Elliptic curve isogeny class data - 30960.bf

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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, 1, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, 1, -2, 0, 2, 6, -8, 6, 6, 4, 8, -6, -1, 6, 12, 0, -4, 4, 0, -10, -8, 0, -6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 30960, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '30960.bf', 'trace_hash': 142563450356114232}
• lmfdb_iso 30960.bf 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: 205989
    {'Ciso': '30960bw', 'Clabel': '30960bw3', 'Cnumber': 3, 'abc_quality': 1.0812363982118323, 'absD': 6259745124000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1032, 'ainvs': [0, 0, 0, -4940067, -1835863774], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 30960, 'degree': 1658880, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8766619074288636906790197170', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4465136636671380769, 2096375976562500], 'lmfdb_iso': '30960.bf', 'lmfdb_label': '30960.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -34306, -1065280], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '12.24.0-6.a.1.3', '24.48.0-24.bx.1.5', '258.24.0.?', '516.48.0.?', '1032.96.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6342085825348635355641649771', 'prec': 100}, 'szpiro_ratio': 5.594753029125917, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 205987
    {'Ciso': '30960bw', 'Clabel': '30960bw1', 'Cnumber': 1, 'abc_quality': 0.9917652285848838, 'absD': 101089771683840000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1032, 'ainvs': [0, 0, 0, -2529507, 1548391394], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 30960, 'degree': 552960, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3273557630948088449813970985', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [599437478278595809, 33854760000], 'lmfdb_iso': '30960.bf', 'lmfdb_label': '30960.bf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -17566, 894596], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '12.24.0-6.a.1.9', '24.48.0-24.bx.1.1', '258.24.0.?', '516.48.0.?', '1032.96.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0849024382008086898665423586', 'prec': 100}, 'szpiro_ratio': 5.400558080407506, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 205988
    {'Ciso': '30960bw', 'Clabel': '30960bw2', 'Cnumber': 2, 'abc_quality': 0.9959095663032368, 'absD': 427796244851399884800, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1032, 'ainvs': [0, 0, 0, -2385507, 1732452194], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 30960, 'degree': 1105920, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6739293533747814996900131593', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-502780379797811809, 143268096832200], 'lmfdb_iso': '30960.bf', 'lmfdb_label': '30960.bf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -16566, 1001196], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '12.24.0-6.a.1.9', '24.48.0-24.p.1.9', '516.48.0.?', '1032.96.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4314760284807813445751584194', 'prec': 100}, 'szpiro_ratio': 5.422273279057456, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 205990
    {'Ciso': '30960bw', 'Clabel': '30960bw4', 'Cnumber': 4, 'abc_quality': 1.0342771283155843, 'absD': 430007232015821952000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1032, 'ainvs': [0, 0, 0, 17559933, -13900363774], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 30960, 'degree': 3317760, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2232354977088363453876357777', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 31, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [200541749524551119231, 144008551960031250], 'lmfdb_iso': '30960.bf', 'lmfdb_label': '30960.bf4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 121944, -8034030], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '12.24.0-6.a.1.3', '24.48.0-24.p.1.11', '516.48.0.?', '1032.96.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9807821728148361902727810378', 'prec': 100}, 'szpiro_ratio': 5.962698539043235, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}