Elliptic curve isogeny class data - 76050.ch

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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, 0, 0, 2, -1, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, -2, 0], 'aplist': [-1, 0, 0, 2, 0, 0, 0, -2, -6, 0, 4, 2, -6, 4, 0, -6, 0, -10, 8, 0, 8, 8, 12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 76050, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '76050.ch', 'trace_hash': 1235185926067837604}
• lmfdb_iso 76050.ch 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: 502260
    {'Ciso': '76050bh', 'Clabel': '76050bh4', 'Cnumber': 4, 'abc_quality': 0.9869421687813174, 'absD': 597104439408585316406250, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -45478692, 112052593966], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 76050, 'degree': 9289728, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3163229917638287948807008745', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [189208196468929, 10860320250], 'lmfdb_iso': '76050.ch', 'lmfdb_label': '76050.ch1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1196, -15210], 'min_quad_twist_disc': -195, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.16', '40.6.0.b.1', '60.24.0-6.a.1.9', '120.48.0.?', '156.24.0.?', '195.8.0.?', '312.48.0.?', '390.24.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 38025], [3, 8, 8450], [5, 18, 3042], [13, 98, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67982321248195539385595486864', 'prec': 103}, 'szpiro_ratio': 5.739925857000523, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 502258
    {'Ciso': '76050bh', 'Clabel': '76050bh2', 'Cnumber': 2, 'abc_quality': 0.9529644067700619, 'absD': 270945468811850625000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -7833942, -8400339284], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 76050, 'degree': 3096576, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7670168474297739491830782560', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [967068262369, 4928040], 'lmfdb_iso': '76050.ch', 'lmfdb_label': '76050.ch2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -206, 1116], 'min_quad_twist_disc': -195, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.8', '40.6.0.b.1', '60.24.0-6.a.1.5', '120.48.0.?', '156.24.0.?', '195.8.0.?', '312.48.0.?', '390.24.0.?', '780.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 38025], [3, 2, 4225], [5, 18, 3042], [13, 98, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13051706814790054815833225014', 'prec': 103}, 'szpiro_ratio': 5.27046545211185, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 502257
    {'Ciso': '76050bh', 'Clabel': '76050bh1', 'Cnumber': 1, 'abc_quality': 1.0814038063027782, 'absD': 30876976502775000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -228942, -270594284], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 76050, 'degree': 1548288, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4204432571498012944744621953', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-24137569, 561600], 'lmfdb_iso': '76050.ch', 'lmfdb_label': '76050.ch3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6, 36], 'min_quad_twist_disc': -195, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.8', '30.24.0-6.a.1.3', '40.6.0.c.1', '78.24.0.?', '120.48.0.?', '195.8.0.?', '312.48.0.?', '390.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 38025], [3, 2, 4225], [5, 18, 3042], [13, 98, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21605652213207210655028381056', 'prec': 107}, 'szpiro_ratio': 4.658345878060033, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 502259
    {'Ciso': '76050bh', 'Clabel': '76050bh3', 'Cnumber': 3, 'abc_quality': 1.0889768744744426, 'absD': 22648476688233398437500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 0, 2052558, 7151125216], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 76050, 'degree': 4644864, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9697494014838561401720848138', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [17394111071, 411937500], 'lmfdb_iso': '76050.ch', 'lmfdb_label': '76050.ch4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 54, -960], 'min_quad_twist_disc': -195, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.16', '30.24.0-6.a.1.4', '40.6.0.c.1', '78.24.0.?', '120.48.0.?', '195.8.0.?', '312.48.0.?', '390.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 38025], [3, 8, 8450], [5, 18, 3042], [13, 98, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33324962220198273914733880794', 'prec': 103}, 'szpiro_ratio': 5.2409995024075355, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}