Elliptic curve isogeny class data - 390390.ck

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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, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 0, -1, 1, 1, 6, -1, -8, 1], 'aplist': [-1, 1, 1, 1, -1, 0, 6, -8, 0, -2, 4, 2, 2, 4, 4, 14, -4, 14, -12, 8, 2, -8, -16, -2, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 390390, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '390390.ck', 'trace_hash': 1253474606082470493}
• lmfdb_iso 390390.ck does not appear in ec_padic
• 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: 2427702
    {'Ciso': '390390ck', 'Clabel': '390390ck4', 'Cnumber': 4, 'abc_quality': 1.0393554700052399, 'absD': 22946553449820000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 0, 1, -1784640173, -29018592010744], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 390390, 'degree': 141557760, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5576786904557717352671331968', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [130231365028993807856757649, 4753980000], 'lmfdb_iso': '390390.ck', 'lmfdb_label': '390390.ck1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10560001, -13209092695], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '52.12.0-4.c.1.1', '56.12.0.z.1', '88.12.0.?', '616.24.0.?', '728.24.0.?', '1144.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1859], [3, 4, 130130], [5, 6, 39039], [7, 8, 55770], [11, 12, 35490], [13, 86, 2310]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2752040117250033672403894760', 'prec': 100}, 'szpiro_ratio': 5.8657575646750635, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2427701
    {'Ciso': '390390ck', 'Clabel': '390390ck3', 'Cnumber': 3, 'abc_quality': 1.019010384970128, 'absD': 11906686652211914062500000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 0, 1, -113622253, -435614309752], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 390390, 'degree': 141557760, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5576786904557717352671331968', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [33608860073906150870929, 2466782226562500000], 'lmfdb_iso': '390390.ck', 'lmfdb_label': '390390.ck2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -672321, -198328599], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0.z.1', '88.12.0.?', '104.12.0.?', '364.12.0.?', '616.24.0.?', '728.24.0.?', '1144.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 13013], [3, 4, 130130], [5, 6, 39039], [7, 8, 55770], [11, 12, 35490], [13, 86, 2310]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2752040117250033672403894760', 'prec': 100}, 'szpiro_ratio': 5.224022313972889, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2427700
    {'Ciso': '390390ck', 'Clabel': '390390ck2', 'Cnumber': 2, 'abc_quality': 1.1035274474454186, 'absD': 927228078176400000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 0, 1, -111540173, -453421090744], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 390390, 'degree': 70778880, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2111051001757990805585171360', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2], 'jinv': [31794905164720991157649, 192099600000000], 'lmfdb_iso': '390390.ck', 'lmfdb_label': '390390.ck3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -660001, -206432695], 'min_quad_twist_disc': 13, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '28.12.0.b.1', '52.12.0-2.a.1.1', '88.12.0.?', '364.24.0.?', '616.24.0.?', '1144.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 169], [3, 4, 130130], [5, 6, 39039], [7, 8, 55770], [11, 12, 35490], [13, 86, 2310]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9286304214450307125317734152', 'prec': 100}, 'szpiro_ratio': 5.219712870300625, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2427699
    {'Ciso': '390390ck', 'Clabel': '390390ck1', 'Cnumber': 1, 'abc_quality': 1.0882037062307908, 'absD': 2917771880593489920000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 8008, 'ainvs': [1, 0, 1, -6841293, -7361982392], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 390390, 'degree': 35389440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8645315098958264258499010753', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [-7336316844655213969, 604492922880000], 'lmfdb_iso': '390390.ck', 'lmfdb_label': '390390.ck4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -40481, -3354039], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '14.6.0.b.1', '28.12.0.g.1', '52.12.0-4.c.1.2', '88.12.0.?', '364.24.0.?', '616.24.0.?', '1144.24.0.?', '8008.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1183], [3, 4, 130130], [5, 6, 39039], [7, 8, 55770], [11, 12, 35490], [13, 86, 2310]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5820568311650580578231573545', 'prec': 100}, 'szpiro_ratio': 4.57962188903431, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}