Elliptic curve isogeny class data - 1305.e

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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, -1, 0, -4, -3, 0, -1, 0, 0, 6, -4, 0, -1, -2, 0, 8, 1], 'aplist': [1, 0, -1, -4, 0, 6, -2, 8, 4, -1, 4, 6, -2, -4, 0, -6, 12, 6, -8, -16, -6, 12, 16, -2, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 1305, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '1305.e', 'trace_hash': 625988075615584827}
• lmfdb_iso 1305.e 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 7016
    {'Ciso': '1305c', 'Clabel': '1305c3', 'Cnumber': 3, 'abc_quality': 1.2333775605772643, 'absD': 951345, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 6960, 'ainvs': [1, -1, 0, -62640, 6049971], 'analytic_rank': 0, 'bad_primes': [3, 5, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1305, 'degree': 2560, 'elladic_images': ['16.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0934255766907937330569549530', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [37286818682653441, 1305], 'lmfdb_iso': '1305.e', 'lmfdb_label': '1305.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6960, -224073], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '12.12.0-4.c.1.1', '16.24.0-8.o.1.2', '24.24.0-8.o.1.6', '48.48.0-48.j.1.12', '290.6.0.?', '580.12.0.?', '1160.48.0.?', '1740.24.0.?', '2320.96.0.?', '3480.96.0.?', '6960.192.3.?'], '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': [[3, 8, 145], [5, 6, 261], [29, 30, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54411943235673888735933233454', 'prec': 103}, 'szpiro_ratio': 6.237712572339896, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 7015
    {'Ciso': '1305c', 'Clabel': '1305c2', 'Cnumber': 2, 'abc_quality': 1.0360458807700703, 'absD': 1241505225, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 3480, 'ainvs': [1, -1, 0, -3915, 95256], 'analytic_rank': 0, 'bad_primes': [3, 5, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1305, 'degree': 1280, 'elladic_images': ['8.24.0.34'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74685198641082107834833889223', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [9104453457841, 1703025], 'lmfdb_iso': '1305.e', 'lmfdb_label': '1305.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -435, -3528], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '8.24.0-4.a.1.2', '12.24.0-4.a.1.1', '24.48.0-24.j.1.4', '580.24.0.?', '1160.96.0.?', '1740.48.0.?', '3480.192.3.?'], '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, 2, 9], [3, 8, 145], [5, 6, 261], [29, 30, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.19754584207676623265071627377', 'prec': 103}, 'szpiro_ratio': 5.078292472426006, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 7017
    {'Ciso': '1305c', 'Clabel': '1305c4', 'Cnumber': 4, 'abc_quality': 0.9529824634176626, 'absD': 2900294150625, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 6960, 'ainvs': [1, -1, 0, -3510, 115425], 'analytic_rank': 0, 'bad_primes': [3, 5, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1305, 'degree': 2560, 'elladic_images': ['8.24.0.75'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0934255766907937330569549530', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [-6561258219361, 3978455625], 'lmfdb_iso': '1305.e', 'lmfdb_label': '1305.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -390, -4275], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0-4.d.1.4', '12.24.0-4.d.1.1', '24.48.0-24.z.1.2', '1160.48.0.?', '2320.96.0.?', '3480.96.1.?', '6960.192.3.?'], '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, 2, 9], [3, 8, 145], [5, 6, 261], [29, 30, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54411943235673888735933233454', 'prec': 103}, 'szpiro_ratio': 5.132540931664702, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 7014
    {'Ciso': '1305c', 'Clabel': '1305c1', 'Cnumber': 1, 'abc_quality': 0.888673554416319, 'absD': 693530505, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 6960, 'ainvs': [1, -1, 0, -270, 1215], 'analytic_rank': 0, 'bad_primes': [3, 5, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1305, 'degree': 640, 'elladic_images': ['16.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40027839613084842363972283150', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [2992209121, 951345], 'lmfdb_iso': '1305.e', 'lmfdb_label': '1305.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -30, -45], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '12.12.0-4.c.1.2', '16.24.0-8.o.1.2', '24.24.0-8.o.1.8', '48.48.0-48.j.1.4', '290.6.0.?', '580.12.0.?', '1160.48.0.?', '1740.24.0.?', '2320.96.0.?', '3480.96.0.?', '6960.192.3.?'], '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': [[3, 8, 145], [5, 6, 261], [29, 30, 45]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14902774820320642205789978696', 'prec': 107}, 'szpiro_ratio': 3.960289459971436, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}