Elliptic curve isogeny class data - 20070.be

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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, 1, 0, 1, 1, 0, 0, 1, 0, 1, -4, 0, -2, 0, 0, 1, 2, 0, -4, 1], 'aplist': [1, 0, 1, 0, -4, -2, 2, -4, -4, 6, 8, -6, -10, 0, 0, 6, 4, 10, 12, 8, -14, 0, 4, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 20070, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '20070.be', 'trace_hash': 2228552281093687696}
• lmfdb_iso 20070.be 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: 132997
    {'Ciso': '20070bg', 'Clabel': '20070bg3', 'Cnumber': 3, 'abc_quality': 1.0355870514972314, 'absD': 1561627812884944390630848000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26760, 'ainvs': [1, -1, 1, -757697342, -7799122947891], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 223], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20070, 'degree': 11073024, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9917257193050454984997133793', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [65990812340278189764070806169, 2142150634958771454912000], 'lmfdb_iso': '20070.be', 'lmfdb_label': '20070.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -84188593, 288828342613], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '24.24.0-24.bb.1.14', '8920.24.0.?', '13380.12.0.?', '26760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 10035], [3, 6, 223], [5, 6, 4014], [223, 224, 90]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4424195749709906528020907608', 'prec': 100}, 'szpiro_ratio': 7.363593764341905, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 132996
    {'Ciso': '20070bg', 'Clabel': '20070bg2', 'Cnumber': 2, 'abc_quality': 1.0296679923614238, 'absD': 57528067766942306304000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26760, 'ainvs': [1, -1, 1, -115457342, 308001020109], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 223], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20070, 'degree': 5536512, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6451521290250728437910973185', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2], 'jinv': [233486000400975208694166169, 78913673205682176000000], 'lmfdb_iso': '20070.be', 'lmfdb_label': '20070.be2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -12828593, -11411721387], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '24.24.0-24.a.1.4', '8920.24.0.?', '13380.24.0.?', '26760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 6, 223], [5, 6, 4014], [223, 224, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0958459846910179980934747000', 'prec': 100}, 'szpiro_ratio': 6.793879495908033, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 132995
    {'Ciso': '20070bg', 'Clabel': '20070bg1', 'Cnumber': 1, 'abc_quality': 1.0212587424451942, 'absD': 27486126489062080512000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26760, 'ainvs': [1, -1, 1, -103660862, 406176045261], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 223], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20070, 'degree': 2768256, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2985785387451001890824812578', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [168982070711351853939176089, 37703877214076928000], 'lmfdb_iso': '20070.be', 'lmfdb_label': '20070.be3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11517873, -15047396523], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.bb.1.4', '6690.6.0.?', '8920.24.0.?', '13380.24.0.?', '26760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 10035], [3, 6, 223], [5, 6, 4014], [223, 224, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7492723944110453433848586393', 'prec': 100}, 'szpiro_ratio': 6.761242965505167, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
  • id: 132998
    {'Ciso': '20070bg', 'Clabel': '20070bg4', 'Cnumber': 4, 'abc_quality': 1.0411090664419977, 'absD': 4435558239797373375000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26760, 'ainvs': [1, -1, 1, 338038978, 2131781820621], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 223], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 20070, 'degree': 11073024, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9917257193050454984997133793', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 4], 'jinv': [5859985279907178462243106151, 6084442029900375000000000], 'lmfdb_iso': '20070.be', 'lmfdb_label': '20070.be4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 37559887, -78942362283], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.v.1.1', '8920.24.0.?', '26760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 6, 223], [5, 6, 4014], [223, 224, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4424195749709906528020907608', 'prec': 100}, 'szpiro_ratio': 7.1191834514758465, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}