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ec_curvedata • Show schema
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{'Ciso': '405600b', 'Clabel': '405600b4', 'Cnumber': 4, 'abc_quality': 1.027047455683347, 'absD': 926747328000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -73233, -7461663], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 405600, 'degree': 2359296, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6609732644446524069415086256', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [140608, 3], 'lmfdb_iso': '405600.b', 'lmfdb_label': '405600.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -17, 33], 'min_quad_twist_disc': -260, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0.h.1', '24.24.0.bk.1', '260.12.0.?', '520.24.0.?', '780.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1575342017318507593405354991', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1193675510631114578028468833', 'prec': 103}, 'szpiro_ratio': 3.501695281837411, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, -4, 0, 1, 0, -4, 0, 0, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, -1, 0, -4, -4, 0, 6, 4, 0, 2, -4, -2, -2, -4, 8, -10, 4, 6, 4, 16, -6, 4, 12, -10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 405600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '405600.b', 'trace_hash': 634008473961490606}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.036082527669271381885699915297', 'prec': 107}, 'conductor': 405600, 'gens': [[-157, 376, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.1575342017318507593405354991', 'prec': 100}], 'lmfdb_label': '405600.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29059355845922567148304631908', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8326106323887788383432322557151505404', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-173, 0, 1]], 'xcoord_integral_points': [-173, -157]}
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lmfdb_label 405600.b2 does not appear in ec_iwasawa
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lmfdb_label 405600.b2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10028205
{'conductor': 405600, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '405600.b2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10028206
{'conductor': 405600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '405600.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 10028207
{'conductor': 405600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '405600.b2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 10028208
{'conductor': 405600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '405600.b2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4176923
{'adelic_gens': [[1, 0, 8, 1], [131, 390, 650, 131], [1, 8, 0, 1], [479, 0, 0, 1559], [1, 4, 4, 17], [623, 0, 0, 1559], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [716, 1105, 1495, 846], [976, 1235, 195, 196]], 'adelic_image': '1560.48.0.?', 'conductor': 405600, 'lmfdb_label': '405600.b2', 'prime': 0}
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id: 1375742
{'conductor': 405600, 'elladic_image': '8.12.0.11', 'lmfdb_label': '405600.b2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 405600.b does not appear in ec_padic