Elliptic curve isogeny class data - 303450.k

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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, 0, -1, 6, 1, 0, 1, 0, -1, 0, 0], 'aplist': [-1, -1, 0, -1, 0, 6, 0, 0, -8, 6, 8, 10, 6, -12, 0, 10, -8, -6, -12, 0, -6, 8, -16, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 303450, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '303450.k', 'trace_hash': 800912784229206392}
• lmfdb_iso 303450.k 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: 1909687
    {'Ciso': '303450k', 'Clabel': '303450k3', 'Cnumber': 3, 'abc_quality': 0.9901853459055785, 'absD': 2355703029358875000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4760, 'ainvs': [1, 1, 0, -36695925, 85545487125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 303450, 'degree': 28311552, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8678754987178202909522191363', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [14489843500598257, 6246072], 'lmfdb_iso': '303450.k', 'lmfdb_label': '303450.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5079, 137205], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '140.12.0.?', '280.24.0.?', '680.24.0.?', '952.24.0.?', '4760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.8761283889266588527392357546', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 50575], [3, 4, 50575], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64654987047266206352707216075', 'prec': 103}, 'szpiro_ratio': 5.059674633316377, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1909688
    {'Ciso': '303450k', 'Clabel': '303450k4', 'Cnumber': 4, 'abc_quality': 0.9768930744324698, 'absD': 5445451524350305125000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4760, 'ainvs': [1, 1, 0, -4905925, -2212830875], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 303450, 'degree': 28311552, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8678754987178202909522191363', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [34623662831857, 14438442312], 'lmfdb_iso': '303450.k', 'lmfdb_label': '303450.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -679, -3883], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '280.24.0.?', '340.12.0.?', '680.24.0.?', '952.24.0.?', '4760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.8761283889266588527392357546', 'prec': 100}, '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': '0.64654987047266206352707216075', 'prec': 103}, 'szpiro_ratio': 4.5814460650533615, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1909686
    {'Ciso': '303450k', 'Clabel': '303450k2', 'Cnumber': 2, 'abc_quality': 0.9433928943374144, 'absD': 27686781283329000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4760, 'ainvs': [1, 1, 0, -2304925, 1321928125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 303450, 'degree': 14155776, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5213019084378476362436030756', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [3590714269297, 73410624], 'lmfdb_iso': '303450.k', 'lmfdb_label': '303450.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -319, 2021], 'min_quad_twist_disc': 85, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '140.12.0.?', '280.24.0.?', '340.12.0.?', '476.12.0.?', '680.24.0.?', '952.24.0.?', '2380.24.0.?', '4760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9380641944633294263696178773', 'prec': 100}, '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': '0.29997628019268940881845610005', 'prec': 103}, 'szpiro_ratio': 4.401917331399788, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1909685
    {'Ciso': '303450k', 'Clabel': '303450k1', 'Cnumber': 1, 'abc_quality': 1.043742789407918, 'absD': 1654485529536000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4760, 'ainvs': [1, 1, 0, 7075, 61888125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 303450, 'degree': 7077888, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1747283181578749815349870148', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [103823, 4386816], 'lmfdb_iso': '303450.k', 'lmfdb_label': '303450.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1, 101], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '140.12.0.?', '238.6.0.?', '280.24.0.?', '340.12.0.?', '476.12.0.?', '680.24.0.?', '952.24.0.?', '2380.24.0.?', '4760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4690320972316647131848089386', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 50575], [3, 4, 50575], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.046597310087283245890159960749', 'prec': 110}, 'szpiro_ratio': 3.9138744437853497, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}