Elliptic curve isogeny class data - 24.a

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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, -2, 0, 0, 0, 1, 0, 4, 0, -2, 0, 2, 0, 2, 0, -4, 0], 'aplist': [0, -1, -2, 0, 4, -2, 2, -4, -8, 6, 8, 6, -6, 4, 0, -2, 4, -2, -4, 8, 10, -8, -4, -6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 24, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '24.a', 'trace_hash': 906478665263567321}
• lmfdb_iso 24.a 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: 38
    {'Ciso': '24a', 'Clabel': '24a5', 'Cnumber': 5, 'abc_quality': 1.2105879594055395, 'absD': 18432, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, -1, 0, -384, -2772], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 4, 'elladic_images': ['16.96.0.135'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.047794894480088036758221444632', 'prec': 107}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3065617154, 9], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -384, -2772], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.r.1.6', '16.96.0-16.l.1.6', '24.96.0-24.bf.1.4', '48.192.1-48.bv.1.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800004', 'prec': 107}, 'szpiro_ratio': 9.272383446160896, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 36
    {'Ciso': '24a', 'Clabel': '24a3', 'Cnumber': 3, 'abc_quality': 1.0561716345991692, 'absD': 3072, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, -1, 0, -64, 220], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 2, 'elladic_images': ['16.96.0.106'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29877869579988461795039461610', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.2.4', '12.24.0-12.h.1.2', '16.96.0-16.bb.2.4', '24.96.0-24.bn.1.3', '48.192.1-48.em.1.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 7.585093903458143, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 35
    {'Ciso': '24a', 'Clabel': '24a2', 'Cnumber': 2, 'abc_quality': 1.0321229303519712, 'absD': 82944, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 24, 'ainvs': [0, -1, 0, -24, -36], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 2, 'elladic_images': ['8.96.0.49'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29877869579988461795039461610', 'prec': 107}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [1556068, 81], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, -36], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.e.2.2', '24.192.1-24.bl.2.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 6.667333412613923, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 34
    {'Ciso': '24a', 'Clabel': '24a1', 'Cnumber': 1, 'abc_quality': 0.972547111469975, 'absD': 2304, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 24, 'ainvs': [0, -1, 0, -4, 4], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 1, 'elladic_images': ['8.96.0.42'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.64535228607985727265901067683', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [35152, 9], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4, 4], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.96.0-8.h.1.6', '12.48.0-12.c.1.1', '24.192.1-24.bu.1.7'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1074504064531541456038320911', 'prec': 103}, 'szpiro_ratio': 5.038496858107288, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
  • id: 37
    {'Ciso': '24a', 'Clabel': '24a4', 'Cnumber': 4, 'abc_quality': 1.1757189916348774, 'absD': 48, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, -1, 0, 1, 0], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 2, 'elladic_images': ['16.96.0.110'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.99192587635982992736762673756', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2048, 3], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a5', 'lmfdb_number': 5, 'manin_constant': 2, 'min_quad_twist_ainvs': [0, -1, 0, 1, 0], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '6.6.0.a.1', '8.48.0-8.ba.1.2', '12.24.0-12.g.1.2', '16.96.0-16.y.1.2', '24.96.0-24.bi.2.3', '48.192.1-48.dt.1.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2229749365464783638400374447', 'prec': 103}, 'szpiro_ratio': 3.4056352351102572, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 39
    {'Ciso': '24a', 'Clabel': '24a6', 'Cnumber': 6, 'abc_quality': 1.1597991410868231, 'absD': 13436928, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, -1, 0, 16, -180], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 24, 'degree': 4, 'elladic_images': ['8.96.0.166'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.047794894480088036758221444632', 'prec': 107}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [207646, 6561], 'lmfdb_iso': '24.a', 'lmfdb_label': '24.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 16, -180], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.96.0-8.m.1.2', '48.192.1-48.w.2.4'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1], [3, 4, 8]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58759002103319516354090800004', 'prec': 107}, 'szpiro_ratio': 7.504514900845317, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}