Elliptic curve isogeny class data - 65520.cv

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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, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 1, -1, 0, 1, 6, 4, 0, -6, -8, 2, -6, -8, 12, 6, -12, 14, 4, -12, 2, -8, 0, -6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 65520, 'isogeny_matrix': [[1, 4, 12, 2, 3, 6, 12, 4], [4, 1, 3, 2, 12, 6, 12, 4], [12, 3, 1, 6, 4, 2, 4, 12], [2, 2, 6, 1, 6, 3, 6, 2], [3, 12, 4, 6, 1, 2, 4, 12], [6, 6, 2, 3, 2, 1, 2, 6], [12, 12, 4, 6, 4, 2, 1, 3], [4, 4, 12, 2, 12, 6, 3, 1]], 'lmfdb_iso': '65520.cv', 'trace_hash': 1058944060940289261}
• ec_padic •

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

  
  
  • id: 3343941
    {'lmfdb_iso': '65520.cv', 'p': 17, 'prec': 20, 'unit': 71361590004870325390644, 'val': 1}
  • id: 3343942
    {'lmfdb_iso': '65520.cv', 'p': 19, 'prec': 20, 'unit': 1799454619312475217409391, 'val': 1}
  • id: 3343939
    {'lmfdb_iso': '65520.cv', 'p': 29, 'prec': 20, 'unit': 984434146081581756354320501, 'val': 1}
  • id: 3343949
    {'lmfdb_iso': '65520.cv', 'p': 31, 'prec': 20, 'unit': 17185889604079665466077365599, 'val': 1}
  • id: 3343935
    {'lmfdb_iso': '65520.cv', 'p': 37, 'prec': 20, 'unit': 300466233050973253693100792475, 'val': 1}
  • id: 3343937
    {'lmfdb_iso': '65520.cv', 'p': 41, 'prec': 20, 'unit': 597129322300056310077565127551, 'val': 1}
  • id: 3343938
    {'lmfdb_iso': '65520.cv', 'p': 43, 'prec': 20, 'unit': 2400502932011803435706474605866, 'val': 1}
  • id: 3343947
    {'lmfdb_iso': '65520.cv', 'p': 47, 'prec': 20, 'unit': 49589138224681485070702852952899, 'val': 1}
  • id: 3343943
    {'lmfdb_iso': '65520.cv', 'p': 53, 'prec': 20, 'unit': 390405738082236005667473822965688, 'val': 1}
  • id: 3343944
    {'lmfdb_iso': '65520.cv', 'p': 59, 'prec': 20, 'unit': 1286386804000386329984099993834222, 'val': 1}
  • id: 3343948
    {'lmfdb_iso': '65520.cv', 'p': 61, 'prec': 20, 'unit': 5796473620653351353200200140445155, 'val': 1}
  • id: 3343934
    {'lmfdb_iso': '65520.cv', 'p': 67, 'prec': 20, 'unit': 38772775151169441122946949195038675, 'val': 1}
  • id: 3343936
    {'lmfdb_iso': '65520.cv', 'p': 71, 'prec': 20, 'unit': 111340029427605834546053082113956864, 'val': 1}
  • id: 3343945
    {'lmfdb_iso': '65520.cv', 'p': 73, 'prec': 20, 'unit': 3362524208365236771735417428300015, 'val': 2}
  • id: 3343940
    {'lmfdb_iso': '65520.cv', 'p': 79, 'prec': 20, 'unit': 703954537967706208693120548527591374, 'val': 1}
  • id: 3343946
    {'lmfdb_iso': '65520.cv', 'p': 89, 'prec': 20, 'unit': 7452907673781463465258696852890969622, 'val': 1}
  • id: 3343933
    {'lmfdb_iso': '65520.cv', 'p': 97, 'prec': 20, 'unit': 26433226980946098408951843163477070850, '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: 433717
    {'Ciso': '65520du', 'Clabel': '65520du7', 'Cnumber': 7, 'abc_quality': 1.0247428306933901, 'absD': 738330780096000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -326257707, -2267864675494], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 65520, 'degree': 15925248, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5803802060375005856680825199', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1286229821345376481036009, 247265484375000000], 'lmfdb_iso': '65520.cv', 'lmfdb_label': '65520.cv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2265679, -1312610494], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.96.0-12.c.1.4', '78.24.0.?', '156.192.1.?', '840.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7869276084500021164637115983', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3379268811435004305532277800', 'prec': 100}, 'szpiro_ratio': 6.350089664389722, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 433718
    {'Ciso': '65520du', 'Clabel': '65520du8', 'Cnumber': 8, 'abc_quality': 1.1217371473231392, 'absD': 11687375180269539459072000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -143504427, 640907473754], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 65520, 'degree': 15925248, 'elladic_images': ['4.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5803802060375005856680825199', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [109454124781830273937129, 3914078300576808000], 'lmfdb_iso': '65520.cv', 'lmfdb_label': '65520.cv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -996559, 370812482], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.1', '6.12.0.a.1', '12.96.0-12.c.3.8', '210.24.0.?', '312.192.1.?', '420.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7869276084500021164637115983', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3379268811435004305532277800', 'prec': 100}, 'szpiro_ratio': 6.127912884384378, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 433715
    {'Ciso': '65520du', 'Clabel': '65520du5', 'Cnumber': 5, 'abc_quality': 1.0177584325921658, 'absD': 15796059661025280, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -142249467, 653016395306], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 65520, 'degree': 5308416, 'elladic_images': ['4.12.0.7', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0310740617034457399704599014', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [106607603143751752938169, 5290068420], 'lmfdb_iso': '65520.cv', 'lmfdb_label': '65520.cv3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -987844, 377820686], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.1', '6.12.0.a.1', '12.96.0-12.c.4.8', '210.24.0.?', '312.192.1.?', '420.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3607828253500063493911347948', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7886207368094455848556051615', 'prec': 100}, 'szpiro_ratio': 6.125536832680484, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 433716
