Elliptic curve isogeny class data - 327600.gt

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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, 1, 0, 0, 0, -6, 0, -1, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 0, 1, -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': 327600, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '327600.gt', 'trace_hash': 288023471375242239}
• lmfdb_iso 327600.gt 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: 2054409
    {'Ciso': '327600gt', 'Clabel': '327600gt4', 'Cnumber': 4, 'abc_quality': 0.9700760822949506, 'absD': 1926650142144000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -57570075, -154297149750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 327600, 'degree': 47775744, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3989861549981082879536596259', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 175, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16751080718799363, 1529437000000], 'lmfdb_iso': '327600.gt', 'lmfdb_label': '327600.gt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -143925, 19323125], 'min_quad_twist_disc': -20, '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.1.2', '84.24.0.?', '156.24.0.?', '390.24.0.?', '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': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3009037549653247026052423327', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 975], [3, 2, 5200], [5, 18, 13104], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0771608017200305226896139101', 'prec': 100}, 'szpiro_ratio': 5.135548144755373, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2054407
    {'Ciso': '327600gt', 'Clabel': '327600gt2', 'Cnumber': 2, 'abc_quality': 0.9987797276243877, 'absD': 18602438400000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -56244075, -162354107750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 327600, 'degree': 15925248, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8496800106640534422560370075', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 175, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [11387025941627437947, 10765300], 'lmfdb_iso': '327600.gt', 'lmfdb_label': '327600.gt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -140610, 20329416], 'min_quad_twist_disc': -20, '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.1.4', '84.24.0.?', '156.24.0.?', '390.24.0.?', '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': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.902711264895974107815726998', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 975], [3, 6, 2800], [5, 18, 13104], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0771608017200305226896139102', 'prec': 100}, 'szpiro_ratio': 5.1300434926005725, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2054408
    {'Ciso': '327600gt', 'Clabel': '327600gt3', 'Cnumber': 3, 'abc_quality': 0.9792530327887911, 'absD': 37387123458048000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -12642075, 14587202250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 327600, 'degree': 23887872, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0524125647181356332450435652', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 175, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [177381177331203, 29679104000], 'lmfdb_iso': '327600.gt', 'lmfdb_label': '327600.gt3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -31605, -1815499], 'min_quad_twist_disc': -20, '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.1.2', '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': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6504518774826623513026211664', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 525], [3, 2, 5200], [5, 18, 13104], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058721144005786798099784944', 'prec': 103}, 'szpiro_ratio': 4.777431708762981, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2054406
    {'Ciso': '327600gt', 'Clabel': '327600gt1', 'Cnumber': 1, 'abc_quality': 0.9896845589755124, 'absD': 4670806533120000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -3516075, -2535539750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 327600, 'degree': 7962624, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5031064203840807875474209467', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 175, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2781982314427707, 2703013040], 'lmfdb_iso': '327600.gt', 'lmfdb_label': '327600.gt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -8790, 319140], 'min_quad_twist_disc': -20, '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.1.4', '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': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.9513556324479870539078634991', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 525], [3, 6, 2800], [5, 18, 13104], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058721144005786798099784940', 'prec': 103}, 'szpiro_ratio': 4.475133116150444, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}