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ec_curvedata • Show schema
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{'Ciso': '481650is', 'Clabel': '481650is4', 'Cnumber': 4, 'abc_quality': 1.081271340032757, 'absD': 12491047040168819179687500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 29640, 'ainvs': [1, 0, 0, -131651088, 555980666292], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 481650, 'degree': 176947200, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5746820228682300787312556662', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 226, 'isogeny_degrees': [1, 2, 4], 'jinv': [3345930611358906241, 165622259047500], 'lmfdb_iso': '481650.is', 'lmfdb_label': '481650.is2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -31160, 2011565], 'min_quad_twist_disc': 65, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '76.12.0.?', '120.12.0.?', '260.12.0.?', '312.12.0.?', '1560.24.0.?', '2280.24.0.?', '4940.24.0.?', '5928.24.0.?', '29640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8923482543498280308522873037', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4874883879204115234041322788', 'prec': 100}, 'szpiro_ratio': 5.173919748932871, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 0, 1, 4, 1, 1, 0, 0, 1, 0, 4, 0, 1, -2, 1, -1, 0], 'aplist': [1, 1, 0, 4, 0, 0, -2, -1, -8, 2, 8, 10, -6, 8, 0, 2, 12, -2, -12, 8, 2, -16, -4, -6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 481650, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '481650.is', 'trace_hash': 1201927768763671897}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00078536337771775236173596119546', 'prec': 113}, 'conductor': 481650, 'gens': [[5448, 18570, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.8923482543498280308522873037', 'prec': 100}], 'lmfdb_label': '481650.is2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.070267567455686633420665227829', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '21.880467481884052377749397594336039630', 'prec': 130}, 'tamagawa_product': 320, 'torsion_generators': [[-52737, 52737, 2]], 'xcoord_integral_points': [5448]}
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lmfdb_label 481650.is2 does not appear in ec_iwasawa
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lmfdb_label 481650.is2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11872269
{'conductor': 481650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '481650.is2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 11872270
{'conductor': 481650, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '481650.is2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
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id: 11872271
{'conductor': 481650, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '481650.is2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 11872272
{'conductor': 481650, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '481650.is2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11872273
{'conductor': 481650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '481650.is2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 4617235
{'adelic_gens': [[859, 858, 18538, 17395], [29633, 8, 29632, 9], [26768, 4563, 16445, 11402], [1, 0, 8, 1], [7, 6, 29634, 29635], [1, 8, 0, 1], [1, 4, 4, 17], [9881, 2288, 25844, 9153], [11688, 5993, 11713, 2640], [11399, 0, 0, 29639], [17783, 27352, 25532, 20487]], 'adelic_image': '29640.48.0.?', 'conductor': 481650, 'lmfdb_label': '481650.is2', 'prime': 0}
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id: 1596111
{'conductor': 481650, 'elladic_image': '4.6.0.1', 'lmfdb_label': '481650.is2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 481650.is does not appear in ec_padic