Elliptic curve isogeny class data - 15600.cu

Formats: - HTML - YAML - JSON - 2025-10-17T04:16:04.198523

• 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, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 1, 0, 2, 0, -1, 0, -2, -6, 0, 4, -2, -6, -4, 0, 6, 0, -10, 8, 0, -8, -8, -12, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 15600, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '15600.cu', 'trace_hash': 1824906830230709942}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 702571
    {'lmfdb_iso': '15600.cu', 'p': 7, 'prec': 20, 'unit': 723234222709591, 'val': 2}
  • id: 702567
    {'lmfdb_iso': '15600.cu', 'p': 19, 'prec': 20, 'unit': 1794251840072366594550121, 'val': 1}
  • id: 702578
    {'lmfdb_iso': '15600.cu', 'p': 23, 'prec': 20, 'unit': 61761453672289170454941914, 'val': 1}
  • id: 702581
    {'lmfdb_iso': '15600.cu', 'p': 31, 'prec': 20, 'unit': 2799514572634771393619782037, 'val': 1}
  • id: 702570
    {'lmfdb_iso': '15600.cu', 'p': 37, 'prec': 20, 'unit': 225871136757934543042102538614, 'val': 1}
  • id: 702572
    {'lmfdb_iso': '15600.cu', 'p': 41, 'prec': 20, 'unit': 2432791650793039205993912503879, 'val': 1}
  • id: 702573
    {'lmfdb_iso': '15600.cu', 'p': 43, 'prec': 20, 'unit': 3397460800977052638704167025714, 'val': 1}
  • id: 702576
    {'lmfdb_iso': '15600.cu', 'p': 53, 'prec': 20, 'unit': 569301560495105840962127556852528, 'val': 1}
  • id: 702580
    {'lmfdb_iso': '15600.cu', 'p': 61, 'prec': 20, 'unit': 408129968538311774699863754495131, 'val': 1}
  • id: 702569
    {'lmfdb_iso': '15600.cu', 'p': 67, 'prec': 20, 'unit': 32900371185273150425476863537868717, 'val': 1}
  • id: 702577
    {'lmfdb_iso': '15600.cu', 'p': 73, 'prec': 20, 'unit': 240594120886471906920206125727725523, 'val': 1}
  • id: 702574
    {'lmfdb_iso': '15600.cu', 'p': 79, 'prec': 20, 'unit': 466579270020894072293508211045345412, 'val': 1}
  • id: 702575
    {'lmfdb_iso': '15600.cu', 'p': 83, 'prec': 20, 'unit': 1591738971476998810119103319946657040, 'val': 1}
  • id: 702579
    {'lmfdb_iso': '15600.cu', 'p': 89, 'prec': 20, 'unit': 5119762819757106152017519510742677317, 'val': 1}
  • id: 702568
    {'lmfdb_iso': '15600.cu', 'p': 97, 'prec': 20, 'unit': 1047269632813807440195189987358684426, 'val': 1}
• 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: 102627
    {'Ciso': '15600cc', 'Clabel': '15600cc4', 'Cnumber': 4, 'abc_quality': 0.9869421687813174, 'absD': 695060496000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -478408, 120723188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 15600, 'degree': 165888, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1776893492589508905735666567', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [189208196468929, 10860320250], 'lmfdb_iso': '15600.cu', 'lmfdb_label': '15600.cu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1196, -15210], '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', '24.24.0-6.a.1.4', '40.6.0.b.1', '60.24.0-6.a.1.2', '120.48.0.?', '156.24.0.?', '312.48.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8035088566386022687068045894', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 400], [5, 18, 624], [13, 14, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67982321248195539385595486863', 'prec': 103}, 'szpiro_ratio': 5.266506969216032, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 102625
    {'Ciso': '15600cc', 'Clabel': '15600cc2', 'Cnumber': 2, 'abc_quality': 0.9529644067700619, 'absD': 315394560000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -82408, -9092812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 15600, 'degree': 55296, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6283832049248960448759440382', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [967068262369, 4928040], 'lmfdb_iso': '15600.cu', 'lmfdb_label': '15600.cu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -206, 1116], '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', '24.24.0-6.a.1.12', '40.6.0.b.1', '60.24.0-6.a.1.4', '120.48.0.?', '156.24.0.?', '312.48.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.93450295221286742290226819646', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 5200], [5, 18, 624], [13, 14, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13051706814790054815833225013', 'prec': 103}, 'szpiro_ratio': 4.720021225323289, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 102624
    {'Ciso': '15600cc', 'Clabel': '15600cc1', 'Cnumber': 1, 'abc_quality': 1.0814038063027782, 'absD': 35942400000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -2408, -292812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 15600, 'degree': 27648, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2818096146449233901673279775', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-24137569, 561600], 'lmfdb_iso': '15600.cu', 'lmfdb_label': '15600.cu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6, 36], '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', '24.24.0-6.a.1.7', '40.6.0.c.1', '60.24.0-6.a.1.4', '78.24.0.?', '120.48.0.?', '312.48.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8690059044257348458045363929', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 975], [3, 4, 5200], [5, 18, 624], [13, 14, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21605652213207210655028381057', 'prec': 107}, 'szpiro_ratio': 4.0074699275065075, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 102626
    {'Ciso': '15600cc', 'Clabel': '15600cc3', 'Cnumber': 3, 'abc_quality': 1.0889768744744426, 'absD': 26364000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [0, 1, 0, 21592, 7723188], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 15600, 'degree': 82944, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8311157589789782358649505960', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [17394111071, 411937500], 'lmfdb_iso': '15600.cu', 'lmfdb_label': '15600.cu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 54, -960], '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', '24.24.0-6.a.1.15', '40.6.0.c.1', '60.24.0-6.a.1.2', '78.24.0.?', '120.48.0.?', '312.48.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6070177132772045374136091788', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 975], [3, 4, 400], [5, 18, 624], [13, 14, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33324962220198273914733880793', 'prec': 103}, 'szpiro_ratio': 4.685720736344911, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}