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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 1, 1, 0, -1, 1, -1, 4, -1, 6, 0, -1, 1, 2, -1, 1, 1], 'aplist': [-1, -1, 1, 0, 4, 6, 2, 1, 0, -6, 0, -2, -6, -4, 4, -6, 4, 2, -16, 0, -2, 4, 8, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 27930, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '27930.v', 'trace_hash': 1194563680873578866}
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lmfdb_iso 27930.v does not appear in ec_padic
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ec_curvedata • Show schema
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id: 185405
{'Ciso': '27930x', 'Clabel': '27930x4', 'Cnumber': 4, 'abc_quality': 0.98319837236568, 'absD': 831562579379700, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [1, 1, 0, -3476477, -2496371751], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 27930, 'degree': 589824, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2587355765406910317654871633', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [39496057701398850889, 7068165300], 'lmfdb_iso': '27930.v', 'lmfdb_label': '27930.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -70949, 7267916], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '168.24.0.?', '266.6.0.?', '456.24.0.?', '532.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, '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': '1.2857805020130343792128107916', 'prec': 100}, 'szpiro_ratio': 5.548076570417278, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 185403
{'Ciso': '27930x', 'Clabel': '27930x2', 'Cnumber': 2, 'abc_quality': 0.9449622105871471, 'absD': 15171169143690000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1596, 'ainvs': [1, 1, 0, -217977, -38811051], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 27930, 'degree': 294912, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9121619862607183770568711025', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [9735776569434889, 128952810000], 'lmfdb_iso': '27930.v', 'lmfdb_label': '27930.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4449, 112516], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '84.24.0.?', '228.24.0.?', '532.24.0.?', '1596.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.93920691173306172450419473078', 'prec': 103}, 'szpiro_ratio': 4.736532354783243, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 185404
{'Ciso': '27930x', 'Clabel': '27930x3', 'Cnumber': 3, 'abc_quality': 1.0184152433841034, 'absD': 4527771214345312500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [1, 1, 0, -32757, -102415599], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 27930, 'degree': 589824, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2587355765406910317654871633', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [-33042169120969, 38485420312500], 'lmfdb_iso': '27930.v', 'lmfdb_label': '27930.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -669, 298492], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '84.24.0.?', '456.24.0.?', '1064.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2857805020130343792128107916', 'prec': 100}, 'szpiro_ratio': 4.924267798717398, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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id: 185402
{'Ciso': '27930x', 'Clabel': '27930x1', 'Cnumber': 1, 'abc_quality': 0.9290870949509372, 'absD': 927422737516800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [1, 1, 0, -25897, 642181], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 27930, 'degree': 147456, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5655883959807457223482550418', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [16327137318409, 7882963200], 'lmfdb_iso': '27930.v', 'lmfdb_label': '27930.v4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -529, -1948], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '84.12.0.?', '114.6.0.?', '168.24.0.?', '228.12.0.?', '456.24.0.?', '532.12.0.?', '1064.24.0.?', '1596.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '0.59263332145308906979557867008', 'prec': 103}, 'szpiro_ratio': 4.11228218125048, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}