Elliptic curve isogeny class data - 1200.m

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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, -2, 0, 1, 0, -2, 0, 6, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 1, 0, -2, -2, 6, 2, 0, 4, 0, 8, 2, 2, 4, 8, 6, -10, 2, 8, -12, -4, 0, 4, -10, -8], 'class_deg': 10, 'class_size': 4, 'conductor': 1200, 'isogeny_matrix': [[1, 5, 2, 10], [5, 1, 10, 2], [2, 10, 1, 5], [10, 2, 5, 1]], 'lmfdb_iso': '1200.m', 'trace_hash': 1314888146922343221}
• lmfdb_iso 1200.m 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: 6373
    {'Ciso': '1200q', 'Clabel': '1200q4', 'Cnumber': 4, 'abc_quality': 1.0757503122978644, 'absD': 15116544000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 120, 'ainvs': [0, 1, 0, -331208, -73238412], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 1200, 'degree': 9600, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9638875006598874883089485196', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 10, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [502270291349, 1889568], 'lmfdb_iso': '1200.m', 'lmfdb_label': '1200.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -828, 9072], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '20.72.0-10.a.2.7', '24.6.0.j.1', '40.144.1-40.bf.1.1', '60.144.1-60.cj.2.6', '120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 400], [5, 14, 16]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.063661885774366897941146898223', 'prec': 107}, 'szpiro_ratio': 7.016159735862778, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6371
    {'Ciso': '1200q', 'Clabel': '1200q2', 'Cnumber': 2, 'abc_quality': 1.1285185879751438, 'absD': 144000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 120, 'ainvs': [0, 1, 0, -21208, 1181588], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 1200, 'degree': 1920, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1591685444428373010085688529', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [131872229, 18], 'lmfdb_iso': '1200.m', 'lmfdb_label': '1200.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -53, -153], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '20.72.0-10.a.1.7', '24.6.0.j.1', '40.144.1-40.bf.2.1', '60.144.1-60.cj.1.6', '120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 400], [5, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74105707044268328935923276848', 'prec': 107}, 'szpiro_ratio': 5.853258348184763, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6372
    {'Ciso': '1200q', 'Clabel': '1200q3', 'Cnumber': 3, 'abc_quality': 1.0975364253149262, 'absD': 1990656000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 120, 'ainvs': [0, 1, 0, -11208, -2198412], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 1200, 'degree': 4800, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6173139103799148336003324588', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-19465109, 248832], 'lmfdb_iso': '1200.m', 'lmfdb_label': '1200.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -28, 272], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '20.72.0-10.a.2.7', '24.6.0.j.1', '30.72.1.i.1', '40.144.1-40.bl.2.5', '60.144.1-30.i.1.7', '120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 4, 400], [5, 14, 16]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28291170450560575676746916258', 'prec': 107}, 'szpiro_ratio': 6.02620203286124, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 6370
    {'Ciso': '1200q', 'Clabel': '1200q1', 'Cnumber': 1, 'abc_quality': 1.1033940611435318, 'absD': 96000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 120, 'ainvs': [0, 1, 0, -1208, 21588], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 1200, 'degree': 960, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81259495416286464629995279222', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [-24389, 12], 'lmfdb_iso': '1200.m', 'lmfdb_label': '1200.m4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3, -3], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '5B.4.2'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.2', '10.36.0.a.1', '20.72.0-10.a.1.7', '24.6.0.j.1', '30.72.1.i.2', '40.144.1-40.bl.1.7', '60.144.1-30.i.2.7', '120.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 15], [3, 4, 400], [5, 14, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0876306607226559440678488292', 'prec': 103}, 'szpiro_ratio': 4.727720143330758, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}