Elliptic curve isogeny class data - 61050.u

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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, 0, 1, 4, -1, 1, 0, 1, -1, 4, -4, 0, 1, 6, -1, 2, 0], 'aplist': [-1, -1, 0, 4, 1, 4, 6, 2, 6, -6, -4, -1, 6, -2, 0, -6, 6, 8, 4, -12, -2, 2, 12, 0, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 61050, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '61050.u', 'trace_hash': 1077080613783764201}
• lmfdb_iso 61050.u 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: 404229
    {'Ciso': '61050i', 'Clabel': '61050i4', 'Cnumber': 4, 'abc_quality': 1.0602295206334975, 'absD': 3447569812500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24420, 'ainvs': [1, 1, 0, -27014950, -54056114000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 61050, 'degree': 2985984, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5624725895095591916499736916', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [139545621883503188502625, 220644468], 'lmfdb_iso': '61050.u', 'lmfdb_label': '61050.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1080598, -432448912], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.1', '30.24.0-6.a.1.1', '74.6.0.?', '132.24.0.?', '222.24.0.?', '660.48.0.?', '1110.48.0.?', '4884.48.1.?', '24420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 925], [3, 4, 550], [5, 14, 2442], [11, 12, 5550], [37, 38, 1650]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7577536332925090043495940250', 'prec': 100}, 'szpiro_ratio': 5.712564120677415, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 404228
    {'Ciso': '61050i', 'Clabel': '61050i3', 'Cnumber': 3, 'abc_quality': 1.0298767255440278, 'absD': 21167242874250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24420, 'ainvs': [1, 1, 0, -1688450, -845137500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 61050, 'degree': 1492992, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2158989992295865369413576309', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [34069730739753390625, 1354703543952], 'lmfdb_iso': '61050.u', 'lmfdb_label': '61050.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -67538, -6761100], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.1', '30.24.0-6.a.1.1', '66.24.0.b.1', '148.6.0.?', '330.48.0.?', '444.24.0.?', '2220.48.0.?', '4884.48.1.?', '24420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 825], [3, 4, 550], [5, 14, 2442], [11, 12, 5550], [37, 38, 1650]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4111800430125363496409779643', 'prec': 100}, 'szpiro_ratio': 4.957740723452023, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 404227
    {'Ciso': '61050i', 'Clabel': '61050i2', 'Cnumber': 2, 'abc_quality': 1.0214304364495703, 'absD': 47784314853000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24420, 'ainvs': [1, 1, 0, -334450, -73839500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 61050, 'degree': 995328, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0131664451755043459523510731', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [264788619837198625, 3058196150592], 'lmfdb_iso': '61050.u', 'lmfdb_label': '61050.u3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -13378, -590716], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.2', '30.24.0-6.a.1.2', '74.6.0.?', '132.24.0.?', '222.24.0.?', '660.48.0.?', '1110.48.0.?', '4884.48.1.?', '24420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 925], [3, 4, 925], [5, 14, 2442], [11, 12, 5550], [37, 38, 1650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2084474889584541586519714065', 'prec': 100}, 'szpiro_ratio': 4.51695343996853, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 404226
    {'Ciso': '61050i', 'Clabel': '61050i1', 'Cnumber': 1, 'abc_quality': 1.0125399750027195, 'absD': 3148656192000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 24420, 'ainvs': [1, 1, 0, -38450, 1048500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 61050, 'degree': 497664, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6665928548955316912437350124', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [402355893390625, 201513996288], 'lmfdb_iso': '61050.u', 'lmfdb_label': '61050.u4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1538, 8388], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.2', '30.24.0-6.a.1.2', '66.24.0.b.1', '148.6.0.?', '330.48.0.?', '444.24.0.?', '2220.48.0.?', '4884.48.1.?', '24420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 825], [3, 4, 925], [5, 14, 2442], [11, 12, 5550], [37, 38, 1650]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86187389867848150394335534579', 'prec': 103}, 'szpiro_ratio': 3.9280537201851313, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}