Elliptic curve isogeny class data - 306.b

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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, 0, 1, 2, 0, 0, -1, 0, -2, 4, 0, -2, 0, 0, 1, -1, 0, 4, 2], 'aplist': [-1, 0, 2, 0, 4, -2, -1, 4, 0, 10, 8, -2, -10, 12, 0, -6, -12, -10, -12, 0, 10, -8, -4, 6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 306, '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': '306.b', 'trace_hash': 1871933457616851804}
• lmfdb_iso 306.b 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: 1202
    {'Ciso': '306c', 'Clabel': '306c5', 'Cnumber': 5, 'abc_quality': 1.0608330168932623, 'absD': 3792258, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [1, -1, 0, -249696, 48087270], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 306, 'degree': 1024, 'elladic_images': ['16.48.0.213'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3963844299755270999354496751', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2361739090258884097, 5202], 'lmfdb_iso': '306.b', 'lmfdb_label': '306.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -27744, -1781010], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.r.1', '12.12.0-4.c.1.1', '16.48.0.l.2', '24.48.0-8.r.1.6', '48.96.0-16.l.2.3', '136.48.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 34], [17, 18, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705664', 'prec': 103}, 'szpiro_ratio': 8.54317753387332, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1200
    {'Ciso': '306c', 'Clabel': '306c3', 'Cnumber': 3, 'abc_quality': 1.0315574162602832, 'absD': 19727326116, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [1, -1, 0, -15606, 754272], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 306, 'degree': 512, 'elladic_images': ['8.48.0.137'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0498108396955544452268336144', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [576615941610337, 27060804], 'lmfdb_iso': '306.b', 'lmfdb_label': '306.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1734, -27936], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.e.1', '12.24.0-4.b.1.1', '24.96.0-8.e.1.1', '136.96.1.?', '408.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 34], [17, 18, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099594', 'prec': 103}, 'szpiro_ratio': 7.0899393575058935, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1203
    {'Ciso': '306c', 'Clabel': '306c6', 'Cnumber': 6, 'abc_quality': 1.036242441540377, 'absD': 91535889140802, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [1, -1, 0, -14796, 835434], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 306, 'degree': 1024, 'elladic_images': ['8.48.0.224'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3963844299755270999354496751', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-491411892194497, 125563633938], 'lmfdb_iso': '306.b', 'lmfdb_label': '306.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1644, -30942], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.m.2', '12.12.0-4.c.1.1', '24.96.0-8.m.2.1', '272.96.1.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 34], [17, 18, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84707828564147225423782705664', 'prec': 103}, 'szpiro_ratio': 7.125898026301298, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1199
    {'Ciso': '306c', 'Clabel': '306c2', 'Cnumber': 2, 'abc_quality': 1.07570813760169, 'absD': 22116448656, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 408, 'ainvs': [1, -1, 0, -1026, 10692], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 306, 'degree': 256, 'elladic_images': ['8.48.0.89'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70323724941558179051821755369', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [163936758817, 30338064], 'lmfdb_iso': '306.b', 'lmfdb_label': '306.b4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -114, -396], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.h.2', '12.24.0-4.b.1.3', '24.96.0-8.h.2.3', '68.24.0.c.1', '136.96.1.?', '204.48.0.?', '408.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 34], [17, 18, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15393110508152694482059493523', 'prec': 103}, 'szpiro_ratio': 5.663307127971851, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1198
    {'Ciso': '306c', 'Clabel': '306c1', 'Cnumber': 1, 'abc_quality': 1.051915192059638, 'absD': 256981248, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [1, -1, 0, -306, -1836], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 306, 'degree': 128, 'elladic_images': ['16.48.0.101'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.35666365913560913580960149296', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4354703137, 352512], 'lmfdb_iso': '306.b', 'lmfdb_label': '306.b5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34, 68], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '12.12.0-4.c.1.2', '16.48.0.bb.1', '24.48.0-8.bb.1.2', '34.6.0.a.1', '48.96.0-16.bb.1.1', '68.12.0.g.1', '136.48.0.?', '204.24.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 153], [3, 8, 34], [17, 18, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19264248519844570988802112550', 'prec': 107}, 'szpiro_ratio': 5.02939949317793, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1201
    {'Ciso': '306c', 'Clabel': '306c4', 'Cnumber': 4, 'abc_quality': 1.0301007930420596, 'absD': 2133912053412, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 816, 'ainvs': [1, -1, 0, 2034, 60264], 'analytic_rank': 0, 'bad_primes': [2, 3, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 306, 'degree': 512, 'elladic_images': ['16.48.0.132'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0498108396955544452268336144', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1276229915423, 2927177028], 'lmfdb_iso': '306.b', 'lmfdb_label': '306.b6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 226, -2232], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '12.12.0-4.c.1.2', '16.48.0.y.2', '24.48.0-8.ba.2.6', '48.96.0-16.y.2.5', '68.12.0.h.1', '136.48.0.?', '204.24.0.?', '272.96.1.?', '408.96.0.?', '816.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 153], [3, 8, 34], [17, 18, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50050469536149959952921099594', 'prec': 103}, 'szpiro_ratio': 6.211653920033552, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}