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ec_curvedata • Show schema
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{'Ciso': '296208fc', 'Clabel': '296208fc1', 'Cnumber': 1, 'abc_quality': 1.273975103105879, 'absD': 49542459490191888, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 34, 'ainvs': [0, 0, 0, -91839, -273823], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 296208, 'degree': 1843200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8929490442730313867634743899', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 132, 'isogeny_degrees': [1], 'jinv': [501633924352, 290107737], 'lmfdb_iso': '296208.fc', 'lmfdb_label': '296208.fc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -10204, -13543], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['34.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9857481616247993717820029925', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.31329541548620458990612653830', 'prec': 103}, 'szpiro_ratio': 3.6429594391558644, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -3, 0, 0, 0, -1, 0, 5, 0], 'aplist': [0, 0, 2, 2, 0, -3, -1, 5, 0, 6, 0, -6, 4, 11, -9, 6, 4, 4, -9, -8, -16, 10, -9, -3, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 296208, 'isogeny_matrix': [[1]], 'lmfdb_iso': '296208.fc', 'trace_hash': 1275349439496334285}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.022688477362501130580518377333', 'prec': 107}, 'conductor': 296208, 'gens': [[-2519, 205227, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '5.9857481616247993717820029925', 'prec': 100}], 'lmfdb_label': '296208.fc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30023965800558203156437356450', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.782953885722626737262144573753382730', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 296208.fc1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12549162
{'degree': 3, 'field': [-11, -11, 0, 1], 'lmfdb_label': '296208.fc1', 'torsion': [2]}
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id: 12549163
{'degree': 6, 'field': [1, -3, -5, 15, -5, -3, 1], 'lmfdb_label': '296208.fc1', 'torsion': [2, 2]}
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id: 12549164
{'degree': 8, 'field': [99, 144, -288, 102, -12, -12, 14, -2, 1], 'lmfdb_label': '296208.fc1', 'torsion': [3]}
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id: 12549165
{'degree': 12, 'field': [-234525, -582318, -574028, -393370, -144231, 27810, 3368, -1272, 180, -16, -8, -6, 1], 'lmfdb_label': '296208.fc1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 7335801
{'conductor': 296208, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '296208.fc1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 7335802
{'conductor': 296208, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '296208.fc1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7335803
{'conductor': 296208, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '296208.fc1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 7335804
{'conductor': 296208, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '296208.fc1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[3, 2, 3, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 33, 0], [33, 2, 32, 3]], 'adelic_image': '34.2.0.?', 'conductor': 296208, 'lmfdb_label': '296208.fc1', 'prime': 0}
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lmfdb_iso 296208.fc does not appear in ec_padic