Elliptic curve isogeny class data - 458640.hn

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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, 0, 0, 0, 0, -6, 0, -1, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, 1, 0, -6, -1, 0, -4, 0, 0, -4, -4, 6, 10, 6, -6, 0, 10, 4, 6, -2, 4, 6, 6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 458640, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '458640.hn', 'trace_hash': 734720154387379784}
• lmfdb_iso 458640.hn 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: 2823781
    {'Ciso': '458640hn', 'Clabel': '458640hn4', 'Cnumber': 4, 'abc_quality': 0.9700760822949506, 'absD': 14506781604678365184000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -112837347, 423391378914], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 458640, 'degree': 95551488, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5672222733087147532059563310', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16751080718799363, 1529437000000], 'lmfdb_iso': '458640.hn', 'lmfdb_label': '458640.hn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -143925, 19323125], 'min_quad_twist_disc': 28, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '60.24.0-6.a.1.12', '84.24.0.?', '156.24.0.?', '420.48.0.?', '546.24.0.?', '780.48.0.?', '1092.48.0.?', '1820.6.0.?', '5460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1911], [3, 2, 10192], [5, 6, 91728], [7, 32, 9360], [13, 14, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0771608017200305226896139101', 'prec': 100}, 'szpiro_ratio': 5.157860478567973, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2823779
    {'Ciso': '458640hn', 'Clabel': '458640hn2', 'Cnumber': 2, 'abc_quality': 0.9987797276243877, 'absD': 140067729620582400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -110238387, 445499671666], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 458640, 'degree': 31850496, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0179161289746599075083337126', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [11387025941627437947, 10765300], 'lmfdb_iso': '458640.hn', 'lmfdb_label': '458640.hn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -140610, 20329416], 'min_quad_twist_disc': 28, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '60.24.0-6.a.1.8', '84.24.0.?', '156.24.0.?', '420.48.0.?', '546.24.0.?', '780.48.0.?', '1092.48.0.?', '1820.6.0.?', '5460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1911], [3, 6, 3920], [5, 6, 91728], [7, 32, 9360], [13, 14, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0771608017200305226896139102', 'prec': 100}, 'szpiro_ratio': 5.152497906779655, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2823780
    {'Ciso': '458640hn', 'Clabel': '458640hn3', 'Cnumber': 3, 'abc_quality': 0.9792530327887911, 'absD': 281507692013816905728000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -24778467, -40027282974], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 458640, 'degree': 47775744, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2206486830287420984973402703', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [177381177331203, 29679104000], 'lmfdb_iso': '458640.hn', 'lmfdb_label': '458640.hn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -31605, -1815499], 'min_quad_twist_disc': 28, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '60.24.0-6.a.1.1', '84.24.0.?', '156.24.0.?', '210.24.0.?', '420.48.0.?', '780.48.0.?', '1092.48.0.?', '1820.6.0.?', '5460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 735], [3, 2, 10192], [5, 6, 91728], [7, 32, 9360], [13, 14, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058721144005786798099784943', 'prec': 103}, 'szpiro_ratio': 4.808987372224494, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2823778
    {'Ciso': '458640hn', 'Clabel': '458640hn1', 'Cnumber': 1, 'abc_quality': 0.9896845589755124, 'absD': 35169005940162232320, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -6891507, 6957521074], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 458640, 'degree': 15925248, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6713425386946872527997176518', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2781982314427707, 2703013040], 'lmfdb_iso': '458640.hn', 'lmfdb_label': '458640.hn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -8790, 319140], 'min_quad_twist_disc': 28, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '60.24.0-6.a.1.3', '84.24.0.?', '156.24.0.?', '210.24.0.?', '420.48.0.?', '780.48.0.?', '1092.48.0.?', '1820.6.0.?', '5460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 735], [3, 6, 3920], [5, 6, 91728], [7, 32, 9360], [13, 14, 35280]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058721144005786798099784939', 'prec': 103}, 'szpiro_ratio': 4.514491397037704, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}