Elliptic curve isogeny class data - 21294.k

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• 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, 0, 1, -2, 0, 1, -1, 0, 2, -4, 0, 0, -1, 0, 1, 2, 0, 4, -2], 'aplist': [-1, 0, -2, 1, -4, 0, 2, 4, 4, 2, 0, 2, 2, 4, -12, -6, 0, -10, -4, -8, 6, 8, 8, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 21294, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '21294.k', 'trace_hash': 2242728059472622168}
• ec_padic •

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

  
  
  • id: 997525
    {'lmfdb_iso': '21294.k', 'p': 5, 'prec': 20, 'unit': 3426806860454, 'val': 2}
  • id: 997531
    {'lmfdb_iso': '21294.k', 'p': 11, 'prec': 20, 'unit': 59679197900149212989, 'val': 1}
  • id: 997532
    {'lmfdb_iso': '21294.k', 'p': 17, 'prec': 20, 'unit': 124545000071808920144374, 'val': 1}
  • id: 997533
    {'lmfdb_iso': '21294.k', 'p': 19, 'prec': 20, 'unit': 1586550553872843928219852, 'val': 1}
  • id: 997536
    {'lmfdb_iso': '21294.k', 'p': 23, 'prec': 20, 'unit': 59682306200990747868644491, 'val': 1}
  • id: 997529
    {'lmfdb_iso': '21294.k', 'p': 29, 'prec': 20, 'unit': 4602531872827320496472343687, 'val': 1}
  • id: 997540
    {'lmfdb_iso': '21294.k', 'p': 37, 'prec': 20, 'unit': 486466457943333764876093199390, 'val': 1}
  • id: 997527
    {'lmfdb_iso': '21294.k', 'p': 41, 'prec': 20, 'unit': 3339979699822945043417724927241, 'val': 1}
  • id: 997528
    {'lmfdb_iso': '21294.k', 'p': 43, 'prec': 20, 'unit': 8700286666328141610946199729103, 'val': 1}
  • id: 997530
    {'lmfdb_iso': '21294.k', 'p': 47, 'prec': 20, 'unit': 46390961535280871552153280888354, 'val': 1}
  • id: 997534
    {'lmfdb_iso': '21294.k', 'p': 53, 'prec': 20, 'unit': 10423712355915805383192038508740, 'val': 2}
  • id: 997539
    {'lmfdb_iso': '21294.k', 'p': 61, 'prec': 20, 'unit': 3603374815445714590635262023091965, 'val': 1}
  • id: 997524
    {'lmfdb_iso': '21294.k', 'p': 67, 'prec': 20, 'unit': 49041983702113996097791278919273567, 'val': 1}
  • id: 997526
    {'lmfdb_iso': '21294.k', 'p': 71, 'prec': 20, 'unit': 62107362527370745304149670097334163, 'val': 1}
  • id: 997535
    {'lmfdb_iso': '21294.k', 'p': 73, 'prec': 20, 'unit': 160042025471393075021267059370468904, 'val': 1}
  • id: 997538
    {'lmfdb_iso': '21294.k', 'p': 79, 'prec': 20, 'unit': 848156687150631039180965456168109066, 'val': 1}
  • id: 997523
    {'lmfdb_iso': '21294.k', 'p': 83, 'prec': 20, 'unit': 1216188476331275497067272427195248630, 'val': 1}
  • id: 997537
    {'lmfdb_iso': '21294.k', 'p': 89, 'prec': 20, 'unit': 6590337731671508211634976828607224100, 'val': 1}
  • id: 997522
    {'lmfdb_iso': '21294.k', 'p': 97, 'prec': 20, 'unit': 7680021224698659336750919899868091543, 'val': 1}
• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 141283
    {'Ciso': '21294bi', 'Clabel': '21294bi4', 'Cnumber': 4, 'abc_quality': 0.9834700067632124, 'absD': 680681711924614764, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [1, -1, 0, -2975868, -1974774060], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21294, 'degree': 516096, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4124241558765791627455253957', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [828279937799497, 193444524], 'lmfdb_iso': '21294.k', 'lmfdb_label': '21294.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1957, 33140], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '56.12.0-4.c.1.3', '84.12.0.?', '104.12.0.?', '156.12.0.?', '168.24.0.?', '312.24.0.?', '364.12.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8441339719608070483528034440', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58064333281175594902115905646', 'prec': 103}, 'szpiro_ratio': 5.652289910885315, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 141281
    {'Ciso': '21294bi', 'Clabel': '21294bi2', 'Cnumber': 2, 'abc_quality': 0.9475546814672546, 'absD': 339873996077585424, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1092, 'ainvs': [1, -1, 0, -207648, -23178960], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21294, 'degree': 258048, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0658505655966065080369093350', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [281397674377, 96589584], 'lmfdb_iso': '21294.k', 'lmfdb_label': '21294.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -137, 380], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0-2.a.1.2', '52.12.0-2.a.1.1', '84.24.0.?', '156.24.0.?', '364.24.0.?', '1092.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4220669859804035241764017220', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23406974253178329431254299575', 'prec': 103}, 'szpiro_ratio': 4.85084571794598, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 141280
    {'Ciso': '21294bi', 'Clabel': '21294bi1', 'Cnumber': 1, 'abc_quality': 0.9108369864904062, 'absD': 2213261675718912, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [1, -1, 0, -85968, 9455616], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21294, 'degree': 129024, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7192769753166338533282932742', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [19968681097, 628992], 'lmfdb_iso': '21294.k', 'lmfdb_label': '21294.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -57, -164], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '52.12.0-4.c.1.2', '56.12.0-4.c.1.3', '84.12.0.?', '168.24.0.?', '312.24.0.?', '546.6.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], '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': '1.7110334929902017620882008610', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11250384774818936039607306505', 'prec': 107}, 'szpiro_ratio': 4.585387577107661, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 141282
    {'Ciso': '21294bi', 'Clabel': '21294bi3', 'Cnumber': 3, 'abc_quality': 0.9784540961102451, 'absD': 26060153347393378668, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [1, -1, 0, 613692, -161656884], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 21294, 'degree': 516096, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4124241558765791627455253957', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [7264187703863, 7406095788], 'lmfdb_iso': '21294.k', 'lmfdb_label': '21294.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 403, 2756], 'min_quad_twist_disc': -39, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '12.12.0.g.1', '52.12.0-4.c.1.1', '56.12.0-4.c.1.3', '156.24.0.?', '168.24.0.?', '728.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7110334929902017620882008610', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58064333281175594902115905646', 'prec': 103}, 'szpiro_ratio': 5.1770431855023356, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}