Elliptic curve isogeny class data - 40656.x

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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, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0], 'aplist': [0, -1, 0, 1, 0, -2, 0, 2, 0, 6, -2, 2, 0, -4, 6, -6, 0, -2, 4, 12, 4, 8, 6, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 40656, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '40656.x', 'trace_hash': 1349493172254297015}
• lmfdb_iso 40656.x 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: 270493
    {'Ciso': '40656bq', 'Clabel': '40656bq4', 'Cnumber': 4, 'abc_quality': 1.0145637206421085, 'absD': 184076085000398266368, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -27361528, -55075219472], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 40656, 'degree': 1658880, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9336515351973852021200940982', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [312196988566716625, 25367712678], 'lmfdb_iso': '40656.x', 'lmfdb_label': '40656.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -14133, -647829], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.13', '28.6.0.c.1', '84.24.0.?', '88.6.0.?', '132.24.0.?', '168.48.0.?', '264.48.0.?', '616.12.0.?', '924.48.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 1936], [7, 8, 5808], [11, 72, 336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0415567182382546206718901878', 'prec': 100}, 'szpiro_ratio': 5.9349978269948815, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 270492
    {'Ciso': '40656bq', 'Clabel': '40656bq3', 'Cnumber': 3, 'abc_quality': 0.9815931506508574, 'absD': 158733572488195719168, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -1593368, -982698000], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 40656, 'degree': 829440, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5870779449174125474114780375', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-61653281712625, 21875235228], 'lmfdb_iso': '40656.x', 'lmfdb_label': '40656.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -823, -11611], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '14.6.0.b.1', '24.24.0-6.a.1.2', '42.24.0.b.1', '88.6.0.?', '132.24.0.?', '168.48.0.?', '264.48.0.?', '616.12.0.?', '924.48.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 847], [3, 4, 1936], [7, 8, 5808], [11, 72, 336]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69498312795828196596327412706', 'prec': 103}, 'szpiro_ratio': 5.17632712843355, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 270491
    {'Ciso': '40656bq', 'Clabel': '40656bq2', 'Cnumber': 2, 'abc_quality': 1.0370527187821414, 'absD': 16628377207673290752, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, -1, 0, -702808, 113976304], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 40656, 'degree': 552960, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3843453908633303564224714798', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5290763640625, 2291573592], 'lmfdb_iso': '40656.x', 'lmfdb_label': '40656.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -363, 1305], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.5', '28.6.0.c.1', '84.24.0.?', '88.6.0.?', '132.24.0.?', '168.48.0.?', '264.48.0.?', '616.12.0.?', '924.48.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 13552], [7, 8, 5808], [11, 72, 336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49225057390419977497426756936', 'prec': 103}, 'szpiro_ratio': 4.89989664967429, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 270490
    {'Ciso': '40656bq', 'Clabel': '40656bq1', 'Cnumber': 1, 'abc_quality': 0.9538999492637691, 'absD': 286752340637908992, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, -1, 0, 149032, 13118448], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 40656, 'degree': 276480, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0377718005833577017138554191', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [50447927375, 39517632], 'lmfdb_iso': '40656.x', 'lmfdb_label': '40656.x4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 77, 161], 'min_quad_twist_disc': 44, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '14.6.0.b.1', '24.24.0-6.a.1.10', '42.24.0.b.1', '88.6.0.?', '132.24.0.?', '168.48.0.?', '264.48.0.?', '616.12.0.?', '924.48.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 847], [3, 4, 13552], [7, 8, 5808], [11, 72, 336]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14567698362422712026565150866', 'prec': 103}, 'szpiro_ratio': 4.461489102348968, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}