Elliptic curve isogeny class data - 130050.e

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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, 0, 0, -4, -1, 0, 0, 0, 0, -2, 4, 0, 1, 0, 0, -4, 0], 'aplist': [-1, 0, 0, -4, 0, -2, 0, -4, 0, -6, -8, 2, -6, 4, 0, -6, 0, 10, 4, 0, 2, -8, 12, -18, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 130050, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '130050.e', 'trace_hash': 570103276556787032}
• lmfdb_iso 130050.e 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: 847933
    {'Ciso': '130050em', 'Clabel': '130050em7', 'Cnumber': 7, 'abc_quality': 1.0818126452233845, 'absD': 22270301748140625000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -346812192, 2486021004216], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 130050, 'degree': 21233664, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3347977577955647534120119156', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '130050.e', 'lmfdb_label': '130050.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': -255, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.3', '40.12.0.v.1', '60.48.0.c.3', '120.192.5.?', '136.12.0.?', '204.48.0.?', '255.8.0.?', '408.192.1.?', '510.24.0.?', '680.24.0.?', '1020.96.0.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.6862348000828282062311933305', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 8, 7225], [5, 18, 5202], [17, 146, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232159', 'prec': 103}, 'szpiro_ratio': 5.995961104567349, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 847934
    {'Ciso': '130050em', 'Clabel': '130050em8', 'Cnumber': 8, 'abc_quality': 1.1359972360691755, 'absD': 1610988263031005859375000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -29490192, 8396838216], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 130050, 'degree': 21233664, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3347977577955647534120119156', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '130050.e', 'lmfdb_label': '130050.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': -255, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.3', '24.96.1.da.1', '40.12.0.bb.1', '120.192.5.?', '136.12.0.?', '255.8.0.?', '340.12.0.?', '408.192.1.?', '510.24.0.?', '680.24.0.?', '1020.96.0.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '26.744939200331312824924773322', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 8, 7225], [5, 18, 5202], [17, 146, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232159', 'prec': 103}, 'szpiro_ratio': 5.368041478736205, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 847932
    {'Ciso': '130050em', 'Clabel': '130050em6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 2474477972015625000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -21687192, 38805129216], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 130050, 'degree': 10616832, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9882241675155920987033958548', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '130050.e', 'lmfdb_label': '130050.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': -255, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '24.96.1.cp.2', '40.12.0.a.1', '60.96.1.h.3', '120.192.5.?', '136.12.0.?', '204.96.0.?', '255.8.0.?', '340.12.0.?', '408.192.1.?', '510.48.0.?', '680.24.0.?', '1020.192.1.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 22, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.6862348000828282062311933305', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 8, 7225], [5, 18, 5202], [17, 146, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626079', 'prec': 103}, 'szpiro_ratio': 5.289743828448033, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 847931
    {'Ciso': '130050em', 'Clabel': '130050em5', 'Cnumber': 5, 'abc_quality': 1.0501740895315954, 'absD': 9279292395058593750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -18761067, -31272638409], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 130050, 'degree': 7077888, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7854916134615099077143892971', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '130050.e', 'lmfdb_label': '130050.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': -255, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.4', '24.96.1.da.3', '40.12.0.bb.1', '120.192.5.?', '136.12.0.?', '255.8.0.?', '340.12.0.?', '408.192.1.?', '510.24.0.?', '680.24.0.?', '1020.96.0.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '26.744939200331312824924773322', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 2, 14450], [5, 18, 5202], [17, 146, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703088', 'prec': 107}, 'szpiro_ratio': 5.252819054655547, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 847930
    {'Ciso': '130050em', 'Clabel': '130050em4', 'Cnumber': 4, 'abc_quality': 1.0339287621454463, 'absD': 1461154497695506406250, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -4455567, 3119084091], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 130050, 'degree': 7077888, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7854916134615099077143892971', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '130050.e', 'lmfdb_label': '130050.e5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': -255, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '24.96.1.dj.4', '40.12.0.v.1', '60.48.0.c.4', '120.192.5.?', '136.12.0.?', '204.48.0.?', '255.8.0.?', '408.192.1.?', '510.24.0.?', '680.24.0.?', '1020.96.0.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.6862348000828282062311933305', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 2, 14450], [5, 18, 5202], [17, 146, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703088', 'prec': 107}, 'szpiro_ratio': 4.886565005609076, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 847928
    {'Ciso': '130050em', 'Clabel': '130050em2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 20043271573326562500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -1204317, -460542159], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 130050, 'degree': 3538944, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4389180231815372530057732364', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '130050.e', 'lmfdb_label': '130050.e6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': -255, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '24.96.1.cp.4', '40.12.0.a.1', '60.96.1.h.1', '120.192.5.?', '136.12.0.?', '204.96.0.?', '255.8.0.?', '340.12.0.?', '408.192.1.?', '510.48.0.?', '680.24.0.?', '1020.192.1.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 20, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.6862348000828282062311933305', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 2, 14450], [5, 18, 5202], [17, 146, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635761', 'prec': 107}, 'szpiro_ratio': 4.553274126314634, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 847929
    {'Ciso': '130050em', 'Clabel': '130050em3', 'Cnumber': 3, 'abc_quality': 1.0491971880149842, 'absD': 422310907224000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, -1, 0, -879192, 1038609216], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 130050, 'degree': 5308416, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6416505772356194439947797941', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-273359449, 1536000], 'lmfdb_iso': '130050.e', 'lmfdb_label': '130050.e7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14, -64], 'min_quad_twist_disc': -255, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.1', '24.96.1.dh.4', '30.24.0.b.1', '40.12.0.bb.1', '60.96.1.n.2', '102.24.0.?', '120.192.5.?', '136.12.0.?', '204.96.0.?', '255.8.0.?', '340.12.0.?', '408.192.1.?', '510.48.0.?', '680.24.0.?', '1020.192.1.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 19, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.6715587000207070515577983326', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 8, 7225], [5, 18, 5202], [17, 146, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979991', 'prec': 107}, 'szpiro_ratio': 4.674468544026547, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 847927
    {'Ciso': '130050em', 'Clabel': '130050em1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 593874713283750000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, -1, 0, 96183, -35278659], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 130050, 'degree': 1769472, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0923444329015645982971571757', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '130050.e', 'lmfdb_label': '130050.e8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': -255, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.2', '24.96.1.dh.3', '30.24.0.b.1', '40.12.0.bb.1', '60.96.1.n.4', '102.24.0.?', '120.192.5.?', '136.12.0.?', '204.96.0.?', '255.8.0.?', '340.12.0.?', '408.192.1.?', '510.48.0.?', '680.24.0.?', '1020.192.1.?', '2040.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 23, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.6715587000207070515577983326', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 65025], [3, 2, 14450], [5, 18, 5202], [17, 146, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241831', 'prec': 107}, 'szpiro_ratio': 4.0999231407736625, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}