Elliptic curve isogeny class data - 1694.e

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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, 1, -2, 1, 0, -2, -1, 1, 1, 0, 0, -2, 4, -1, 0, 1, -6, 1, -2, 0], 'aplist': [1, -2, 0, -1, 0, 4, -6, -2, 0, 6, -4, 2, -6, -8, -12, 6, -6, -8, -4, 0, -2, -8, 6, -6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 1694, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '1694.e', 'trace_hash': 2247578083762146412}
• ec_padic •

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

  
  
  • id: 46691
    {'lmfdb_iso': '1694.e', 'p': 13, 'prec': 20, 'unit': 105898426721130192619, 'val': 1}
  • id: 46693
    {'lmfdb_iso': '1694.e', 'p': 17, 'prec': 20, 'unit': 231929144814762946066278, 'val': 1}
  • id: 46694
    {'lmfdb_iso': '1694.e', 'p': 19, 'prec': 20, 'unit': 35505556246686322247601, 'val': 2}
  • id: 46690
    {'lmfdb_iso': '1694.e', 'p': 29, 'prec': 20, 'unit': 4870879903328811682356064428, 'val': 1}
  • id: 46701
    {'lmfdb_iso': '1694.e', 'p': 31, 'prec': 20, 'unit': 21520923167555804278885719942, 'val': 1}
  • id: 46687
    {'lmfdb_iso': '1694.e', 'p': 37, 'prec': 20, 'unit': 273224145942635340144896541845, 'val': 1}
  • id: 46688
    {'lmfdb_iso': '1694.e', 'p': 41, 'prec': 20, 'unit': 2359883043272849762307047401714, 'val': 1}
  • id: 46689
    {'lmfdb_iso': '1694.e', 'p': 43, 'prec': 20, 'unit': 6881455500023729403984903881635, 'val': 1}
  • id: 46699
    {'lmfdb_iso': '1694.e', 'p': 47, 'prec': 20, 'unit': 36018152038025786098542925990563, 'val': 1}
  • id: 46695
    {'lmfdb_iso': '1694.e', 'p': 53, 'prec': 20, 'unit': 69279119903799718274345587591428, 'val': 1}
  • id: 46696
    {'lmfdb_iso': '1694.e', 'p': 59, 'prec': 20, 'unit': 198193843830817372891844295850696, 'val': 1}
  • id: 46700
    {'lmfdb_iso': '1694.e', 'p': 61, 'prec': 20, 'unit': 6109473882155979380522515250745350, 'val': 1}
  • id: 46686
    {'lmfdb_iso': '1694.e', 'p': 67, 'prec': 20, 'unit': 10580777450679191427779369432313492, 'val': 1}
  • id: 46697
    {'lmfdb_iso': '1694.e', 'p': 73, 'prec': 20, 'unit': 247891272205539239113566628449964389, 'val': 1}
  • id: 46692
    {'lmfdb_iso': '1694.e', 'p': 79, 'prec': 20, 'unit': 54427993981528232313749396866566287, 'val': 1}
  • id: 46685
    {'lmfdb_iso': '1694.e', 'p': 83, 'prec': 20, 'unit': 787393689445737862905894207964555192, 'val': 1}
  • id: 46698
    {'lmfdb_iso': '1694.e', 'p': 89, 'prec': 20, 'unit': 6205822749895243675455385452504023481, 'val': 1}
  • id: 46684
    {'lmfdb_iso': '1694.e', 'p': 97, 'prec': 20, 'unit': 48506406891033633117572143378244342400, '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: 9406
    {'Ciso': '1694f', 'Clabel': '1694f6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 44444922368, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 0, 0, -330393, 73068601], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 1694, 'degree': 8640, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6120486168222697296117541438', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '1694.e', 'lmfdb_label': '1694.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '33.8.0-3.a.1.1', '56.12.0.k.1', '63.36.0.d.1', '66.24.0-6.a.1.1', '72.72.1.?', '84.24.0.?', '99.24.0.?', '126.108.2.?', '168.48.1.?', '198.72.0.?', '252.216.7.?', '264.48.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '924.48.0.?', '1386.216.2.?', '1848.96.1.?', '2772.432.7.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.42085986783102885090028999408', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 2, 847], [7, 8, 242], [11, 62, 14]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235482', 'prec': 103}, 'szpiro_ratio': 6.689809725577691, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 9405
    {'Ciso': '1694f', 'Clabel': '1694f5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 3250828607488, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 0, 0, -20633, 1142329], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 1694, 'degree': 4320, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2654750265422970749031380831', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '1694.e', 'lmfdb_label': '1694.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '33.8.0-3.a.1.1', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.1', '66.24.0-6.a.1.1', '72.72.1.?', '99.24.0.?', '126.216.7.?', '168.48.1.?', '198.72.0.?', '264.48.0.?', '462.48.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '1386.432.7.?', '1848.96.1.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.21042993391551442545014499704', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 847], [3, 2, 847], [7, 8, 242], [11, 62, 14]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294117', 'prec': 107}, 'szpiro_ratio': 5.571507820935084, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 9404
