Elliptic curve isogeny class data - 15870.u

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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, 4, -1, 1, -1, 0, 1, 2, -4, 1, 1, -6, -1, 4, 1], 'aplist': [-1, 1, 1, 4, 0, 2, -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': 15870, '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': '15870.u', 'trace_hash': 933821727705709608}
• lmfdb_iso 15870.u 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: 104469
    {'Ciso': '15870u', 'Clabel': '15870u8', 'Cnumber': 8, 'abc_quality': 1.0818126452233845, 'absD': 11990907009000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2760, 'ainvs': [1, 0, 1, -2821433, 1823881556], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15870, 'degree': 304128, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1319130931809265256926187375', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '15870.u', 'lmfdb_label': '15870.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': -23, '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', '40.12.0.v.1', '60.48.0.c.3', '69.8.0-3.a.1.1', '120.192.5.?', '138.24.0.?', '184.12.0.?', '276.48.0.?', '460.12.0.?', '552.192.1.?', '920.24.0.?', '1380.96.0.?', '2760.384.5.?'], '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, 2645], [3, 4, 529], [5, 6, 3174], [23, 266, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232159', 'prec': 103}, 'szpiro_ratio': 5.8075671844863805, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 104468
    {'Ciso': '15870u', 'Clabel': '15870u7', 'Cnumber': 7, 'abc_quality': 1.1359972360691755, 'absD': 867397787109375000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2760, 'ainvs': [1, 0, 1, -239913, 6135988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15870, 'degree': 304128, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1319130931809265256926187375', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '15870.u', 'lmfdb_label': '15870.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': -23, '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', '40.12.0.bb.1', '69.8.0-3.a.1.1', '120.192.5.?', '138.24.0.?', '184.12.0.?', '276.96.0.?', '552.192.1.?', '920.24.0.?', '2760.384.5.?'], '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, 1587], [3, 4, 529], [5, 6, 3174], [23, 266, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232159', 'prec': 103}, 'szpiro_ratio': 5.043088800319867, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 104467
    {'Ciso': '15870u', 'Clabel': '15870u6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 1332323001000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2760, 'ainvs': [1, 0, 1, -176433, 28455556], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15870, 'degree': 152064, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7853395029009538709840026767', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '15870.u', 'lmfdb_label': '15870.u3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': -23, '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', '40.12.0.a.1', '60.96.1.h.3', '69.8.0-3.a.1.1', '120.192.5.?', '138.48.0.?', '184.12.0.?', '276.96.0.?', '460.12.0.?', '552.192.1.?', '920.24.0.?', '1380.192.1.?', '2760.384.5.?'], '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, 529], [3, 4, 529], [5, 6, 3174], [23, 266, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626079', 'prec': 103}, 'szpiro_ratio': 4.947763126915239, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 104465
    {'Ciso': '15870u', 'Clabel': '15870u4', 'Cnumber': 4, 'abc_quality': 1.0501740895315954, 'absD': 4996211253750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2760, 'ainvs': [1, 0, 1, -152628, -22963244], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15870, 'degree': 101376, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5826069488468716799949961190', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '15870.u', 'lmfdb_label': '15870.u4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': -23, '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', '40.12.0.bb.1', '69.8.0-3.a.1.2', '120.192.5.?', '138.24.0.?', '184.12.0.?', '276.96.0.?', '552.192.1.?', '920.24.0.?', '2760.384.5.?'], '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, 1587], [3, 4, 5290], [5, 6, 3174], [23, 266, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703096', 'prec': 107}, 'szpiro_ratio': 4.90280802399545, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 104466
    {'Ciso': '15870u', 'Clabel': '15870u5', 'Cnumber': 5, 'abc_quality': 1.0339287621454463, 'absD': 786723408860490, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2760, 'ainvs': [1, 0, 1, -36248, 2284868], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15870, 'degree': 101376, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5826069488468716799949961190', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '15870.u', 'lmfdb_label': '15870.u5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': -23, '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', '40.12.0.v.1', '60.48.0.c.4', '69.8.0-3.a.1.2', '120.192.5.?', '138.24.0.?', '184.12.0.?', '276.48.0.?', '460.12.0.?', '552.192.1.?', '920.24.0.?', '1380.96.0.?', '2760.384.5.?'], '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, 2645], [3, 4, 5290], [5, 6, 3174], [23, 266, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703096', 'prec': 107}, 'szpiro_ratio': 4.456901745403064, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 104463
    {'Ciso': '15870u', 'Clabel': '15870u2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 10791816308100, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2760, 'ainvs': [1, 0, 1, -9798, -338972], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15870, 'degree': 50688, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2360333585668990252863800583', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '15870.u', 'lmfdb_label': '15870.u6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': -23, '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', '40.12.0.a.1', '60.96.1.h.1', '69.8.0-3.a.1.2', '120.192.5.?', '138.48.0.?', '184.12.0.?', '276.96.0.?', '460.12.0.?', '552.192.1.?', '920.24.0.?', '1380.192.1.?', '2760.384.5.?'], '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, 529], [3, 4, 5290], [5, 6, 3174], [23, 266, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635760', 'prec': 107}, 'szpiro_ratio': 4.05112740362613, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 104464
    {'Ciso': '15870u', 'Clabel': '15870u3', 'Cnumber': 3, 'abc_quality': 1.0491971880149842, 'absD': 227383125504000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2760, 'ainvs': [1, 0, 1, -7153, 761348], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15870, 'degree': 76032, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4387659126209812162753866160', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-273359449, 1536000], 'lmfdb_iso': '15870.u', 'lmfdb_label': '15870.u7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14, -64], 'min_quad_twist_disc': -23, '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', '40.12.0.bb.1', '60.96.1.n.2', '69.8.0-3.a.1.1', '120.192.5.?', '138.24.0.?', '184.12.0.?', '276.96.0.?', '460.12.0.?', '552.192.1.?', '690.48.0.?', '920.24.0.?', '1380.192.1.?', '2760.384.5.?'], '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, 7935], [3, 4, 529], [5, 6, 3174], [23, 266, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979990', 'prec': 107}, 'szpiro_ratio': 4.198678951325835, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 104462
    {'Ciso': '15870u', 'Clabel': '15870u1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 319757520240, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2760, 'ainvs': [1, 0, 1, 782, -25804], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 15870, 'degree': 25344, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88945976828692637057776399755', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '15870.u', 'lmfdb_label': '15870.u8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': -23, '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', '40.12.0.bb.1', '60.96.1.n.4', '69.8.0-3.a.1.2', '120.192.5.?', '138.24.0.?', '184.12.0.?', '276.96.0.?', '460.12.0.?', '552.192.1.?', '690.48.0.?', '920.24.0.?', '1380.192.1.?', '2760.384.5.?'], '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, 7935], [3, 4, 5290], [5, 6, 3174], [23, 266, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241835', 'prec': 107}, 'szpiro_ratio': 3.4991825135011996, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}