Elliptic curve isogeny class data - 2880.y

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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, 1, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 1, 0, -4, 2, -2, -4, 0, -2, 0, 10, -10, -4, -8, -10, -4, 2, -12, 8, 10, 0, 12, 6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 2880, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '2880.y', 'trace_hash': 950788514021811556}
• ec_padic •

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

  
  
  • id: 92646
    {'lmfdb_iso': '2880.y', 'p': 11, 'prec': 20, 'unit': 26445994331136664634, 'val': 1}
  • id: 92652
    {'lmfdb_iso': '2880.y', 'p': 13, 'prec': 20, 'unit': 282673134574380944778, 'val': 1}
  • id: 92654
    {'lmfdb_iso': '2880.y', 'p': 17, 'prec': 20, 'unit': 195624716209877277778212, 'val': 1}
  • id: 92655
    {'lmfdb_iso': '2880.y', 'p': 19, 'prec': 20, 'unit': 55896391741427728739058, 'val': 2}
  • id: 92651
    {'lmfdb_iso': '2880.y', 'p': 29, 'prec': 20, 'unit': 1560400036264906479118902914, 'val': 1}
  • id: 92647
    {'lmfdb_iso': '2880.y', 'p': 37, 'prec': 20, 'unit': 449437668443131800752433700033, 'val': 1}
  • id: 92649
    {'lmfdb_iso': '2880.y', 'p': 41, 'prec': 20, 'unit': 3002947798572829923103869914957, 'val': 1}
  • id: 92650
    {'lmfdb_iso': '2880.y', 'p': 43, 'prec': 20, 'unit': 9778867401317178782592664329501, 'val': 1}
  • id: 92653
    {'lmfdb_iso': '2880.y', 'p': 47, 'prec': 20, 'unit': 44273451941904801649276558325913, 'val': 1}
  • id: 92656
    {'lmfdb_iso': '2880.y', 'p': 53, 'prec': 20, 'unit': 118414918631326429865831485035091, 'val': 1}
  • id: 92660
    {'lmfdb_iso': '2880.y', 'p': 59, 'prec': 20, 'unit': 4081639455160047118312628959741711, 'val': 1}
  • id: 92661
    {'lmfdb_iso': '2880.y', 'p': 61, 'prec': 20, 'unit': 1876623758706441933718986821756874, 'val': 1}
  • id: 92645
    {'lmfdb_iso': '2880.y', 'p': 67, 'prec': 20, 'unit': 7503147126504697630873571100570863, 'val': 1}
  • id: 92648
    {'lmfdb_iso': '2880.y', 'p': 71, 'prec': 20, 'unit': 23139538460673563356704045062552265, 'val': 1}
  • id: 92657
    {'lmfdb_iso': '2880.y', 'p': 73, 'prec': 20, 'unit': 19608127028691217945284622861248039, 'val': 1}
  • id: 92658
    {'lmfdb_iso': '2880.y', 'p': 83, 'prec': 20, 'unit': 921451446474506161076115687808889500, 'val': 1}
  • id: 92659
    {'lmfdb_iso': '2880.y', 'p': 89, 'prec': 20, 'unit': 9776133519065647437964955093499955266, 'val': 1}
  • id: 92644
    {'lmfdb_iso': '2880.y', 'p': 97, 'prec': 20, 'unit': 55104323577837202794508573774072838121, '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: 17095
    {'Ciso': '2880r', 'Clabel': '2880r7', 'Cnumber': 7, 'abc_quality': 1.0735374703334082, 'absD': 77396705280, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -1244172, 534156784], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 16384, 'elladic_images': ['32.96.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8798965236510743317971064249', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '2880.y', 'lmfdb_label': '2880.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '10.6.0.a.1', '16.48.0.x.2', '20.12.0.g.1', '24.48.0-8.bb.2.1', '32.96.0-16.x.2.3', '40.48.0.bj.1', '48.96.0-16.x.2.1', '80.192.1.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2981963524006796608475714304', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562425', 'prec': 103}, 'szpiro_ratio': 6.743486049855663, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 17093
    {'Ciso': '2880r', 'Clabel': '2880r5', 'Cnumber': 5, 'abc_quality': 1.038972011651739, 'absD': 31345665638400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, 0, 0, -77772, 8343664], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 8192, 'elladic_images': ['16.96.0.55'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5333229333711016770884903642', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [272223782641, 164025], 'lmfdb_iso': '2880.y', 'lmfdb_label': '2880.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -135, -660], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.k.1', '16.96.0-8.k.1.1', '20.24.0.c.1', '24.96.0-8.k.1.4', '40.96.1.cc.2', '48.192.1-48.e.2.5', '80.384.5.?', '120.192.1.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6490981762003398304237857152', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436448', 'prec': 110}, 'szpiro_ratio': 5.699322521047606, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 17096
    {'Ciso': '2880r', 'Clabel': '2880r8', 'Cnumber': 8, 'abc_quality': 1.0594919023465201, 'absD': 41131782450708480, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -63372, 11528944], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 16384, 'elladic_images': ['32.96.0.66'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8798965236510743317971064249', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-147281603041, 215233605], 'lmfdb_iso': '2880.y', 'lmfdb_label': '2880.y3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -110, -880], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '16.48.0.u.2', '20.12.0.h.1', '24.48.0-8.ba.2.2', '32.96.0-16.u.2.3', '40.48.0.bm.2', '48.96.0-16.u.2.2', '80.192.5.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2981963524006796608475714304', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562425', 'prec': 103}, 'szpiro_ratio': 5.780380981649382, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 17091
