Elliptic curve isogeny class data - 418275.cg

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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, -3, 0, 0, -1, 0, 0, 0, 0, -1, -6, 0, 4, 0], 'aplist': [1, 0, 0, 0, -1, 0, -6, 4, -8, 10, 0, 6, 10, -4, -8, -10, -12, 14, -12, 0, -6, 8, -12, 2, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 418275, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '418275.cg', 'trace_hash': 474186442395824102}
• lmfdb_iso 418275.cg 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: 2589562
    {'Ciso': '418275cg', 'Clabel': '418275cg4', 'Cnumber': 4, 'abc_quality': 0.9895637859915349, 'absD': 70759737818859375, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 0, -261004392, -1622939671859], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 418275, 'degree': 44040192, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1775954181887882223945036211', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [35765103905346817, 1287], 'lmfdb_iso': '418275.cg', 'lmfdb_label': '418275.cg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6864, 218313], 'min_quad_twist_disc': -195, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '40.24.0-8.n.1.4', '48.24.0.g.1', '176.24.0.?', '208.24.0.?', '240.48.0.?', '264.24.0.?', '312.24.0.?', '528.48.0.?', '572.12.0.?', '624.48.0.?', '660.12.0.?', '780.12.0.?', '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.?', '6864.96.1.?', '8580.24.0.?', '11440.96.0.?', '17160.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 46475], [5, 14, 16731], [11, 12, 38025], [13, 98, 2475]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54109563890691482136975761524', 'prec': 103}, 'szpiro_ratio': 5.388930434055642, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2589563
    {'Ciso': '418275cg', 'Clabel': '418275cg5', 'Cnumber': 5, 'abc_quality': 0.9785267024283243, 'absD': 5975264146762211884171875, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 0, -114418017, 456186144766], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 418275, 'degree': 88080384, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5241690084687608771031196818', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3013001140430737, 108679952667], 'lmfdb_iso': '418275.cg', 'lmfdb_label': '418275.cg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3009, -61770], 'min_quad_twist_disc': -195, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '12.12.0.h.1', '24.24.0.bl.1', '40.24.0-8.n.1.3', '104.24.0.?', '120.48.0.?', '176.24.0.?', '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.?', '6864.96.1.?', '11440.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 38025], [3, 8, 46475], [5, 14, 16731], [11, 12, 38025], [13, 98, 2475]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88766922918688747607837367594', 'prec': 103}, 'szpiro_ratio': 5.1977950652400216, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2589561
    {'Ciso': '418275cg', 'Clabel': '418275cg3', 'Cnumber': 3, 'abc_quality': 0.9574733148525506, 'absD': 206916120648073316390625, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 17160, 'ainvs': [1, -1, 0, -18024642, -19707947609], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 418275, 'degree': 44040192, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1775954181887882223945036211', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 4], 'jinv': [11779205551777, 3763454409], 'lmfdb_iso': '418275.cg', 'lmfdb_label': '418275.cg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -474, 2619], 'min_quad_twist_disc': -195, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '12.24.0.c.1', '40.24.0-4.b.1.7', '88.24.0.?', '104.24.0.?', '120.48.0.?', '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.?', '3432.96.1.?', '5720.96.0.?', '17160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 38025], [3, 8, 46475], [5, 14, 16731], [11, 12, 38025], [13, 98, 2475]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54109563890691482136975761524', 'prec': 103}, 'szpiro_ratio': 4.769457501977305, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2589560
    {'Ciso': '418275cg', 'Clabel': '418275cg2', 'Cnumber': 2, 'abc_quality': 0.9433902594003265, 'absD': 91067782572872015625, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 17160, 'ainvs': [1, -1, 0, -16313517, -25352948984], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 418275, 'degree': 22020096, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8310218279088155676858875603', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 4], 'jinv': [8732907467857, 1656369], 'lmfdb_iso': '418275.cg', 'lmfdb_label': '418275.cg4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -429, 3384], 'min_quad_twist_disc': -195, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.m.1', '40.24.0-4.b.1.8', '88.24.0.?', '104.24.0.?', '120.48.0.?', '264.48.0.?', '312.48.0.?', '440.48.0.?', '520.48.0.?', '572.24.0.?', '660.24.0.?', '780.24.0.?', '1144.48.0.?', '1320.96.0.?', '1560.96.0.?', '3432.96.1.?', '5720.96.0.?', '8580.48.0.?', '17160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 38025], [3, 8, 46475], [5, 14, 16731], [11, 12, 38025], [13, 98, 2475]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.19452204862694216666114155444', 'prec': 103}, 'szpiro_ratio': 4.746339468963359, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2589559
    {'Ciso': '418275cg', 'Clabel': '418275cg1', 'Cnumber': 1, 'abc_quality': 0.8840474094399083, 'absD': 51583848869948484375, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 0, -913392, -481747109], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 418275, 'degree': 11010048, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4844482376288429129772714996', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-1532808577, 938223], 'lmfdb_iso': '418275.cg', 'lmfdb_label': '418275.cg5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -24, 63], 'min_quad_twist_disc': -195, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '48.24.0.g.1', '80.24.0.?', '88.24.0.?', '104.24.0.?', '120.24.0.?', '240.48.0.?', '286.6.0.?', '528.48.0.?', '572.12.0.?', '624.48.0.?', '660.12.0.?', '780.12.0.?', '880.48.0.?', '1040.48.0.?', '1144.48.0.?', '1320.48.0.?', '1560.48.0.?', '2640.96.0.?', '3120.96.0.?', '6864.96.1.?', '8580.24.0.?', '11440.96.0.?', '17160.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 8, 46475], [5, 14, 16731], [11, 12, 38025], [13, 98, 2475]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15205154165303048804747450626', 'prec': 107}, 'szpiro_ratio': 4.133991782461298, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2589564
    {'Ciso': '418275cg', 'Clabel': '418275cg6', 'Cnumber': 6, 'abc_quality': 0.9847533288977478, 'absD': 16280251575288214846921875, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 0, 50990733, -134342485484], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 418275, 'degree': 88080384, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5241690084687608771031196818', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [266679605718863, 296110251723], 'lmfdb_iso': '418275.cg', 'lmfdb_label': '418275.cg6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1341, 18228], 'min_quad_twist_disc': -195, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0.n.1', '12.12.0.g.1', '24.24.0.bh.1', '80.24.0.?', '88.24.0.?', '208.24.0.?', '240.48.0.?', '260.12.0.?', '264.48.0.?', '520.24.0.?', '624.48.0.?', '780.24.0.?', '880.48.0.?', '1040.48.0.?', '1560.48.0.?', '2288.48.0.?', '2640.96.0.?', '3120.96.0.?', '5720.48.0.?', '6864.96.1.?', '11440.96.0.?', '17160.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 38025], [3, 8, 46475], [5, 14, 16731], [11, 12, 38025], [13, 98, 2475]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88766922918688747607837367594', 'prec': 103}, 'szpiro_ratio': 5.010475554950114, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}