Formats: - HTML - YAML - JSON - 2026-07-27T07:55:36.884474
  • ec_classdata • Show schema
    {'anlist': [0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 2, 0, 0, 0, 1, 0, 4, 0], 'aplist': [0, 0, 0, 2, -4, 2, 1, 4, -6, -8, -2, 4, 2, -4, -12, 6, -4, 4, 4, 6, -6, -10, 12, 10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 4896, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4896.k', 'trace_hash': 105351902846272024}
  • ec_padic • Show schema
    • id: 178506
      {'lmfdb_iso': '4896.k', 'p': 7, 'prec': 20, 'unit': 843703396380949, 'val': 2}
    • id: 178504
      {'lmfdb_iso': '4896.k', 'p': 11, 'prec': 20, 'unit': 15880286057333331883, 'val': 1}
    • id: 178510
      {'lmfdb_iso': '4896.k', 'p': 13, 'prec': 20, 'unit': 1268927137156368912094, 'val': 1}
    • id: 178513
      {'lmfdb_iso': '4896.k', 'p': 19, 'prec': 20, 'unit': 797937076757477294991335, 'val': 1}
    • id: 178516
      {'lmfdb_iso': '4896.k', 'p': 23, 'prec': 20, 'unit': 16121844427353503428280640, 'val': 1}
    • id: 178509
      {'lmfdb_iso': '4896.k', 'p': 29, 'prec': 20, 'unit': 794843777556197215437289448, 'val': 1}
    • id: 178522
      {'lmfdb_iso': '4896.k', 'p': 31, 'prec': 20, 'unit': 14855125076056675702404434457, 'val': 1}
    • id: 178505
      {'lmfdb_iso': '4896.k', 'p': 37, 'prec': 20, 'unit': 569073341388712685214218388996, 'val': 1}
    • id: 178507
      {'lmfdb_iso': '4896.k', 'p': 41, 'prec': 20, 'unit': 579619737984611573838371049017, 'val': 1}
    • id: 178508
      {'lmfdb_iso': '4896.k', 'p': 43, 'prec': 20, 'unit': 4461843354144541268623504233503, 'val': 1}
    • id: 178519
      {'lmfdb_iso': '4896.k', 'p': 47, 'prec': 20, 'unit': 7670074312148564025460371019043, 'val': 1}
    • id: 178514
      {'lmfdb_iso': '4896.k', 'p': 53, 'prec': 20, 'unit': 2961504751801630344269967235158, 'val': 1}
    • id: 178512
      {'lmfdb_iso': '4896.k', 'p': 59, 'prec': 20, 'unit': 1058191341096960511121106589164752, 'val': 1}
    • id: 178520
      {'lmfdb_iso': '4896.k', 'p': 61, 'prec': 20, 'unit': 416369033890644034380227564604946, 'val': 1}
    • id: 178503
      {'lmfdb_iso': '4896.k', 'p': 67, 'prec': 20, 'unit': 8403530611798328917823476035609138, 'val': 1}
    • id: 178518
      {'lmfdb_iso': '4896.k', 'p': 71, 'prec': 20, 'unit': 68362090194772663422859508214399218, 'val': 1}
    • id: 178515
      {'lmfdb_iso': '4896.k', 'p': 73, 'prec': 20, 'unit': 59963522662078632980932187592668758, 'val': 1}
    • id: 178511
      {'lmfdb_iso': '4896.k', 'p': 79, 'prec': 20, 'unit': 656923630645264848305843477873052354, 'val': 1}
    • id: 178521
      {'lmfdb_iso': '4896.k', 'p': 83, 'prec': 20, 'unit': 1375928798840872455770696859478574606, 'val': 1}
    • id: 178517
      {'lmfdb_iso': '4896.k', 'p': 89, 'prec': 20, 'unit': 5016714829496190546400380632006935788, 'val': 1}
    • id: 178502
      {'lmfdb_iso': '4896.k', 'p': 97, 'prec': 20, 'unit': 47486216572989243671535999187936535421, 'val': 1}
  • ec_curvedata • Show schema
    • id: 30270
      {'Ciso': '4896d', 'Clabel': '4896d1', 'Cnumber': 1, 'abc_quality': 0.7744619258696578, 'absD': 793152, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [0, 0, 0, -45, 108], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4896, 'degree': 512, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.12417036687259210677517187216', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [216000, 17], 'lmfdb_iso': '4896.k', 'lmfdb_label': '4896.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -5, 4], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '34.6.0.a.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4330096978216390019275605336', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 153], [3, 6, 544], [17, 18, 288]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0200501014866196071814105514', 'prec': 103}, 'szpiro_ratio': 2.711054526267855, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
    • id: 30271
      {'Ciso': '4896d', 'Clabel': '4896d2', 'Cnumber': 2, 'abc_quality': 1.2424379096229237, 'absD': 107868672, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [0, 0, 0, 45, 486], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4896, 'degree': 1024, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.22240322340738054793344418857', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [27000, 289], 'lmfdb_iso': '4896.k', 'lmfdb_label': '4896.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 5, 18], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '68.6.0.c.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.71650484891081950096378026678', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 6, 544], [17, 18, 288]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.84676330634663327982710252098', 'prec': 107}, 'szpiro_ratio': 3.047908778852146, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}