Elliptic curve isogeny class data - 71058.m

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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, 1, 1, -1, 1, 1, 1, 1, -1, -2, 1, 1, 1, -1, 1, -3, 1, -8, -1], 'aplist': [1, 1, -1, 1, -2, 1, -3, -8, -4, 9, 4, 3, 7, 9, -8, -2, 4, -1, 12, 9, -10, 10, 0, -15, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 71058, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '71058.m', 'trace_hash': 729722566703576783}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 3648456
    {'lmfdb_iso': '71058.m', 'p': 5, 'prec': 20, 'unit': 1083496789084, 'val': 2}
  • id: 3648457
    {'lmfdb_iso': '71058.m', 'p': 7, 'prec': 20, 'unit': 42156045272053568, 'val': 0}
  • id: 3648463
    {'lmfdb_iso': '71058.m', 'p': 11, 'prec': 20, 'unit': 315196736535405082, 'val': 2}
  • id: 3648464
    {'lmfdb_iso': '71058.m', 'p': 17, 'prec': 20, 'unit': 65369348530578816524494, 'val': 1}
  • id: 3648465
    {'lmfdb_iso': '71058.m', 'p': 19, 'prec': 20, 'unit': 1935991769104495459705153, 'val': 1}
  • id: 3648469
    {'lmfdb_iso': '71058.m', 'p': 23, 'prec': 20, 'unit': 51117622120301543936786320, 'val': 1}
  • id: 3648461
    {'lmfdb_iso': '71058.m', 'p': 29, 'prec': 20, 'unit': 1976589794646879540826785015, 'val': 1}
  • id: 3648458
    {'lmfdb_iso': '71058.m', 'p': 31, 'prec': 20, 'unit': 21021902618953382365737874693, 'val': 1}
  • id: 3648474
    {'lmfdb_iso': '71058.m', 'p': 37, 'prec': 20, 'unit': 463427880268315956716245510758, 'val': 1}
  • id: 3648459
    {'lmfdb_iso': '71058.m', 'p': 41, 'prec': 20, 'unit': 1564487517991800356709942319874, 'val': 1}
  • id: 3648460
    {'lmfdb_iso': '71058.m', 'p': 43, 'prec': 20, 'unit': 6588142011010243836799134250473, 'val': 1}
  • id: 3648472
    {'lmfdb_iso': '71058.m', 'p': 47, 'prec': 20, 'unit': 31202827893581978435917354196239, 'val': 1}
  • id: 3648466
    {'lmfdb_iso': '71058.m', 'p': 53, 'prec': 20, 'unit': 76030983026225051742709390638130, 'val': 1}
  • id: 3648467
    {'lmfdb_iso': '71058.m', 'p': 59, 'prec': 20, 'unit': 2349401763620530460794450697348021, 'val': 1}
  • id: 3648473
    {'lmfdb_iso': '71058.m', 'p': 61, 'prec': 20, 'unit': 4231839722891804071880257274941513, 'val': 1}
  • id: 3648455
    {'lmfdb_iso': '71058.m', 'p': 67, 'prec': 20, 'unit': 12295648555560225142698252359015461, 'val': 1}
  • id: 3648471
    {'lmfdb_iso': '71058.m', 'p': 71, 'prec': 20, 'unit': 52568136601403186103157877574489049, 'val': 1}
  • id: 3648468
    {'lmfdb_iso': '71058.m', 'p': 73, 'prec': 20, 'unit': 87053321959661187877600636473334784, 'val': 1}
  • id: 3648462
    {'lmfdb_iso': '71058.m', 'p': 79, 'prec': 20, 'unit': 402289838485855475972191080171785956, 'val': 1}
  • id: 3648470
    {'lmfdb_iso': '71058.m', 'p': 89, 'prec': 20, 'unit': 6391107212185085237245825399394101514, 'val': 1}
  • id: 3648454
    {'lmfdb_iso': '71058.m', 'p': 97, 'prec': 20, 'unit': 9505194240708838758367001144843748412, 'val': 1}
• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 470157
    {'Ciso': '71058l', 'Clabel': '71058l2', 'Cnumber': 2, 'abc_quality': 1.0076991634619563, 'absD': 81236880320586561709476, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 497406, 'ainvs': [1, 0, 0, -307716981, -2077644355683], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 911], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 71058, 'degree': 16134720, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5040467911903940811220868069', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 7], 'jinv': [3222389999241959100048447349969, 81236880320586561709476], 'lmfdb_iso': '71058.m', 'lmfdb_label': '71058.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -307716981, -2077644355683], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '71058.2.0.?', '497406.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.012431372304453552660150075', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 35529], [3, 4, 23686], [7, 2, 78], [13, 14, 5466], [911, 912, 78]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.5040467911903940811220868069', 'prec': 100}, 'szpiro_ratio': 6.28825469568871, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 470156
    {'Ciso': '71058l', 'Clabel': '71058l1', 'Cnumber': 1, 'abc_quality': 0.9745861118960863, 'absD': 2048285853033578496, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 497406, 'ainvs': [1, 0, 0, -5118321, 4456008297], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 911], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 71058, 'degree': 2304960, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5310917166627374285694104351', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 7], 'jinv': [14828809162780998661814929, 2048285853033578496], 'lmfdb_iso': '71058.m', 'lmfdb_label': '71058.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5118321, 4456008297], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '71058.2.0.?', '497406.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1446330531863505075228785821', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 35529], [3, 4, 23686], [7, 2, 911], [13, 14, 5466], [911, 912, 78]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5310917166627374285694104351', 'prec': 100}, 'szpiro_ratio': 5.188193366131236, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}