Elliptic curve isogeny class data - 315.a

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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, -1, 0, 1, 3, 0, 1, 0, 0, -6, -1, 0, -1, -2, 0, -8, 1], 'aplist': [-1, 0, -1, 1, 0, -6, -2, -8, -8, 2, 4, -2, 6, 4, -8, -10, -4, -2, 4, 12, -2, 8, 4, 6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 315, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '315.a', 'trace_hash': 1279478226797432480}
• ec_padic •

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

  
  
  • id: 3469
    {'lmfdb_iso': '315.a', 'p': 13, 'prec': 20, 'unit': 322709316073556599483, 'val': 1}
  • id: 3471
    {'lmfdb_iso': '315.a', 'p': 17, 'prec': 20, 'unit': 110797244048241590386438, 'val': 1}
  • id: 3472
    {'lmfdb_iso': '315.a', 'p': 19, 'prec': 20, 'unit': 1279513256598745755760227, 'val': 1}
  • id: 3476
    {'lmfdb_iso': '315.a', 'p': 23, 'prec': 20, 'unit': 2589140680813627762856208, 'val': 1}
  • id: 3468
    {'lmfdb_iso': '315.a', 'p': 29, 'prec': 20, 'unit': 4864432115551392721398705401, 'val': 1}
  • id: 3480
    {'lmfdb_iso': '315.a', 'p': 31, 'prec': 20, 'unit': 15039290071712060650411745814, 'val': 1}
  • id: 3464
    {'lmfdb_iso': '315.a', 'p': 37, 'prec': 20, 'unit': 527978275818368658264403057652, 'val': 1}
  • id: 3466
    {'lmfdb_iso': '315.a', 'p': 41, 'prec': 20, 'unit': 3168222332410010824174936742162, 'val': 1}
  • id: 3467
    {'lmfdb_iso': '315.a', 'p': 43, 'prec': 20, 'unit': 8545668128895767602253293367124, 'val': 1}
  • id: 3478
    {'lmfdb_iso': '315.a', 'p': 47, 'prec': 20, 'unit': 43286902427239396407670878428704, 'val': 1}
  • id: 3473
    {'lmfdb_iso': '315.a', 'p': 53, 'prec': 20, 'unit': 355753835361761857842704149943853, 'val': 1}
  • id: 3474
    {'lmfdb_iso': '315.a', 'p': 59, 'prec': 20, 'unit': 422419573237063318109372250681357, 'val': 1}
  • id: 3479
    {'lmfdb_iso': '315.a', 'p': 61, 'prec': 20, 'unit': 3525317002464994776409923268877057, 'val': 1}
  • id: 3463
    {'lmfdb_iso': '315.a', 'p': 67, 'prec': 20, 'unit': 16430478219998281539361020080072695, 'val': 1}
  • id: 3465
    {'lmfdb_iso': '315.a', 'p': 71, 'prec': 20, 'unit': 113937436636258398643065597731244028, 'val': 1}
  • id: 3475
    {'lmfdb_iso': '315.a', 'p': 73, 'prec': 20, 'unit': 241574028685805781544020350424596328, 'val': 1}
  • id: 3470
    {'lmfdb_iso': '315.a', 'p': 79, 'prec': 20, 'unit': 287624298948482865533336311765763801, 'val': 1}
  • id: 3462
    {'lmfdb_iso': '315.a', 'p': 83, 'prec': 20, 'unit': 2452018853068217954247705684756341303, 'val': 1}
  • id: 3477
    {'lmfdb_iso': '315.a', 'p': 89, 'prec': 20, 'unit': 373143132766500517810794846249403981, 'val': 1}
  • id: 3461
    {'lmfdb_iso': '315.a', 'p': 97, 'prec': 20, 'unit': 46599584280720894798351588591407503185, '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
  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[]

  
  
  • id: 1240
    {'Ciso': '315b', 'Clabel': '315b3', 'Cnumber': 3, 'abc_quality': 0.9608739095359471, 'absD': 9568125, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, -1, 1, -1013, 12656], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 315, 'degree': 128, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38334398490683156792257326164', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [157551496201, 13125], 'lmfdb_iso': '315.a', 'lmfdb_label': '315.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -113, -469], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '28.12.0-4.c.1.1', '40.12.0.ba.1', '42.6.0.a.1', '84.24.0.?', '120.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.25941501140757438382702766045', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 8, 35], [5, 6, 63], [7, 8, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16596215942722327777504935682', 'prec': 107}, 'szpiro_ratio': 5.6278632129357185, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1239
    {'Ciso': '315b', 'Clabel': '315b2', 'Cnumber': 2, 'abc_quality': 1.0475132011931991, 'absD': 8037225, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 420, 'ainvs': [1, -1, 1, -68, 182], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 315, 'degree': 64, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.036770394626858913213957200915', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [47045881, 11025], 'lmfdb_iso': '315.a', 'lmfdb_label': '315.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -8, -7], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '20.12.0.a.1', '28.12.0-2.a.1.1', '60.24.0-20.a.1.1', '84.24.0.?', '140.24.0.?', '420.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.51883002281514876765405532090', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 35], [5, 6, 63], [7, 8, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51253574970719593248366541755', 'prec': 107}, 'szpiro_ratio': 4.216949377271931, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1238
    {'Ciso': '315b', 'Clabel': '315b1', 'Cnumber': 1, 'abc_quality': 0.9665903421508077, 'absD': 76545, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, -1, 1, -23, -34], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 315, 'degree': 32, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.30980319565311374149465885981', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1771561, 105], 'lmfdb_iso': '315.a', 'lmfdb_label': '315.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3, 1], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '28.12.0-4.c.1.2', '40.12.0.ba.1', '60.12.0-4.c.1.2', '120.24.0.?', '168.24.0.?', '210.6.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0376600456302975353081106418', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 35], [5, 6, 63], [7, 8, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85910933998716858719228147827', 'prec': 107}, 'szpiro_ratio': 3.6468979508760584, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1241
    {'Ciso': '315b', 'Clabel': '315b4', 'Cnumber': 4, 'abc_quality': 0.9447753303493565, 'absD': 708883245, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, -1, 1, 157, 992], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 315, 'degree': 128, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38334398490683156792257326164', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [590589719, 972405], 'lmfdb_iso': '315.a', 'lmfdb_label': '315.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 17, -37], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '20.12.0.h.1', '56.12.0-4.c.1.5', '60.24.0-20.h.1.2', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.25941501140757438382702766045', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 35], [5, 6, 63], [7, 8, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16596215942722327777504935682', 'prec': 107}, 'szpiro_ratio': 4.763236848771008, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}