Elliptic curve isogeny class data - 304704.bj

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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, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, -8, 0], 'aplist': [0, 0, -2, 0, 0, 2, 2, -8, 0, -2, -8, 2, -10, 8, -8, -2, -4, 2, 8, 0, -6, -8, 16, 18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 304704, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '304704.bj', 'trace_hash': 1601158005579068436}
• lmfdb_iso 304704.bj 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: 1917189
    {'Ciso': '304704bj', 'Clabel': '304704bj3', 'Cnumber': 3, 'abc_quality': 1.0646600114779046, 'absD': 8538121601502225629184, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, -75268236, 251303058160], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 304704, 'degree': 25952256, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2117882765157375052268482225', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [1666957239793, 301806], 'lmfdb_iso': '304704.bj', 'lmfdb_label': '304704.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -247, 1391], 'min_quad_twist_disc': 552, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '24.24.0-8.p.1.2', '184.24.0.?', '276.12.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7714663025266066909651706494', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4761], [3, 8, 33856], [23, 288, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.055014253377189850000001005947', 'prec': 107}, 'szpiro_ratio': 5.228700950883607, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1917190
    {'Ciso': '304704bj', 'Clabel': '304704bj4', 'Cnumber': 4, 'abc_quality': 0.97631048127559, 'absD': 142501132408062522949632, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, -32609676, -69335742224], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 304704, 'degree': 25952256, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2117882765157375052268482225', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [135559106353, 5037138], 'lmfdb_iso': '304704.bj', 'lmfdb_label': '304704.bj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -107, -457], 'min_quad_twist_disc': 552, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '24.24.0-8.k.1.4', '184.24.0.?', '276.12.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.085865210106426763860682597', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4761], [3, 8, 33856], [23, 288, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.055014253377189850000001005947', 'prec': 107}, 'szpiro_ratio': 5.029973748795387, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1917188
    {'Ciso': '304704bj', 'Clabel': '304704bj2', 'Cnumber': 2, 'abc_quality': 0.9444691501696788, 'absD': 4848809798383979986944, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, -5186316, 3072897520], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 304704, 'degree': 12976128, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8652146862357648505182321617', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2], 'jinv': [545338513, 171396], 'lmfdb_iso': '304704.bj', 'lmfdb_label': '304704.bj3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17, 11], 'min_quad_twist_disc': 552, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '12.12.0-2.a.1.2', '24.24.0-8.a.1.4', '92.12.0.?', '184.24.0.?', '276.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5429326050532133819303412987', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 4761], [3, 8, 33856], [23, 288, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29155933690278280470861505485', 'prec': 107}, 'szpiro_ratio': 4.593154683953212, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1917187
    {'Ciso': '304704bj', 'Clabel': '304704bj1', 'Cnumber': 1, 'abc_quality': 0.898775602359137, 'absD': 93696807698241159168, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [0, 0, 0, 907764, 325686256], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 304704, 'degree': 6488064, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5186410959557921958096161010', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [2924207, 3312], 'lmfdb_iso': '304704.bj', 'lmfdb_label': '304704.bj4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 3, 3], 'min_quad_twist_disc': 552, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '24.24.0-8.p.1.4', '46.6.0.a.1', '92.12.0.?', '184.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7714663025266066909651706494', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 4761], [3, 8, 33856], [23, 288, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63813292718275545941723111556', 'prec': 107}, 'szpiro_ratio': 4.179094051526149, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}