Elliptic curve isogeny class data - 64350.dr

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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, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 1, 2, 0, 4, 0], 'aplist': [1, 0, 0, 0, -1, -1, 2, 4, 0, 2, 8, 10, -10, 4, -8, -10, -12, -2, -4, 0, -10, -8, 4, -18, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 64350, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '64350.dr', 'trace_hash': 869063956396275215}
• ec_padic •

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

  
  
  • id: 3280589
    {'lmfdb_iso': '64350.dr', 'p': 17, 'prec': 20, 'unit': 129307232402723861723851, 'val': 1}
  • id: 3280581
    {'lmfdb_iso': '64350.dr', 'p': 19, 'prec': 20, 'unit': 604328957187133634709444, 'val': 1}
  • id: 3280587
    {'lmfdb_iso': '64350.dr', 'p': 29, 'prec': 20, 'unit': 640020928290674241427845821, 'val': 1}
  • id: 3280597
    {'lmfdb_iso': '64350.dr', 'p': 31, 'prec': 20, 'unit': 5988909549132304898057245034, 'val': 1}
  • id: 3280584
    {'lmfdb_iso': '64350.dr', 'p': 37, 'prec': 20, 'unit': 573167423066136921553772713372, 'val': 1}
  • id: 3280585
    {'lmfdb_iso': '64350.dr', 'p': 41, 'prec': 20, 'unit': 459738975354165435126414051415, 'val': 1}
  • id: 3280586
    {'lmfdb_iso': '64350.dr', 'p': 43, 'prec': 20, 'unit': 2090950792717207808471543652570, 'val': 1}
  • id: 3280595
    {'lmfdb_iso': '64350.dr', 'p': 47, 'prec': 20, 'unit': 16224780147480419838994584527792, 'val': 1}
  • id: 3280591
    {'lmfdb_iso': '64350.dr', 'p': 53, 'prec': 20, 'unit': 280733255127814303871496807740376, 'val': 1}
  • id: 3280592
    {'lmfdb_iso': '64350.dr', 'p': 59, 'prec': 20, 'unit': 678122255544860932216921953607828, 'val': 1}
  • id: 3280596
    {'lmfdb_iso': '64350.dr', 'p': 61, 'prec': 20, 'unit': 2336350619761573218200874920587748, 'val': 1}
  • id: 3280583
    {'lmfdb_iso': '64350.dr', 'p': 67, 'prec': 20, 'unit': 30204421080915876688987666751179910, 'val': 1}
  • id: 3280593
    {'lmfdb_iso': '64350.dr', 'p': 73, 'prec': 20, 'unit': 95356245973692885784363529686669887, 'val': 1}
  • id: 3280588
    {'lmfdb_iso': '64350.dr', 'p': 79, 'prec': 20, 'unit': 812802831207516781617437213590742468, 'val': 1}
  • id: 3280590
    {'lmfdb_iso': '64350.dr', 'p': 83, 'prec': 20, 'unit': 2542491931187825287911316159670658139, 'val': 1}
  • id: 3280594
    {'lmfdb_iso': '64350.dr', 'p': 89, 'prec': 20, 'unit': 2474902694558548057653187051403361388, 'val': 1}
  • id: 3280582
    {'lmfdb_iso': '64350.dr', 'p': 97, 'prec': 20, 'unit': 48638176930361775126145600517848811392, '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: 426119
    {'Ciso': '64350dj', 'Clabel': '64350dj6', 'Cnumber': 6, 'abc_quality': 1.0240346686812953, 'absD': 12705103125000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 1, -1338480005, 18848363786997], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 64350, 'degree': 11796480, 'elladic_images': ['16.24.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4049860421835351915425767134', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [23281546263261052473907201, 1115400], 'lmfdb_iso': '64350.dr', 'lmfdb_label': '64350.dr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5948800, -5585096968], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.1', '60.12.0-4.c.1.1', '120.24.0.?', '240.48.0.?', '264.24.0.?', '312.24.0.?', '440.24.0.?', '520.24.0.?', '528.48.0.?', '624.48.0.?', '880.48.0.?', '1040.48.0.?', '1144.24.0.?', '1320.48.0.?', '1560.48.0.?', '2288.48.0.?', '2640.96.0.?', '3120.96.0.?', '3432.48.0.?', '5720.48.0.?', '6864.96.0.?', '11440.96.0.?', '17160.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8447521781044684344766364564', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2475], [3, 8, 3575], [5, 18, 2574], [11, 12, 5850], [13, 14, 4950]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0509609416324301585445744283', 'prec': 100}, 'szpiro_ratio': 6.742899448719338, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 426117
    {'Ciso': '64350dj', 'Clabel': '64350dj4', 'Cnumber': 4, 'abc_quality': 0.9996929468325244, 'absD': 14171272025625000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 17160, 'ainvs': [1, -1, 1, -83655005, 294521336997], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 64350, 'degree': 5898240, 'elladic_images': ['8.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0584124519035625368339606526', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4], 'jinv': [5683972151443376419201, 1244117160000], 'lmfdb_iso': '64350.dr', 'lmfdb_label': '64350.dr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -371800, -87290368], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.1', '60.24.0-4.b.1.1', '120.48.0.?', '264.48.0.?', '312.48.0.?', '440.48.0.?', '520.48.0.?', '1144.48.0.?', '1320.96.0.?', '1560.96.0.?', '3432.96.0.?', '5720.96.0.?', '17160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4223760890522342172383182282', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 3575], [5, 18, 2574], [11, 12, 5850], [13, 14, 4950]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7043873513524575038359583675', 'prec': 100}, 'szpiro_ratio': 5.9916623880904325, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 426118
