Formats: - HTML - YAML - JSON - 2026-10-05T12:04:51.001518
  • ec_classdata • Show schema
    {'anlist': [0, 1, -1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 0, 1, -6, 0, -2, 0], 'aplist': [-1, 0, 0, -1, 0, 0, -6, -2, 0, 6, 4, -2, 6, 8, -12, -6, -6, 8, 4, 0, -2, 8, -6, -6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 21294, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '21294.q', 'trace_hash': 2270009455668092353}
  • lmfdb_iso 21294.q does not appear in ec_padic
  • ec_curvedata • Show schema
    • id: 141249
      {'Ciso': '21294o', 'Clabel': '21294o6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 88278243475968, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, -1, 0, -4153122, 3258731412], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 21294, 'degree': 311040, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2448818034879076713051486941', 'prec': 97}, 'faltings_index': 5, 'faltings_ratio': 18, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '21294.q', 'lmfdb_label': '21294.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '39.8.0-3.a.1.1', '56.12.0.k.1', '63.36.0.d.1', '72.72.1.?', '78.24.0.?', '84.24.0.?', '117.24.0.?', '126.108.2.?', '168.48.1.?', '234.72.0.?', '252.216.7.?', '312.48.0.?', '504.432.21.?', '819.72.0.?', '936.144.1.?', '1092.48.0.?', '1638.216.2.?', '2184.96.1.?', '3276.432.7.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 6, 1183], [7, 8, 3042], [13, 86, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235485', 'prec': 97}, 'szpiro_ratio': 5.752626611837176, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
    • id: 141248
      {'Ciso': '21294o', 'Clabel': '21294o5', 'Cnumber': 5, 'abc_quality': 1.0293250379726038, 'absD': 6456922951385088, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, -1, 0, -259362, 51051924], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 21294, 'degree': 155520, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8983082132079350165965326334', 'prec': 97}, 'faltings_index': 4, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-548347731625, 1835008], 'lmfdb_iso': '21294.q', 'lmfdb_label': '21294.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, -874], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '39.8.0-3.a.1.1', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.1', '72.72.1.?', '78.24.0.?', '117.24.0.?', '126.216.7.?', '168.48.1.?', '234.72.0.?', '312.48.0.?', '504.432.21.?', '546.48.0.?', '819.72.0.?', '936.144.1.?', '1638.432.7.?', '2184.96.1.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 10647], [3, 6, 1183], [7, 8, 3042], [13, 86, 126]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.066527390143111802872166294155', 'prec': 97}, 'szpiro_ratio': 4.918364736096281, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
    • id: 141247
      {'Ciso': '21294o', 'Clabel': '21294o4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 3311813477903112, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, -1, 0, -54027, 3975453], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 21294, 'degree': 103680, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6955756591538528256075260756', 'prec': 97}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '21294.q', 'lmfdb_label': '21294.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.b.1', '24.72.1.h.1', '28.6.0.c.1', '39.24.0-3.a.1.1', '56.12.0.k.1', '63.36.0.a.1', '78.72.0.?', '84.72.1.?', '126.108.2.?', '168.144.5.?', '252.216.7.?', '312.144.1.?', '504.432.21.?', '819.72.0.?', '1092.144.1.?', '1638.216.2.?', '2184.288.5.?', '3276.432.7.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 2, 169], [7, 8, 3042], [13, 86, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026365', 'prec': 97}, 'szpiro_ratio': 4.445567738225206, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
    • id: 141245
      {'Ciso': '21294o', 'Clabel': '21294o2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 344836888578, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, -1, 0, -16002, -774630], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 21294, 'degree': 34560, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1462695148197979799099034572', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '21294.q', 'lmfdb_label': '21294.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '39.8.0-3.a.1.2', '56.12.0.k.1', '63.36.0.d.2', '72.72.1.?', '78.24.0.?', '84.24.0.?', '117.24.0.?', '126.108.2.?', '168.48.1.?', '234.72.0.?', '252.216.7.?', '312.48.0.?', '504.432.21.?', '819.72.0.?', '936.144.1.?', '1092.48.0.?', '1638.216.2.?', '2184.96.1.?', '3276.432.7.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 2, 2366], [7, 8, 3042], [13, 86, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288204', 'prec': 97}, 'szpiro_ratio': 4.0793004569244, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
    • id: 141244
      {'Ciso': '21294o', 'Clabel': '21294o1', 'Cnumber': 1, 'abc_quality': 1.0171207213859017, 'absD': 98524825308, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, -1, 0, -792, -17172], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 21294, 'degree': 17280, 'elladic_images': ['8.6.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79969592453982532520128739643', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [-15625, 28], 'lmfdb_iso': '21294.q', 'lmfdb_label': '21294.q5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1, 0], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.c.1', '9.12.0.a.1', '14.6.0.b.1', '18.36.0.a.1', '24.24.0.bw.1', '39.8.0-3.a.1.2', '42.24.0.b.1', '56.12.0.n.1', '63.36.0.d.2', '72.72.1.?', '78.24.0.?', '117.24.0.?', '126.216.7.?', '168.48.1.?', '234.72.0.?', '312.48.0.?', '504.432.21.?', '546.48.0.?', '819.72.0.?', '936.144.1.?', '1638.432.7.?', '2184.96.1.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 10647], [3, 2, 2366], [7, 8, 3042], [13, 86, 126]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0320848985249978885230789428', 'prec': 97}, 'szpiro_ratio': 3.316029490946237, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
    • id: 141246
      {'Ciso': '21294o', 'Clabel': '21294o3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 77243463041472, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 6552, 'ainvs': [1, -1, 0, 6813, 361557], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 21294, 'degree': 51840, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3490020688738801708989100149', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '21294.q', 'lmfdb_label': '21294.q6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '39.24.0-3.a.1.1', '42.72.1.d.1', '56.12.0.n.1', '63.36.0.a.1', '78.72.0.?', '126.216.7.?', '168.144.5.?', '312.144.1.?', '504.432.21.?', '546.144.1.?', '819.72.0.?', '1638.432.7.?', '2184.288.5.?', '6552.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 10647], [3, 2, 169], [7, 8, 3042], [13, 86, 126]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 97}, 'szpiro_ratio': 3.9261675507569054, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}