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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 4, 0], 'aplist': [0, 0, -1, 4, 0, -2, 1, 4, 8, -6, 0, 6, -2, 4, 8, 10, -8, -6, 4, -8, 10, 0, -12, 14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 48960, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '48960.dc', 'trace_hash': 886143450864415986}
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lmfdb_iso 48960.dc does not appear in ec_padic
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ec_curvedata • Show schema
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id: 325709
{'Ciso': '48960fb', 'Clabel': '48960fb4', 'Cnumber': 4, 'abc_quality': 1.0554528133897931, 'absD': 14744299104000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 0, 0, -971005548, 11646102977872], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 48960, 'degree': 13762560, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6622427416662505847258612624', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 80, 'isogeny_degrees': [1, 2, 4], 'jinv': [1059623036730633329075378, 154307373046875], 'lmfdb_iso': '48960.dc', 'lmfdb_label': '48960.dc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -26972376, 53908152624], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '12.12.0-4.c.1.1', '24.24.0-24.s.1.4', '40.24.0-40.bb.1.3', '120.48.0.?'], '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, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1309780915389398840204931385', 'prec': 100}, 'szpiro_ratio': 6.8244074914245445, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 325708
{'Ciso': '48960fb', 'Clabel': '48960fb3', 'Cnumber': 3, 'abc_quality': 1.0609933840271915, 'absD': 78966055095560412217344000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 0, 0, -112883628, -174100488752], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 48960, 'degree': 13762560, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6622427416662505847258612624', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 80, 'isogeny_degrees': [1, 2, 4], 'jinv': [1664865424893526702418, 826424127435466125], 'lmfdb_iso': '48960.dc', 'lmfdb_label': '48960.dc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3135656, -807066000], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '12.12.0-4.c.1.2', '24.24.0-24.y.1.2', '40.24.0-40.v.1.5', '120.48.0.?'], '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, 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1309780915389398840204931385', 'prec': 100}, 'szpiro_ratio': 6.226568031041756, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 325707
{'Ciso': '48960fb', 'Clabel': '48960fb2', 'Cnumber': 2, 'abc_quality': 1.0333686215042301, 'absD': 298208993234863104000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 0, 0, -60863628, 180863183248], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 48960, 'degree': 6881280, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3156691513862779300172452017', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 80, 'isogeny_degrees': [1, 2], 'jinv': [521902963282042184836, 6241849278890625], 'lmfdb_iso': '48960.dc', 'lmfdb_label': '48960.dc3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1690656, 836766000], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0-2.a.1.1', '20.12.0-2.a.1.2', '24.24.0-24.b.1.2', '40.24.0-40.a.1.5', '60.24.0-60.b.1.5', '120.48.0.?'], '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, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8421667663056293384299797546', 'prec': 100}, 'szpiro_ratio': 6.05495895156112, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 325706
{'Ciso': '48960fb', 'Clabel': '48960fb1', 'Cnumber': 1, 'abc_quality': 1.0722258722332745, 'absD': 22777058366684043264000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 0, 0, -728508, 7265118832], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 48960, 'degree': 3440640, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9690955611063052753086291409', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 80, 'isogeny_degrees': [1, 2, 4], 'jinv': [-3579968623693264, 1906997690433375], 'lmfdb_iso': '48960.dc', 'lmfdb_label': '48960.dc4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -20236, 33628064], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '24.24.0-24.y.1.8', '30.6.0.a.1', '40.24.0-40.bb.1.11', '60.12.0.g.1', '120.48.0.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6111177061189809019575690474', 'prec': 100}, 'szpiro_ratio': 5.457649992078232, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}