Elliptic curve isogeny class data - 436800.jt

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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, 1, 0, 1, 0, 4, 0, 1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, -1, 0, 1, 4, 1, -2, -4, 0, -6, -8, 6, 10, 4, 0, 6, -4, -6, -4, 0, 6, 0, 12, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 436800, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '436800.jt', 'trace_hash': 347973862328023260}
• lmfdb_iso 436800.jt 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: 2697999
    {'Ciso': '436800jt', 'Clabel': '436800jt6', 'Cnumber': 6, 'abc_quality': 0.9896819690631332, 'absD': 18345600000000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, -1, 0, -97864033, -372601580063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 436800, 'degree': 37748736, 'elladic_images': ['16.24.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0928785737905177975226411546', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 253, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [25306558948218234961, 4478906250], 'lmfdb_iso': '436800.jt', 'lmfdb_label': '436800.jt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -61165, -5847895], 'min_quad_twist_disc': 40, '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.1.4', '40.24.0-8.n.1.2', '80.48.0.?', '104.24.0.?', '168.24.0.?', '208.48.0.?', '260.12.0.?', '336.48.0.?', '520.48.0.?', '840.48.0.?', '1040.96.0.?', '1680.96.0.?', '2184.48.0.?', '4368.96.0.?', '10920.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.9581875895962964601806836017', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 325], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2484388467335496460964133058', 'prec': 100}, 'szpiro_ratio': 5.14435090385509, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2697997
    {'Ciso': '436800jt', 'Clabel': '436800jt4', 'Cnumber': 4, 'abc_quality': 0.9518697497191672, 'absD': 336561039360000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -6136033, -5781308063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 436800, 'degree': 18874368, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7463049835105451428140250938', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 253, 'isogeny_degrees': [1, 2, 4], 'jinv': [6237734630203441, 82168222500], 'lmfdb_iso': '436800.jt', 'lmfdb_label': '436800.jt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3835, -91963], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '40.48.0-40.h.2.12', '104.48.0.?', '168.48.0.?', '260.24.0.?', '520.96.0.?', '840.96.0.?', '2184.96.0.?', '10920.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9790937947981482300903418008', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.90186525645357699138779724500', 'prec': 103}, 'szpiro_ratio': 4.504630088742137, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2697998
    {'Ciso': '436800jt', 'Clabel': '436800jt5', 'Cnumber': 5, 'abc_quality': 1.0265231881197245, 'absD': 100699580762726400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, -1, 0, -936033, -15271308063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 436800, 'degree': 37748736, 'elladic_images': ['8.24.0.94'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0928785737905177975226411546', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 253, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-22143063655441, 24584858584650], 'lmfdb_iso': '436800.jt', 'lmfdb_label': '436800.jt3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -585, -238863], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '40.48.0-40.ca.1.10', '104.48.0.?', '260.12.0.?', '336.48.0.?', '520.96.0.?', '1680.96.0.?', '4368.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4895468973990741150451709004', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 325], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2484388467335496460964133058', 'prec': 100}, 'szpiro_ratio': 4.652390568012105, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2697995
    {'Ciso': '436800jt', 'Clabel': '436800jt2', 'Cnumber': 2, 'abc_quality': 0.9370530267261244, 'absD': 20636304998400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -728033, 97187937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 436800, 'degree': 9437184, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3997313932305724881054090331', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 253, 'isogeny_degrees': [1, 2, 4], 'jinv': [10418796526321, 5038160400], 'lmfdb_iso': '436800.jt', 'lmfdb_label': '436800.jt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -455, 1325], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '40.48.0-40.h.1.10', '104.48.0.?', '168.48.0.?', '420.24.0.?', '520.96.0.?', '840.96.0.?', '2184.96.0.?', '10920.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4895468973990741150451709004', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.55529166617360433667918118430', 'prec': 103}, 'szpiro_ratio': 4.012241759904962, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2697994
    {'Ciso': '436800jt', 'Clabel': '436800jt1', 'Cnumber': 1, 'abc_quality': 0.907047640144071, 'absD': 18606981120000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, -1, 0, -600033, 178979937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 436800, 'degree': 4718592, 'elladic_images': ['16.24.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0531578029505998333967929724', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 253, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5832972054001, 4542720], 'lmfdb_iso': '436800.jt', 'lmfdb_label': '436800.jt5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -375, 2637], 'min_quad_twist_disc': 40, '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.1.2', '40.24.0-8.n.1.6', '80.48.0.?', '104.24.0.?', '168.24.0.?', '208.48.0.?', '210.6.0.?', '336.48.0.?', '420.12.0.?', '520.48.0.?', '840.48.0.?', '1040.96.0.?', '1680.96.0.?', '2184.48.0.?', '4368.96.0.?', '10920.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9790937947981482300903418008', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 525], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20871807589363168197056512360', 'prec': 103}, 'szpiro_ratio': 3.9675759732069023, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2697996
    {'Ciso': '436800jt', 'Clabel': '436800jt3', 'Cnumber': 3, 'abc_quality': 0.963432702798655, 'absD': 1403317873950720000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, -1, 0, 2631967, 738947937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 436800, 'degree': 18874368, 'elladic_images': ['8.24.0.93'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7463049835105451428140250938', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 253, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [492271755328079, 342606902820], 'lmfdb_iso': '436800.jt', 'lmfdb_label': '436800.jt6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1645, 12245], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '40.48.0-40.ca.2.6', '168.48.0.?', '208.48.0.?', '420.12.0.?', '840.96.0.?', '1040.96.0.?', '4368.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9790937947981482300903418008', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 525], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.90186525645357699138779724500', 'prec': 103}, 'szpiro_ratio': 4.3091040754468075, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}