Elliptic curve isogeny class data - 254320.ba

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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, 0, 0, -1, 0, 4, 0, -3, 0, -1, 0, 6, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, -1, 4, -1, 6, 0, -4, 4, 2, 8, 10, -10, 0, -4, -10, 4, 2, 8, 0, 14, -16, 8, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 254320, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '254320.ba', 'trace_hash': 1999508283498064547}
• lmfdb_iso 254320.ba 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: 1614827
    {'Ciso': '254320ba', 'Clabel': '254320ba3', 'Cnumber': 3, 'abc_quality': 1.1395461376610276, 'absD': 662285091955236992000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 14960, 'ainvs': [0, 0, 0, -2181083, 63800218], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 254320, 'degree': 10616832, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6847126361929659114144865764', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4], 'jinv': [46424454082884, 26794860125], 'lmfdb_iso': '254320.ba', 'lmfdb_label': '254320.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -7547, -12986], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '20.12.0.g.1', '40.48.0.bq.1', '68.12.0-4.c.1.2', '136.24.0.?', '176.24.0.?', '340.24.0.?', '680.96.0.?', '880.96.3.?', '2992.48.0.?', '14960.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.650833112589784532277357442', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1445], [3, 2, 50864], [5, 6, 50864], [11, 12, 23120], [17, 146, 880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69048331369823678010869249958', 'prec': 103}, 'szpiro_ratio': 4.451072449759962, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1614826
    {'Ciso': '254320ba', 'Clabel': '254320ba2', 'Cnumber': 2, 'abc_quality': 1.1409576977936815, 'absD': 1413592590916000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 7480, 'ainvs': [0, 0, 0, -1458583, -675606282], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 254320, 'degree': 5308416, 'elladic_images': ['4.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3381390459129932567058705157', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [55537159171536, 228765625], 'lmfdb_iso': '254320.ba', 'lmfdb_label': '254320.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -5047, 137514], 'min_quad_twist_disc': -68, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '20.24.0.b.1', '40.48.0.g.1', '68.24.0-4.a.1.1', '88.24.0.?', '340.48.0.?', '440.96.3.?', '680.96.0.?', '1496.48.0.?', '7480.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '33.301666225179569064554714884', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 289], [3, 2, 50864], [5, 6, 50864], [11, 12, 23120], [17, 146, 880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45943425351158834363628179246', 'prec': 103}, 'szpiro_ratio': 4.354090723066076, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1614825
    {'Ciso': '254320ba', 'Clabel': '254320ba1', 'Cnumber': 1, 'abc_quality': 1.058821720855416, 'absD': 5841291698000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 14960, 'ainvs': [0, 0, 0, -1457138, -677016313], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 254320, 'degree': 2654208, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9915654556330206019972544550', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4], 'jinv': [885956203616256, 15125], 'lmfdb_iso': '254320.ba', 'lmfdb_label': '254320.ba3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -5042, 137801], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '20.12.0.g.1', '40.48.0.bq.2', '68.12.0-4.c.1.1', '136.24.0.?', '176.24.0.?', '340.24.0.?', '680.96.0.?', '880.96.3.?', '2992.48.0.?', '14960.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '66.603332450359138129109429767', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1445], [3, 2, 50864], [5, 6, 50864], [11, 12, 23120], [17, 146, 880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34390972341826412540007643891', 'prec': 103}, 'szpiro_ratio': 4.353851814782706, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1614828
    {'Ciso': '254320ba', 'Clabel': '254320ba4', 'Cnumber': 4, 'abc_quality': 1.1038914936992343, 'absD': 730161462250000000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 14960, 'ainvs': [0, 0, 0, -759203, -1324770798], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 254320, 'degree': 10616832, 'elladic_images': ['4.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6847126361929659114144865764', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4], 'jinv': [-1957960715364, 29541015625], 'lmfdb_iso': '254320.ba', 'lmfdb_label': '254320.ba4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -2627, 269646], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '40.24.0.w.1', '44.24.0.d.1', '68.24.0-4.d.1.1', '80.48.0.?', '440.48.1.?', '680.48.0.?', '748.48.0.?', '880.96.3.?', '1360.96.0.?', '7480.96.1.?', '14960.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.650833112589784532277357442', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 289], [3, 2, 50864], [5, 6, 50864], [11, 12, 23120], [17, 146, 880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69048331369823678010869249958', 'prec': 103}, 'szpiro_ratio': 4.461722705956328, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}