Elliptic curve isogeny class data - 25200.en

Formats: - HTML - YAML - JSON - 2025-10-10T18:37:15.398848

• 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, 0, 0, 1, 0, 0, 0, -3, 0, -2, 0], 'aplist': [0, 0, 0, 1, 0, 1, -3, -2, 3, 3, 1, -2, -3, -7, 6, -9, -3, -1, 8, 0, 4, -8, 15, 6, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 25200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '25200.en', 'trace_hash': 121420626571045232}
• ec_padic •

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

  
  
  • id: 1199308
    {'lmfdb_iso': '25200.en', 'p': 13, 'prec': 20, 'unit': 15896660855943245635757, 'val': -1}
  • id: 1199310
    {'lmfdb_iso': '25200.en', 'p': 17, 'prec': 20, 'unit': 89392805191908738845260, 'val': 1}
  • id: 1199311
    {'lmfdb_iso': '25200.en', 'p': 19, 'prec': 20, 'unit': 977786515861024593493027, 'val': 1}
  • id: 1199315
    {'lmfdb_iso': '25200.en', 'p': 23, 'prec': 20, 'unit': 61815732648993476284546885, 'val': 1}
  • id: 1199307
    {'lmfdb_iso': '25200.en', 'p': 29, 'prec': 20, 'unit': 2834281382244729142051845209, 'val': 1}
  • id: 1199319
    {'lmfdb_iso': '25200.en', 'p': 31, 'prec': 20, 'unit': 457165866640148987415023479231, 'val': -1}
  • id: 1199304
    {'lmfdb_iso': '25200.en', 'p': 37, 'prec': 20, 'unit': 313710944630095314530738067638, 'val': 1}
  • id: 1199305
    {'lmfdb_iso': '25200.en', 'p': 41, 'prec': 20, 'unit': 1636222193278867502400486397166, 'val': 1}
  • id: 1199306
    {'lmfdb_iso': '25200.en', 'p': 43, 'prec': 20, 'unit': 8953639180149379841118787123133, 'val': 1}
  • id: 1199317
    {'lmfdb_iso': '25200.en', 'p': 47, 'prec': 20, 'unit': 28090186794352764808313159991481, 'val': 1}
  • id: 1199312
    {'lmfdb_iso': '25200.en', 'p': 53, 'prec': 20, 'unit': 527991844224796680401516179219747, 'val': 1}
  • id: 1199313
    {'lmfdb_iso': '25200.en', 'p': 59, 'prec': 20, 'unit': 472214221200904872966507010875862, 'val': 1}
  • id: 1199318
    {'lmfdb_iso': '25200.en', 'p': 61, 'prec': 20, 'unit': 7333934376280652024277029499775532, 'val': 1}
  • id: 1199303
    {'lmfdb_iso': '25200.en', 'p': 67, 'prec': 20, 'unit': 3934387025203018319614516359521301, 'val': 1}
  • id: 1199314
    {'lmfdb_iso': '25200.en', 'p': 73, 'prec': 20, 'unit': 201486074837869300256998874096230969, 'val': 1}
  • id: 1199309
    {'lmfdb_iso': '25200.en', 'p': 79, 'prec': 20, 'unit': 409284784382932187127047866954371061, 'val': 1}
  • id: 1199302
    {'lmfdb_iso': '25200.en', 'p': 83, 'prec': 20, 'unit': 407676834966095610115147844362889210, 'val': 1}
  • id: 1199316
    {'lmfdb_iso': '25200.en', 'p': 89, 'prec': 20, 'unit': 1016836463967546616351916098084513316, 'val': 1}
  • id: 1199301
    {'lmfdb_iso': '25200.en', 'p': 97, 'prec': 20, 'unit': 33387247266595438099056775096743320690, '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: 167187
    {'Ciso': '25200cv', 'Clabel': '25200cv1', 'Cnumber': 1, 'abc_quality': 0.909550933745772, 'absD': 154828800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 840, 'ainvs': [0, 0, 0, -915, -10670], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 25200, 'degree': 6912, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.46306750280176060939434645367', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 117, 'isogeny_degrees': [1, 3], 'jinv': [-30642435, 56], 'lmfdb_iso': '25200.en', 'lmfdb_label': '25200.en1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -57, 181], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.2', '168.8.0.?', '840.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6130565336404041167615867991', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 525], [3, 6, 2800], [5, 10, 1008], [7, 8, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77297240199756218530515686589', 'prec': 107}, 'szpiro_ratio': 3.1647554442598698, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 167188
    {'Ciso': '25200cv', 'Clabel': '25200cv2', 'Cnumber': 2, 'abc_quality': 0.8976142640226761, 'absD': 1382659891200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 840, 'ainvs': [0, 0, 0, 1485, -52110], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 25200, 'degree': 20736, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0123736471358154550919690721', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 117, 'isogeny_degrees': [1, 3], 'jinv': [179685, 686], 'lmfdb_iso': '25200.en', 'lmfdb_label': '25200.en2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 93, 791], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.1', '168.8.0.?', '840.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53768551121346803892052893305', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 525], [3, 2, 400], [5, 10, 1008], [7, 8, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77297240199756218530515686592', 'prec': 107}, 'szpiro_ratio': 3.4777270301723804, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}