    {'Ciso': '1694f', 'Clabel': '1694f4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 1667379040712, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 0, 0, -4298, 88540], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 1694, 'degree': 2880, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0627424724882148839141315254', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '1694.e', 'lmfdb_label': '1694.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.b.1', '24.72.1.h.1', '28.6.0.c.1', '33.24.0-3.a.1.1', '56.12.0.k.1', '63.36.0.a.1', '66.72.0-6.a.1.1', '84.72.1.?', '126.108.2.?', '168.144.5.?', '252.216.7.?', '264.144.1.?', '504.432.21.?', '693.72.0.?', '924.144.1.?', '1386.216.2.?', '1848.288.5.?', '2772.432.7.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2625796034930865527008699822', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 2, 121], [7, 8, 242], [11, 62, 14]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026358', 'prec': 107}, 'szpiro_ratio': 4.937738259358302, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 9402
    {'Ciso': '1694f', 'Clabel': '1694f2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 173612978, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 0, 0, -1273, -17577], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 1694, 'degree': 960, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51343632815416003821650890690', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '1694.e', 'lmfdb_label': '1694.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '33.8.0-3.a.1.2', '56.12.0.k.1', '63.36.0.d.2', '66.24.0-6.a.1.2', '72.72.1.?', '84.24.0.?', '99.24.0.?', '126.108.2.?', '168.48.1.?', '198.72.0.?', '252.216.7.?', '264.48.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '924.48.0.?', '1386.216.2.?', '1848.96.1.?', '2772.432.7.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7877388104792596581026099467', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [7, 8, 242], [11, 62, 14]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288208', 'prec': 107}, 'szpiro_ratio': 4.4467684449661435, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 9401
    {'Ciso': '1694f', 'Clabel': '1694f1', 'Cnumber': 1, 'abc_quality': 1.0171207213859017, 'absD': 49603708, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 0, 0, -63, -395], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 1694, 'degree': 480, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.16686273787418738350789284617', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '1694.e', 'lmfdb_label': '1694.e5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '33.8.0-3.a.1.2', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.2', '66.24.0-6.a.1.2', '72.72.1.?', '99.24.0.?', '126.216.7.?', '168.48.1.?', '198.72.0.?', '264.48.0.?', '462.48.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '1386.432.7.?', '1848.96.1.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8938694052396298290513049733', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 847], [7, 8, 242], [11, 62, 14]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 103}, 'szpiro_ratio': 3.4236276305141558, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 9403
    {'Ciso': '1694f', 'Clabel': '1694f3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 38889307072, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 0, 0, 542, 8196], 'analytic_rank': 1, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 1694, 'degree': 1440, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71616888220824222920551546463', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '1694.e', 'lmfdb_label': '1694.e6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '33.24.0-3.a.1.1', '42.72.1.d.1', '56.12.0.n.1', '63.36.0.a.1', '66.72.0-6.a.1.1', '126.216.7.?', '168.144.5.?', '264.144.1.?', '462.144.1.?', '504.432.21.?', '693.72.0.?', '1386.432.7.?', '1848.288.5.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.63128980174654327635043499111', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 847], [3, 2, 121], [7, 8, 242], [11, 62, 14]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'szpiro_ratio': 4.2414985823363995, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}