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ec_curvedata • Show schema
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{'Ciso': '18876h', 'Clabel': '18876h1', 'Cnumber': 1, 'abc_quality': 1.4888653961459486, 'absD': 268625337552, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1716, 'ainvs': [0, 1, 0, -1613, -1080], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 18876, 'degree': 17280, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88252637462413229828393271931', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16384000, 9477], 'lmfdb_iso': '18876.k', 'lmfdb_label': '18876.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -13, -4], 'min_quad_twist_disc': -11, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '26.6.0.b.1', '33.8.0-3.a.1.2', '66.24.0-6.a.1.2', '78.24.0.?', '132.48.0.?', '156.48.1.?', '858.48.0.?', '1716.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54747032196170141021944977683', 'prec': 107}, 'szpiro_ratio': 3.4301227435478365, '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, 0, 0, -1, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, 1, 0, -2, 0, -1, 6, -2, 0, 6, 2, 2, 12, 4, 0, 6, 12, -2, -10, 12, -14, -8, -12, 0, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 18876, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '18876.k', 'trace_hash': 1155930654550071379}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.17117775674879900387093112505', 'prec': 103}, 'conductor': 18876, 'gens': [], 'heights': [], 'lmfdb_label': '18876.k4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.82510272751515174378765822944', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4753081825454552313629746883060265102', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[40, 0, 1]], 'xcoord_integral_points': [40]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '11': 'a', '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '18876.k4'}
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ec_torsion_growth • Show schema
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id: 965748
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '18876.k4', 'torsion': [2, 2]}
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id: 965749
{'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '18876.k4', 'torsion': [6]}
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id: 965751
{'degree': 4, 'field': [36, 0, -1, 0, 1], 'lmfdb_label': '18876.k4', 'torsion': [2, 6]}
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id: 965750
{'degree': 4, 'field': [366, 12, -44, -2, 1], 'lmfdb_label': '18876.k4', 'torsion': [4]}
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id: 965752
{'degree': 6, 'field': [-216, -36, -122, -75, 1, -3, 1], 'lmfdb_label': '18876.k4', 'torsion': [6]}
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id: 965754
{'degree': 8, 'field': [69, -1830, 9136, -11084, 2291, 340, -100, -2, 1], 'lmfdb_label': '18876.k4', 'torsion': [2, 4]}
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id: 965755
{'degree': 8, 'field': [81, 54, -102, 18, 79, -6, 16, 0, 1], 'lmfdb_label': '18876.k4', 'torsion': [12]}
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id: 965753
{'degree': 8, 'field': [69876, -72, 9816, 3048, 1196, 108, 64, -4, 1], 'lmfdb_label': '18876.k4', 'torsion': [2, 4]}
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id: 965756
{'degree': 12, 'field': [324, -2268, 5112, 1260, 1360, 276, 455, -357, 6, 21, -4, -3, 1], 'lmfdb_label': '18876.k4', 'torsion': [3, 6]}
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id: 965757
{'degree': 12, 'field': [60813, 134451, -341967, 291786, -129821, 41799, -13546, 3573, -537, 138, -31, -3, 1], 'lmfdb_label': '18876.k4', 'torsion': [2, 6]}
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id: 965758
{'degree': 16, 'field': [-1461888, -44582400, 12213504, 141947136, 15134784, -53442048, 4244736, 1087296, -1413824, 486496, -24128, -2672, 5944, -680, 160, -8, 1], 'lmfdb_label': '18876.k4', 'torsion': [8]}
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id: 965760
{'degree': 16, 'field': [171396, -144072, 129624, -59904, 131596, -75180, 92376, -32928, 32301, -7740, 6616, -888, 774, -48, 48, 0, 1], 'lmfdb_label': '18876.k4', 'torsion': [2, 12]}
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id: 965759
{'degree': 16, 'field': [930933, -1339416, 1199340, -941148, 494430, -270348, 122564, -55588, 28983, -8060, 4212, -572, 614, -52, 40, 0, 1], 'lmfdb_label': '18876.k4', 'torsion': [2, 12]}
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id: 965761
{'degree': 18, 'field': [693603, -607986, 676269, -366921, 410589, -131193, 181317, -67491, 45999, -22640, 8034, -3555, 1859, -339, 273, -22, 27, -3, 1], 'lmfdb_label': '18876.k4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 425730
{'conductor': 18876, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '18876.k4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 425731
{'conductor': 18876, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '18876.k4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 425732
{'conductor': 18876, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '18876.k4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 425733
{'conductor': 18876, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18876.k4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1790150
{'adelic_gens': [[1705, 12, 1704, 13], [1, 0, 12, 1], [771, 1342, 242, 1277], [1, 6, 6, 37], [1, 12, 0, 1], [826, 627, 297, 1552], [1673, 1562, 264, 1], [11, 2, 1666, 1707], [779, 0, 0, 1715]], 'adelic_image': '1716.96.1.?', 'conductor': 18876, 'lmfdb_label': '18876.k4', 'prime': 0}
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id: 88276
{'conductor': 18876, 'elladic_image': '2.3.0.1', 'lmfdb_label': '18876.k4', 'modell_image': '2B', 'prime': 2}
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id: 88277
{'conductor': 18876, 'elladic_image': '3.4.0.1', 'lmfdb_label': '18876.k4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 18876.k does not appear in ec_padic