Elliptic curve isogeny class data - 15210.k

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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, 4, -1, 0, 1, 0, 0, 0, -4, 0, 1, -6, 0, 4, -1], 'aplist': [-1, 0, -1, 4, 0, 0, -6, 4, 0, 6, -8, -2, -6, -4, 0, 6, 0, -10, 4, 0, -2, 8, 12, 18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 15210, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '15210.k', 'trace_hash': 1348567361393527049}
• lmfdb_iso 15210.k 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: 100059
    {'Ciso': '15210n', 'Clabel': '15210n8', 'Cnumber': 8, 'abc_quality': 1.0818126452233845, 'absD': 285018244641000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -8112285, 8895327741], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15210, 'degree': 442368, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3959468082811748940136086608', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '15210.k', 'lmfdb_label': '15210.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.3', '39.8.0-3.a.1.1', '40.12.0.v.1', '60.48.0.c.3', '78.24.0.?', '104.12.0.?', '120.192.5.?', '156.48.0.?', '312.192.1.?', '520.24.0.?', '780.96.0.?', '1560.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7605], [3, 8, 169], [5, 6, 3042], [13, 86, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232155', 'prec': 103}, 'szpiro_ratio': 6.162208775182755, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 100058
    {'Ciso': '15210n', 'Clabel': '15210n7', 'Cnumber': 7, 'abc_quality': 1.1359972360691755, 'absD': 20617639224609375000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -689805, 30185325], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15210, 'degree': 442368, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3959468082811748940136086608', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '15210.k', 'lmfdb_label': '15210.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.3', '24.96.1.da.1', '39.8.0-3.a.1.1', '40.12.0.bb.1', '52.12.0-4.c.1.1', '78.24.0.?', '120.192.5.?', '156.96.0.?', '312.192.1.?', '520.24.0.?', '1560.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 169], [5, 6, 3042], [13, 86, 90]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232155', 'prec': 103}, 'szpiro_ratio': 5.394358214577864, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 100057
    {'Ciso': '15210n', 'Clabel': '15210n6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 31668693849000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -507285, 138930741], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15210, 'degree': 221184, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0493732180012022393049926001', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '15210.k', 'lmfdb_label': '15210.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '24.96.1.cp.2', '39.8.0-3.a.1.1', '40.12.0.a.1', '52.12.0-2.a.1.1', '60.96.1.h.3', '78.48.0.?', '120.192.5.?', '156.96.0.?', '312.192.1.?', '520.24.0.?', '780.192.1.?', '1560.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 8, 169], [5, 6, 3042], [13, 86, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626085', 'prec': 103}, 'szpiro_ratio': 5.2986120518611965, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 100055
    {'Ciso': '15210n', 'Clabel': '15210n4', 'Cnumber': 4, 'abc_quality': 1.0501740895315954, 'absD': 118757601933750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -438840, -111783294], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15210, 'degree': 147456, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8466406639471200483159860423', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '15210.k', 'lmfdb_label': '15210.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.4', '24.96.1.da.3', '39.8.0-3.a.1.2', '40.12.0.bb.1', '52.12.0-4.c.1.1', '78.24.0.?', '120.192.5.?', '156.96.0.?', '312.192.1.?', '520.24.0.?', '1560.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 2, 1690], [5, 6, 3042], [13, 86, 90]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703055', 'prec': 107}, 'szpiro_ratio': 5.253458648319715, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 100056
    {'Ciso': '15210n', 'Clabel': '15210n5', 'Cnumber': 5, 'abc_quality': 1.0339287621454463, 'absD': 18700047030896010, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -104220, 11180430], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15210, 'degree': 147456, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8466406639471200483159860423', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '15210.k', 'lmfdb_label': '15210.k5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.4', '39.8.0-3.a.1.2', '40.12.0.v.1', '60.48.0.c.4', '78.24.0.?', '104.12.0.?', '120.192.5.?', '156.48.0.?', '312.192.1.?', '520.24.0.?', '780.96.0.?', '1560.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7605], [3, 2, 1690], [5, 6, 3042], [13, 86, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703055', 'prec': 107}, 'szpiro_ratio': 4.805585440802277, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 100053
    {'Ciso': '15210n', 'Clabel': '15210n2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 256516420176900, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -28170, -1641600], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15210, 'degree': 73728, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5000670736671473936073699816', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '15210.k', 'lmfdb_label': '15210.k6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': -39, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '24.96.1.cp.4', '39.8.0-3.a.1.2', '40.12.0.a.1', '52.12.0-2.a.1.1', '60.96.1.h.1', '78.48.0.?', '120.192.5.?', '156.96.0.?', '312.192.1.?', '520.24.0.?', '780.192.1.?', '1560.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 2, 1690], [5, 6, 3042], [13, 86, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635765', 'prec': 107}, 'szpiro_ratio': 4.398021195343332, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 100054
    {'Ciso': '15210n', 'Clabel': '15210n3', 'Cnumber': 3, 'abc_quality': 1.0491971880149842, 'absD': 5404790416896000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -20565, 3719925], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15210, 'degree': 110592, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7027996277212295845963765393', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-273359449, 1536000], 'lmfdb_iso': '15210.k', 'lmfdb_label': '15210.k7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14, -64], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.1', '24.96.1.dh.4', '30.24.0.b.1', '39.8.0-3.a.1.1', '40.12.0.bb.1', '52.12.0-4.c.1.2', '60.96.1.n.2', '78.24.0.?', '120.192.5.?', '156.96.0.?', '312.192.1.?', '390.48.0.?', '520.24.0.?', '780.192.1.?', '1560.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7605], [3, 8, 169], [5, 6, 3042], [13, 86, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979995', 'prec': 107}, 'szpiro_ratio': 4.546223604941691, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 100052
    {'Ciso': '15210n', 'Clabel': '15210n1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 7600486523760, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [1, -1, 0, 2250, -126684], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15210, 'degree': 36864, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1534934833871747388987539209', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '15210.k', 'lmfdb_label': '15210.k8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.2', '24.96.1.dh.3', '30.24.0.b.1', '39.8.0-3.a.1.2', '40.12.0.bb.1', '52.12.0-4.c.1.2', '60.96.1.n.4', '78.24.0.?', '120.192.5.?', '156.96.0.?', '312.192.1.?', '390.48.0.?', '520.24.0.?', '780.192.1.?', '1560.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7605], [3, 2, 1690], [5, 6, 3042], [13, 86, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241834', 'prec': 107}, 'szpiro_ratio': 3.8436416313383917, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}