    {'Ciso': '64350dj', 'Clabel': '64350dj5', 'Cnumber': 5, 'abc_quality': 1.040309244577415, 'absD': 958204782963720703125000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 1, -83358005, 296716166997], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 64350, 'degree': 11796480, 'elladic_images': ['8.24.0.92'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4049860421835351915425767134', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-5623647484692626737921, 84122230603125000], 'lmfdb_iso': '64350.dr', 'lmfdb_label': '64350.dr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -370480, -87940600], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.1', '60.12.0-4.c.1.1', '120.48.0.?', '264.48.0.?', '440.48.0.?', '624.48.0.?', '1040.48.0.?', '1320.96.0.?', '2288.48.0.?', '3120.96.0.?', '6864.96.0.?', '11440.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8447521781044684344766364564', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2475], [3, 8, 3575], [5, 18, 2574], [11, 12, 5850], [13, 14, 4950]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0509609416324301585445744283', 'prec': 100}, 'szpiro_ratio': 5.993003625033448, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 426115
    {'Ciso': '64350dj', 'Clabel': '64350dj2', 'Cnumber': 2, 'abc_quality': 0.9678702575721215, 'absD': 233770644993600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 17160, 'ainvs': [1, -1, 1, -5247005, 4568552997], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 64350, 'degree': 2949120, 'elladic_images': ['8.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7118388616235898821253445919', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4], 'jinv': [1402524686897642881, 20523074457600], 'lmfdb_iso': '64350.dr', 'lmfdb_label': '64350.dr4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -23320, -1355200], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.2', '60.24.0-4.b.1.3', '120.48.0.?', '156.24.0.?', '260.24.0.?', '264.48.0.?', '312.48.0.?', '440.48.0.?', '520.48.0.?', '780.48.0.?', '1144.48.0.?', '1320.96.0.?', '1560.96.0.?', '3432.96.0.?', '5720.96.0.?', '17160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2111880445261171086191591141', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 3575], [5, 18, 2574], [11, 12, 5850], [13, 14, 4950]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3578137610724848491273423068', 'prec': 100}, 'szpiro_ratio': 5.24138579450835, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 426114
    {'Ciso': '64350dj', 'Clabel': '64350dj1', 'Cnumber': 1, 'abc_quality': 0.9562653448953453, 'absD': 13527224156160000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 1, -639005, -85527003], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 64350, 'degree': 1474560, 'elladic_images': ['16.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3652652713436172274167285312', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2533309721804161, 1187575234560], 'lmfdb_iso': '64350.dr', 'lmfdb_label': '64350.dr5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2840, 25152], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.2', '60.12.0-4.c.1.2', '120.24.0.?', '130.6.0.?', '156.12.0.?', '240.48.0.?', '260.12.0.?', '264.24.0.?', '312.24.0.?', '440.24.0.?', '520.24.0.?', '528.48.0.?', '624.48.0.?', '780.24.0.?', '880.48.0.?', '1040.48.0.?', '1144.24.0.?', '1320.48.0.?', '1560.48.0.?', '2288.48.0.?', '2640.96.0.?', '3120.96.0.?', '3432.48.0.?', '5720.48.0.?', '6864.96.0.?', '11440.96.0.?', '17160.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60559402226305855430957955705', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 2925], [3, 8, 3575], [5, 18, 2574], [11, 12, 5850], [13, 14, 4950]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0112401707925121944187262461', 'prec': 100}, 'szpiro_ratio': 4.670897175055062, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 426116
    {'Ciso': '64350dj', 'Clabel': '64350dj3', 'Cnumber': 3, 'abc_quality': 1.0432171811138518, 'absD': 66642672375349785000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 1, -567005, 12421592997], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 64350, 'degree': 5898240, 'elladic_images': ['8.24.0.91'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0584124519035625368339606526', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-1769848555063681, 5850659851882560], 'lmfdb_iso': '64350.dr', 'lmfdb_label': '64350.dr6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2520, -3680640], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '60.12.0-4.c.1.2', '120.48.0.?', '156.12.0.?', '260.12.0.?', '312.48.0.?', '520.48.0.?', '528.48.0.?', '780.24.0.?', '880.48.0.?', '1560.96.0.?', '2288.48.0.?', '2640.96.0.?', '6864.96.0.?', '11440.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4223760890522342172383182282', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2925], [3, 8, 3575], [5, 18, 2574], [11, 12, 5850], [13, 14, 4950]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7043873513524575038359583675', 'prec': 100}, 'szpiro_ratio': 5.4198001508056, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}