb_iso': '25410.bl', 'p': 37, 'prec': 20, 'unit': 36266702733721747803190713027, 'val': 1}
  • id: 1210783
    {'lmfdb_iso': '25410.bl', 'p': 41, 'prec': 20, 'unit': 1438160875265419845579651625374, 'val': 1}
  • id: 1210784
    {'lmfdb_iso': '25410.bl', 'p': 43, 'prec': 20, 'unit': 1271031653543789212184280112850, 'val': 1}
  • id: 1210790
    {'lmfdb_iso': '25410.bl', 'p': 53, 'prec': 20, 'unit': 427313034721330038980192963101778, 'val': 1}
  • id: 1210794
    {'lmfdb_iso': '25410.bl', 'p': 59, 'prec': 20, 'unit': 3972788069852577258317505672102771, 'val': 1}
  • id: 1210795
    {'lmfdb_iso': '25410.bl', 'p': 61, 'prec': 20, 'unit': 3666938949182252080618334820016255, 'val': 1}
  • id: 1210780
    {'lmfdb_iso': '25410.bl', 'p': 67, 'prec': 20, 'unit': 14550293758107876559843170579557505, 'val': 1}
  • id: 1210782
    {'lmfdb_iso': '25410.bl', 'p': 71, 'prec': 20, 'unit': 73146019816072516588408357355432363, 'val': 1}
  • id: 1210791
    {'lmfdb_iso': '25410.bl', 'p': 73, 'prec': 20, 'unit': 92596860926204855694765256640772399, 'val': 1}
  • id: 1210787
    {'lmfdb_iso': '25410.bl', 'p': 79, 'prec': 20, 'unit': 790819401313980860364643594947610424, 'val': 1}
  • id: 1210789
    {'lmfdb_iso': '25410.bl', 'p': 83, 'prec': 20, 'unit': 531979587999552132177200282491206985, 'val': 1}
  • id: 1210793
    {'lmfdb_iso': '25410.bl', 'p': 89, 'prec': 20, 'unit': 4451113962678792606488694831895509703, 'val': 1}
  • id: 1210779
    {'lmfdb_iso': '25410.bl', 'p': 97, 'prec': 20, 'unit': 43752456177105553878027290519750370408, 'val': 1}