Elliptic curve isogeny class data - 145200.ip

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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, 0, 0, 6, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 1, 0, 0, 0, 6, -6, -4, 0, 2, 8, 2, 6, -12, 8, -6, -12, -14, 4, -8, -6, -8, 12, 10, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 145200, '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': '145200.ip', 'trace_hash': 1099678550646797970}
• lmfdb_iso 145200.ip 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 944081
    {'Ciso': '145200ie', 'Clabel': '145200ie6', 'Cnumber': 6, 'abc_quality': 1.1283678564956034, 'absD': 4251746400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 1, 0, -9681008, -11597112012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 145200, 'degree': 3932160, 'elladic_images': ['16.24.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4836654576861500507200675233', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 223, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1770025017602, 75], 'lmfdb_iso': '145200.ip', 'lmfdb_label': '145200.ip1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3200, -70752], 'min_quad_twist_disc': 220, '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', '24.24.0.bj.1', '40.24.0.cb.2', '48.48.0.x.1', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '220.12.0.?', '240.96.1.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.602330350001499806914902699', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15538605044336860891041337696', 'prec': 107}, 'szpiro_ratio': 5.03712778993601, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 944079
    {'Ciso': '145200ie', 'Clabel': '145200ie4', 'Cnumber': 4, 'abc_quality': 1.1002879811441906, 'absD': 159440490000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, 1, 0, -606008, -180762012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 145200, 'degree': 1966080, 'elladic_images': ['8.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1370918674061773960114514626', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 223, 'isogeny_degrees': [1, 2, 4], 'jinv': [868327204, 5625], 'lmfdb_iso': '145200.ip', 'lmfdb_label': '145200.ip2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -200, -1152], 'min_quad_twist_disc': 220, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.1', '24.48.0.k.1', '40.48.0.v.1', '88.48.0.?', '120.96.1.?', '220.24.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8011651750007499034574513497', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44419737567667915450092676088', 'prec': 107}, 'szpiro_ratio': 4.33771877368573, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 944080
    {'Ciso': '145200ie', 'Clabel': '145200ie5', 'Cnumber': 5, 'abc_quality': 1.077292860781558, 'absD': 66433537500000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 1, 0, -243008, -394932012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 145200, 'degree': 3932160, 'elladic_images': ['8.24.0.92'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4836654576861500507200675233', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 223, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-27995042, 1171875], 'lmfdb_iso': '145200.ip', 'lmfdb_label': '145200.ip3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -80, -2400], 'min_quad_twist_disc': 220, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.1', '24.48.0.bo.1', '80.48.0.?', '176.48.0.?', '220.12.0.?', '240.96.1.?', '440.48.0.?', '528.96.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.602330350001499806914902699', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15538605044336860891041337696', 'prec': 107}, 'szpiro_ratio': 4.4684314533717835, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 944077
    {'Ciso': '145200ie', 'Clabel': '145200ie2', 'Cnumber': 2, 'abc_quality': 1.0257583484881192, 'absD': 14349644100000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, 1, 0, -61508, 1100988], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 145200, 'degree': 983040, 'elladic_images': ['8.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7905182771262047413028354019', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 223, 'isogeny_degrees': [1, 2, 4], 'jinv': [3631696, 2025], 'lmfdb_iso': '145200.ip', 'lmfdb_label': '145200.ip4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -20, 0], 'min_quad_twist_disc': 220, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.2', '20.24.0.c.1', '24.48.0.p.2', '40.48.0.j.1', '44.24.0-4.b.1.2', '88.48.0.?', '120.96.1.?', '220.48.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4005825875003749517287256749', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67524643586332759097333746800', 'prec': 107}, 'szpiro_ratio': 3.7602966141686704, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 944076
    {'Ciso': '145200ie', 'Clabel': '145200ie1', 'Cnumber': 1, 'abc_quality': 0.9923662209495213, 'absD': 19930061250000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 1, 0, -46383, 3823488], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 145200, 'degree': 491520, 'elladic_images': ['16.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4439446868462320865942193411', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 223, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [24918016, 45], 'lmfdb_iso': '145200.ip', 'lmfdb_label': '145200.ip5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -15, 18], 'min_quad_twist_disc': 220, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '10.6.0.a.1', '16.24.0.f.2', '20.12.0.g.1', '24.24.0.by.2', '40.24.0.bj.1', '44.12.0-4.c.1.1', '48.48.0.bq.1', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '220.24.0.?', '240.96.1.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '880.96.0.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7002912937501874758643628374', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79077096595665180920954282165', 'prec': 107}, 'szpiro_ratio': 3.6890609713766627, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 944078
    {'Ciso': '145200ie', 'Clabel': '145200ie3', 'Cnumber': 3, 'abc_quality': 1.065237557462368, 'absD': 929856937680000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 1, 0, 240992, 8965988], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 145200, 'degree': 1966080, 'elladic_images': ['8.24.0.91'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1370918674061773960114514626', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 223, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [54607676, 32805], 'lmfdb_iso': '145200.ip', 'lmfdb_label': '145200.ip6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 80, 80], 'min_quad_twist_disc': 220, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '20.12.0.h.1', '40.48.0.bm.2', '44.12.0-4.c.1.2', '48.48.0.bo.2', '88.48.0.?', '220.24.0.?', '240.96.1.?', '440.96.0.?', '528.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7002912937501874758643628374', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44419737567667915450092676088', 'prec': 107}, 'szpiro_ratio': 4.104972263982408, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}