Elliptic curve isogeny class data - 348480.mr

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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, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 1, 0, 0, -2, -6, -4, 0, -6, -8, -6, 10, -4, 8, -10, -12, 6, 4, 0, 14, 0, -4, 6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 348480, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '348480.mr', 'trace_hash': 345245944036804818}
• lmfdb_iso 348480.mr 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: 2179368
    {'Ciso': '348480mr', 'Clabel': '348480mr3', 'Cnumber': 3, 'abc_quality': 1.0052432979893915, 'absD': 209478170920550400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, -229998252, 1342563749296], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 348480, 'degree': 31457280, 'elladic_images': ['16.24.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1702155017893369993628942168', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 329, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [15897679904620804, 2475], 'lmfdb_iso': '348480.mr', 'lmfdb_label': '348480.mr1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -52800, 4687452], 'min_quad_twist_disc': 264, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.1', '24.24.0-8.n.1.2', '40.24.0.cb.1', '44.12.0.h.1', '48.48.0-16.f.1.10', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '880.96.1.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '22.138683681087724534246065398', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 38720], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698075', 'prec': 103}, 'szpiro_ratio': 5.436292029914912, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2179371
    {'Ciso': '348480mr', 'Clabel': '348480mr6', 'Cnumber': 6, 'abc_quality': 0.9967634929262502, 'absD': 4408481429834653715005440, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, -121969452, -508534829264], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 348480, 'degree': 62914560, 'elladic_images': ['16.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5167890920693096540715102775', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 329, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1185450336504002, 26043266205], 'lmfdb_iso': '348480.mr', 'lmfdb_label': '348480.mr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -28000, -1759508], 'min_quad_twist_disc': 264, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.2', '24.24.0-8.n.1.8', '40.24.0.bp.1', '48.48.0-16.f.2.3', '80.48.0.?', '88.24.0.?', '120.48.0.?', '176.48.0.?', '240.96.0.?', '264.48.0.?', '440.48.0.?', '528.96.0.?', '660.12.0.?', '880.96.1.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '88.554734724350898136984261591', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5445], [3, 8, 38720], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78657680554281368133517036466', 'prec': 103}, 'szpiro_ratio': 5.287177293874097, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2179369
    {'Ciso': '348480mr', 'Clabel': '348480mr4', 'Cnumber': 4, 'abc_quality': 0.9815669003008649, 'absD': 203256459766039132569600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -16554252, 14198064496], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 348480, 'degree': 31457280, 'elladic_images': ['8.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1702155017893369993628942168', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 329, 'isogeny_degrees': [1, 2, 4], 'jinv': [5927735656804, 2401490025], 'lmfdb_iso': '348480.mr', 'lmfdb_label': '348480.mr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3800, 50652], 'min_quad_twist_disc': 264, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.2', '24.48.0-8.d.2.8', '40.48.0.n.1', '88.48.0.?', '120.96.0.?', '264.96.0.?', '440.96.1.?', '660.24.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '22.138683681087724534246065398', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 38720], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698075', 'prec': 103}, 'szpiro_ratio': 4.817682341127243, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2179367
    {'Ciso': '348480mr', 'Clabel': '348480mr2', 'Cnumber': 2, 'abc_quality': 1.0278304524202422, 'absD': 129614618257090560000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -14376252, 20973386896], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 348480, 'degree': 15728640, 'elladic_images': ['8.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8236419115093643446542781561', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 329, 'isogeny_degrees': [1, 2, 4], 'jinv': [15529488955216, 6125625], 'lmfdb_iso': '348480.mr', 'lmfdb_label': '348480.mr4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3300, 74052], 'min_quad_twist_disc': 264, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.1', '24.48.0-8.d.1.7', '40.48.0.r.2', '44.24.0.c.1', '88.48.0.?', '120.96.0.?', '264.96.0.?', '440.96.1.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 23, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.5346709202719311335615163494', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 38720], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26671642012285469927224627362', 'prec': 103}, 'szpiro_ratio': 4.784519988674776, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 2179366
    {'Ciso': '348480mr', 'Clabel': '348480mr1', 'Cnumber': 1, 'abc_quality': 1.0588833402519044, 'absD': 51142131572400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, -763752, 429401896], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 348480, 'degree': 7864320, 'elladic_images': ['8.24.0.92'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4770683212293916899456620953', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 329, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-37256083456, 38671875], 'lmfdb_iso': '348480.mr', 'lmfdb_label': '348480.mr5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -175, 1552], 'min_quad_twist_disc': 264, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.1', '22.6.0.a.1', '24.48.0-8.ba.1.3', '44.12.0.g.1', '80.48.0.?', '88.48.0.?', '240.96.0.?', '264.96.0.?', '880.96.1.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 17, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.3836677300679827833903790874', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 38720], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15119189002953048103604091997', 'prec': 103}, 'szpiro_ratio': 4.175029382475769, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2179370
    {'Ciso': '348480mr', 'Clabel': '348480mr5', 'Cnumber': 5, 'abc_quality': 1.0072755098036974, 'absD': 14695692974985575012106240, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, 54012948, 103310324656], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 348480, 'degree': 62914560, 'elladic_images': ['8.24.0.91'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5167890920693096540715102775', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 329, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [102949393183198, 86815346805], 'lmfdb_iso': '348480.mr', 'lmfdb_label': '348480.mr6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 12400, 355212], 'min_quad_twist_disc': 264, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.2', '40.48.0.bk.2', '48.48.0-8.ba.2.4', '176.48.0.?', '240.96.0.?', '264.48.0.?', '528.96.0.?', '660.12.0.?', '880.96.1.?', '1320.96.0.?', '2640.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '88.554734724350898136984261591', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5445], [3, 8, 38720], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78657680554281368133517036466', 'prec': 103}, 'szpiro_ratio': 5.09568947079066, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}