Elliptic curve isogeny class data - 242550.mm

Formats: - HTML - YAML - JSON - 2025-10-09T22:28:04.951616

• 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, 0, 0, 0, 1, 0, 0, 1, 0, -2, 0, 0, 1, -2, 0, 4, 0], 'aplist': [1, 0, 0, 0, 1, -2, -2, 4, 0, 2, 0, 2, 2, 12, -8, 6, -12, -6, -4, 0, -6, -16, -4, 10, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 242550, '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': '242550.mm', 'trace_hash': 1503710661536791600}
• lmfdb_iso 242550.mm 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: 1543500
    {'Ciso': '242550mm', 'Clabel': '242550mm6', 'Cnumber': 6, 'abc_quality': 1.0074430799323078, 'absD': 380042748083496093750, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [1, -1, 1, -42832355, -107881387603], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 242550, 'degree': 18874368, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0270688155611653182368733069', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 324, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6484907238722641, 283593750], 'lmfdb_iso': '242550.mm', 'lmfdb_label': '242550.mm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3885, -93525], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0.bj.1', '80.24.0.?', '88.24.0.?', '112.24.0.?', '240.48.0.?', '264.48.0.?', '280.24.0.?', '336.48.0.?', '420.12.0.?', '560.48.0.?', '840.48.0.?', '880.48.0.?', '1232.48.0.?', '1680.96.0.?', '2640.96.1.?', '3080.48.0.?', '3696.96.0.?', '6160.96.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.7726360695410853011818495417', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 8, 26950], [5, 18, 9702], [7, 26, 4950], [11, 12, 22050]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70008864048240363268619465010', 'prec': 103}, 'szpiro_ratio': 5.188499652125167, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1543497
    {'Ciso': '242550mm', 'Clabel': '242550mm3', 'Cnumber': 3, 'abc_quality': 0.990076389601979, 'absD': 1934320849590937500, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [1, -1, 1, -12954605, 17949803897], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 242550, 'degree': 9437184, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6804952252811926635282572462', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 324, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [179415687049201, 1443420], 'lmfdb_iso': '242550.mm', 'lmfdb_label': '242550.mm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1175, 15405], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '40.24.0.cb.1', '48.24.0.h.1', '88.24.0.?', '112.24.0.?', '168.24.0.?', '220.12.0.?', '240.48.0.?', '336.48.0.?', '420.12.0.?', '440.48.0.?', '528.48.0.?', '560.48.0.?', '840.48.0.?', '924.12.0.?', '1232.48.0.?', '1680.96.0.?', '1848.48.0.?', '2640.96.1.?', '3696.96.0.?', '4620.24.0.?', '6160.96.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3863180347705426505909247708', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121275], [3, 8, 26950], [5, 18, 9702], [7, 26, 4950], [11, 12, 22050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35351505020243097797757858940', 'prec': 103}, 'szpiro_ratio': 4.899158732190039, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1543498
    {'Ciso': '242550mm', 'Clabel': '242550mm4', 'Cnumber': 4, 'abc_quality': 0.9688781293995236, 'absD': 441457656173789062500, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -2811605, -1506234103], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 242550, 'degree': 9437184, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6804952252811926635282572462', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 324, 'isogeny_degrees': [1, 2, 4], 'jinv': [1834216913521, 329422500], 'lmfdb_iso': '242550.mm', 'lmfdb_label': '242550.mm3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -255, -1323], 'min_quad_twist_disc': 105, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.e.1', '40.24.0.i.1', '56.24.0-4.b.1.2', '88.24.0.?', '120.48.0.?', '168.48.0.?', '264.48.0.?', '280.48.0.?', '420.24.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '1320.96.1.?', '1848.96.0.?', '3080.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3863180347705426505909247708', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 8, 26950], [5, 18, 9702], [7, 26, 4950], [11, 12, 22050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35351505020243097797757858940', 'prec': 103}, 'szpiro_ratio': 4.529523973989155, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1543496
    {'Ciso': '242550mm', 'Clabel': '242550mm2', 'Cnumber': 2, 'abc_quality': 0.9379136566213516, 'absD': 5253710949506250000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -827105, 267908897], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 242550, 'degree': 4718592, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3339216350012200088196411855', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 324, 'isogeny_degrees': [1, 2, 4], 'jinv': [46694890801, 3920400], 'lmfdb_iso': '242550.mm', 'lmfdb_label': '242550.mm4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -75, 225], 'min_quad_twist_disc': 105, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.l.1', '40.24.0.i.2', '56.24.0-4.b.1.3', '88.24.0.?', '120.48.0.?', '168.48.0.?', '220.24.0.?', '264.48.0.?', '280.48.0.?', '420.24.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '924.24.0.?', '1320.96.1.?', '1848.96.0.?', '3080.96.0.?', '4620.48.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6931590173852713252954623854', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 8, 26950], [5, 18, 9702], [7, 26, 4950], [11, 12, 22050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0069414599224583232689625287026', 'prec': 110}, 'szpiro_ratio': 4.233471947720136, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1543495
    {'Ciso': '242550mm', 'Clabel': '242550mm1', 'Cnumber': 1, 'abc_quality': 0.921271538093497, 'absD': 169816919580000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [1, -1, 1, 54895, 19184897], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 242550, 'degree': 2359296, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9873480447212473541110251247', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 324, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13651919, 126720], 'lmfdb_iso': '242550.mm', 'lmfdb_label': '242550.mm5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 5, 17], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '48.24.0.h.1', '56.24.0-8.n.1.8', '80.24.0.?', '110.6.0.?', '120.24.0.?', '176.24.0.?', '220.12.0.?', '240.48.0.?', '264.24.0.?', '336.48.0.?', '420.12.0.?', '440.24.0.?', '528.48.0.?', '560.48.0.?', '840.48.0.?', '880.48.0.?', '924.12.0.?', '1232.48.0.?', '1320.48.0.?', '1680.96.0.?', '1848.48.0.?', '2640.96.1.?', '3080.48.0.?', '3696.96.0.?', '4620.24.0.?', '6160.96.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.84657950869263566264773119271', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 121275], [3, 8, 26950], [5, 18, 9702], [7, 26, 4950], [11, 12, 22050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33963213035751433143965353210', 'prec': 107}, 'szpiro_ratio': 3.7957886467655997, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1543499
    {'Ciso': '242550mm', 'Clabel': '242550mm5', 'Cnumber': 5, 'abc_quality': 1.0027749166866642, 'absD': 43089210293602971093750, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [1, -1, 1, 5457145, -8700046603], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 242550, 'degree': 18874368, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0270688155611653182368733069', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 324, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13411719834479, 32153832150], 'lmfdb_iso': '242550.mm', 'lmfdb_label': '242550.mm6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 495, -7473], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0.bn.1', '40.24.0.cb.2', '56.24.0-8.n.1.4', '120.48.0.?', '168.48.0.?', '176.24.0.?', '280.48.0.?', '420.12.0.?', '528.48.0.?', '840.96.0.?', '880.48.0.?', '1232.48.0.?', '2640.96.1.?', '3696.96.0.?', '6160.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6931590173852713252954623854', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 8, 26950], [5, 18, 9702], [7, 26, 4950], [11, 12, 22050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.70008864048240363268619465010', 'prec': 103}, 'szpiro_ratio': 4.782337005860387, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}