Elliptic curve isogeny class data - 1600.p

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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, 1, 0, 0, 0, -2, 0, -2, 0, -3, 0, 4, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, 1, 0, -2, -3, 4, -3, 5, -6, 0, -2, -2, -3, -4, -12, -6, 0, -2, -13, -12, 11, 10, -9, 15, 2], 'class_deg': 15, 'class_size': 4, 'conductor': 1600, 'isogeny_matrix': [[1, 15, 3, 5], [15, 1, 5, 3], [3, 5, 1, 15], [5, 3, 15, 1]], 'lmfdb_iso': '1600.p', 'trace_hash': 241942744924766728}
• ec_padic •

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

  
  
  • id: 43021
    {'lmfdb_iso': '1600.p', 'p': 7, 'prec': 20, 'unit': 4784871715885855, 'val': 1}
  • id: 43026
    {'lmfdb_iso': '1600.p', 'p': 11, 'prec': 20, 'unit': 5307619516408063449, 'val': 1}
  • id: 43024
    {'lmfdb_iso': '1600.p', 'p': 13, 'prec': 20, 'unit': 837249850498942607864, 'val': 1}
  • id: 43027
    {'lmfdb_iso': '1600.p', 'p': 17, 'prec': 20, 'unit': 196331231927201317879578, 'val': 1}
  • id: 43028
    {'lmfdb_iso': '1600.p', 'p': 19, 'prec': 20, 'unit': 9778449170335266902227, 'val': 1}
  • id: 43031
    {'lmfdb_iso': '1600.p', 'p': 23, 'prec': 20, 'unit': 40570282320690086871207970, 'val': 1}
  • id: 43036
    {'lmfdb_iso': '1600.p', 'p': 31, 'prec': 20, 'unit': 7939449190953644380990366276, 'val': 1}
  • id: 43020
    {'lmfdb_iso': '1600.p', 'p': 37, 'prec': 20, 'unit': 259543356894833649765134879335, 'val': 1}
  • id: 43022
    {'lmfdb_iso': '1600.p', 'p': 41, 'prec': 20, 'unit': 1064899021695925854638941469577, 'val': 1}
  • id: 43023
    {'lmfdb_iso': '1600.p', 'p': 43, 'prec': 20, 'unit': 92799943454308364935328372019, 'val': 1}
  • id: 43025
    {'lmfdb_iso': '1600.p', 'p': 47, 'prec': 20, 'unit': 638375955368961038836293598474, 'val': 1}
  • id: 43029
    {'lmfdb_iso': '1600.p', 'p': 53, 'prec': 20, 'unit': 266249131536717776590460426949571, 'val': 1}
  • id: 43035
    {'lmfdb_iso': '1600.p', 'p': 61, 'prec': 20, 'unit': 6192317049143152007253948619366204, 'val': 1}
  • id: 43019
    {'lmfdb_iso': '1600.p', 'p': 67, 'prec': 20, 'unit': 19240017638396802374254138499488801, 'val': 1}
  • id: 43033
    {'lmfdb_iso': '1600.p', 'p': 71, 'prec': 20, 'unit': 74248318856712973146576392804208, 'val': 1}
  • id: 43030
    {'lmfdb_iso': '1600.p', 'p': 73, 'prec': 20, 'unit': 134479259005891351690808962925294324, 'val': 1}
  • id: 43034
    {'lmfdb_iso': '1600.p', 'p': 79, 'prec': 20, 'unit': 1005497697969533750447553670394091362, 'val': 1}
  • id: 43018
    {'lmfdb_iso': '1600.p', 'p': 83, 'prec': 20, 'unit': 2615231314715610269434400551100322103, 'val': 1}
  • id: 43032
    {'lmfdb_iso': '1600.p', 'p': 89, 'prec': 20, 'unit': 2301495930406099707517858254525917880, 'val': 1}
  • id: 43017
    {'lmfdb_iso': '1600.p', 'p': 97, 'prec': 20, 'unit': 14349490932547891124021977231929497561, '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
  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: 8786
    {'Ciso': '1600v', 'Clabel': '1600v2', 'Cnumber': 2, 'abc_quality': 1.050775872125697, 'absD': 1310720000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -8033, 274463], 'analytic_rank': 1, 'bad_primes': [2, 5], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 1600, 'degree': 1152, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86292731903009127706964542065', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-349938025, 8], 'lmfdb_iso': '1600.p', 'lmfdb_label': '1600.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -126, -552], 'min_quad_twist_disc': -8, 'modell_images': ['3B', '5B.4.2'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.2', '6.8.0-3.a.1.2', '8.2.0.a.1', '10.24.0-5.a.2.1', '15.96.1.a.1', '24.16.0-24.a.1.1', '30.192.1-15.a.1.1', '40.48.1-40.bx.2.6', '120.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.18136751406185493055437443303', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71327275595452681192312253928', 'prec': 107}, 'szpiro_ratio': 5.230274871882733, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 8787
