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ec_curvedata • Show schema
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{'Ciso': '377520dy', 'Clabel': '377520dy1', 'Cnumber': 1, 'abc_quality': 0.9550957138890439, 'absD': 73742691883103100000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -11054116, 19252754684], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 41287680, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0931465897510361950835992295', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 102, 'isogeny_degrees': [1, 2, 4], 'jinv': [-329381898333928144, 162600887109375], 'lmfdb_iso': '377520.dy', 'lmfdb_label': '377520.dy4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -91356, 14498100], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '78.6.0.?', '132.12.0.?', '156.12.0.?', '264.24.0.?', '312.24.0.?', '572.12.0.?', '1144.24.0.?', '1716.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9919933619782666645178107612', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4321008329785540501078060262', 'prec': 100}, 'szpiro_ratio': 4.741341959587099, '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, -1, 0, -4, 0, 1, 0, 0, 0, -1, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, 1, -1, -4, 0, -1, 2, 4, 4, -6, 0, 10, 10, 4, 0, 10, 12, 2, -8, 8, 2, -16, -12, -10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 377520, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '377520.dy', 'trace_hash': 1774342894952822593}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0020574391933603816879866989306', 'prec': 110}, 'conductor': 377520, 'gens': [[-1486, 180000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9919933619782666645178107612', 'prec': 100}], 'lmfdb_label': '377520.dy4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10172825219747958645332707703', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5223671484142783638433844459140569620', 'prec': 130}, 'tamagawa_product': 112, 'torsion_generators': [[-3986, 0, 1]], 'xcoord_integral_points': [-3986, -1486, 10655]}
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lmfdb_label 377520.dy4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15645234
{'degree': 2, 'field': [-143, 0, 1], 'lmfdb_label': '377520.dy4', 'torsion': [4]}
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id: 15645233
{'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '377520.dy4', 'torsion': [2, 2]}
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id: 15645235
{'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '377520.dy4', 'torsion': [4]}
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id: 15645236
{'degree': 4, 'field': [562, -86, 87, -2, 1], 'lmfdb_label': '377520.dy4', 'torsion': [2, 4]}
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id: 15645240
{'degree': 8, 'field': [-1263603, 0, -135784, 0, -3894, 0, 0, 0, 1], 'lmfdb_label': '377520.dy4', 'torsion': [6]}
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id: 15645239
{'degree': 8, 'field': [33, -132, 168, -60, 1, 32, -6, -4, 1], 'lmfdb_label': '377520.dy4', 'torsion': [8]}
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id: 15645237
{'degree': 8, 'field': [11896, -1852, 2314, -892, 367, 92, -26, -4, 1], 'lmfdb_label': '377520.dy4', 'torsion': [2, 4]}
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id: 15645238
{'degree': 8, 'field': [315682, -17372, 16646, 1492, -845, 116, -34, -4, 1], 'lmfdb_label': '377520.dy4', 'torsion': [8]}
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id: 15645245
{'degree': 16, 'field': [-187985607751600, 131274760706560, -31011084303872, -6143206560, 1468654308640, -258168940240, 303045952, 4608933472, -604979928, 54853504, -4303768, -54832, 25484, 1932, -256, -8, 1], 'lmfdb_label': '377520.dy4', 'torsion': [12]}
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id: 15645243
{'degree': 16, 'field': [7445988, -2108304, 3700944, -3337776, 2241012, -1231032, 729252, -380184, 159301, -51112, 18970, -5500, 1543, -244, 58, -4, 1], 'lmfdb_label': '377520.dy4', 'torsion': [2, 8]}
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id: 15645241
{'degree': 16, 'field': [17875984, 0, -20710912, 0, 13127740, 0, -2827936, 0, 371785, 0, -30880, 0, 1786, 0, -64, 0, 1], 'lmfdb_label': '377520.dy4', 'torsion': [4, 4]}
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id: 15645242
{'degree': 16, 'field': [2013496384, 0, 488255632, 0, 164585441, 0, 15243564, 0, 241319, 0, 8520, 0, 1607, 0, -20, 0, 1], 'lmfdb_label': '377520.dy4', 'torsion': [2, 8]}
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id: 15645246
{'degree': 16, 'field': [112963866436, -155594325344, 73634464208, -8888312704, -2932149788, 565506600, 144409012, -43014752, 8284100, -3354472, 615472, -26700, 4132, -1724, 128, -4, 1], 'lmfdb_label': '377520.dy4', 'torsion': [12]}
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id: 15645244
{'degree': 16, 'field': [566688469876, 111170974120, -110498782572, -2071173280, 2867654192, -2240884152, 818066548, -61806680, 16509753, -680888, 112840, 11232, -598, -616, 108, -8, 1], 'lmfdb_label': '377520.dy4', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 9340951
{'conductor': 377520, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '377520.dy4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 9340952
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '377520.dy4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 9340953
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '377520.dy4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9340954
{'conductor': 377520, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '377520.dy4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9340955
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377520.dy4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 4011874
{'adelic_gens': [[2296, 3, 2293, 2], [7, 6, 3426, 3427], [3425, 8, 3424, 9], [1, 0, 8, 1], [3011, 3006, 434, 2147], [1, 8, 0, 1], [2495, 3424, 3116, 3399], [1, 4, 4, 17], [268, 1, 2399, 6], [1279, 1284, 1282, 3001]], 'adelic_image': '3432.48.0.?', 'conductor': 377520, 'lmfdb_label': '377520.dy4', 'prime': 0}
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id: 1292776
{'conductor': 377520, 'elladic_image': '8.12.0.12', 'lmfdb_label': '377520.dy4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 377520.dy does not appear in ec_padic