Elliptic curve isogeny class data - 6300.y

Formats: - HTML - YAML - JSON - 2026-04-16T03:06:03.504334

• 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, 4, 0, 0, 0, -4, 0, 4, 0], 'aplist': [0, 0, 0, 1, 0, 4, -4, 4, -8, -2, -8, -8, -6, 8, -8, 0, 4, -6, 8, -12, -4, -4, 0, 10, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 6300, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6300.y', 'trace_hash': 949217298502289871}
• ec_padic •

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

  
  
  • id: 246488
    {'lmfdb_iso': '6300.y', 'p': 13, 'prec': 20, 'unit': 29732215974879373496, 'val': 1}
  • id: 246490
    {'lmfdb_iso': '6300.y', 'p': 17, 'prec': 20, 'unit': 214073309320032380743800, 'val': 1}
  • id: 246491
    {'lmfdb_iso': '6300.y', 'p': 19, 'prec': 20, 'unit': 1201312294028299212036887, 'val': 1}
  • id: 246494
    {'lmfdb_iso': '6300.y', 'p': 23, 'prec': 20, 'unit': 51173585802935476949197790, 'val': 1}
  • id: 246487
    {'lmfdb_iso': '6300.y', 'p': 29, 'prec': 20, 'unit': 363663990090642962654730525, 'val': 1}
  • id: 246498
    {'lmfdb_iso': '6300.y', 'p': 31, 'prec': 20, 'unit': 11002737955258186956165304676, 'val': 1}
  • id: 246483
    {'lmfdb_iso': '6300.y', 'p': 37, 'prec': 20, 'unit': 353376535469347689467366671641, 'val': 1}
  • id: 246485
    {'lmfdb_iso': '6300.y', 'p': 41, 'prec': 20, 'unit': 1838243880119339769814158638302, 'val': 1}
  • id: 246486
    {'lmfdb_iso': '6300.y', 'p': 43, 'prec': 20, 'unit': 6465237536538081806922983411765, 'val': 1}
  • id: 246496
    {'lmfdb_iso': '6300.y', 'p': 47, 'prec': 20, 'unit': 16440285878895556078956144778228, 'val': 1}
  • id: 246492
    {'lmfdb_iso': '6300.y', 'p': 59, 'prec': 20, 'unit': 3835701544561231328933870927172983, 'val': 1}
  • id: 246497
    {'lmfdb_iso': '6300.y', 'p': 61, 'prec': 20, 'unit': 1410258042147322660477785971486487, 'val': 1}
  • id: 246482
    {'lmfdb_iso': '6300.y', 'p': 67, 'prec': 20, 'unit': 32547146591020463815038650580896721, 'val': 1}
  • id: 246484
    {'lmfdb_iso': '6300.y', 'p': 71, 'prec': 20, 'unit': 67812445096854269277952450777935361, 'val': 1}
  • id: 246493
    {'lmfdb_iso': '6300.y', 'p': 73, 'prec': 20, 'unit': 226902695375825590411682816885577820, 'val': 1}
  • id: 246489
    {'lmfdb_iso': '6300.y', 'p': 79, 'prec': 20, 'unit': 833564223973200533686258862382277818, 'val': 1}
  • id: 246495
    {'lmfdb_iso': '6300.y', 'p': 89, 'prec': 20, 'unit': 8597849476547788501488783492847647748, 'val': 1}
  • id: 246481
    {'lmfdb_iso': '6300.y', 'p': 97, 'prec': 20, 'unit': 26102744286407098511635173242590968460, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 39728
    {'Ciso': '6300z', 'Clabel': '6300z1', 'Cnumber': 1, 'abc_quality': 1.2529447405021057, 'absD': 71442000, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 560, 'ainvs': [0, 0, 0, -720, 7425], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6300, 'degree': 2304, 'elladic_images': ['16.24.0.37'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40098077552576604449943445703', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [28311552, 49], 'lmfdb_iso': '6300.y', 'lmfdb_label': '6300.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -80, -275], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.v.1', '10.6.0.a.1', '16.24.0.m.2', '20.12.0.k.1', '28.12.0.m.1', '40.24.0.cr.1', '56.24.0.ec.1', '80.48.0.?', '112.48.1.?', '140.24.0.?', '280.48.1.?', '560.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.36460842698000925897991737459', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 6, 700], [5, 10, 252], [7, 8, 900]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78173390710346233132078870189', 'prec': 107}, 'szpiro_ratio': 3.5837064417346767, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 39729
    {'Ciso': '6300z', 'Clabel': '6300z2', 'Cnumber': 2, 'abc_quality': 1.2007386141796184, 'absD': 56010528000, 'adelic_genus': 3, 'adelic_index': 96, 'adelic_level': 560, 'ainvs': [0, 0, 0, -495, 12150], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6300, 'degree': 4608, 'elladic_images': ['16.24.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74755436580573869920805051775', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [-574992, 2401], 'lmfdb_iso': '6300.y', 'lmfdb_label': '6300.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -55, -450], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.s.1', '16.24.0.l.1', '20.12.0.l.1', '40.24.0.cu.1', '56.24.0.ds.1', '80.48.0.?', '112.48.1.?', '280.48.1.?', '560.96.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.18230421349000462948995868729', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 6, 700], [5, 10, 252], [7, 8, 900]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66620937701013811308458334832', 'prec': 107}, 'szpiro_ratio': 3.6959519311439415, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}