Elliptic curve isogeny class data - 798.d

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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, 6, 1, -4, -1, 0, 1, 0, -1, 1, 0], 'aplist': [-1, 1, 0, 1, 6, -4, 0, 1, 6, 6, -4, 2, -6, 8, 12, 6, -12, -10, 14, -12, 2, -10, 12, 18, 8], 'class_deg': 18, 'class_size': 6, 'conductor': 798, 'isogeny_matrix': [[1, 2, 3, 6, 9, 18], [2, 1, 6, 3, 18, 9], [3, 6, 1, 2, 3, 6], [6, 3, 2, 1, 6, 3], [9, 18, 3, 6, 1, 2], [18, 9, 6, 3, 2, 1]], 'lmfdb_iso': '798.d', 'trace_hash': 239145602203650507}
• lmfdb_iso 798.d 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: 3876
    {'Ciso': '798e', 'Clabel': '798e6', 'Cnumber': 6, 'abc_quality': 1.0583334848509944, 'absD': 5961940992, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 4788, 'ainvs': [1, 0, 1, -9786711, -11785100294], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 798, 'degree': 20736, 'elladic_images': ['2.3.0.1', '9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2622332359999320061080933435', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [103665426767620308239307625, 5961940992], 'lmfdb_iso': '798.d', 'lmfdb_label': '798.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -9786711, -11785100294], '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', '6.24.0-6.a.1.2', '9.24.0-9.a.1.1', '18.72.0-18.a.1.2', '28.6.0.a.1', '84.48.0.?', '228.48.0.?', '252.144.1.?', '684.144.1.?', '1197.72.0.?', '1596.96.1.?', '2394.216.2.?', '4788.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 7], [3, 4, 133], [7, 8, 114], [19, 20, 42]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2622332359999320061080933435', 'prec': 100}, 'szpiro_ratio': 8.964716753887759, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3875
    {'Ciso': '798e', 'Clabel': '798e5', 'Cnumber': 5, 'abc_quality': 1.0385639997055625, 'absD': 191933498523648, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 4788, 'ainvs': [1, 0, 1, -611671, -184179718], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 798, 'degree': 10368, 'elladic_images': ['2.3.0.1', '9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9156596457199593513994772828', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [25309080274342544331625, 191933498523648], 'lmfdb_iso': '798.d', 'lmfdb_label': '798.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -611671, -184179718], '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', '6.24.0-6.a.1.2', '9.24.0-9.a.1.1', '18.72.0-18.a.1.2', '28.6.0.b.1', '84.48.0.?', '114.48.0.?', '252.144.1.?', '342.144.1.?', '1197.72.0.?', '1596.96.1.?', '2394.432.7.?', '4788.864.21.?'], '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': True, 'serre_invariants': [[2, 4, 57], [3, 4, 133], [7, 8, 114], [19, 20, 42]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9156596457199593513994772828', 'prec': 100}, 'szpiro_ratio': 7.7199359208303315, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3874
    {'Ciso': '798e', 'Clabel': '798e4', 'Cnumber': 4, 'abc_quality': 1.0242979660857512, 'absD': 752875610010048, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 4788, 'ainvs': [1, 0, 1, -120936, -16143626], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 798, 'degree': 6912, 'elladic_images': ['2.3.0.1', '3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7129270916658771604104707251', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [195607431345044517625, 752875610010048], 'lmfdb_iso': '798.d', 'lmfdb_label': '798.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -120936, -16143626], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3Cs.1.1'], 'modm_images': ['2.3.0.a.1', '3.24.0-3.a.1.1', '6.72.0-6.a.1.1', '28.6.0.a.1', '84.144.1.?', '228.144.1.?', '1197.72.0.?', '1596.288.5.?', '2394.216.2.?', '4788.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 7], [3, 4, 1], [7, 8, 114], [19, 20, 42]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7129270916658771604104707251', 'prec': 100}, 'szpiro_ratio': 6.992200252651515, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 3873
    {'Ciso': '798e', 'Clabel': '798e3', 'Cnumber': 3, 'abc_quality': 1.1447961981888821, 'absD': 89242711068672, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 4788, 'ainvs': [1, 0, 1, -11176, 13046], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 798, 'degree': 3456, 'elladic_images': ['2.3.0.1', '3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3663535013859045057018546643', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154357248921765625, 89242711068672], 'lmfdb_iso': '798.d', 'lmfdb_label': '798.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11176, 13046], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3Cs.1.1'], 'modm_images': ['2.3.0.a.1', '3.24.0-3.a.1.1', '6.72.0-6.a.1.1', '28.6.0.b.1', '84.144.1.?', '114.144.1.?', '1197.72.0.?', '1596.288.5.?', '2394.432.7.?', '4788.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 57], [3, 4, 1], [7, 8, 114], [19, 20, 42]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3663535013859045057018546643', 'prec': 100}, 'szpiro_ratio': 5.92298756174729, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 3872
    {'Ciso': '798e', 'Clabel': '798e2', 'Cnumber': 2, 'abc_quality': 0.9950582420479482, 'absD': 3916046302812, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 4788, 'ainvs': [1, 0, 1, -7941, 254500], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 798, 'degree': 2304, 'elladic_images': ['2.3.0.1', '9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1636209473318223147128481066', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [55369510069623625, 3916046302812], 'lmfdb_iso': '798.d', 'lmfdb_label': '798.d5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7941, 254500], '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', '6.24.0-6.a.1.4', '9.24.0-9.a.1.2', '18.72.0-18.a.1.1', '28.6.0.a.1', '84.48.0.?', '228.48.0.?', '252.144.1.?', '684.144.1.?', '1197.72.0.?', '1596.96.1.?', '2394.216.2.?', '4788.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 7], [3, 4, 266], [7, 8, 114], [19, 20, 42]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1636209473318223147128481066', 'prec': 100}, 'szpiro_ratio': 5.769556856965748, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
  • id: 3871
    {'Ciso': '798e', 'Clabel': '798e1', 'Cnumber': 1, 'abc_quality': 1.0361697824095453, 'absD': 293197968, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 4788, 'ainvs': [1, 0, 1, -7801, 264524], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 798, 'degree': 1152, 'elladic_images': ['2.3.0.1', '9.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81704735705184966000423204587', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [52492168638015625, 293197968], 'lmfdb_iso': '798.d', 'lmfdb_label': '798.d6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7801, 264524], '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', '6.24.0-6.a.1.4', '9.24.0-9.a.1.2', '18.72.0-18.a.1.1', '28.6.0.b.1', '84.48.0.?', '114.48.0.?', '252.144.1.?', '342.144.1.?', '1197.72.0.?', '1596.96.1.?', '2394.432.7.?', '4788.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 57], [3, 4, 266], [7, 8, 114], [19, 20, 42]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81704735705184966000423204587', 'prec': 103}, 'szpiro_ratio': 5.761570591545743, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}