Elliptic curve data - 6450.e2

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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': '6450a', 'Clabel': '6450a1', 'Cnumber': 1, 'abc_quality': 0.9966384920336764, 'absD': 24074496000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 18060, 'ainvs': [1, 1, 0, 3975, 217125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 6450, 'degree': 23520, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2506858793479329061960173057', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 7], 'jinv': [444369620591, 1540767744], 'lmfdb_iso': '6450.e', 'lmfdb_label': '6450.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 159, 1737], 'min_quad_twist_disc': 5, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '35.48.0-7.a.1.1', '516.2.0.?', '3612.48.2.?', '18060.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8627406810194450103420692111', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3225], [3, 4, 2150], [5, 14, 258], [7, 2, 1075], [43, 44, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44596692313088271889563763909', 'prec': 103}, 'szpiro_ratio': 4.341655700791879, '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, 0, 1, -1, -1, 1, 0, 5, -1, 7, 1, 0, 1, -4, -1, -1, 0], 'aplist': [-1, -1, 0, -1, 5, 7, -4, -1, 4, -5, -10, -10, 0, -1, 1, -12, 4, -8, 2, -12, -4, 10, 7, 6, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 6450, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '6450.e', 'trace_hash': 518936887582930968}
• 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': '0.081972475008505127592602950851', 'prec': 107}, 'conductor': 6450, 'gens': [[146, 1911, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8627406810194450103420692111', 'prec': 100}], 'lmfdb_label': '6450.e2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.47766175005924942217616266777', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7348434473231112377187148022407321377', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [146]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6450.e2'}
• ec_torsion_growth •

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

  
  
  • id: 337365
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '6450.e2', 'torsion': [7]}
  • id: 337366
    {'degree': 3, 'field': [-9, 1, -1, 1], 'lmfdb_label': '6450.e2', 'torsion': [2]}
  • id: 337368
    {'degree': 6, 'field': [59, 77, -4, 19, -2, -1, 1], 'lmfdb_label': '6450.e2', 'torsion': [14]}
  • id: 337367
    {'degree': 6, 'field': [144, 72, 114, 18, 7, -2, 1], 'lmfdb_label': '6450.e2', 'torsion': [2, 2]}
  • id: 337369
    {'degree': 8, 'field': [27264, -10848, -2320, -1296, 1032, -16, -48, 0, 1], 'lmfdb_label': '6450.e2', 'torsion': [3]}
  • id: 337370
    {'degree': 12, 'field': [-54576, 40352, 8540, 10168, -23886, 13728, -5901, 1679, -298, 61, 8, -1, 1], 'lmfdb_label': '6450.e2', 'torsion': [4]}
  • id: 337371
    {'degree': 12, 'field': [356089, 19430, -13603, -12678, 8958, -3314, 1409, -302, 134, -50, 21, -6, 1], 'lmfdb_label': '6450.e2', 'torsion': [2, 14]}
  • id: 337372
    {'degree': 16, 'field': [20164, 0, 35675, 0, 418, 0, -20595, 0, 3795, 0, -255, 0, -29, 0, -10, 0, 1], 'lmfdb_label': '6450.e2', 'torsion': [21]}
• 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: 129898
    {'conductor': 6450, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '6450.e2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 129899
    {'conductor': 6450, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '6450.e2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 129900
    {'conductor': 6450, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6450.e2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 129901
    {'conductor': 6450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6450.e2', 'prime': 43, '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: 1706441
    {'adelic_gens': [[12041, 10850, 8435, 3711], [9031, 10850, 5425, 3711], [1, 14, 0, 1], [18047, 14, 18046, 15], [9031, 10850, 0, 1291], [7223, 0, 0, 18059], [1, 0, 14, 1], [8, 5, 91, 57], [7141, 10850, 10255, 3711]], 'adelic_image': '18060.96.2.?', 'conductor': 6450, 'lmfdb_label': '6450.e2', 'prime': 0}
  • id: 31867
    {'conductor': 6450, 'elladic_image': '7.24.0.1', 'lmfdb_label': '6450.e2', 'modell_image': '7B.6.1', 'prime': 7}
• ec_padic •

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

  
  
  • id: 254750
    {'lmfdb_iso': '6450.e', 'p': 7, 'prec': 20, 'unit': 10272464587380999, 'val': 1}
  • id: 254752
    {'lmfdb_iso': '6450.e', 'p': 11, 'prec': 20, 'unit': 58739327866863355392, 'val': 1}
  • id: 254754
    {'lmfdb_iso': '6450.e', 'p': 13, 'prec': 20, 'unit': 941319717218266135832, 'val': 1}
  • id: 254756
    {'lmfdb_iso': '6450.e', 'p': 17, 'prec': 20, 'unit': 39686838136740719543344, 'val': 1}
  • id: 254757
    {'lmfdb_iso': '6450.e', 'p': 19, 'prec': 20, 'unit': 267008053340318491092255, 'val': 1}
  • id: 254760
    {'lmfdb_iso': '6450.e', 'p': 23, 'prec': 20, 'unit': 50913378889219230223922292, 'val': 1}
  • id: 254753
    {'lmfdb_iso': '6450.e', 'p': 29, 'prec': 20, 'unit': 2332368540618633186676302473, 'val': 1}
  • id: 254765
    {'lmfdb_iso': '6450.e', 'p': 31, 'prec': 20, 'unit': 1992835468912112911674412266, 'val': 1}
  • id: 254749
    {'lmfdb_iso': '6450.e', 'p': 37, 'prec': 20, 'unit': 279444872321033264369077331114, 'val': 1}
  • id: 254763
    {'lmfdb_iso': '6450.e', 'p': 47, 'prec': 20, 'unit': 846052497140222354391104101034197, 'val': -1}
  • id: 254758
    {'lmfdb_iso': '6450.e', 'p': 53, 'prec': 20, 'unit': 213994522241084871031451102284958, 'val': 1}
  • id: 254759
    {'lmfdb_iso': '6450.e', 'p': 59, 'prec': 20, 'unit': 2129212197987684539469572745990017, 'val': 1}
  • id: 254764
    {'lmfdb_iso': '6450.e', 'p': 61, 'prec': 20, 'unit': 4517909443659465071526662847259635, 'val': 1}
  • id: 254748
    {'lmfdb_iso': '6450.e', 'p': 67, 'prec': 20, 'unit': 11176193579112309252140173320890560, 'val': 1}
  • id: 254762
    {'lmfdb_iso': '6450.e', 'p': 71, 'prec': 20, 'unit': 91569656980252407545122165054385036, 'val': 1}
  • id: 254751
    {'lmfdb_iso': '6450.e', 'p': 73, 'prec': 20, 'unit': 163683244047461654052561280883335761, 'val': 1}
  • id: 254755
    {'lmfdb_iso': '6450.e', 'p': 79, 'prec': 20, 'unit': 442534331648690211555985282000466062, 'val': 1}
  • id: 254747
    {'lmfdb_iso': '6450.e', 'p': 83, 'prec': 20, 'unit': 753635400117506291851462421950930016, 'val': 1}
  • id: 254761
    {'lmfdb_iso': '6450.e', 'p': 89, 'prec': 20, 'unit': 988373339386801930333375678394550237, 'val': 1}
  • id: 254746
    {'lmfdb_iso': '6450.e', 'p': 97, 'prec': 20, 'unit': 4109972065944987550414712718614565330, 'val': 1}