Elliptic curve isogeny class data - 62400.cw

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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, -1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, -1, 0, 0, 4, 1, -2, -4, 8, 2, 8, 6, -6, 4, -8, 6, -12, 2, 4, 0, 6, -16, 4, 10, -18], 'class_deg': 16, 'class_size': 8, 'conductor': 62400, 'isogeny_matrix': [[1, 2, 4, 4, 8, 16, 16, 8], [2, 1, 2, 2, 4, 8, 8, 4], [4, 2, 1, 4, 8, 16, 16, 8], [4, 2, 4, 1, 2, 4, 4, 2], [8, 4, 8, 2, 1, 2, 2, 4], [16, 8, 16, 4, 2, 1, 4, 8], [16, 8, 16, 4, 2, 4, 1, 8], [8, 4, 8, 2, 4, 8, 8, 1]], 'lmfdb_iso': '62400.cw', 'trace_hash': 1524160972509679839}
• ec_padic •

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

  
  
  • id: 3174637
    {'lmfdb_iso': '62400.cw', 'p': 11, 'prec': 20, 'unit': 48362711504598918864, 'val': 1}
  • id: 3174638
    {'lmfdb_iso': '62400.cw', 'p': 17, 'prec': 20, 'unit': 69084474334982217379223, 'val': 1}
  • id: 3174639
    {'lmfdb_iso': '62400.cw', 'p': 19, 'prec': 20, 'unit': 1447332049079158858489927, 'val': 1}
  • id: 3174643
    {'lmfdb_iso': '62400.cw', 'p': 23, 'prec': 20, 'unit': 50713349046300063664633525, 'val': 1}
  • id: 3174635
    {'lmfdb_iso': '62400.cw', 'p': 29, 'prec': 20, 'unit': 50076653953851574765852281, 'val': 1}
  • id: 3174647
    {'lmfdb_iso': '62400.cw', 'p': 31, 'prec': 20, 'unit': 19568314416065391120583265640, 'val': 1}
  • id: 3174632
    {'lmfdb_iso': '62400.cw', 'p': 37, 'prec': 20, 'unit': 309191863837368948121570025113, 'val': 1}
  • id: 3174633
    {'lmfdb_iso': '62400.cw', 'p': 41, 'prec': 20, 'unit': 2737818649736261255447092674659, 'val': 1}
  • id: 3174634
    {'lmfdb_iso': '62400.cw', 'p': 43, 'prec': 20, 'unit': 4656169157624695717445634304704, 'val': 1}
  • id: 3174645
    {'lmfdb_iso': '62400.cw', 'p': 47, 'prec': 20, 'unit': 34931205373630748339029372242004, 'val': 1}
  • id: 3174640
    {'lmfdb_iso': '62400.cw', 'p': 53, 'prec': 20, 'unit': 445119895982447606211895962579951, 'val': 1}
  • id: 3174641
    {'lmfdb_iso': '62400.cw', 'p': 59, 'prec': 20, 'unit': 899807583661656691149745388588196, 'val': 1}
  • id: 3174646
    {'lmfdb_iso': '62400.cw', 'p': 61, 'prec': 20, 'unit': 6971310058076757777810867644306760, 'val': 1}
  • id: 3174631
    {'lmfdb_iso': '62400.cw', 'p': 67, 'prec': 20, 'unit': 17041915730229636241407977303734894, 'val': 1}
  • id: 3174642
    {'lmfdb_iso': '62400.cw', 'p': 73, 'prec': 20, 'unit': 139926661570607413342482392271533049, 'val': 1}
  • id: 3174636
    {'lmfdb_iso': '62400.cw', 'p': 79, 'prec': 20, 'unit': 3139015524281476625757095487655142, 'val': 1}
  • id: 3174630
    {'lmfdb_iso': '62400.cw', 'p': 83, 'prec': 20, 'unit': 956894250824031633042349538656125882, 'val': 1}
  • id: 3174644
    {'lmfdb_iso': '62400.cw', 'p': 89, 'prec': 20, 'unit': 137150954138562615741793417500712018, 'val': 1}
  • id: 3174629
    {'lmfdb_iso': '62400.cw', 'p': 97, 'prec': 20, 'unit': 32372598342634154756365521862198869910, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 413277
    {'Ciso': '62400ep', 'Clabel': '62400ep8', 'Cnumber': 8, 'abc_quality': 1.0411934542658166, 'absD': 99840000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, -208000033, 1154700351937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 62400, 'degree': 4718592, 'elladic_images': ['32.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0338567948516020384004247223', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [242970740812818720001, 24375], 'lmfdb_iso': '62400.cw', 'lmfdb_label': '62400.cw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -130000, -18051943], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '24.24.0.by.1', '32.48.0-16.g.1.8', '40.24.0-8.n.1.6', '48.48.0.bs.2', '80.48.0.?', '96.96.0.?', '104.24.0.?', '120.48.0.?', '156.12.0.?', '160.96.0.?', '208.96.0.?', '240.96.0.?', '312.48.0.?', '416.192.2.?', '480.192.1.?', '520.48.0.?', '624.192.1.?', '1040.192.2.?', '1248.384.5.?', '1560.96.0.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.721581601203128411575364400', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968735', 'prec': 100}, 'szpiro_ratio': 6.2558413268084765, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 413275
