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ec_curvedata • Show schema
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{'Ciso': '324800gc', 'Clabel': '324800gc2', 'Cnumber': 2, 'abc_quality': 0.963586026631411, 'absD': 202634872832000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, -1, 0, -3576833, 2604833537], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 324800, 'degree': 7077888, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4037696410897446431324175681', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 158, 'isogeny_degrees': [1, 2], 'jinv': [2471097448795250, 98942809], 'lmfdb_iso': '324800.gc', 'lmfdb_label': '324800.gc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -35768, 2615564], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '28.6.0.c.1', '56.12.0.k.1'], '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': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61709217907943860082429239609', 'prec': 103}, 'szpiro_ratio': 4.48220988770605, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, 0, 0, -1, 0, 1, 0, 0, 0, 4, 0, 0, 0, -2, 0, -6, 0], 'aplist': [0, 2, 0, -1, 0, 4, -2, -6, 0, 1, 0, 2, 10, -8, -8, 6, -10, 12, -12, 8, -14, 0, 2, -10, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 324800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '324800.gc', 'trace_hash': 1741057794031051987}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0081679339696671312080325673808', 'prec': 110}, 'conductor': 324800, 'gens': [], 'heights': [], 'lmfdb_label': '324800.gc1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.29760915552289901340934218785', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3808732441831921072747375028381139084', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1087, 0, 1]], 'xcoord_integral_points': [1087]}
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lmfdb_label 324800.gc1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13643094
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '324800.gc1', 'torsion': [2, 2]}
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id: 13643095
{'degree': 4, 'field': [50, 0, -5, 0, 1], 'lmfdb_label': '324800.gc1', 'torsion': [4]}
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id: 13643098
{'degree': 8, 'field': [-750000, 0, -92000, 0, -3000, 0, 0, 0, 1], 'lmfdb_label': '324800.gc1', 'torsion': [6]}
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id: 13643097
{'degree': 8, 'field': [121, 0, -162, 0, 58, 0, -2, 0, 1], 'lmfdb_label': '324800.gc1', 'torsion': [2, 4]}
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id: 13643096
{'degree': 8, 'field': [11316496, 0, -780448, 0, -21866, 0, -232, 0, 1], 'lmfdb_label': '324800.gc1', 'torsion': [2, 4]}
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id: 13643099
{'degree': 16, 'field': [538819, 4055064, 10780650, 11623068, 3549842, -2860560, -2069126, -359468, 670620, 7736, -44170, -3660, 1486, 224, -26, -4, 1], 'lmfdb_label': '324800.gc1', 'torsion': [8]}
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id: 13643100
{'degree': 16, 'field': [73719396, 0, -66974688, 0, 27897372, 0, -6406200, 0, 903456, 0, -76380, 0, 3688, 0, -94, 0, 1], 'lmfdb_label': '324800.gc1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8039438
{'conductor': 324800, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '324800.gc1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 8039439
{'conductor': 324800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '324800.gc1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8039440
{'conductor': 324800, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '324800.gc1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8039441
{'conductor': 324800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '324800.gc1', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3698541
{'adelic_gens': [[1, 2, 2, 5], [17, 4, 34, 9], [2, 1, 27, 0], [3, 4, 8, 11], [9, 50, 48, 7], [53, 4, 52, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 324800, 'lmfdb_label': '324800.gc1', 'prime': 0}
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id: 1133699
{'conductor': 324800, 'elladic_image': '8.6.0.6', 'lmfdb_label': '324800.gc1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 324800.gc does not appear in ec_padic