    {'Ciso': '1600v', 'Clabel': '1600v3', 'Cnumber': 3, 'abc_quality': 0.9433414068835279, 'absD': 3276800000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -4833, -157537], 'analytic_rank': 1, 'bad_primes': [2, 5], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 1600, 'degree': 1920, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1183401309130866186724024688', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 5, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-121945, 32], 'lmfdb_iso': '1600.p', 'lmfdb_label': '1600.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3, 1], 'min_quad_twist_disc': -40, 'modell_images': ['3B', '5B.4.1'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.1', '6.8.0-3.a.1.1', '8.2.0.a.1', '10.24.0-5.a.1.2', '15.96.1.a.4', '24.16.0-24.a.1.3', '30.192.1-15.a.4.3', '40.48.1-40.bx.1.4', '120.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7205127109278239583156164955', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.99433924821623159518728526887', 'prec': 107}, 'szpiro_ratio': 5.074361832990419, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 8785
    {'Ciso': '1600v', 'Clabel': '1600v1', 'Cnumber': 1, 'abc_quality': 1.0904350906962674, 'absD': 327680000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -33, 863], 'analytic_rank': 1, 'bad_primes': [2, 5], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 1600, 'degree': 384, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.31362117469603643137202280219', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-25, 2], 'lmfdb_iso': '1600.p', 'lmfdb_label': '1600.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, -2], 'min_quad_twist_disc': -8, 'modell_images': ['3B', '5B.4.2'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.2', '6.8.0-3.a.1.1', '8.2.0.a.1', '10.24.0-5.a.2.1', '15.96.1.a.2', '24.16.0-24.a.1.3', '30.192.1-15.a.2.1', '40.48.1-40.bx.2.6', '120.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.54410254218556479166312329910', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2625789002885816576207451577', 'prec': 103}, 'szpiro_ratio': 3.6690648372147616, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 8788
    {'Ciso': '1600v', 'Clabel': '1600v4', 'Cnumber': 4, 'abc_quality': 1.0629647337743247, 'absD': 3355443200000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, 35167, 1162463], 'analytic_rank': 1, 'bad_primes': [2, 5], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 1600, 'degree': 5760, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6676462752471414643700250873', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 15, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [46969655, 32768], 'lmfdb_iso': '1600.p', 'lmfdb_label': '1600.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 22, -9], 'min_quad_twist_disc': -40, 'modell_images': ['3B', '5B.4.1'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.1', '6.8.0-3.a.1.2', '8.2.0.a.1', '10.24.0-5.a.1.2', '15.96.1.a.3', '24.16.0-24.a.1.1', '30.192.1-15.a.3.3', '40.48.1-40.bx.1.4', '120.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.90683757030927465277187216516', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44503310388217674948966265037', 'prec': 107}, 'szpiro_ratio': 5.830654728286151, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}