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ec_curvedata • Show schema
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{'Ciso': '352800kd', 'Clabel': '352800kd2', 'Cnumber': 2, 'abc_quality': 0.8598866675897114, 'absD': 52952003105400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 0, 0, 437325, 331938250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 352800, 'degree': 6881280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4666434040677507988460529883', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 263, 'isogeny_degrees': [1, 2], 'jinv': [39304, 225], 'lmfdb_iso': '352800.kd', 'lmfdb_label': '352800.kd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 40, -300], 'min_quad_twist_disc': -420, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '120.6.0.?', '420.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8509037908267832393099115015', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.86667469369479819504388794545', 'prec': 107}, 'szpiro_ratio': 4.130693834054816, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, 0, 0, 2, -2, 0, -4, 0, 4, -6, 8, 10, -10, 6, 10, -12, -14, -6, 16, 2, 0, 0, 10, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 352800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '352800.kd', 'trace_hash': 458101550956637860}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0072027901432156772179488702830', 'prec': 110}, 'conductor': 352800, 'gens': [[1990, 566000, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8509037908267832393099115015', 'prec': 100}], 'lmfdb_label': '352800.kd2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14412742983547011172825511975', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.8992252433755472654688673140882243033', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-490, 0, 1]], 'xcoord_integral_points': [-490]}
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lmfdb_label 352800.kd2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14718936
{'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '352800.kd2', 'torsion': [2, 2]}
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id: 14718937
{'degree': 4, 'field': [-14, 0, 7, 0, 1], 'lmfdb_label': '352800.kd2', 'torsion': [4]}
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id: 14718940
{'degree': 8, 'field': [-33075, 0, 5880, 0, -630, 0, 0, 0, 1], 'lmfdb_label': '352800.kd2', 'torsion': [6]}
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id: 14718939
{'degree': 8, 'field': [900, 0, 60, 0, 61, 0, 58, 0, 1], 'lmfdb_label': '352800.kd2', 'torsion': [2, 4]}
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id: 14718938
{'degree': 8, 'field': [34105, -17420, 3594, -1584, 943, -72, -18, -4, 1], 'lmfdb_label': '352800.kd2', 'torsion': [2, 4]}
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id: 14718941
{'degree': 16, 'field': [2160900, 0, 0, 0, -967260, 0, -246960, 0, -76979, 0, -6664, 0, 126, 0, 56, 0, 1], 'lmfdb_label': '352800.kd2', 'torsion': [8]}
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id: 14718942
{'degree': 16, 'field': [121352256, 0, 330512256, 0, 332553664, 0, -22646976, 0, -97680, 0, 54064, 0, -1056, 0, -24, 0, 1], 'lmfdb_label': '352800.kd2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8735507
{'conductor': 352800, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '352800.kd2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 8735508
{'conductor': 352800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '352800.kd2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8735509
{'conductor': 352800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '352800.kd2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 8735510
{'conductor': 352800, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '352800.kd2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3866102
{'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [337, 4, 674, 9], [281, 4, 562, 9], [124, 1, 599, 0], [2, 1, 419, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 352800, 'lmfdb_label': '352800.kd2', 'prime': 0}
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id: 1219730
{'conductor': 352800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '352800.kd2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 352800.kd does not appear in ec_padic