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ec_curvedata • Show schema
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{'Ciso': '3024m', 'Clabel': '3024m3', 'Cnumber': 3, 'abc_quality': 1.0230188027151483, 'absD': 10158317568, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 504, 'ainvs': [0, 0, 0, -152955, 23024682], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 3024, 'degree': 7776, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4363371825903282851839165368', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3, 9], 'jinv': [-545407363875, 14], 'lmfdb_iso': '3024.p', 'lmfdb_label': '3024.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1062, 13590], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '12.8.0-3.a.1.2', '36.24.0-9.a.1.1', '63.36.0.d.2', '168.16.0.?', '252.72.0.?', '504.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.26387126258205090801229038517', 'prec': 107}, 'szpiro_ratio': 5.91780800681309, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, -2, 0], 'aplist': [0, 0, 0, -1, 0, 5, 3, -2, 9, -3, -5, 2, -6, 1, 6, 3, 3, -10, 13, -9, 2, 10, 12, 15, 8], 'class_deg': 9, 'class_size': 3, 'conductor': 3024, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '3024.p', 'trace_hash': 481016002248399069}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.056547495526045733340685922377', 'prec': 107}, 'conductor': 3024, 'gens': [], 'heights': [], 'lmfdb_label': '3024.p1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.93694636751196903439418010379', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8738927350239380687883602075854430380', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0, 0], '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '3024.p1'}
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ec_torsion_growth • Show schema
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id: 156658
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '3024.p1', 'torsion': [3]}
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id: 156659
{'degree': 3, 'field': [-16, -6, 0, 1], 'lmfdb_label': '3024.p1', 'torsion': [2]}
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id: 156663
{'degree': 6, 'field': [-12, 0, 24, 0, 9, 0, 1], 'lmfdb_label': '3024.p1', 'torsion': [6]}
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id: 156662
{'degree': 6, 'field': [1, -16, 23, 18, -12, -2, 1], 'lmfdb_label': '3024.p1', 'torsion': [9]}
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id: 156660
{'degree': 6, 'field': [42, 0, 141, 0, 12, 0, 1], 'lmfdb_label': '3024.p1', 'torsion': [2, 2]}
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id: 156661
{'degree': 6, 'field': [15876, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3024.p1', 'torsion': [3]}
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id: 156664
{'degree': 12, 'field': [256, 288, 768, 788, -252, 0, 384, -36, -36, 56, 0, -3, 1], 'lmfdb_label': '3024.p1', 'torsion': [4]}
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id: 156667
{'degree': 12, 'field': [5856, 7488, 9168, 5952, 2286, -420, -482, -120, 39, -4, -6, 0, 1], 'lmfdb_label': '3024.p1', 'torsion': [2, 6]}
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id: 156666
{'degree': 12, 'field': [15876, 0, 0, -756, 0, 0, 18, 0, 0, -6, 0, 0, 1], 'lmfdb_label': '3024.p1', 'torsion': [9]}
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id: 156665
{'degree': 12, 'field': [346921, 0, 156489, 0, 23190, 0, -427, 0, -246, 0, -3, 0, 1], 'lmfdb_label': '3024.p1', 'torsion': [3, 3]}
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id: 156669
{'degree': 18, 'field': [-68279, -298848, 254187, 454574, -542766, 358782, -208447, 51348, -6105, -13824, 10239, -5754, 2661, -966, 348, -98, 30, -6, 1], 'lmfdb_label': '3024.p1', 'torsion': [18]}
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id: 156668
{'degree': 18, 'field': [7529536, 0, 0, 0, 0, 0, 56520324, 0, 0, 0, 0, 0, -15036, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3024.p1', 'torsion': [6]}
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ec_localdata • Show schema
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id: 53977
{'conductor': 3024, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '3024.p1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 53978
{'conductor': 3024, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '3024.p1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 53979
{'conductor': 3024, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3024.p1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1683630
{'adelic_gens': [[1, 18, 0, 1], [10, 9, 243, 496], [1, 0, 18, 1], [10, 9, 81, 73], [250, 117, 423, 62], [160, 9, 279, 76], [242, 495, 135, 8], [487, 18, 486, 19], [1, 18, 10, 181]], 'adelic_image': '504.144.3.?', 'conductor': 3024, 'lmfdb_label': '3024.p1', 'prime': 0}
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id: 15074
{'conductor': 3024, 'elladic_image': '9.12.0.1', 'lmfdb_label': '3024.p1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 3024.p does not appear in ec_padic