Elliptic curve isogeny class data - 421800.r

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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, 0, 0, 0, 0, 1, 0, 4, 0, 2, 0, 0, 0, -2, 0, 1, 0], 'aplist': [0, -1, 0, 0, 4, 2, -2, 1, 0, -2, -8, -1, 10, 4, -8, 10, -4, -10, -4, -8, -10, -8, -12, 2, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 421800, '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': '421800.r', 'trace_hash': 566748853315020015}
• lmfdb_iso 421800.r 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: 2610646
    {'Ciso': '421800r', 'Clabel': '421800r6', 'Cnumber': 6, 'abc_quality': 1.0050723695172024, 'absD': 7491168000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 56240, 'ainvs': [0, -1, 0, -249705608, -1518681688788], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 421800, 'degree': 27262976, 'elladic_images': ['16.24.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0386674241034119831720672584', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [53809458751271244978434, 234099], 'lmfdb_iso': '421800.r', 'lmfdb_label': '421800.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -9988224, -12153448800], 'min_quad_twist_disc': 5, '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', '20.12.0-4.c.1.1', '40.24.0-8.n.1.5', '80.48.0.?', '152.24.0.?', '296.24.0.?', '304.48.0.?', '592.48.0.?', '760.48.0.?', '1480.48.0.?', '1520.96.0.?', '2960.96.0.?', '5624.48.0.?', '11248.96.1.?', '28120.96.0.?', '56240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 475], [3, 4, 140600], [5, 14, 16872], [19, 20, 22200], [37, 38, 11400]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5985635523730785955725581471', 'prec': 100}, 'szpiro_ratio': 5.37518857583918, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2610644
    {'Ciso': '421800r', 'Clabel': '421800r4', 'Cnumber': 4, 'abc_quality': 0.9746787246431069, 'absD': 876837468816000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 28120, 'ainvs': [0, -1, 0, -15606608, -23725474788], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 421800, 'degree': 13631488, 'elladic_images': ['8.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6920938338234393284634511977', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [26274189238602645028, 54802341801], 'lmfdb_iso': '421800.r', 'lmfdb_label': '421800.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -624264, -190053504], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.1', '20.24.0-4.b.1.1', '40.48.0-8.d.1.2', '152.48.0.?', '296.48.0.?', '760.96.0.?', '1480.96.0.?', '5624.96.1.?', '28120.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 140600], [5, 14, 16872], [19, 20, 22200], [37, 38, 11400]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3097522271397680499820447632', 'prec': 100}, 'szpiro_ratio': 4.733003535016359, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2610645
    {'Ciso': '421800r', 'Clabel': '421800r5', 'Cnumber': 5, 'abc_quality': 0.9754441228809531, 'absD': 19220287571855712000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 56240, 'ainvs': [0, -1, 0, -15435608, -24270964788], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 421800, 'degree': 27262976, 'elladic_images': ['8.24.0.92'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0386674241034119831720672584', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-12709983426958940834, 600633986620491], 'lmfdb_iso': '421800.r', 'lmfdb_label': '421800.r3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -617424, -194414688], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.1', '20.12.0-4.c.1.1', '40.48.0-8.ba.1.7', '152.48.0.?', '592.48.0.?', '760.96.0.?', '2960.96.0.?', '11248.96.1.?', '56240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 475], [3, 4, 140600], [5, 14, 16872], [19, 20, 22200], [37, 38, 11400]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5985635523730785955725581471', 'prec': 100}, 'szpiro_ratio': 4.736512156858963, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2610642
    {'Ciso': '421800r', 'Clabel': '421800r2', 'Cnumber': 2, 'abc_quality': 0.9342370525678674, 'absD': 4682177579556000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 28120, 'ainvs': [0, -1, 0, -986108, -361915788], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 421800, 'degree': 6815744, 'elladic_images': ['8.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3455202435434666737548351369', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [26511701882112592, 1170544394889], 'lmfdb_iso': '421800.r', 'lmfdb_label': '421800.r4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -39444, -2911104], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.2', '20.24.0-4.b.1.3', '40.48.0-8.d.2.1', '148.24.0.?', '152.48.0.?', '296.48.0.?', '740.48.0.?', '760.96.0.?', '1480.96.0.?', '5624.96.1.?', '28120.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 140600], [5, 14, 16872], [19, 20, 22200], [37, 38, 11400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0787031669531196135096340560', 'prec': 100}, 'szpiro_ratio': 4.093344239835894, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2610641
    {'Ciso': '421800r', 'Clabel': '421800r1', 'Cnumber': 1, 'abc_quality': 0.9489180653804891, 'absD': 143743763099250000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 56240, 'ainvs': [0, -1, 0, -165983, 18622212], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 421800, 'degree': 3407872, 'elladic_images': ['16.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9989466532634940190462190762', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2022912739489792, 574975052397], 'lmfdb_iso': '421800.r', 'lmfdb_label': '421800.r5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -6639, 146322], 'min_quad_twist_disc': 5, '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', '20.12.0-4.c.1.2', '40.24.0-8.n.1.1', '74.6.0.?', '80.48.0.?', '148.12.0.?', '152.24.0.?', '296.24.0.?', '304.48.0.?', '592.48.0.?', '740.24.0.?', '760.48.0.?', '1480.48.0.?', '1520.96.0.?', '2960.96.0.?', '5624.48.0.?', '11248.96.1.?', '28120.96.0.?', '56240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 925], [3, 4, 140600], [5, 14, 16872], [19, 20, 22200], [37, 38, 11400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.96317863685979539527342870243', 'prec': 103}, 'szpiro_ratio': 3.6806266477899916, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2610643
    {'Ciso': '421800r', 'Clabel': '421800r3', 'Cnumber': 3, 'abc_quality': 0.9854979810419444, 'absD': 814395814942032000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 56240, 'ainvs': [0, -1, 0, 512392, -1365910788], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 421800, 'degree': 13631488, 'elladic_images': ['8.24.0.91'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6920938338234393284634511977', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [929843593713212, 50899738433877], 'lmfdb_iso': '421800.r', 'lmfdb_label': '421800.r6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 20496, -10919088], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '20.12.0-4.c.1.2', '40.48.0-8.ba.2.3', '148.12.0.?', '296.48.0.?', '304.48.0.?', '740.24.0.?', '1480.96.0.?', '1520.96.0.?', '11248.96.1.?', '56240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 925], [3, 4, 140600], [5, 14, 16872], [19, 20, 22200], [37, 38, 11400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3097522271397680499820447632', 'prec': 100}, 'szpiro_ratio': 4.292143306794599, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}