Elliptic curve isogeny class data - 20.a

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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, -2, 0, -1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, -6, 0, -4, 0], 'aplist': [0, -2, -1, 2, 0, 2, -6, -4, 6, 6, -4, 2, 6, -10, -6, -6, 12, 2, 2, -12, 2, 8, 6, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 20, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '20.a', 'trace_hash': 12896406231020588}
• lmfdb_iso 20.a 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: 27
    {'Ciso': '20a', 'Clabel': '20a4', 'Cnumber': 4, 'abc_quality': 1.073761143790618, 'absD': 2000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -41, -116], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 20, 'degree': 6, 'elladic_images': ['8.12.0.22', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.38064395118146512547640346211', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [488095744, 125], 'lmfdb_iso': '20.a', 'lmfdb_label': '20.a1', 'lmfdb_number': 1, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 1, 0, -41, -116], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.b.1', '6.24.0-6.a.1.2', '8.12.0-4.b.1.2', '10.6.0.a.1', '12.48.0-12.f.1.6', '20.24.0.e.1', '24.96.0-24.bq.2.3', '30.48.0-30.a.1.2', '40.48.0-20.e.1.6', '60.192.3-60.bk.1.6', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [3, 2, 4], [5, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61169301136811356194881416926', 'prec': 107}, 'szpiro_ratio': 7.6036871066956255, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 26
    {'Ciso': '20a', 'Clabel': '20a3', 'Cnumber': 3, 'abc_quality': 0.9589363178944194, 'absD': 4000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -36, -140], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 20, 'degree': 3, 'elladic_images': ['8.12.0.37', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.034070360901492470767787401385', 'prec': 110}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-20720464, 15625], 'lmfdb_iso': '20.a', 'lmfdb_label': '20.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -36, -140], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.a.1', '6.24.0-6.a.1.2', '8.12.0-4.a.1.1', '12.48.0-12.d.1.5', '20.12.0.d.1', '24.96.0-24.bh.2.16', '40.48.0-40.bc.1.1', '60.96.1-60.h.1.12', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 2, 4], [5, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49616848127478934371260881569', 'prec': 107}, 'szpiro_ratio': 7.753045399967751, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 25
    {'Ciso': '20a', 'Clabel': '20a2', 'Cnumber': 2, 'abc_quality': 0.9562146657916117, 'absD': 80, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -1, 0], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 20, 'degree': 2, 'elladic_images': ['8.12.0.22', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.92995009551551997117402608057', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16384, 5], 'lmfdb_iso': '20.a', 'lmfdb_label': '20.a3', 'lmfdb_number': 3, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, 1, 0, -1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.b.1', '6.24.0-6.a.1.4', '8.12.0-4.b.1.2', '10.6.0.a.1', '12.48.0-12.f.1.8', '20.24.0.e.1', '24.96.0-24.bq.1.2', '30.48.0-30.a.1.4', '40.48.0-20.e.1.6', '60.192.3-60.bk.1.8', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [5, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1609991557021684076464367877', 'prec': 103}, 'szpiro_ratio': 4.164807836875665, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 24
    {'Ciso': '20a', 'Clabel': '20a1', 'Cnumber': 1, 'abc_quality': 0.8396384887826309, 'absD': 6400, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, 4, 4], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 20, 'degree': 1, 'elladic_images': ['8.12.0.37', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.58337650523554731646541001985', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21296, 25], 'lmfdb_iso': '20.a', 'lmfdb_label': '20.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 4], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.a.1', '6.24.0-6.a.1.4', '8.12.0-4.a.1.1', '12.48.0-12.d.1.11', '20.12.0.d.1', '24.96.0-24.bh.1.8', '40.48.0-40.bc.1.1', '60.96.1-60.h.1.7', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 4]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0454746256088441894102314342', 'prec': 103}, 'szpiro_ratio': 5.18724658047375, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}