Elliptic curve isogeny class data - 203840.da

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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, 0, 0, -3, 0, 4, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, 0, 4, -1, -2, 4, -8, 2, 4, -10, 6, 0, 8, -2, -12, -2, -4, -12, 2, 8, -4, -2, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 203840, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '203840.da', 'trace_hash': 2074644945375505854}
• lmfdb_iso 203840.da 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: 1306770
    {'Ciso': '203840bw', 'Clabel': '203840bw4', 'Cnumber': 4, 'abc_quality': 1.0218494599601673, 'absD': 153482061824000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 0, 0, -341950028, -2433767316848], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 203840, 'degree': 35389440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5396401432074226725908214356', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2, 4], 'jinv': [143378317900125424089, 4976562500000], 'lmfdb_iso': '203840.da', 'lmfdb_label': '203840.da1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -109040, -13831200], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '28.12.0-4.c.1.2', '40.12.0.y.1', '104.12.0.?', '280.24.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], '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': '43.153266570106970596030030497', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 637], [3, 2, 40768], [5, 6, 40768], [7, 32, 4160], [13, 14, 15680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5269642978398480559122968817', 'prec': 100}, 'szpiro_ratio': 5.772074052229172, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1306768
    {'Ciso': '203840bw', 'Clabel': '203840bw2', 'Cnumber': 2, 'abc_quality': 1.024072323663204, 'absD': 200229014286106624000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 0, 0, -22328908, -34435493232], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 203840, 'degree': 17694720, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1930665529274500178822053749', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2], 'jinv': [39920686684059609, 6492304000000], 'lmfdb_iso': '203840.da', 'lmfdb_label': '203840.da2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -7120, -194304], 'min_quad_twist_disc': 56, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '28.12.0-2.a.1.1', '40.12.0.b.1', '104.12.0.?', '260.12.0.?', '280.24.0.?', '520.24.0.?', '728.24.0.?', '1820.24.0.?', '3640.48.0.?'], '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': '21.576633285053485298015015249', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 2, 40768], [5, 6, 40768], [7, 32, 4160], [13, 14, 15680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1803907075598754012036808210', 'prec': 100}, 'szpiro_ratio': 5.102439153295914, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1306767
    {'Ciso': '203840bw', 'Clabel': '203840bw1', 'Cnumber': 1, 'abc_quality': 0.9692185652309827, 'absD': 2575001703346601984000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 0, 0, -6272588, 5531898512], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 203840, 'degree': 8847360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8464929626474773631735893142', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2, 4], 'jinv': [884984855328729, 83492864000], 'lmfdb_iso': '203840.da', 'lmfdb_label': '203840.da3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2000, 32000], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.y.1', '56.12.0-4.c.1.5', '104.12.0.?', '130.6.0.?', '260.12.0.?', '280.24.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], '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': '10.788316642526742649007507624', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3185], [3, 2, 40768], [5, 6, 40768], [7, 32, 4160], [13, 14, 15680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83381711727990274649506476029', 'prec': 103}, 'szpiro_ratio': 4.790860326752181, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1306769
    {'Ciso': '203840bw', 'Clabel': '203840bw3', 'Cnumber': 3, 'abc_quality': 1.050921871224009, 'absD': 20311681724464799678464000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 0, 0, 40391092, -193016741232], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 203840, 'degree': 35389440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5396401432074226725908214356', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2, 4], 'jinv': [236293804275620391, 658593925444000], 'lmfdb_iso': '203840.da', 'lmfdb_label': '203840.da4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 12880, -1102304], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '28.12.0-4.c.1.1', '40.12.0.s.1', '104.12.0.?', '280.24.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], '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': '43.153266570106970596030030497', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 245], [3, 2, 40768], [5, 6, 40768], [7, 32, 4160], [13, 14, 15680]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5269642978398480559122968817', 'prec': 100}, 'szpiro_ratio': 5.357443387034389, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}