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ec_curvedata • Show schema
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{'Ciso': '384b', 'Clabel': '384b2', 'Cnumber': 2, 'abc_quality': 0.9254651551988543, 'absD': 49152, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, -1, 0, -13, -11], 'analytic_rank': 0, 'bad_primes': [2, 3], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 384, 'degree': 32, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.38187132507396218480995986415', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [16000, 3], 'lmfdb_iso': '384.c', 'lmfdb_label': '384.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3, 3], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '12.6.0.a.1', '24.12.0.w.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 128]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1905430357272317124633973392', 'prec': 103}, 'szpiro_ratio': 3.257531326702114, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 2, 0, 1, 0, -4, 0, 6, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, -1, 0, 2, -4, 6, 6, 0, 4, 4, 10, 2, -2, 8, -12, -12, -4, 2, 4, -4, -10, -6, 12, 2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 384, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '384.c', 'trace_hash': 251377476746839428}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '2.1462940348877933338525230871', 'prec': 100}, 'conductor': 384, 'gens': [], 'heights': [], 'lmfdb_label': '384.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.5308285053958684099070110720', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2654142526979342049535055360158211503', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-1, 0, 1]], 'xcoord_integral_points': [-1]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '384.c1'}
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ec_torsion_growth • Show schema
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id: 16532
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '384.c1', 'torsion': [2, 2]}
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id: 16533
{'degree': 4, 'field': [3, 0, 2, 0, 1], 'lmfdb_label': '384.c1', 'torsion': [4]}
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id: 16536
{'degree': 8, 'field': [-12, 0, 16, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '384.c1', 'torsion': [6]}
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id: 16534
{'degree': 8, 'field': [1, 0, -8, 0, 6, 0, -8, 0, 1], 'lmfdb_label': '384.c1', 'torsion': [2, 4]}
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id: 16535
{'degree': 8, 'field': [9, -12, 16, -4, -4, -4, 8, -4, 1], 'lmfdb_label': '384.c1', 'torsion': [2, 4]}
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id: 16537
{'degree': 16, 'field': [6, 0, 32, 64, 144, 224, 232, -32, -240, -176, 16, 80, 28, -8, -8, 0, 1], 'lmfdb_label': '384.c1', 'torsion': [8]}
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id: 16538
{'degree': 16, 'field': [17161, 0, 25984, 0, 4408, 0, -8320, 0, -2566, 0, 80, 0, 88, 0, 16, 0, 1], 'lmfdb_label': '384.c1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 3844
{'conductor': 384, 'conductor_valuation': 7, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '384.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3845
{'conductor': 384, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '384.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1667420
{'adelic_gens': [[1, 2, 2, 5], [13, 4, 2, 9], [21, 4, 20, 5], [3, 4, 8, 11], [4, 1, 17, 18], [1, 4, 0, 1], [10, 1, 7, 0], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 384, 'lmfdb_label': '384.c1', 'prime': 0}
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id: 1602
{'conductor': 384, 'elladic_image': '8.6.0.4', 'lmfdb_label': '384.c1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 384.c does not appear in ec_padic
