Elliptic curve isogeny class data - 303450.bc

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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, 0, 1, 1, -1, 1, 0, -4, -1, 2, -1, 0, 1, 0, -1, 4, 0], 'aplist': [-1, -1, 0, 1, -4, 2, 0, 4, 8, -6, 0, -2, -10, 4, 0, -6, -4, -6, 12, 8, -6, 0, 12, -6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 303450, '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': '303450.bc', 'trace_hash': 491839761309427564}
• lmfdb_iso 303450.bc 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: 1909725
    {'Ciso': '303450bc', 'Clabel': '303450bc6', 'Cnumber': 6, 'abc_quality': 1.0624727966937526, 'absD': 6766452385344405657910125000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1360, 'ainvs': [1, 1, 0, -99116914050, -12010780810048500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 303450, 'degree': 1132462080, 'elladic_images': ['8.48.0.217'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.8004545975681759899599540967', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [285531136548675601769470657, 17941034271597192], 'lmfdb_iso': '303450.bc', 'lmfdb_label': '303450.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13718604, -19563199515], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.p.1', '80.96.0.?', '272.96.1.?', '340.12.0.?', '680.96.0.?', '1360.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [3, 4, 50575], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071211', 'prec': 100}, 'szpiro_ratio': 6.93753419899966, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1909723
    {'Ciso': '303450bc', 'Clabel': '303450bc4', 'Cnumber': 4, 'abc_quality': 1.07814467781823, 'absD': 208363406655762036427329000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 680, 'ainvs': [1, 1, 0, -6206593050, -186920449267500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 303450, 'degree': 566231040, 'elladic_images': ['8.48.0.96'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4538810072882033352513380360', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [70108386184777836280897, 552468975892674624], 'lmfdb_iso': '303450.bc', 'lmfdb_label': '303450.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -859044, -304722459], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.f.1', '40.96.0-8.f.1.2', '136.96.1.?', '340.24.0.?', '680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [3, 4, 50575], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910605', 'prec': 100}, 'szpiro_ratio': 6.279047128221979, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1909724
    {'Ciso': '303450bc', 'Clabel': '303450bc5', 'Cnumber': 5, 'abc_quality': 1.0817271650752718, 'absD': 79173093645577037501580646125000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1360, 'ainvs': [1, 1, 0, -2114064050, -429734287366500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 303450, 'degree': 1132462080, 'elladic_images': ['16.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.8004545975681759899599540967', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-2770540998624539614657, 209924951154647363208], 'lmfdb_iso': '303450.bc', 'lmfdb_label': '303450.bc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -292604, -699871003], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.k.1', '16.48.0.e.1', '40.48.0-8.k.1.5', '80.96.0.?', '136.48.0.?', '272.96.1.?', '340.12.0.?', '680.96.0.?', '1360.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [3, 4, 50575], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071211', 'prec': 100}, 'szpiro_ratio': 6.409862668726407, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1909721
    {'Ciso': '303450bc', 'Clabel': '303450bc2', 'Cnumber': 2, 'abc_quality': 1.0972067382550121, 'absD': 16885957928153104332864000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 680, 'ainvs': [1, 1, 0, -655481050, 1623069812500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 303450, 'degree': 283115520, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1073074170082306805427219752', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4], 'jinv': [82582985847542515777, 44772582831427584], 'lmfdb_iso': '303450.bc', 'lmfdb_label': '303450.bc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -90724, 2605541], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '20.24.0-4.b.1.2', '40.96.0-8.i.1.5', '68.24.0.c.1', '136.96.1.?', '340.48.0.?', '680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [3, 4, 50575], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8859817887630724531175749997', 'prec': 100}, 'szpiro_ratio': 5.744783568844627, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1909720
    {'Ciso': '303450bc', 'Clabel': '303450bc1', 'Cnumber': 1, 'abc_quality': 1.0214246831520672, 'absD': 20919897414359580672000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1360, 'ainvs': [1, 1, 0, -507513050, 4394954356500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 303450, 'degree': 141557760, 'elladic_images': ['16.48.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7607338267282580258341059145', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [38331145780597164097, 55468445663232], 'lmfdb_iso': '303450.bc', 'lmfdb_label': '303450.bc5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70244, 7127525], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0.z.1', '20.12.0-4.c.1.2', '34.6.0.a.1', '40.48.0-8.bb.1.2', '68.12.0.g.1', '80.96.0.?', '136.48.0.?', '272.96.1.?', '340.24.0.?', '680.96.0.?', '1360.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [3, 4, 50575], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5394081984830997984089589390', 'prec': 100}, 'szpiro_ratio': 5.683978482896629, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1909722
    {'Ciso': '303450bc', 'Clabel': '303450bc3', 'Cnumber': 3, 'abc_quality': 1.06742381122777, 'absD': 1104577287016327886837313000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1360, 'ainvs': [1, 1, 0, 2528142950, 12768937436500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 303450, 'degree': 566231040, 'elladic_images': ['16.48.0.120'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.4538810072882033352513380360', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4738217997934888496063, 2928751705237796928], 'lmfdb_iso': '303450.bc', 'lmfdb_label': '303450.bc6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 349916, 20936165], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.z.2', '20.12.0-4.c.1.1', '40.48.0-8.bb.2.6', '68.12.0.h.1', '80.96.0.?', '136.48.0.?', '272.96.1.?', '340.24.0.?', '680.96.0.?', '1360.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [3, 4, 50575], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910605', 'prec': 100}, 'szpiro_ratio': 6.065596502221487, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}