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ec_curvedata • Show schema
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{'Ciso': '3312j', 'Clabel': '3312j2', 'Cnumber': 2, 'abc_quality': 1.027047455683347, 'absD': 2665550592, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [0, 0, 0, -351, -486], 'analytic_rank': 0, 'bad_primes': [2, 3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 3312, 'degree': 1152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49895862480377904879022276063', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [949104, 529], 'lmfdb_iso': '3312.c', 'lmfdb_label': '3312.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -351, 486], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '92.6.0.?', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78709871207060009270103258137', 'prec': 107}, 'szpiro_ratio': 3.6020794580921804, '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, -2, 0, -2, 0, 0, 0, 4, 0, -2, 0, 0, 0, -2, 0, 2, 0], 'aplist': [0, 0, -2, -2, 4, -2, -2, 2, -1, -4, 0, 2, 0, 2, 12, 2, 12, -14, -2, 0, 6, -6, 4, 18, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 3312, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '3312.c', 'trace_hash': 755426076890539794}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.36864644067891538387712435459', 'prec': 103}, 'conductor': 3312, 'gens': [], 'heights': [], 'lmfdb_label': '3312.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.1836242837015974647787399640', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1836242837015974647787399639534684697', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-18, 0, 1]], 'xcoord_integral_points': [-18]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '23': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '3312.c1'}
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ec_torsion_growth • Show schema
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id: 172839
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '3312.c1', 'torsion': [2, 2]}
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id: 172840
{'degree': 4, 'field': [3, 0, 9, 0, 1], 'lmfdb_label': '3312.c1', 'torsion': [4]}
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id: 172843
{'degree': 8, 'field': [-27, 0, -108, 0, -18, 0, 0, 0, 1], 'lmfdb_label': '3312.c1', 'torsion': [6]}
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id: 172842
{'degree': 8, 'field': [1, 0, -14, 36, 0, -36, -14, 0, 1], 'lmfdb_label': '3312.c1', 'torsion': [2, 4]}
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id: 172841
{'degree': 8, 'field': [1521, 0, -594, 0, 87, 0, 6, 0, 1], 'lmfdb_label': '3312.c1', 'torsion': [2, 4]}
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id: 172845
{'degree': 16, 'field': [36, 0, -72, 0, -108, 0, -63, 0, 102, 0, -3, 0, 21, 0, -6, 0, 1], 'lmfdb_label': '3312.c1', 'torsion': [2, 6]}
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id: 172844
{'degree': 16, 'field': [10000, 0, 42656, 0, 48032, 0, -33472, 0, 14716, 0, -848, 0, 392, 0, 28, 0, 1], 'lmfdb_label': '3312.c1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 60177
{'conductor': 3312, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3312.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 60178
{'conductor': 3312, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '3312.c1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 60179
{'conductor': 3312, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3312.c1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1685516
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [208, 73, 69, 208], [97, 4, 194, 9], [1, 4, 0, 1], [273, 4, 272, 5], [188, 1, 91, 0]], 'adelic_image': '276.12.0.?', 'conductor': 3312, 'lmfdb_label': '3312.c1', 'prime': 0}
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id: 16596
{'conductor': 3312, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3312.c1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 3312.c does not appear in ec_padic