Elliptic curve isogeny class data - 6336.t

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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, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 6, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -2, 0, 1, 6, -2, -4, -4, 2, 4, 2, -10, -4, -4, 6, 12, 6, -4, -4, 10, 16, -4, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 6336, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '6336.t', 'trace_hash': 334196587215780011}
• ec_padic •

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

  
  
  • id: 248283
    {'lmfdb_iso': '6336.t', 'p': 5, 'prec': 20, 'unit': 5905942982797, 'val': 1}
  • id: 248289
    {'lmfdb_iso': '6336.t', 'p': 13, 'prec': 20, 'unit': 745454619607203792723, 'val': 1}
  • id: 248291
    {'lmfdb_iso': '6336.t', 'p': 17, 'prec': 20, 'unit': 99772394516016101314372, 'val': 1}
  • id: 248292
    {'lmfdb_iso': '6336.t', 'p': 19, 'prec': 20, 'unit': 1276456430051908318761678, 'val': 1}
  • id: 248296
    {'lmfdb_iso': '6336.t', 'p': 23, 'prec': 20, 'unit': 23532231327592912559582821, 'val': 1}
  • id: 248288
    {'lmfdb_iso': '6336.t', 'p': 29, 'prec': 20, 'unit': 143254269445503801346862131, 'val': 2}
  • id: 248285
    {'lmfdb_iso': '6336.t', 'p': 31, 'prec': 20, 'unit': 4594342204740077431188947015, 'val': 1}
  • id: 248300
    {'lmfdb_iso': '6336.t', 'p': 37, 'prec': 20, 'unit': 302545563754756524168677483587, 'val': 1}
  • id: 248286
    {'lmfdb_iso': '6336.t', 'p': 41, 'prec': 20, 'unit': 1303715502881183724491831603792, 'val': 1}
  • id: 248287
    {'lmfdb_iso': '6336.t', 'p': 43, 'prec': 20, 'unit': 1245601971485237064000885452986, 'val': 1}
  • id: 248298
    {'lmfdb_iso': '6336.t', 'p': 47, 'prec': 20, 'unit': 2245140184123300942816998710508, 'val': 1}
  • id: 248293
    {'lmfdb_iso': '6336.t', 'p': 53, 'prec': 20, 'unit': 270986713515803110497871443020588, 'val': 1}
  • id: 248294
    {'lmfdb_iso': '6336.t', 'p': 59, 'prec': 20, 'unit': 3140343193978341673216544674892151, 'val': 1}
  • id: 248299
    {'lmfdb_iso': '6336.t', 'p': 61, 'prec': 20, 'unit': 1021804893155554217757443634231248, 'val': 1}
  • id: 248282
    {'lmfdb_iso': '6336.t', 'p': 67, 'prec': 20, 'unit': 2132234022680639612089987862113270, 'val': 1}
  • id: 248284
    {'lmfdb_iso': '6336.t', 'p': 71, 'prec': 20, 'unit': 148547154552820015264262502498139702, 'val': 1}
  • id: 248295
    {'lmfdb_iso': '6336.t', 'p': 73, 'prec': 20, 'unit': 16218438199002900270331339588611206, 'val': 1}
  • id: 248290
    {'lmfdb_iso': '6336.t', 'p': 79, 'prec': 20, 'unit': 815815752181075686622552615902725654, 'val': 1}
  • id: 248281
    {'lmfdb_iso': '6336.t', 'p': 83, 'prec': 20, 'unit': 1861548729956622184320126514629071370, 'val': 1}
  • id: 248297
    {'lmfdb_iso': '6336.t', 'p': 89, 'prec': 20, 'unit': 9232909650863127004764687802201016623, 'val': 1}
  • id: 248280
    {'lmfdb_iso': '6336.t', 'p': 97, 'prec': 20, 'unit': 55233135156396717306128056238122903788, '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: 39997
    {'Ciso': '6336bc', 'Clabel': '6336bc3', 'Cnumber': 3, 'abc_quality': 0.9456032587814609, 'absD': 1724011610112, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -5196, -129584], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6336, 'degree': 8192, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0810999250698469928630527390', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [649461896, 72171], 'lmfdb_iso': '6336.t', 'lmfdb_label': '6336.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -144, 648], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.2', '24.24.0-8.m.1.8', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2320106044654079497884219572', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 8, 704], [11, 12, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33464019496413948960611003128', 'prec': 107}, 'szpiro_ratio': 4.258684449767963, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 39996
    {'Ciso': '6336bc', 'Clabel': '6336bc2', 'Cnumber': 2, 'abc_quality': 0.9303769565820871, 'absD': 29265629184, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -1236, 14560], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6336, 'degree': 4096, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.73452633478987433815443667823', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [69934528, 9801], 'lmfdb_iso': '6336.t', 'lmfdb_label': '6336.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -34, -56], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0-2.a.1.1', '24.24.0-8.b.1.2', '44.12.0.a.1', '88.24.0.?', '132.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6160053022327039748942109786', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 704], [11, 12, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50792699010412581696041806169', 'prec': 107}, 'szpiro_ratio': 3.7665637305898434, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 39995
    {'Ciso': '6336bc', 'Clabel': '6336bc1', 'Cnumber': 1, 'abc_quality': 0.9726642216781441, 'absD': 4618944, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, -1191, 15820], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6336, 'degree': 2048, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38795274450990168344582061751', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [4004529472, 99], 'lmfdb_iso': '6336.t', 'lmfdb_label': '6336.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -529, -4511], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '24.24.0-8.m.1.7', '44.12.0.h.1', '88.24.0.?', '264.48.0.?'], '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': '3.2320106044654079497884219572', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 8, 704], [11, 12, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50792699010412581696041806168', 'prec': 107}, 'szpiro_ratio': 3.753853978624682, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 39998
    {'Ciso': '6336bc', 'Clabel': '6336bc4', 'Cnumber': 4, 'abc_quality': 0.9642557450596996, 'absD': 3147681005568, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, 0, 0, 2004, 78064], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6336, 'degree': 8192, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0810999250698469928630527390', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [37259704, 131769], 'lmfdb_iso': '6336.t', 'lmfdb_label': '6336.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 56, -380], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '12.12.0-4.c.1.1', '24.24.0-8.d.1.1', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80800265111635198744710548929', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 704], [11, 12, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33464019496413948960611003128', 'prec': 107}, 'szpiro_ratio': 4.118540326708354, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}