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ec_curvedata • Show schema
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{'Ciso': '4410q', 'Clabel': '4410q1', 'Cnumber': 1, 'abc_quality': 0.9270004068838031, 'absD': 15885600931620, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [1, -1, 0, -6624, -77652], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4410, 'degree': 10752, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2261281466312149688477174432', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [1092727, 540], 'lmfdb_iso': '4410.n', 'lmfdb_label': '4410.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -15, -15], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '120.6.0.?', '210.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78261060949432485567891973284', 'prec': 107}, 'szpiro_ratio': 4.529400388379758, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 1, 0, 0, -1, 0, -1, -2, 0, -2, 0, 0, 1, -4, 0, 0, 1], 'aplist': [-1, 0, 1, 0, -2, -2, -4, 0, -8, 0, 2, 8, -2, -2, 10, 2, 4, 10, 2, 12, -10, 16, 16, 14, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 4410, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4410.n', 'trace_hash': 1895122470423062850}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.086099102350705819556300635860', 'prec': 107}, 'conductor': 4410, 'gens': [], 'heights': [], 'lmfdb_label': '4410.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.55668859496790240975826437558', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1133771899358048195165287511543374075', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-12, 6, 1]], 'xcoord_integral_points': [-12]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': 'a', '5': [3, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '4410.n1'}
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ec_torsion_growth • Show schema
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id: 229735
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '4410.n1', 'torsion': [2, 2]}
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id: 229736
{'degree': 4, 'field': [25, 10, 5, -2, 1], 'lmfdb_label': '4410.n1', 'torsion': [4]}
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id: 229739
{'degree': 8, 'field': [-160, -60, -215, -83, -54, -1, 2, -3, 1], 'lmfdb_label': '4410.n1', 'torsion': [6]}
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id: 229738
{'degree': 8, 'field': [256, 0, -3616, 0, 516, 0, -16, 0, 1], 'lmfdb_label': '4410.n1', 'torsion': [2, 4]}
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id: 229737
{'degree': 8, 'field': [8359, -1788, 2116, -680, 401, -76, 30, -4, 1], 'lmfdb_label': '4410.n1', 'torsion': [2, 4]}
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id: 229741
{'degree': 16, 'field': [-384, 768, 4584, 11700, 300, 15996, 14644, -6242, 34200, -19465, 8960, -2463, 293, -25, -15, -2, 1], 'lmfdb_label': '4410.n1', 'torsion': [2, 6]}
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id: 229740
{'degree': 16, 'field': [950625, 0, 1114500, 0, 445150, 0, -12120, 0, -18609, 0, -1408, 0, 234, 0, 12, 0, 1], 'lmfdb_label': '4410.n1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 83546
{'conductor': 4410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4410.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 83547
{'conductor': 4410, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '4410.n1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 83548
{'conductor': 4410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4410.n1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 83549
{'conductor': 4410, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '4410.n1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1692677
{'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [421, 4, 2, 9], [124, 1, 599, 0], [562, 1, 559, 0], [1, 0, 4, 1], [674, 1, 503, 0], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 4410, 'lmfdb_label': '4410.n1', 'prime': 0}
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id: 21925
{'conductor': 4410, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4410.n1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 4410.n does not appear in ec_padic