Elliptic curve isogeny class data - 75106.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, -2, 1, 0, -2, -4, 1, 1, 0, -6, -2, -2, -4, 0, 1, -1, 1, 4, 0], 'aplist': [1, -2, 0, -4, -6, -2, -1, 4, 0, 0, 4, -4, -6, -8, 0, -6, 0, -4, -8, 0, -2, 8, 0, -6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 75106, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '75106.a', 'trace_hash': 191541651333287937}
• ec_padic •

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

  
  
  • id: 3861887
    {'lmfdb_iso': '75106.a', 'p': 7, 'prec': 20, 'unit': 1836630678469550, 'val': 1}
  • id: 3861892
    {'lmfdb_iso': '75106.a', 'p': 11, 'prec': 20, 'unit': 59215538173197026293, 'val': 1}
  • id: 3861890
    {'lmfdb_iso': '75106.a', 'p': 13, 'prec': 20, 'unit': 92334909068720714401, 'val': 1}
  • id: 3861893
    {'lmfdb_iso': '75106.a', 'p': 19, 'prec': 20, 'unit': 124752827508848180057689, 'val': 1}
  • id: 3861898
    {'lmfdb_iso': '75106.a', 'p': 31, 'prec': 20, 'unit': 9933581634463400128766137650, 'val': 1}
  • id: 3861886
    {'lmfdb_iso': '75106.a', 'p': 37, 'prec': 20, 'unit': 525753046163794026832954687961, 'val': 1}
  • id: 3861888
    {'lmfdb_iso': '75106.a', 'p': 41, 'prec': 20, 'unit': 2755630279541318617052752086946, 'val': 1}
  • id: 3861889
    {'lmfdb_iso': '75106.a', 'p': 43, 'prec': 20, 'unit': 9538324752705440326631955361782, 'val': 1}
  • id: 3861894
    {'lmfdb_iso': '75106.a', 'p': 53, 'prec': 20, 'unit': 333983472100957761239316847973775, 'val': 1}
  • id: 3861897
    {'lmfdb_iso': '75106.a', 'p': 61, 'prec': 20, 'unit': 1033339222381065074224358439413860, 'val': 1}
  • id: 3861885
    {'lmfdb_iso': '75106.a', 'p': 67, 'prec': 20, 'unit': 8022603266139114014904242025585519, 'val': 1}
  • id: 3861895
    {'lmfdb_iso': '75106.a', 'p': 73, 'prec': 20, 'unit': 153821605119014680507530725126528879, 'val': 1}
  • id: 3861891
    {'lmfdb_iso': '75106.a', 'p': 79, 'prec': 20, 'unit': 971053192093818868012604708963317825, 'val': 1}
  • id: 3861896
    {'lmfdb_iso': '75106.a', 'p': 89, 'prec': 20, 'unit': 5830662643451517580940835919404942636, 'val': 1}
  • id: 3861884
    {'lmfdb_iso': '75106.a', 'p': 97, 'prec': 20, 'unit': 19308582074069548638582429601584974981, '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: 496069
    {'Ciso': '75106b', 'Clabel': '75106b4', 'Cnumber': 4, 'abc_quality': 1.0684849196783666, 'absD': 520368107539190402, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 19176, 'ainvs': [1, 0, 0, -249663, 33159175], 'analytic_rank': 1, 'bad_primes': [2, 17, 47], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 75106, 'degree': 1271808, 'elladic_images': ['8.6.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1045611989205948071647258361', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [159661140625, 48275138], 'lmfdb_iso': '75106.a', 'lmfdb_label': '75106.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -113, -329], 'min_quad_twist_disc': -47, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '24.24.0.y.1', '68.6.0.c.1', '136.12.0.?', '141.8.0.?', '204.24.0.?', '282.24.0.?', '408.48.1.?', '1128.48.0.?', '9588.48.0.?', '19176.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9933266729073911109485262785', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2209], [3, 2, 4418], [17, 18, 4418], [47, 1106, 34]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.17948739806556551375425050121', 'prec': 103}, 'szpiro_ratio': 4.35545600845099, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 496068
    {'Ciso': '75106b', 'Clabel': '75106b3', 'Cnumber': 3, 'abc_quality': 0.985640636788803, 'absD': 211833139645508, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 19176, 'ainvs': [1, 0, 0, -227573, 41761021], 'analytic_rank': 1, 'bad_primes': [2, 17, 47], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 75106, 'degree': 635904, 'elladic_images': ['8.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7579876086406221524561097754', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [120920208625, 19652], 'lmfdb_iso': '75106.a', 'lmfdb_label': '75106.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -103, -411], 'min_quad_twist_disc': -47, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '24.24.0.bw.1', '34.6.0.a.1', '102.24.0.?', '136.12.0.?', '141.8.0.?', '282.24.0.?', '408.48.1.?', '1128.48.0.?', '4794.48.0.?', '19176.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9966633364536955554742631393', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 37553], [3, 2, 4418], [17, 18, 4418], [47, 1106, 34]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16708619221440714095436555949', 'prec': 107}, 'szpiro_ratio': 4.330700390234116, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 496067
    {'Ciso': '75106b', 'Clabel': '75106b2', 'Cnumber': 2, 'abc_quality': 0.9659043939476677, 'absD': 24921545840648, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 19176, 'ainvs': [1, 0, 0, -95033, -11281487], 'analytic_rank': 1, 'bad_primes': [2, 17, 47], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 75106, 'degree': 423936, 'elladic_images': ['8.6.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5552550545865399614671032177', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [8805624625, 2312], 'lmfdb_iso': '75106.a', 'lmfdb_label': '75106.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -43, 105], 'min_quad_twist_disc': -47, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '24.24.0.y.1', '68.6.0.c.1', '136.12.0.?', '141.8.0.?', '204.24.0.?', '282.24.0.?', '408.48.1.?', '1128.48.0.?', '9588.48.0.?', '19176.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9977755576357970369828420928', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2209], [3, 2, 37553], [17, 18, 4418], [47, 1106, 34]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36981874626848933194337211719', 'prec': 107}, 'szpiro_ratio': 4.0973503811621566, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 496066
    {'Ciso': '75106b', 'Clabel': '75106b1', 'Cnumber': 1, 'abc_quality': 0.9000957170016773, 'absD': 11727786277952, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 19176, 'ainvs': [1, 0, 0, -6673, -130455], 'analytic_rank': 1, 'bad_primes': [2, 17, 47], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 75106, 'degree': 211968, 'elladic_images': ['8.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2086814643065673067584871570', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3048625, 1088], 'lmfdb_iso': '75106.a', 'lmfdb_label': '75106.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3, 1], 'min_quad_twist_disc': -47, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '24.24.0.bw.1', '34.6.0.a.1', '102.24.0.?', '136.12.0.?', '141.8.0.?', '282.24.0.?', '408.48.1.?', '1128.48.0.?', '4794.48.0.?', '19176.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.99888777881789851849142104642', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 37553], [3, 2, 37553], [17, 18, 4418], [47, 1106, 34]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71639233654846198665198817789', 'prec': 107}, 'szpiro_ratio': 3.3875704180139063, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}