Elliptic curve isogeny class data - 402930.q

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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, 0, -1, 0, 1, 0, 0, -2, 0, 0, 1, 6, 0, 4, -1], 'aplist': [-1, 0, -1, 0, 0, -2, 6, 4, 4, -6, 4, 1, 10, 4, 8, -6, 0, -10, -12, 0, 14, 0, 4, 14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 402930, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '402930.q', 'trace_hash': 1228486647711198778}
• lmfdb_iso 402930.q 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 2500788
    {'Ciso': '402930q', 'Clabel': '402930q4', 'Cnumber': 4, 'abc_quality': 0.977480926640406, 'absD': 7344227550140085844800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9768, 'ainvs': [1, -1, 0, -344055960, -2456268972800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 402930, 'degree': 82575360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4592496403278454850010486868', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [3487605307056720495001, 5686728379200], 'lmfdb_iso': '402930.q', 'lmfdb_label': '402930.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -315937, -68483339], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '74.6.0.?', '88.12.0.?', '132.12.0.?', '148.12.0.?', '264.24.0.?', '888.24.0.?', '3256.24.0.?', '4884.24.0.?', '9768.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7109958595946053672724542794', 'prec': 100}, 'szpiro_ratio': 5.468752064717462, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2500787
    {'Ciso': '402930q', 'Clabel': '402930q3', 'Cnumber': 3, 'abc_quality': 1.0061881111522966, 'absD': 5990536778116297275000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9768, 'ainvs': [1, -1, 0, -56211480, 111576021376], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 402930, 'degree': 82575360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4592496403278454850010486868', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [15209507008787085721, 4638548475000000], 'lmfdb_iso': '402930.q', 'lmfdb_label': '402930.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -51617, 3082869], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '44.12.0.h.1', '132.24.0.?', '296.12.0.?', '888.24.0.?', '3256.24.0.?', '9768.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7109958595946053672724542794', 'prec': 100}, 'szpiro_ratio': 5.047643143344113, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2500786
    {'Ciso': '402930q', 'Clabel': '402930q2', 'Cnumber': 2, 'abc_quality': 0.9431746417922149, 'absD': 44360603098489244160000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4884, 'ainvs': [1, -1, 0, -21711960, -37593003200], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 402930, 'degree': 41287680, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1126760500478728302924326261', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [876470240549871001, 34348976640000], 'lmfdb_iso': '402930.q', 'lmfdb_label': '402930.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19937, -1054539], 'min_quad_twist_disc': 33, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '44.12.0.a.1', '132.24.0.?', '148.12.0.?', '444.24.0.?', '1628.24.0.?', '4884.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3644222693146327125638382187', 'prec': 100}, 'szpiro_ratio': 4.826532136269874, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2500785
    {'Ciso': '402930q', 'Clabel': '402930q1', 'Cnumber': 1, 'abc_quality': 0.9513430512483326, 'absD': 1984177234959453388800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9768, 'ainvs': [1, -1, 0, 590760, -2136138944], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 402930, 'degree': 20643840, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7661024597679001755838165653', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [17655210697319, 1536373555200], 'lmfdb_iso': '402930.q', 'lmfdb_label': '402930.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 543, -59211], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '88.12.0.?', '264.24.0.?', '296.12.0.?', '814.6.0.?', '888.24.0.?', '1628.12.0.?', '3256.24.0.?', '4884.24.0.?', '9768.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0178486790346600578552221579', 'prec': 100}, 'szpiro_ratio': 4.376667533556085, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}