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ec_curvedata • Show schema
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{'Ciso': '440818z', 'Clabel': '440818z2', 'Cnumber': 2, 'abc_quality': 0.9870120589536703, 'absD': 6847246433849024, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 23828, 'ainvs': [1, 1, 1, -397659619, 3052050920641], 'analytic_rank': 1, 'bad_primes': [2, 7, 23, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 440818, 'degree': 60936192, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2278724480282337229199167530', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [2710490216437522251433, 2668736], 'lmfdb_iso': '440818.z', 'lmfdb_label': '440818.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -290474, 60136340], 'min_quad_twist_disc': 37, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '3404.6.0.?', '23828.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.3668383201015373245048194653', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4224134917061215007358689175', 'prec': 100}, 'szpiro_ratio': 5.464358818538072, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 2, 1, -2, 2, -1, 1, 1, -2, 4, 2, 0, -1, -4, 1, 6, 1, -2, -2], 'aplist': [1, 2, -2, -1, 4, 0, 6, -2, 1, 6, 4, 0, -6, 0, -2, -2, 0, -2, 12, -16, -2, 4, 0, -2, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 440818, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '440818.z', 'trace_hash': 502059729169529078}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0015714682649311300386298286140', 'prec': 110}, 'conductor': 440818, 'gens': [[-20381, 1650710, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '8.3668383201015373245048194653', 'prec': 100}], 'lmfdb_label': '440818.z1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18592762628338106841788569438', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '18.667516660239725953507851184473138109', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[46051, -46055, 2]], 'xcoord_integral_points': [-20381]}
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lmfdb_label 440818.z1 does not appear in ec_iwasawa
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lmfdb_label 440818.z1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10883594
{'conductor': 440818, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '440818.z1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 10883595
{'conductor': 440818, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '440818.z1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 10883596
{'conductor': 440818, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '440818.z1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 10883597
{'conductor': 440818, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '440818.z1', 'prime': 37, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4381368
{'adelic_gens': [[1, 2, 2, 5], [6442, 1, 20607, 0], [8290, 1, 19683, 0], [1, 4, 0, 1], [3405, 4, 6810, 9], [17872, 5961, 5957, 17872], [23825, 4, 23824, 5], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '23828.12.0.?', 'conductor': 440818, 'lmfdb_label': '440818.z1', 'prime': 0}
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id: 1478602
{'conductor': 440818, 'elladic_image': '2.3.0.1', 'lmfdb_label': '440818.z1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 440818.z does not appear in ec_padic