Elliptic curve isogeny class data - 435600.si

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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, 0, 0, 4, 0, 0, 0, 0, 0, -6, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 0, 4, 0, -6, 2, -4, 8, 6, 0, 2, 2, 8, 0, -2, 4, 10, 12, -16, 6, 8, -16, -10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 435600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '435600.si', 'trace_hash': 290143192844463228}
• lmfdb_iso 435600.si 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: 2691113
    {'Ciso': '435600si', 'Clabel': '435600si3', 'Cnumber': 3, 'abc_quality': 1.07876989573691, 'absD': 1223056149523552278000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -858141075, 9528359805250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 435600, 'degree': 283115520, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9941511541412415321587892782', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 476, 'isogeny_degrees': [1, 2, 4], 'jinv': [3382175663521924, 59189241375], 'lmfdb_iso': '435600.si', 'lmfdb_label': '435600.si1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -31520, -2131632], 'min_quad_twist_disc': -660, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.5', '40.12.0.z.1', '60.12.0-4.c.1.1', '88.12.0.?', '120.24.0.?', '132.12.0.?', '220.12.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.707541850371784171954846297', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86355576672433013594878843626', 'prec': 103}, 'szpiro_ratio': 5.647083448630172, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2691112
    {'Ciso': '435600si', 'Clabel': '435600si2', 'Cnumber': 2, 'abc_quality': 1.0840443130940778, 'absD': 64079492668605562500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 660, 'ainvs': [0, 0, 0, -109453575, -214310632250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 435600, 'degree': 141557760, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6475775638612688774501732175', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 476, 'isogeny_degrees': [1, 2], 'jinv': [28071778927696, 12404390625], 'lmfdb_iso': '435600.si', 'lmfdb_label': '435600.si2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4020, 46368], 'min_quad_twist_disc': -660, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.2', '20.12.0.b.1', '44.12.0.b.1', '60.24.0-20.b.1.4', '132.24.0.?', '220.24.0.?', '660.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '27.415083700743568343909692595', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.63250670653768169947637772914', 'prec': 103}, 'szpiro_ratio': 5.171299726534273, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2691111
    {'Ciso': '435600si', 'Clabel': '435600si1', 'Cnumber': 1, 'abc_quality': 1.007096649724964, 'absD': 47861843289514031250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -92982450, -344943124625], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 435600, 'degree': 70778880, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3010039735812962227415571568', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 476, 'isogeny_degrees': [1, 2, 4], 'jinv': [275361373935616, 148240125], 'lmfdb_iso': '435600.si', 'lmfdb_label': '435600.si3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3415, 75650], 'min_quad_twist_disc': -660, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '10.6.0.a.1', '20.12.0.g.1', '24.12.0-4.c.1.5', '88.12.0.?', '120.24.0.?', '132.12.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '54.830167401487136687819385189', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51698217644435748124017237559', 'prec': 103}, 'szpiro_ratio': 5.133618650689457, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2691114
    {'Ciso': '435600si', 'Clabel': '435600si4', 'Cnumber': 4, 'abc_quality': 1.0113231141124994, 'absD': 4494913907730468750000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, 375695925, -1596501557750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 435600, 'degree': 283115520, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9941511541412415321587892782', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 476, 'isogeny_degrees': [1, 2, 4], 'jinv': [283811208976796, 217529296875], 'lmfdb_iso': '435600.si', 'lmfdb_label': '435600.si4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 13800, 360000], 'min_quad_twist_disc': -660, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '22.6.0.a.1', '24.12.0-4.c.1.5', '40.12.0.z.1', '44.12.0.g.1', '60.12.0-4.c.1.2', '120.24.0.?', '264.24.0.?', '440.24.0.?', '660.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.707541850371784171954846297', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 27225], [3, 8, 48400], [5, 18, 17424], [11, 72, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86355576672433013594878843626', 'prec': 103}, 'szpiro_ratio': 5.456242901160194, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}