    {'Ciso': '62400ep', 'Clabel': '62400ep6', 'Cnumber': 6, 'abc_quality': 1.0123408415397925, 'absD': 2433600000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -13000033, 18045351937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 62400, 'degree': 2359296, 'elladic_images': ['16.48.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6872832045716293836918086616', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [59319456301170001, 594140625], 'lmfdb_iso': '62400.cw', 'lmfdb_label': '62400.cw2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8125, -282568], 'min_quad_twist_disc': -40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.i.1', '16.48.0-8.i.1.3', '24.48.0.bb.1', '40.48.0-8.i.1.4', '48.96.0-24.bb.1.1', '80.96.0.?', '104.48.0.?', '120.96.0.?', '156.24.0.?', '208.192.2.?', '240.192.1.?', '312.96.1.?', '520.96.0.?', '624.384.5.?', '1040.384.5.?', '1560.192.1.?', '3120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3607908006015642057876821999', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081280', 'prec': 103}, 'szpiro_ratio': 5.502511241494718, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 413276
    {'Ciso': '62400ep', 'Clabel': '62400ep7', 'Cnumber': 7, 'abc_quality': 1.0142537292135114, 'absD': 24375000000000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, -12688033, 18952335937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 62400, 'degree': 4718592, 'elladic_images': ['32.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0338567948516020384004247223', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-55150149867714721, 5950927734375], 'lmfdb_iso': '62400.cw', 'lmfdb_label': '62400.cw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7930, -296725], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '24.24.0.bz.2', '32.48.0-16.g.1.8', '40.24.0-8.n.1.6', '48.48.0.bv.2', '78.6.0.?', '80.48.0.?', '96.96.0.?', '104.24.0.?', '120.48.0.?', '156.12.0.?', '160.96.0.?', '208.96.2.?', '240.96.0.?', '312.48.0.?', '416.192.2.?', '480.192.1.?', '520.48.0.?', '624.192.5.?', '1040.192.2.?', '1248.384.5.?', '1560.96.0.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.721581601203128411575364400', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968735', 'prec': 100}, 'szpiro_ratio': 5.511395573842078, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 413273
    {'Ciso': '62400ep', 'Clabel': '62400ep4', 'Cnumber': 4, 'abc_quality': 0.9738373897310543, 'absD': 5922408960000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -832033, 267903937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 62400, 'degree': 1179648, 'elladic_images': ['8.48.0.42'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3407096142916567289831926009', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 4], 'jinv': [15551989015681, 1445900625], 'lmfdb_iso': '62400.cw', 'lmfdb_label': '62400.cw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -520, -4225], 'min_quad_twist_disc': -40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.48.0-4.b.1.4', '24.96.0-24.b.1.3', '40.96.0-40.b.2.1', '104.96.0.?', '120.192.1.?', '208.192.2.?', '312.192.1.?', '520.192.1.?', '624.384.5.?', '1040.384.5.?', '1560.384.5.?', '3120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1803954003007821028938411000', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49626988723468857755696475210', 'prec': 103}, 'szpiro_ratio': 4.755634629347936, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 413271
