Elliptic curve isogeny class data - 345576.bi

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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, 1, 0, 1, 0, 0, 0, -2, 0, -2, 0, -1, 0, 0, 0], 'aplist': [0, 1, -2, 1, 0, -2, -1, 0, 0, -2, 8, -6, 6, -4, 0, 14, -8, -14, 4, 8, -10, -8, 16, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 345576, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '345576.bi', 'trace_hash': 551860654432478398}
• lmfdb_iso 345576.bi 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: 2160769
    {'Ciso': '345576bi', 'Clabel': '345576bi4', 'Cnumber': 4, 'abc_quality': 1.108049552899778, 'absD': 15422565841385472, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10472, 'ainvs': [0, 1, 0, -21945458344, -1251317839422928], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 345576, 'degree': 199065600, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0899549419062785514996652037', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [322159999717985454060440834, 4250799], 'lmfdb_iso': '345576.bi', 'lmfdb_label': '345576.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -181367424, 940067661600], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '88.24.0.?', '952.24.0.?', '5236.12.0.?', '10472.48.0.?'], '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, 14399], [3, 4, 16456], [7, 8, 49368], [11, 62, 2856], [17, 18, 20328]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2556223899938100791695639700', 'prec': 100}, 'szpiro_ratio': 6.512137568540787, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2160768
    {'Ciso': '345576bi', 'Clabel': '345576bi3', 'Cnumber': 3, 'abc_quality': 1.0422790200862453, 'absD': 3057635818476612613471537152, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10472, 'ainvs': [0, 1, 0, -1375119544, -19446535440400], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 345576, 'degree': 199065600, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0899549419062785514996652037', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [79260902459030376659234, 842751810121431609], 'lmfdb_iso': '345576.bi', 'lmfdb_label': '345576.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -11364624, 14606337312], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '44.12.0-4.c.1.1', '88.24.0.?', '952.24.0.?', '10472.48.0.?'], '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, 121], [3, 4, 16456], [7, 8, 49368], [11, 62, 2856], [17, 18, 20328]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2556223899938100791695639700', 'prec': 100}, 'szpiro_ratio': 5.860519944610512, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2160767
    {'Ciso': '345576bi', 'Clabel': '345576bi2', 'Cnumber': 2, 'abc_quality': 1.0420651643816399, 'absD': 32779113727997761496064, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10472, 'ainvs': [0, 1, 0, -1371591184, -19552183006864], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 345576, 'degree': 99532800, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7433813516263058967910491429', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2], 'jinv': [157304700372188331121828, 18069292138401], 'lmfdb_iso': '345576.bi', 'lmfdb_label': '345576.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -11335464, 14685722496], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '44.12.0-2.a.1.1', '88.24.0.?', '476.12.0.?', '952.24.0.?', '5236.24.0.?', '10472.48.0.?'], '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, 121], [3, 4, 16456], [7, 8, 49368], [11, 62, 2856], [17, 18, 20328]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9668110647604995335790505860', 'prec': 100}, 'szpiro_ratio': 5.8599155783798516, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2160766
    {'Ciso': '345576bi', 'Clabel': '345576bi1', 'Cnumber': 1, 'abc_quality': 1.0167873707918278, 'absD': 746877249988031999966976, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10472, 'ainvs': [0, 1, 0, -85503964, -307173846784], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 345576, 'degree': 49766400, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3968077613463332420824330822', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [-152435594466395827792, 1646846627220711], 'lmfdb_iso': '345576.bi', 'lmfdb_label': '345576.bi4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -706644, 230527296], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '44.12.0-4.c.1.2', '88.24.0.?', '238.6.0.?', '476.12.0.?', '952.24.0.?', '5236.24.0.?', '10472.48.0.?'], '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, 14399], [3, 4, 16456], [7, 8, 49368], [11, 62, 2856], [17, 18, 20328]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7357620045738510971066398789', 'prec': 100}, 'szpiro_ratio': 5.208538125447034, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}