Elliptic curve isogeny class data - 301180.a

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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, -2, 0, -1, 0, -4, 0, 1, 0, -1, 0, 4, 0, 2, 0, 0, 0, 4, 0], 'aplist': [0, -2, -1, -4, -1, 4, 0, 4, 6, 6, -8, 0, 6, -8, 6, -6, 12, -2, -10, -12, -16, -8, 0, -6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 301180, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '301180.a', 'trace_hash': 1094037893210967450}
• lmfdb_iso 301180.a 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: 1896039
    {'Ciso': '301180a', 'Clabel': '301180a4', 'Cnumber': 4, 'abc_quality': 0.9734387724171747, 'absD': 21855883842425600, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24420, 'ainvs': [0, 1, 0, -9720356, -11667879356], 'analytic_rank': 2, 'bad_primes': [2, 5, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 301180, 'degree': 11197440, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5199092423274954375142502002', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154639330142416, 33275], 'lmfdb_iso': '301180.a', 'lmfdb_label': '301180.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7100, -232652], 'min_quad_twist_disc': 37, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.c.1', '44.6.0.a.1', '60.24.0.q.1', '111.8.0.?', '132.24.0.?', '220.12.0.?', '222.24.0.?', '660.48.1.?', '2220.48.0.?', '4884.48.0.?', '24420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '17.722250762360311447701526466', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 15059], [3, 2, 27380], [5, 6, 60236], [11, 12, 27380], [37, 686, 220]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25235216563208634238538095038', 'prec': 103}, 'szpiro_ratio': 4.746777805566485, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1896038
    {'Ciso': '301180a', 'Clabel': '301180a3', 'Cnumber': 3, 'abc_quality': 1.026119420484522, 'absD': 363627267428355920, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24420, 'ainvs': [0, 1, 0, -609661, -181115100], 'analytic_rank': 2, 'bad_primes': [2, 5, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 301180, 'degree': 5598720, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1733356520475227828056341395', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [610462990336, 8857805], 'lmfdb_iso': '301180.a', 'lmfdb_label': '301180.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -445, -3720], 'min_quad_twist_disc': 37, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '30.24.0.a.1', '44.6.0.b.1', '111.8.0.?', '132.24.0.?', '220.12.0.?', '222.24.0.?', '660.48.1.?', '1110.48.0.?', '4884.48.0.?', '24420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '17.722250762360311447701526466', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 6845], [3, 2, 27380], [5, 6, 60236], [11, 12, 27380], [37, 686, 220]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13682763553876212414917559683', 'prec': 103}, 'szpiro_ratio': 4.088282624704444, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1896037
    {'Ciso': '301180a', 'Clabel': '301180a2', 'Cnumber': 2, 'abc_quality': 0.8781924989889901, 'absD': 112891961996000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24420, 'ainvs': [0, 1, 0, -137356, -11118156], 'analytic_rank': 2, 'bad_primes': [2, 5, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 301180, 'degree': 3732480, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9706030979934405918166275817', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [436334416, 171875], 'lmfdb_iso': '301180.a', 'lmfdb_label': '301180.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -100, -252], 'min_quad_twist_disc': 37, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.c.1', '44.6.0.a.1', '60.24.0.q.1', '111.8.0.?', '132.24.0.?', '220.12.0.?', '222.24.0.?', '660.48.1.?', '2220.48.0.?', '4884.48.0.?', '24420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '17.722250762360311447701526466', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 15059], [3, 2, 60236], [5, 6, 60236], [11, 12, 27380], [37, 686, 220]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29695397870196850331224166812', 'prec': 107}, 'szpiro_ratio': 3.733878261080848, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1896036
    {'Ciso': '301180a', 'Clabel': '301180a1', 'Cnumber': 1, 'abc_quality': 0.9670463504502834, 'absD': 620905790978000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24420, 'ainvs': [0, 1, 0, -62061, 5808160], 'analytic_rank': 2, 'bad_primes': [2, 5, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 301180, 'degree': 1866240, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6240295077134679371080115210', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [643956736, 15125], 'lmfdb_iso': '301180.a', 'lmfdb_label': '301180.a4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -45, 100], 'min_quad_twist_disc': 37, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '30.24.0.a.1', '44.6.0.b.1', '111.8.0.?', '132.24.0.?', '220.12.0.?', '222.24.0.?', '660.48.1.?', '1110.48.0.?', '4884.48.0.?', '24420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '17.722250762360311447701526466', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 6845], [3, 2, 60236], [5, 6, 60236], [11, 12, 27380], [37, 686, 220]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41247850879529272154844702167', 'prec': 107}, 'szpiro_ratio': 3.5449540759893825, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}