    {'Ciso': '62400ep', 'Clabel': '62400ep2', 'Cnumber': 2, 'abc_quality': 1.0179337433150557, 'absD': 113542041600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -184033, -25640063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 62400, 'degree': 589824, 'elladic_images': ['8.48.0.108'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9941360240116840742745765401', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [168288035761, 27720225], 'lmfdb_iso': '62400.cw', 'lmfdb_label': '62400.cw5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -115, 392], 'min_quad_twist_disc': -40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.i.1.8', '40.96.0-40.bc.2.2', '48.96.0-48.d.1.1', '104.96.0.?', '208.192.2.?', '240.192.1.?', '260.24.0.?', '520.192.1.?', '624.384.5.?', '1040.384.5.?', '3120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3607908006015642057876821999', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14969629695471592284834869130', 'prec': 103}, 'szpiro_ratio': 4.345695728632686, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 413270
    {'Ciso': '62400ep', 'Clabel': '62400ep1', 'Cnumber': 1, 'abc_quality': 0.9386701274898751, 'absD': 21565440000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, -176033, -28368063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 62400, 'degree': 294912, 'elladic_images': ['16.48.0.110'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6475624337317114195659604794', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [147281603041, 5265], 'lmfdb_iso': '62400.cw', 'lmfdb_label': '62400.cw6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -110, 435], 'min_quad_twist_disc': -40, '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', '40.48.0-40.cb.2.2', '80.96.0.?', '96.96.0.?', '104.48.0.?', '130.6.0.?', '208.96.0.?', '260.12.0.?', '416.192.2.?', '480.192.1.?', '520.96.0.?', '624.192.2.?', '1040.192.1.?', '1248.384.5.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1803954003007821028938411000', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19687729332525673186026736940', 'prec': 107}, 'szpiro_ratio': 4.333620126980245, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 413272
    {'Ciso': '62400ep', 'Clabel': '62400ep3', 'Cnumber': 3, 'abc_quality': 1.0535292066299595, 'absD': 11460758999040000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, 335967, -144720063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 62400, 'degree': 1179648, 'elladic_images': ['16.48.0.171'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3407096142916567289831926009', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 2798036865], 'lmfdb_iso': '62400.cw', 'lmfdb_label': '62400.cw7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 2277], 'min_quad_twist_disc': -40, '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', '40.48.0-40.ca.1.10', '80.96.0.?', '96.96.0.?', '104.48.0.?', '208.192.2.?', '260.12.0.?', '480.192.1.?', '520.96.0.?', '1040.384.5.?', '1248.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.721581601203128411575364400', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49626988723468857755696475210', 'prec': 103}, 'szpiro_ratio': 4.628270748312561, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 413274
    {'Ciso': '62400ep', 'Clabel': '62400ep5', 'Cnumber': 5, 'abc_quality': 1.0149811194984983, 'absD': 751777432473600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, 967967, 1266903937], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 62400, 'degree': 2359296, 'elladic_images': ['8.48.0.196'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6872832045716293836918086616', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [24487529386319, 183539412225], 'lmfdb_iso': '62400.cw', 'lmfdb_label': '62400.cw8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 605, -19750], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0-8.q.1.4', '12.24.0-4.d.1.2', '24.96.0-24.be.2.8', '40.96.0-40.bf.1.3', '120.192.1.?', '208.96.0.?', '416.192.2.?', '624.192.1.?', '1040.192.1.?', '1248.384.5.?', '2080.384.5.?', '3120.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5901977001503910514469205500', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081280', 'prec': 103}, 'szpiro_ratio': 5.021440904001997, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}