    {'Ciso': '2880r', 'Clabel': '2880r3', 'Cnumber': 3, 'abc_quality': 1.030187200332639, 'absD': 2866544640, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -46092, -3808784], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 4096, 'elladic_images': ['32.96.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1867493430911290223798743035', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [56667352321, 15], 'lmfdb_iso': '2880.y', 'lmfdb_label': '2880.y4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 242], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.7', '16.48.0-16.g.1.8', '24.48.0-24.by.2.13', '32.96.0-32.e.1.7', '40.48.0-40.cb.2.15', '48.96.0-48.bs.1.15', '60.12.0.h.1', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2981963524006796608475714304', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649715', 'prec': 107}, 'szpiro_ratio': 5.5022956889446615, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 17092
    {'Ciso': '2880r', 'Clabel': '2880r4', 'Cnumber': 4, 'abc_quality': 1.0253374473912513, 'absD': 9674588160000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, 0, 0, -5772, 78064], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 4096, 'elladic_images': ['8.96.0.69'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1867493430911290223798743035', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4], 'jinv': [111284641, 50625], 'lmfdb_iso': '2880.y', 'lmfdb_label': '2880.y5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -10, -10], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.96.0-8.b.2.5', '24.192.1-24.n.1.2', '40.192.1-40.s.1.10', '80.384.5.?', '120.384.5.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3245490881001699152118928576', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40227757208284378744359649715', 'prec': 107}, 'szpiro_ratio': 4.719817926750241, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 17090
    {'Ciso': '2880r', 'Clabel': '2880r2', 'Cnumber': 2, 'abc_quality': 0.9622954410890624, 'absD': 42998169600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 240, 'ainvs': [0, 0, 0, -2892, -59024], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 2048, 'elladic_images': ['16.96.0.49'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84017575281115636767125824275', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13997521, 225], 'lmfdb_iso': '2880.y', 'lmfdb_label': '2880.y6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5, 2], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.i.1.8', '16.96.0-16.d.2.1', '24.96.0-24.bb.2.8', '40.96.0-40.bd.1.11', '48.192.1-48.n.1.2', '60.24.0.c.1', '80.384.5.?', '120.192.1.?', '240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6490981762003398304237857152', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74885116236281644215221255790', 'prec': 107}, 'szpiro_ratio': 4.459545608826552, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 17089
    {'Ciso': '2880r', 'Clabel': '2880r1', 'Cnumber': 1, 'abc_quality': 1.1980768440515948, 'absD': 2866544640, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, -12, -2576], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 1024, 'elladic_images': ['32.96.0.83'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49360216253118371296264218202', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-1, 15], 'lmfdb_iso': '2880.y', 'lmfdb_label': '2880.y7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 0, 0], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '16.48.0-16.g.1.4', '24.48.0-24.bz.1.13', '30.6.0.a.1', '32.96.0-32.e.1.3', '40.48.0-40.cb.2.11', '48.96.0-48.bv.1.13', '60.12.0.g.1', '80.192.2.?', '96.192.1.?', '120.96.0.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3245490881001699152118928576', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 8, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0954247526427890968608286186', 'prec': 103}, 'szpiro_ratio': 3.6696961235977814, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 17094
    {'Ciso': '2880r', 'Clabel': '2880r6', 'Cnumber': 6, 'abc_quality': 1.0558519748642754, 'absD': 671846400000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 480, 'ainvs': [0, 0, 0, 20148, 586096], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 2880, 'degree': 8192, 'elladic_images': ['8.96.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5333229333711016770884903642', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4733169839, 3515625], 'lmfdb_iso': '2880.y', 'lmfdb_label': '2880.y8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 35, -28], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.2', '8.96.0-8.n.2.3', '24.192.1-24.cv.2.8', '80.192.1.?', '160.384.5.?', '240.384.5.?', '480.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.66227454405008495760594642881', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 320], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.055703981802871132734980436448', 'prec': 110}, 'szpiro_ratio': 5.190628008305233, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}