Elliptic curve isogeny class data - 222530.q

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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, 0, 1, -1, 0, 1, -1, -3, 1, 1, 0, 2, -1, 0, 1, 0, 3, 4, -1], 'aplist': [-1, 0, -1, 1, 1, 2, 0, 4, -4, 2, -8, 10, 6, 12, 12, 6, -12, -6, 8, 8, -14, 0, 4, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 222530, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '222530.q', 'trace_hash': 2228741595867216067}
• lmfdb_iso 222530.q 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: 1422686
    {'Ciso': '222530bi', 'Clabel': '222530bi4', 'Cnumber': 4, 'abc_quality': 1.0551955185358262, 'absD': 216456365484012500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7480, 'ainvs': [1, -1, 0, -944067395, -11164606764175], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 222530, 'degree': 47185920, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4566205185366543985935595428', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [3855131356812007128171561, 8967612500], 'lmfdb_iso': '222530.q', 'lmfdb_label': '222530.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3266669, -2271693567], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '10.6.0.a.1', '20.12.0.g.1', '68.12.0-4.c.1.1', '88.12.0.?', '340.24.0.?', '440.24.0.?', '1496.24.0.?', '7480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '24.826334485203069054745813295', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1445], [5, 6, 44506], [7, 8, 31790], [11, 12, 20230], [17, 146, 770]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0400138465085463584687922339', 'prec': 100}, 'szpiro_ratio': 5.978382214537563, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1422685
    {'Ciso': '222530bi', 'Clabel': '222530bi3', 'Cnumber': 3, 'abc_quality': 1.0373017944728298, 'absD': 4962978245162963867187500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7480, 'ainvs': [1, -1, 0, -62120315, -154985848119], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 222530, 'degree': 47185920, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4566205185366543985935595428', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [1098325674097093229481, 205612182617187500], 'lmfdb_iso': '222530.q', 'lmfdb_label': '222530.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -214949, -31495495], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.z.1', '44.12.0.h.1', '68.12.0-4.c.1.2', '440.24.0.?', '680.24.0.?', '748.24.0.?', '7480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '24.826334485203069054745813295', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3179], [5, 6, 44506], [7, 8, 31790], [11, 12, 20230], [17, 146, 770]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0400138465085463584687922339', 'prec': 100}, 'szpiro_ratio': 5.3153841922733935, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1422684
    {'Ciso': '222530bi', 'Clabel': '222530bi2', 'Cnumber': 2, 'abc_quality': 1.058856764710378, 'absD': 1095698544288906250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3740, 'ainvs': [1, -1, 0, -59004895, -174431676675], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 222530, 'degree': 23592960, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1100469282566817438849434821', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [941226862950447171561, 45393906250000], 'lmfdb_iso': '222530.q', 'lmfdb_label': '222530.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -204169, -35456067], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0.b.1', '44.12.0.a.1', '68.12.0-2.a.1.1', '220.24.0.?', '340.24.0.?', '748.24.0.?', '3740.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.413167242601534527372906648', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [5, 6, 44506], [7, 8, 31790], [11, 12, 20230], [17, 146, 770]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6934402562285737037601761732', 'prec': 100}, 'szpiro_ratio': 5.3028478259345935, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1422683
    {'Ciso': '222530bi', 'Clabel': '222530bi1', 'Cnumber': 1, 'abc_quality': 1.0357476431867876, 'absD': 1224504880797167200000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7480, 'ainvs': [1, -1, 0, -3493775, -3024440339], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 222530, 'degree': 11796480, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7634733379767090891763274214', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [-195395722614328041, 50730248800000], 'lmfdb_iso': '222530.q', 'lmfdb_label': '222530.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -12089, -612755], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.z.1', '88.12.0.?', '110.6.0.?', '136.12.0.?', '220.12.0.?', '340.12.0.?', '440.24.0.?', '680.24.0.?', '748.12.0.?', '1496.24.0.?', '3740.24.0.?', '7480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2065836213007672636864533238', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15895], [5, 6, 44506], [7, 8, 31790], [11, 12, 20230], [17, 146, 770]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3468666659486010490515601125', 'prec': 100}, 'szpiro_ratio': 4.644242329013849, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}