Elliptic curve isogeny class data - 348480.i

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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, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, 0, -1, -4, 0, -4, -6, -2, 0, 0, 4, 10, 0, 4, 12, 6, -12, -10, -4, 0, -8, -10, -6, 6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 348480, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '348480.i', 'trace_hash': 1027724446457072212}
• lmfdb_iso 348480.i 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: 2178783
    {'Ciso': '348480i', 'Clabel': '348480i4', 'Cnumber': 4, 'abc_quality': 0.963342172697873, 'absD': 14056945377052317696000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -6779388, 3690660688], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 348480, 'degree': 26542080, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9474351678566001803616723055', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1628514404944, 664335375], 'lmfdb_iso': '348480.i', 'lmfdb_label': '348480.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1556, -13356], 'min_quad_twist_disc': -264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.7', '44.6.0.c.1', '60.24.0.r.1', '120.48.0.?', '132.24.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], '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': False, 'serre_invariants': [[2, 2, 5445], [3, 8, 7744], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39050967647009053497964042302', 'prec': 103}, 'szpiro_ratio': 4.607808669618968, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2178781
    {'Ciso': '348480i', 'Clabel': '348480i2', 'Cnumber': 2, 'abc_quality': 0.9214349789031259, 'absD': 345638982018908160, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -3120348, -2121358448], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 348480, 'degree': 8847360, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3981290235225453346640496871', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [158792223184, 16335], 'lmfdb_iso': '348480.i', 'lmfdb_label': '348480.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -716, 7140], 'min_quad_twist_disc': -264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.15', '44.6.0.c.1', '60.24.0.r.1', '120.48.0.?', '132.24.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], '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': False, 'serre_invariants': [[2, 2, 5445], [3, 2, 38720], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15879646786396431071798219538', 'prec': 107}, 'szpiro_ratio': 4.4253961954604595, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2178780
    {'Ciso': '348480i', 'Clabel': '348480i1', 'Cnumber': 1, 'abc_quality': 0.9402381290121617, 'absD': 265120810071321600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -180048, -38449928], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 348480, 'degree': 4423680, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0515554332425726799554336263', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-488095744, 200475], 'lmfdb_iso': '348480.i', 'lmfdb_label': '348480.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -41, 120], 'min_quad_twist_disc': -264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '22.6.0.a.1', '24.24.0-6.a.1.4', '60.24.0.s.1', '66.24.0.a.1', '120.48.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 2, 38720], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27432099795728852895418754902', 'prec': 107}, 'szpiro_ratio': 3.796850098573168, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2178782
    {'Ciso': '348480i', 'Clabel': '348480i3', 'Cnumber': 3, 'abc_quality': 1.0221529257865163, 'absD': 247527916810416000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, 1388112, 420393688], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 348480, 'degree': 13271040, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6008615775766275256530562448', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [223673040896, 187171875], 'lmfdb_iso': '348480.i', 'lmfdb_label': '348480.i4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 319, -1356], 'min_quad_twist_disc': -264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '22.6.0.a.1', '24.24.0-6.a.1.12', '60.24.0.s.1', '66.24.0.a.1', '120.48.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], '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': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 7744], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27498514637676631674343506947', 'prec': 103}, 'szpiro_ratio': 4.234977266896435, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}