-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, -1, 0, 2, 0, 0, 0, 1, 0, 4, 0, -1, 0, -2, 0, 6, 0, 4, 0], 'aplist': [0, -1, 2, 0, 4, -1, 6, 4, 0, 6, 0, 6, 6, -4, 0, -2, 4, 2, -4, 0, 6, -8, 12, -10, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 30576, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '30576.bi', 'trace_hash': 774836226092644862}
-
lmfdb_iso 30576.bi does not appear in ec_padic
-
ec_curvedata • Show schema
Hide schema
-
id: 203509
{'Ciso': '30576d', 'Clabel': '30576d6', 'Cnumber': 6, 'abc_quality': 1.0362567238567626, 'absD': 15984060438528, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [0, -1, 0, -138692752, -628632494048], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 30576, 'degree': 1769472, 'elladic_images': ['16.24.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9242438012562619246524934327', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1224522642327678150914, 66339], 'lmfdb_iso': '30576.bi', 'lmfdb_label': '30576.bi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2830464, -1831939092], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0-8.n.1.2', '24.24.0-8.n.1.8', '28.12.0-4.c.1.2', '48.48.0-48.g.1.32', '56.24.0-8.n.1.5', '104.24.0.?', '112.48.0.?', '168.48.0.?', '208.48.0.?', '312.48.0.?', '336.96.0.?', '624.96.0.?', '728.48.0.?', '1456.96.0.?', '2184.96.0.?', '4368.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 637], [3, 4, 10192], [7, 32, 624], [13, 14, 2352]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3159038112153220718006876163', 'prec': 100}, 'szpiro_ratio': 6.5702082348005275, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
id: 203507
{'Ciso': '30576d', 'Clabel': '30576d4', 'Cnumber': 4, 'abc_quality': 1.0073457381943538, 'absD': 530183292715754496, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -8668312, -9820179200], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 30576, 'degree': 884736, 'elladic_images': ['8.24.0.14'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5776702109762892699438773720', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [597914615076708388, 4400862921], 'lmfdb_iso': '30576.bi', 'lmfdb_label': '30576.bi2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -176904, -28579716], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.10', '24.48.0-24.m.1.10', '28.24.0-4.b.1.3', '56.48.0-56.h.2.6', '104.48.0.?', '168.96.0.?', '312.96.0.?', '728.96.0.?', '2184.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 10192], [7, 32, 624], [13, 14, 2352]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0270924859820115262101742324', 'prec': 100}, 'szpiro_ratio': 5.764845677542702, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
-
id: 203508
{'Ciso': '30576d', 'Clabel': '30576d5', 'Cnumber': 5, 'abc_quality': 1.0089455216720034, 'absD': 6192552511300072200192, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [0, -1, 0, -8489952, -10243819872], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 30576, 'degree': 1769472, 'elladic_images': ['8.24.0.93'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9242438012562619246524934327', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-280880296871140514, 25701087819771], 'lmfdb_iso': '30576.bi', 'lmfdb_label': '30576.bi3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -173264, -29815860], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.5', '28.12.0-4.c.1.2', '48.48.0-48.g.1.20', '56.48.0-56.bu.2.8', '104.48.0.?', '336.96.0.?', '624.96.0.?', '728.96.0.?', '4368.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 637], [3, 4, 10192], [7, 32, 624], [13, 14, 2352]], 'sha': 36, 'sha_primes': [2, 3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3159038112153220718006876163', 'prec': 100}, 'szpiro_ratio': 5.77301976880236, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
id: 203506
{'Ciso': '30576d', 'Clabel': '30576d3', 'Cnumber': 3, 'abc_quality': 0.991751601068022, 'absD': 130015418835037252608, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [0, -1, 0, -1849472, 798272112], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 30576, 'degree': 884736, 'elladic_images': ['8.24.0.94'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5776702109762892699438773720', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5807363790481348, 1079211743883], 'lmfdb_iso': '30576.bi', 'lmfdb_label': '30576.bi4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -37744, 2338108], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.3', '12.12.0.h.1', '24.48.0-24.bl.1.6', '28.12.0-4.c.1.1', '56.48.0-56.bu.1.12', '84.24.0.?', '168.96.0.?', '208.48.0.?', '624.96.0.?', '1456.96.0.?', '4368.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 10192], [7, 32, 624], [13, 14, 2352]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0270924859820115262101742324', 'prec': 100}, 'szpiro_ratio': 5.316130109117617, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
id: 203505
{'Ciso': '30576d', 'Clabel': '30576d2', 'Cnumber': 2, 'abc_quality': 0.9686459833518319, 'absD': 1505640551090247936, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -552932, -146646240], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 30576, 'degree': 442368, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2310966206963166152352613113', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4], 'jinv': [620742479063632, 49991146569], 'lmfdb_iso': '30576.bi', 'lmfdb_label': '30576.bi5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -11284, -424316], 'min_quad_twist_disc': 28, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '12.24.0.c.1', '24.48.0-12.c.1.15', '28.24.0-4.b.1.1', '56.48.0-56.h.1.10', '84.48.0.?', '104.48.0.?', '168.96.0.?', '312.96.0.?', '728.96.0.?', '2184.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 10192], [7, 32, 624], [13, 14, 2352]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79604342579536308973776352527', 'prec': 103}, 'szpiro_ratio': 4.965406798608445, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
-
id: 203504
{'Ciso': '30576d', 'Clabel': '30576d1', 'Cnumber': 1, 'abc_quality': 1.0143277708927247, 'absD': 49515710102559792, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4368, 'ainvs': [0, -1, 0, 35313, -10408698], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 30576, 'degree': 221184, 'elladic_images': ['16.24.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8845230304163439605266452505', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 34, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2587063175168, 26304786963], 'lmfdb_iso': '30576.bi', 'lmfdb_label': '30576.bi6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 721, -30552], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0.n.1', '12.12.0.g.1', '16.24.0-8.n.1.4', '24.24.0.bh.1', '28.12.0-4.c.1.1', '48.48.0-24.bh.1.2', '56.24.0-8.n.1.6', '84.24.0.?', '104.24.0.?', '112.48.0.?', '168.48.0.?', '208.48.0.?', '312.48.0.?', '336.96.0.?', '624.96.0.?', '728.48.0.?', '1456.96.0.?', '2184.96.0.?', '4368.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 147], [3, 4, 10192], [7, 32, 624], [13, 14, 2352]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68051889570203887150155817163', 'prec': 103}, 'szpiro_ratio': 4.438160090828189, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
