Elliptic curve isogeny class data - 3120.k

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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, 1, 0, 0, 0, 1, 0, -4, 0, 1, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, -1, 1, 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': 3120, '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': '3120.k', 'trace_hash': 1297241742677003982}
• lmfdb_iso 3120.k 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: 18512
    {'Ciso': '3120r', 'Clabel': '3120r7', 'Cnumber': 7, 'abc_quality': 1.0411934542658166, 'absD': 99840000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, -2080000, 1155324352], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3120, 'degree': 24576, 'elladic_images': ['16.48.0.28'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8825642483545791963914289950', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [242970740812818720001, 24375], 'lmfdb_iso': '3120.k', 'lmfdb_label': '3120.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -130000, -18051943], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.g.1.2', '24.48.0-24.by.1.3', '48.96.0-48.bs.2.3', '104.48.0.?', '156.24.0.?', '160.96.0.?', '208.96.0.?', '312.96.0.?', '416.192.2.?', '480.192.1.?', '624.192.1.?', '1040.192.2.?', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 4, 1040], [5, 6, 624], [13, 14, 240]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968735', 'prec': 100}, 'szpiro_ratio': 6.868017221359321, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 18510
    {'Ciso': '3120r', 'Clabel': '3120r5', 'Cnumber': 5, 'abc_quality': 1.0123408415397925, 'absD': 2433600000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -130000, 18084352], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3120, 'degree': 12288, 'elladic_images': ['8.48.0.28'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5359906580746065416828129343', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [59319456301170001, 594140625], 'lmfdb_iso': '3120.k', 'lmfdb_label': '3120.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8125, -282568], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.48.0-8.i.1.10', '24.96.0-24.bb.1.3', '80.96.0.?', '104.96.0.?', '156.48.0.?', '208.192.2.?', '240.192.1.?', '312.192.1.?', '624.384.5.?', '1040.384.5.?', '3120.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1040], [5, 6, 624], [13, 14, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081284', 'prec': 103}, 'szpiro_ratio': 5.834188660303498, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 18513
    {'Ciso': '3120r', 'Clabel': '3120r8', 'Cnumber': 8, 'abc_quality': 1.0142537292135114, 'absD': 24375000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, -126880, 18990400], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3120, 'degree': 24576, 'elladic_images': ['16.48.0.28'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8825642483545791963914289950', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-55150149867714721, 5950927734375], 'lmfdb_iso': '3120.k', 'lmfdb_label': '3120.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7930, -296725], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.g.1.2', '24.48.0-24.bz.2.3', '48.96.0-48.bv.2.1', '78.6.0.?', '104.48.0.?', '156.24.0.?', '160.96.0.?', '208.192.2.?', '312.96.0.?', '480.192.1.?', '624.384.5.?', '2080.384.5.?', '6240.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 39], [3, 4, 1040], [5, 6, 624], [13, 14, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968735', 'prec': 100}, 'szpiro_ratio': 5.846381026844639, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 18508
    {'Ciso': '3120r', 'Clabel': '3120r3', 'Cnumber': 3, 'abc_quality': 0.9738373897310543, 'absD': 5922408960000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -8320, 270400], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3120, 'degree': 6144, 'elladic_images': ['4.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968735', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [15551989015681, 1445900625], 'lmfdb_iso': '3120.k', 'lmfdb_label': '3120.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -520, -4225], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.48.0-4.b.1.1', '24.96.0-24.b.1.11', '40.96.0-40.b.2.2', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1040], [5, 6, 624], [13, 14, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49626988723468857755696475204', 'prec': 103}, 'szpiro_ratio': 4.809216489040271, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 18507
    {'Ciso': '3120r', 'Clabel': '3120r2', 'Cnumber': 2, 'abc_quality': 1.0179337433150557, 'absD': 113542041600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3120, 'ainvs': [0, -1, 0, -1840, -25088], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3120, 'degree': 3072, 'elladic_images': ['8.48.0.35'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081280', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [168288035761, 27720225], 'lmfdb_iso': '3120.k', 'lmfdb_label': '3120.k5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -115, 392], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.48.0-8.i.1.2', '40.96.0-40.bc.2.3', '48.96.0-48.d.1.2', '104.96.0.?', '208.192.2.?', '240.192.1.?', '260.48.0.?', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1040], [5, 6, 624], [13, 14, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14969629695471592284834869134', 'prec': 103}, 'szpiro_ratio': 4.246639005266024, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 18506
    {'Ciso': '3120r', 'Clabel': '3120r1', 'Cnumber': 1, 'abc_quality': 0.9386701274898751, 'absD': 21565440, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, -1760, -27840], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3120, 'degree': 1536, 'elladic_images': ['16.48.0.44'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49626988723468857755696475207', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [147281603041, 5265], 'lmfdb_iso': '3120.k', 'lmfdb_label': '3120.k6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -110, 435], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '16.48.0-16.g.1.6', '40.48.0-40.cb.2.3', '80.96.0.?', '96.96.0.?', '104.48.0.?', '130.6.0.?', '208.96.0.?', '260.24.0.?', '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': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 65], [3, 4, 1040], [5, 6, 624], [13, 14, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19687729332525673186026736939', 'prec': 107}, 'szpiro_ratio': 4.230067117160656, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 18509
    {'Ciso': '3120r', 'Clabel': '3120r4', 'Cnumber': 4, 'abc_quality': 1.0535292066299595, 'absD': 11460758999040, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, 3360, -145728], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3120, 'degree': 6144, 'elladic_images': ['16.48.0.44'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1894170677946338869741968735', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1023887723039, 2798036865], 'lmfdb_iso': '3120.k', 'lmfdb_label': '3120.k7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 210, 2277], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '16.48.0-16.g.1.6', '40.48.0-40.ca.1.11', '80.96.0.?', '96.96.0.?', '104.48.0.?', '208.192.2.?', '260.24.0.?', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 65], [3, 4, 1040], [5, 6, 624], [13, 14, 240]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49626988723468857755696475204', 'prec': 103}, 'szpiro_ratio': 4.634429340049074, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 18511
    {'Ciso': '3120r', 'Clabel': '3120r6', 'Cnumber': 6, 'abc_quality': 1.0149811194984983, 'absD': 751777432473600, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 6240, 'ainvs': [0, -1, 0, 9680, 1264000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 3120, 'degree': 12288, 'elladic_images': ['8.48.0.60'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5359906580746065416828129343', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [24487529386319, 183539412225], 'lmfdb_iso': '3120.k', 'lmfdb_label': '3120.k8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 605, -19750], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0-4.d.1.1', '8.48.0-8.q.1.2', '24.96.0-24.be.2.3', '40.96.0-40.bf.1.7', '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': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1040], [5, 6, 624], [13, 14, 240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84284347751466123226558081284', 'prec': 103}, 'szpiro_ratio': 5.173994325213859, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}