Elliptic curve isogeny class data - 194810.c

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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, -2, 1, -1, 2, -1, -1, 1, 1, 0, -2, 4, 1, 2, 1, -6, -1, -8, -1], 'aplist': [-1, -2, -1, -1, 0, 4, -6, -8, 1, -6, -4, -4, -6, 10, 12, 0, -6, -14, 14, 0, -14, 4, 0, -6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 194810, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '194810.c', 'trace_hash': 794300631453545268}
• lmfdb_iso 194810.c 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: 1251347
    {'Ciso': '194810p', 'Clabel': '194810p4', 'Cnumber': 4, 'abc_quality': 0.9889132616747771, 'absD': 3445482470846281250, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 42504, 'ainvs': [1, 0, 1, -20186554, 34907522802], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 194810, 'degree': 16174080, 'elladic_images': ['8.6.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7715736695583598997772562117', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [513516182162686336369, 1944885031250], 'lmfdb_iso': '194810.c', 'lmfdb_label': '194810.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -166831, -26241705], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '24.24.0.y.1', '33.8.0-3.a.1.1', '66.24.0-6.a.1.1', '264.48.0.?', '644.6.0.?', '1288.12.0.?', '1932.24.0.?', '3864.48.1.?', '21252.48.0.?', '42504.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9980239510879208432369385205', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5726260331591746277462844227', 'prec': 100}, 'szpiro_ratio': 5.096576853998634, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1251346
    {'Ciso': '194810p', 'Clabel': '194810p3', 'Cnumber': 3, 'abc_quality': 0.9549350422126542, 'absD': 13648285868164062500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 42504, 'ainvs': [1, 0, 1, -1280304, 528397802], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 194810, 'degree': 8087040, 'elladic_images': ['8.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4250000792783872450686401509', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [131010595463836369, 7704101562500], 'lmfdb_iso': '194810.c', 'lmfdb_label': '194810.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10581, -397955], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '24.24.0.bw.1', '33.8.0-3.a.1.1', '66.24.0-6.a.1.1', '264.48.0.?', '322.6.0.?', '966.24.0.?', '1288.12.0.?', '3864.48.1.?', '10626.48.0.?', '42504.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9960479021758416864738770410', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2260524428792019730376683619', 'prec': 100}, 'szpiro_ratio': 4.417274057268835, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1251345
    {'Ciso': '194810p', 'Clabel': '194810p2', 'Cnumber': 2, 'abc_quality': 0.9905874104765202, 'absD': 2570095154016744200, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 42504, 'ainvs': [1, 0, 1, -343764, 8279786], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 194810, 'degree': 5391360, 'elladic_images': ['8.6.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2222675252243050540796335932', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2535986675931409, 1450751712200], 'lmfdb_iso': '194810.c', 'lmfdb_label': '194810.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2841, -6479], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '24.24.0.y.1', '33.8.0-3.a.1.2', '66.24.0-6.a.1.2', '264.48.0.?', '644.6.0.?', '1288.12.0.?', '1932.24.0.?', '3864.48.1.?', '21252.48.0.?', '42504.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.66600798369597361441231284017', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0233198888251197820486618042', 'prec': 100}, 'szpiro_ratio': 4.09340158850627, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1251344
    {'Ciso': '194810p', 'Clabel': '194810p1', 'Cnumber': 1, 'abc_quality': 0.9246666811359207, 'absD': 6035283152360000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 42504, 'ainvs': [1, 0, 1, -222764, -40313814], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 194810, 'degree': 2695680, 'elladic_images': ['8.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8756939349443323993710175325', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [690080604747409, 3406760000], 'lmfdb_iso': '194810.c', 'lmfdb_label': '194810.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1841, 30121], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '24.24.0.bw.1', '33.8.0-3.a.1.2', '66.24.0-6.a.1.2', '264.48.0.?', '322.6.0.?', '966.24.0.?', '1288.12.0.?', '3864.48.1.?', '10626.48.0.?', '42504.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3320159673919472288246256803', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.67674629854514712734004574352', 'prec': 103}, 'szpiro_ratio': 3.986541723061414, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}