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ec_curvedata • Show schema
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{'Ciso': '2352d', 'Clabel': '2352d4', 'Cnumber': 4, 'abc_quality': 1.0353416362958598, 'absD': 22769316864, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, -1, 0, -197584, 33870544], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2352, 'degree': 9216, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5011440488280626797668236339', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [7080974546692, 189], 'lmfdb_iso': '2352.c', 'lmfdb_label': '2352.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4032, 99900], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.z.1.9', '42.6.0.a.1', '56.24.0-56.ba.1.4', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.049433676166215063966879505703', 'prec': 110}, 'szpiro_ratio': 6.208325784954483, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, 0, 0, 1, 0, 0, 0, -6, 0, 2, 0, 2, 0, 4, 0], 'aplist': [0, -1, -2, 0, 0, -6, 2, 4, 4, -10, -8, 6, 2, 4, 8, -10, 12, 2, -12, 12, 14, 8, 12, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 2352, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2352.c', 'trace_hash': 323604393664995641}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.049673280921464257900893424166', 'prec': 107}, 'conductor': 2352, 'gens': [], 'heights': [], 'lmfdb_label': '2352.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.87744804069414274915728522817', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.87744804069414274915728522816682922820', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[264, 196, 1]], 'xcoord_integral_points': [257, 264]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '2352.c1'}
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ec_torsion_growth • Show schema
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id: 119939
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '2352.c1', 'torsion': [2, 4]}
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id: 119940
{'degree': 4, 'field': [21, 0, -14, 0, 1], 'lmfdb_label': '2352.c1', 'torsion': [8]}
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id: 119944
{'degree': 8, 'field': [-6, -96, -166, -132, -66, -26, -6, 0, 1], 'lmfdb_label': '2352.c1', 'torsion': [12]}
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id: 119942
{'degree': 8, 'field': [1, 2, -20, -16, 63, 16, -20, -2, 1], 'lmfdb_label': '2352.c1', 'torsion': [2, 8]}
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id: 119943
{'degree': 8, 'field': [144, 0, 72, 0, 48, 0, -6, 0, 1], 'lmfdb_label': '2352.c1', 'torsion': [2, 8]}
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id: 119941
{'degree': 8, 'field': [484, 0, -248, 0, 48, 0, 4, 0, 1], 'lmfdb_label': '2352.c1', 'torsion': [4, 4]}
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id: 119946
{'degree': 16, 'field': [441, 0, 0, 0, -882, 0, 672, 0, 147, 0, -168, 0, -38, 0, 4, 0, 1], 'lmfdb_label': '2352.c1', 'torsion': [2, 12]}
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id: 119945
{'degree': 16, 'field': [3969, 0, -34398, 0, 88200, 0, -63504, 0, 12663, 0, -336, 0, 392, 0, -14, 0, 1], 'lmfdb_label': '2352.c1', 'torsion': [16]}
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ec_localdata • Show schema
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id: 39818
{'conductor': 2352, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '2352.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 39819
{'conductor': 2352, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2352.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 39820
{'conductor': 2352, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2352.c1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1679186
{'adelic_gens': [[101, 104, 166, 99], [88, 165, 139, 166], [67, 66, 34, 115], [1, 0, 8, 1], [161, 8, 160, 9], [7, 6, 162, 163], [1, 4, 4, 17], [116, 1, 79, 6], [1, 8, 0, 1]], 'adelic_image': '168.48.0.?', 'conductor': 2352, 'lmfdb_label': '2352.c1', 'prime': 0}
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id: 11553
{'conductor': 2352, 'elladic_image': '4.12.0.7', 'lmfdb_label': '2352.c1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 2352.c does not appear in ec_padic