Elliptic curve isogeny class data - 9675.s

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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, 0, 0, 0, -3, 0, 0, 0, 0, 2, 0, 0, -1, -6, 0, 4, 0], 'aplist': [1, 0, 0, 0, 0, 2, -6, 4, -4, 6, 8, -6, -2, 1, 4, -2, 0, 14, -12, -8, -2, -8, 0, -14, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 9675, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '9675.s', 'trace_hash': 7699816322397248}
• ec_padic •

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

  
  
  • id: 405871
    {'lmfdb_iso': '9675.s', 'p': 13, 'prec': 20, 'unit': 601379469844520850131, 'val': 1}
  • id: 405873
    {'lmfdb_iso': '9675.s', 'p': 17, 'prec': 20, 'unit': 87329668990538124308630, 'val': 1}
  • id: 405874
    {'lmfdb_iso': '9675.s', 'p': 19, 'prec': 20, 'unit': 659017127423689875478774, 'val': 1}
  • id: 405869
    {'lmfdb_iso': '9675.s', 'p': 23, 'prec': 20, 'unit': 58948550759455078721677548, 'val': 1}
  • id: 405870
    {'lmfdb_iso': '9675.s', 'p': 29, 'prec': 20, 'unit': 344678423024274262252232378, 'val': 1}
  • id: 405880
    {'lmfdb_iso': '9675.s', 'p': 31, 'prec': 20, 'unit': 5966221295606079628969122677, 'val': 1}
  • id: 405866
    {'lmfdb_iso': '9675.s', 'p': 37, 'prec': 20, 'unit': 106476378193199597966079964737, 'val': 1}
  • id: 405868
    {'lmfdb_iso': '9675.s', 'p': 41, 'prec': 20, 'unit': 2618856868371727916818369382936, 'val': 1}
  • id: 405872
    {'lmfdb_iso': '9675.s', 'p': 47, 'prec': 20, 'unit': 29340435832908675096441192808673, 'val': 1}
  • id: 405875
    {'lmfdb_iso': '9675.s', 'p': 53, 'prec': 20, 'unit': 366937598712364865244478931321720, 'val': 1}
  • id: 405879
    {'lmfdb_iso': '9675.s', 'p': 61, 'prec': 20, 'unit': 2788886451211476313664675398175084, 'val': 1}
  • id: 405865
    {'lmfdb_iso': '9675.s', 'p': 67, 'prec': 20, 'unit': 7471627718630375799955462439499351, 'val': 1}
  • id: 405867
    {'lmfdb_iso': '9675.s', 'p': 71, 'prec': 20, 'unit': 26204294269872520910435104096231665, 'val': 1}
  • id: 405876
    {'lmfdb_iso': '9675.s', 'p': 73, 'prec': 20, 'unit': 17598621531836194473550443105764535, 'val': 1}
  • id: 405878
    {'lmfdb_iso': '9675.s', 'p': 79, 'prec': 20, 'unit': 233785438365445035127327764365903630, 'val': 1}
  • id: 405877
    {'lmfdb_iso': '9675.s', 'p': 89, 'prec': 20, 'unit': 8216068890197215197554875222437075539, 'val': 1}
  • id: 405864
    {'lmfdb_iso': '9675.s', 'p': 97, 'prec': 20, 'unit': 38231231213605295453542821180965071447, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 62442
    {'Ciso': '9675m', 'Clabel': '9675m3', 'Cnumber': 3, 'abc_quality': 1.0580583409717772, 'absD': 260298141046875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5160, 'ainvs': [1, -1, 0, -55017, -4892234], 'analytic_rank': 1, 'bad_primes': [3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9675, 'degree': 30720, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5708520146369811477103017449', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [1616855892553, 22851963], 'lmfdb_iso': '9675.s', 'lmfdb_label': '9675.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -245, 1433], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '40.12.0-4.c.1.5', '60.12.0-4.c.1.2', '120.24.0.?', '172.12.0.?', '1032.24.0.?', '1720.24.0.?', '2580.24.0.?', '5160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.2838051473398812241442210440', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 6, 1075], [5, 14, 387], [43, 44, 225]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21682691408587611471229945983', 'prec': 103}, 'szpiro_ratio': 4.833644239109437, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 62441
    {'Ciso': '9675m', 'Clabel': '9675m2', 'Cnumber': 2, 'abc_quality': 0.9531022714427504, 'absD': 15353662640625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2580, 'ainvs': [1, -1, 0, -6642, 90391], 'analytic_rank': 1, 'bad_primes': [3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9675, 'degree': 15360, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2242784243570084930016856842', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [2845178713, 1347921], 'lmfdb_iso': '9675.s', 'lmfdb_label': '9675.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -30, -29], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '20.12.0-2.a.1.1', '60.24.0-12.b.1.2', '172.12.0.?', '516.24.0.?', '860.24.0.?', '2580.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1419025736699406120721105220', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 6, 1075], [5, 14, 387], [43, 44, 225]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12974667619409653999631660087', 'prec': 107}, 'szpiro_ratio': 4.1425245747965285, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 62440
    {'Ciso': '9675m', 'Clabel': '9675m1', 'Cnumber': 1, 'abc_quality': 0.9131702373502987, 'absD': 13224515625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5160, 'ainvs': [1, -1, 0, -5517, 159016], 'analytic_rank': 1, 'bad_primes': [3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9675, 'degree': 7680, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87770483407703583829306962349', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [1630532233, 1161], 'lmfdb_iso': '9675.s', 'lmfdb_label': '9675.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -25, -49], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '24.12.0.z.1', '120.24.0.?', '258.6.0.?', '344.12.0.?', '516.12.0.?', '1032.24.0.?', '1720.24.0.?', '2580.24.0.?', '5160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0709512868349703060360552610', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 6, 1075], [5, 14, 387], [43, 44, 225]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47632026647406919470493266158', 'prec': 107}, 'szpiro_ratio': 4.081861921742346, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 62443
    {'Ciso': '9675m', 'Clabel': '9675m4', 'Cnumber': 4, 'abc_quality': 0.9868055343303582, 'absD': 1051441563796875, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5160, 'ainvs': [1, -1, 0, 23733, 667516], 'analytic_rank': 1, 'bad_primes': [3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9675, 'degree': 30720, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5708520146369811477103017450', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [129784785047, 92307627], 'lmfdb_iso': '9675.s', 'lmfdb_label': '9675.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 105, -191], 'min_quad_twist_disc': -15, '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', '20.12.0-4.c.1.1', '60.24.0-12.g.1.1', '344.12.0.?', '1032.24.0.?', '1720.24.0.?', '5160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0709512868349703060360552610', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 6, 1075], [5, 14, 387], [43, 44, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21682691408587611471229945993', 'prec': 103}, 'szpiro_ratio': 4.558796406517334, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}