Elliptic curve isogeny class data - 435600.jr

Formats: - HTML - YAML - JSON - 2025-09-23T03:57:48.113308

• 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, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 0, 0, 0, -2, -2, -4, 0, -2, 0, 2, 2, 12, -8, 6, -12, -6, 4, 0, -6, -16, 4, -10, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 435600, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '435600.jr', 'trace_hash': 777238841701842364}
• lmfdb_iso 435600.jr 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: 2690751
    {'Ciso': '435600jr', 'Clabel': '435600jr5', 'Cnumber': 5, 'abc_quality': 1.0074430799323078, 'absD': 23440143637350000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, -1692315075, 26794986237250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 435600, 'degree': 141557760, 'elladic_images': ['16.24.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9462085579926392471324008456', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 251, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6484907238722641, 283593750], 'lmfdb_iso': '435600.jr', 'lmfdb_label': '435600.jr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3885, -93525], 'min_quad_twist_disc': -660, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.7', '24.24.0.bj.1', '40.24.0-8.n.1.3', '48.48.0-24.bj.1.5', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '660.12.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70008864048240363268619465008', 'prec': 103}, 'szpiro_ratio': 5.803982510951636, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2690750
    {'Ciso': '435600jr', 'Clabel': '435600jr4', 'Cnumber': 4, 'abc_quality': 0.990076389601979, 'absD': 119304364532094720000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, -511839075, -4457026862750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 435600, 'degree': 70778880, 'elladic_images': ['16.24.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5996349677126665924237847849', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 251, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [179415687049201, 1443420], 'lmfdb_iso': '435600.jr', 'lmfdb_label': '435600.jr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1175, 15405], 'min_quad_twist_disc': -660, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0-4.c.1.2', '16.24.0-8.n.1.7', '24.24.0-8.n.1.1', '40.24.0.cb.1', '48.48.0-48.h.1.26', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '220.12.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '660.24.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], '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, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35351505020243097797757858938', 'prec': 103}, 'szpiro_ratio': 5.527689005451904, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2690749
    {'Ciso': '435600jr', 'Clabel': '435600jr3', 'Cnumber': 3, 'abc_quality': 0.9688781293995236, 'absD': 27228070849145760000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -111087075, 374247585250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 435600, 'degree': 70778880, 'elladic_images': ['8.24.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5996349677126665924237847849', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 251, 'isogeny_degrees': [1, 2, 4], 'jinv': [1834216913521, 329422500], 'lmfdb_iso': '435600.jr', 'lmfdb_label': '435600.jr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -255, -1323], 'min_quad_twist_disc': -660, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.7', '24.48.0-24.e.1.15', '40.48.0-40.i.1.28', '88.48.0.?', '120.96.0.?', '264.96.0.?', '440.96.0.?', '660.24.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35351505020243097797757858938', 'prec': 103}, 'szpiro_ratio': 5.174722397338661, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2690748
    {'Ciso': '435600jr', 'Clabel': '435600jr2', 'Cnumber': 2, 'abc_quality': 0.9379136566213516, 'absD': 324036545642726400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -32679075, -66483782750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 435600, 'degree': 35389440, 'elladic_images': ['8.24.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2530613774326939377151687242', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 251, 'isogeny_degrees': [1, 2, 4], 'jinv': [46694890801, 3920400], 'lmfdb_iso': '435600.jr', 'lmfdb_label': '435600.jr4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -75, 225], 'min_quad_twist_disc': -660, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.7', '12.24.0-4.b.1.2', '24.48.0-24.l.1.14', '40.48.0-40.i.2.18', '88.48.0.?', '120.96.0.?', '220.24.0.?', '264.96.0.?', '440.96.0.?', '660.48.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0069414599224583232689625286868', 'prec': 110}, 'szpiro_ratio': 4.892020413234562, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2690747
    {'Ciso': '435600jr', 'Clabel': '435600jr1', 'Cnumber': 1, 'abc_quality': 0.921271538093497, 'absD': 10473908546027520000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, 2168925, -4767974750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 435600, 'degree': 17694720, 'elladic_images': ['16.24.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9064877871527212830065526634', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 251, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13651919, 126720], 'lmfdb_iso': '435600.jr', 'lmfdb_label': '435600.jr5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 5, 17], 'min_quad_twist_disc': -660, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0-4.c.1.1', '16.24.0-8.n.1.7', '24.24.0-8.n.1.5', '40.24.0-8.n.1.4', '48.48.0-48.h.1.10', '80.48.0.?', '88.24.0.?', '110.6.0.?', '120.48.0.?', '176.48.0.?', '220.12.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '660.24.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33963213035751433143965353211', 'prec': 107}, 'szpiro_ratio': 4.4740738139545995, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2690752
    {'Ciso': '435600jr', 'Clabel': '435600jr6', 'Cnumber': 6, 'abc_quality': 1.0027749166866642, 'absD': 2657641235348953814400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, 215612925, 2160316485250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 435600, 'degree': 141557760, 'elladic_images': ['16.24.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9462085579926392471324008456', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 251, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13411719834479, 32153832150], 'lmfdb_iso': '435600.jr', 'lmfdb_label': '435600.jr6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 495, -7473], 'min_quad_twist_disc': -660, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.7', '24.24.0.bn.1', '40.24.0.cb.2', '48.48.0-24.bn.1.5', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '660.12.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], '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, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70008864048240363268619465008', 'prec': 103}, 'szpiro_ratio': 5.416135187577175, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}