    {'Ciso': '65520du', 'Clabel': '65520du6', 'Cnumber': 6, 'abc_quality': 1.0086784378946845, 'absD': 406786145937260544000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -22544427, -27493294246], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 65520, 'degree': 7962624, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2338066157575279309594664591', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [424378956393532177129, 136231857216000000], 'lmfdb_iso': '65520.cv', 'lmfdb_label': '65520.cv4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -156559, -15923518], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.96.0-12.a.1.11', '156.192.1.?', '420.192.1.?', '1820.24.0.?', '5460.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3934638042250010582318557991', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9913532908635277758446117192', 'prec': 100}, 'szpiro_ratio': 5.627229518052176, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 433714
    {'Ciso': '65520du', 'Clabel': '65520du4', 'Cnumber': 4, 'abc_quality': 1.0006866888552106, 'absD': 36266954011695912960000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -9901947, 7738316714], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 65520, 'degree': 5308416, 'elladic_images': ['4.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0310740617034457399704599014', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35958207000163259449, 12145729518877500], 'lmfdb_iso': '65520.cv', 'lmfdb_label': '65520.cv5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -68764, 4472462], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.12.0-4.c.1.2', '6.12.0.a.1', '12.96.0-12.c.2.4', '78.24.0.?', '156.192.1.?', '840.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3607828253500063493911347948', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7886207368094455848556051615', 'prec': 100}, 'szpiro_ratio': 5.404664609875996, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 433712
    {'Ciso': '65520du', 'Clabel': '65520du2', 'Cnumber': 2, 'abc_quality': 0.9897957683776542, 'absD': 17312107517249126400, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -8891067, 10202235626], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 65520, 'degree': 2654208, 'elladic_images': ['4.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6845004714234730852618438407', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [26031421522845051769, 5797789779600], 'lmfdb_iso': '65520.cv', 'lmfdb_label': '65520.cv6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -61744, 5898926], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '4.12.0-2.a.1.1', '6.24.0.a.1', '12.96.0-12.a.2.5', '156.192.1.?', '420.192.1.?', '1820.24.0.?', '5460.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1803914126750031746955673974', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4420471465294729301469891008', 'prec': 100}, 'szpiro_ratio': 5.3755347817661425, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 433711
    {'Ciso': '65520du', 'Clabel': '65520du1', 'Cnumber': 1, 'abc_quality': 0.9604102457183549, 'absD': 9057116935689338880, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, 0, 0, -492987, 196763114], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 65520, 'degree': 1327104, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3379268811435004305532277799', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-4437543642183289, 3033210136320], 'lmfdb_iso': '65520.cv', 'lmfdb_label': '65520.cv7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3424, 113582], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.5', '12.48.0-12.g.1.4', '24.96.0-24.bt.2.3', '156.96.0.?', '312.192.1.?', '420.96.0.?', '840.192.1.?', '910.6.0.?', '1820.12.0.?', '2730.24.0.?', '3640.24.0.?', '5460.192.1.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3607828253500063493911347948', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0954735562495002754383730400', 'prec': 100}, 'szpiro_ratio': 4.663449179413144, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 433713
    {'Ciso': '65520du', 'Clabel': '65520du3', 'Cnumber': 3, 'abc_quality': 1.074254776643201, 'absD': 7800644766932140032000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, 0, 0, 3997653, -2931253414], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 65520, 'degree': 3981312, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8872330254775552762508503984', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 73, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2366200373628880151, 2612420149248000], 'lmfdb_iso': '65520.cv', 'lmfdb_label': '65520.cv8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 27761, -1694014], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.5', '12.48.0-12.g.1.8', '24.96.0-24.bt.1.2', '156.96.0.?', '312.192.1.?', '420.96.0.?', '840.192.1.?', '910.6.0.?', '1820.12.0.?', '2730.24.0.?', '3640.24.0.?', '5460.192.1.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7869276084500021164637115983', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6447797005835551211359956585', 'prec': 100}, 'szpiro_ratio': 5.1593043997094234, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}