Elliptic curve isogeny class data - 13200.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, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, -1, 0, 0, 1, 2, 6, 4, 0, 6, 8, -6, 10, -4, -8, 10, 12, 6, -4, 0, 14, 0, 4, -6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 13200, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '13200.t', 'trace_hash': 299025842416991723}
• lmfdb_iso 13200.t 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: 86176
    {'Ciso': '13200h', 'Clabel': '13200h3', 'Cnumber': 3, 'abc_quality': 1.0052432979893915, 'absD': 39600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, -1, 0, -1320008, -583291488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13200, 'degree': 98304, 'elladic_images': ['16.48.0.117'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8801070869931744142260634152', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [15897679904620804, 2475], 'lmfdb_iso': '13200.t', 'lmfdb_label': '13200.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -52800, 4687452], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.7', '16.48.0-16.f.1.9', '20.12.0-4.c.1.1', '40.48.0-40.cb.1.4', '44.12.0.h.1', '80.96.0.?', '88.48.0.?', '176.96.0.?', '220.24.0.?', '440.96.0.?', '880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698071', 'prec': 103}, 'szpiro_ratio': 5.680144106562171, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 86178
    {'Ciso': '13200h', 'Clabel': '13200h5', 'Cnumber': 5, 'abc_quality': 0.9967634929262502, 'absD': 833384518560000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, -1, 0, -700008, 221338512], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13200, 'degree': 196608, 'elladic_images': ['16.48.0.200'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2266806772731470689346794760', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1185450336504002, 26043266205], 'lmfdb_iso': '13200.t', 'lmfdb_label': '13200.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28000, -1759508], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.4', '16.48.0-16.f.2.5', '20.12.0-4.c.1.2', '40.48.0-40.bp.1.8', '80.96.0.?', '88.48.0.?', '176.96.0.?', '440.96.0.?', '880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78657680554281368133517036472', 'prec': 103}, 'szpiro_ratio': 5.479584572333317, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 86177
    {'Ciso': '13200h', 'Clabel': '13200h4', 'Cnumber': 4, 'abc_quality': 0.9815669003008649, 'absD': 38423840400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 440, 'ainvs': [0, -1, 0, -95008, -6141488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13200, 'degree': 98304, 'elladic_images': ['8.48.0.71'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8801070869931744142260634152', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [5927735656804, 2401490025], 'lmfdb_iso': '13200.t', 'lmfdb_label': '13200.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3800, 50652], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.d.2.11', '20.24.0-4.b.1.3', '40.96.0-40.n.1.7', '88.96.0.?', '440.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698071', 'prec': 103}, 'szpiro_ratio': 4.848113186299857, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 86175
    {'Ciso': '13200h', 'Clabel': '13200h2', 'Cnumber': 2, 'abc_quality': 1.0278304524202422, 'absD': 24502500000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 440, 'ainvs': [0, -1, 0, -82508, -9091488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13200, 'degree': 49152, 'elladic_images': ['8.48.0.136'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5335334967132017595174473545', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [15529488955216, 6125625], 'lmfdb_iso': '13200.t', 'lmfdb_label': '13200.t4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3300, 74052], 'min_quad_twist_disc': -20, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.d.1.3', '20.24.0-4.b.1.1', '40.96.0-40.r.2.6', '44.24.0.c.1', '88.96.0.?', '220.48.0.?', '440.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26671642012285469927224627358', 'prec': 103}, 'szpiro_ratio': 4.803509774602307, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 86174
    {'Ciso': '13200h', 'Clabel': '13200h1', 'Cnumber': 1, 'abc_quality': 1.0588833402519044, 'absD': 9667968750000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, -1, 0, -4383, -185238], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13200, 'degree': 24576, 'elladic_images': ['16.48.0.154'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1869599064332291048088312938', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-37256083456, 38671875], 'lmfdb_iso': '13200.t', 'lmfdb_label': '13200.t5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -175, 1552], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.1', '16.48.0-8.ba.1.4', '20.12.0-4.c.1.1', '22.6.0.a.1', '40.48.0-8.ba.1.7', '44.12.0.g.1', '80.96.0.?', '88.48.0.?', '176.96.0.?', '220.24.0.?', '440.96.0.?', '880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15119189002953048103604092003', 'prec': 103}, 'szpiro_ratio': 3.9837440335244017, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 86179
    {'Ciso': '13200h', 'Clabel': '13200h6', 'Cnumber': 6, 'abc_quality': 1.0072755098036974, 'absD': 2778091097760000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, -1, 0, 309992, -45021488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 13200, 'degree': 196608, 'elladic_images': ['8.48.0.213'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2266806772731470689346794760', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [102949393183198, 86815346805], 'lmfdb_iso': '13200.t', 'lmfdb_label': '13200.t6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 12400, 355212], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.ba.2.8', '20.12.0-4.c.1.2', '40.96.0-40.bk.2.4', '176.96.0.?', '880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 4400], [5, 18, 528], [11, 12, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78657680554281368133517036472', 'prec': 103}, 'szpiro_ratio': 5.222033175148806, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}