Elliptic curve isogeny class data - 57330.dn

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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, -1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 1, -6, 0, 4, -1], 'aplist': [1, 0, -1, 0, 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': 57330, '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': '57330.dn', 'trace_hash': 32464342736736405}
• lmfdb_iso 57330.dn does not appear in ec_padic
• 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: 380317
    {'Ciso': '57330du', 'Clabel': '57330du7', 'Cnumber': 7, 'abc_quality': 1.0247428306933901, 'absD': 21207001452029859375000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, -1, 1, -999164228, -12154087454169], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 57330, 'degree': 31850496, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8601881000052119288035267701', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1286229821345376481036009, 247265484375000000], 'lmfdb_iso': '57330.dn', 'lmfdb_label': '57330.dn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2265679, -1312610494], 'min_quad_twist_disc': 21, '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', '12.48.0.c.1', '21.8.0-3.a.1.1', '28.12.0-4.c.1.2', '42.24.0-6.a.1.3', '84.96.0.?', '120.96.0.?', '156.96.1.?', '520.12.0.?', '840.192.1.?', '1092.192.1.?', '1560.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5733], [3, 8, 49], [5, 6, 11466], [7, 32, 1170], [13, 14, 4410]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3379268811435004305532277799', 'prec': 100}, 'szpiro_ratio': 6.733934924729923, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 380318
    {'Ciso': '57330du', 'Clabel': '57330du8', 'Cnumber': 8, 'abc_quality': 1.1217371473231392, 'absD': 335695313130744884721768000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, -1, 1, -439482308, 3434973362727], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 57330, 'degree': 31850496, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8601881000052119288035267701', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [109454124781830273937129, 3914078300576808000], 'lmfdb_iso': '57330.dn', 'lmfdb_label': '57330.dn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -996559, 370812482], 'min_quad_twist_disc': 21, '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', '12.48.0.c.3', '21.8.0-3.a.1.1', '28.12.0-4.c.1.1', '30.24.0-6.a.1.4', '42.24.0-6.a.1.3', '60.96.0-12.c.3.5', '84.96.0.?', '210.48.0.?', '312.96.1.?', '420.192.1.?', '520.12.0.?', '1560.192.1.?', '2184.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 8, 49], [5, 6, 11466], [7, 32, 1170], [13, 14, 4410]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3379268811435004305532277799', 'prec': 100}, 'szpiro_ratio': 6.509050404109513, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 380315
    {'Ciso': '57330du', 'Clabel': '57330du5', 'Cnumber': 5, 'abc_quality': 1.0177584325921658, 'absD': 453708648207998820, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, -1, 1, -435638993, 3499868653341], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 57330, 'degree': 10616832, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3108819556711570831059041517', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [106607603143751752938169, 5290068420], 'lmfdb_iso': '57330.dn', 'lmfdb_label': '57330.dn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -987844, 377820686], 'min_quad_twist_disc': 21, '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', '12.48.0.c.4', '21.8.0-3.a.1.2', '28.12.0-4.c.1.1', '30.24.0-6.a.1.3', '42.24.0-6.a.1.4', '60.96.0-12.c.4.5', '84.96.0.?', '210.48.0.?', '312.96.1.?', '420.192.1.?', '520.12.0.?', '1560.192.1.?', '2184.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2205], [3, 2, 6370], [5, 6, 11466], [7, 32, 1170], [13, 14, 4410]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7886207368094455848556051615', 'prec': 100}, 'szpiro_ratio': 6.506645394691397, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 380316
    {'Ciso': '57330du', 'Clabel': '57330du6', 'Cnumber': 6, 'abc_quality': 1.0086784378946845, 'absD': 11684077950042179136000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 5460, 'ainvs': [1, -1, 1, -69042308, -147329613273], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 57330, 'degree': 15925248, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5136145097252392740949107094', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [424378956393532177129, 136231857216000000], 'lmfdb_iso': '57330.dn', 'lmfdb_label': '57330.dn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -156559, -15923518], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '21.8.0-3.a.1.1', '28.12.0-2.a.1.1', '42.48.0-6.a.1.1', '60.96.0-12.a.1.4', '84.96.0.?', '156.96.1.?', '260.12.0.?', '420.192.1.?', '780.192.1.?', '1092.192.1.?', '1820.24.0.?', '5460.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 49], [5, 6, 11466], [7, 32, 1170], [13, 14, 4410]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9913532908635277758446117192', 'prec': 100}, 'szpiro_ratio': 6.002265046892964, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 380314
    {'Ciso': '57330du', 'Clabel': '57330du4', 'Cnumber': 4, 'abc_quality': 1.0006866888552106, 'absD': 1041692107549319449177500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, -1, 1, -30324713, 41480122317], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 57330, 'degree': 10616832, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3108819556711570831059041517', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35958207000163259449, 12145729518877500], 'lmfdb_iso': '57330.dn', 'lmfdb_label': '57330.dn5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -68764, 4472462], 'min_quad_twist_disc': 21, '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', '12.48.0.c.2', '21.8.0-3.a.1.2', '28.12.0-4.c.1.2', '42.24.0-6.a.1.4', '84.96.0.?', '120.96.0.?', '156.96.1.?', '520.12.0.?', '840.192.1.?', '1092.192.1.?', '1560.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5733], [3, 2, 6370], [5, 6, 11466], [7, 32, 1170], [13, 14, 4410]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7886207368094455848556051615', 'prec': 100}, 'szpiro_ratio': 5.7769876678575764, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 380312
    {'Ciso': '57330du', 'Clabel': '57330du2', 'Cnumber': 2, 'abc_quality': 0.9897957683776542, 'absD': 497253939769736931600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 5460, 'ainvs': [1, -1, 1, -27228893, 54684413781], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 57330, 'degree': 5308416, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9643083653911844283972880909', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [26031421522845051769, 5797789779600], 'lmfdb_iso': '57330.dn', 'lmfdb_label': '57330.dn6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -61744, 5898926], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '21.8.0-3.a.1.2', '28.12.0-2.a.1.1', '42.48.0-6.a.1.2', '60.96.0-12.a.2.4', '84.96.0.?', '156.96.1.?', '260.12.0.?', '420.192.1.?', '780.192.1.?', '1092.192.1.?', '1820.24.0.?', '5460.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 2, 6370], [5, 6, 11466], [7, 32, 1170], [13, 14, 4410]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4420471465294729301469891007', 'prec': 100}, 'szpiro_ratio': 5.7475028250667055, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 380311
    {'Ciso': '57330du', 'Clabel': '57330du1', 'Cnumber': 1, 'abc_quality': 0.9604102457183549, 'absD': 260146667570047614720, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, -1, 1, -1509773, 1054904757], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 57330, 'degree': 2654208, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6177347751112117736886720302', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-4437543642183289, 3033210136320], 'lmfdb_iso': '57330.dn', 'lmfdb_label': '57330.dn7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3424, 113582], 'min_quad_twist_disc': 21, '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', '12.24.0.g.1', '21.8.0-3.a.1.2', '24.48.0.bt.2', '42.24.0-6.a.1.4', '56.12.0-4.c.1.5', '60.48.0-12.g.1.4', '84.48.0.?', '120.96.0.?', '156.48.0.?', '168.96.0.?', '312.96.1.?', '390.24.0.?', '420.96.0.?', '520.12.0.?', '780.96.0.?', '840.192.1.?', '910.6.0.?', '1092.96.0.?', '1560.192.1.?', '1820.12.0.?', '2184.192.1.?', '2730.48.0.?', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 28665], [3, 2, 6370], [5, 6, 11466], [7, 32, 1170], [13, 14, 4410]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0954735562495002754383730400', 'prec': 100}, 'szpiro_ratio': 5.0267388040830605, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 380313
    {'Ciso': '57330du', 'Clabel': '57330du3', 'Cnumber': 3, 'abc_quality': 1.074254776643201, 'absD': 224057142623242027008000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, -1, 1, 12242812, -15712746969], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 57330, 'degree': 7962624, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1670409194452666193862946487', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2366200373628880151, 2612420149248000], 'lmfdb_iso': '57330.dn', 'lmfdb_label': '57330.dn8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 27761, -1694014], 'min_quad_twist_disc': 21, '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', '12.24.0.g.1', '21.8.0-3.a.1.1', '24.48.0.bt.1', '42.24.0-6.a.1.3', '56.12.0-4.c.1.5', '60.48.0-12.g.1.4', '84.48.0.?', '120.96.0.?', '156.48.0.?', '168.96.0.?', '312.96.1.?', '390.24.0.?', '420.96.0.?', '520.12.0.?', '780.96.0.?', '840.192.1.?', '910.6.0.?', '1092.96.0.?', '1560.192.1.?', '1820.12.0.?', '2184.192.1.?', '2730.48.0.?', '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': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 28665], [3, 8, 49], [5, 6, 11466], [7, 32, 1170], [13, 14, 4410]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6447797005835551211359956585', 'prec': 100}, 'szpiro_ratio': 5.528637173079023, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}