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ec_curvedata • Show schema
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{'Ciso': '369600rr', 'Clabel': '369600rr5', 'Cnumber': 5, 'abc_quality': 1.0469757873672974, 'absD': 768348885790912471311974400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -41981776033, 3030354502628063], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 1698693120, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.0484453090891576158310918031', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 459, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1997773216431678333214187041, 187585177195046990066400], 'lmfdb_iso': '369600.rr', 'lmfdb_label': '369600.rr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -26238610, -47360440513], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1', '24.24.0-8.n.1.7', '40.24.0-8.n.1.6', '48.48.0-16.e.1.9', '56.24.0.bh.1', '80.48.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '3.2040055820321894644048639543', 'prec': 100}, 'szpiro_ratio': 6.629792235444803, '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, 1, 0, 1, 0, -1, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 1, 0, 1, -1, -2, -2, -4, 8, -6, -8, -2, 2, -4, 8, -10, -12, 2, 4, -8, -2, -16, 4, -14, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 369600, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '369600.rr', 'trace_hash': 665810764358380219}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.000041207486037359582427510299994', 'prec': 117}, 'conductor': 369600, 'gens': [], 'heights': [], 'lmfdb_label': '369600.rr2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.015534419823715364800984527538', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.74565215153833751044725732183975072559', 'prec': 133}, 'tamagawa_product': 192, 'torsion_generators': [[145393, 0, 1]], 'xcoord_integral_points': [145393]}
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lmfdb_label 369600.rr2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15348096
{'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [4]}
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id: 15348094
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [2, 2]}
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id: 15348095
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [4]}
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id: 15348097
{'degree': 4, 'field': [1, 0, -12, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [2, 4]}
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id: 15348098
{'degree': 4, 'field': [1, 0, -8, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [8]}
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id: 15348099
{'degree': 4, 'field': [15, 30, -29, -2, 1], 'lmfdb_label': '369600.rr2', 'torsion': [8]}
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id: 15348104
{'degree': 8, 'field': [-10800, 0, 3690, 0, -360, 0, 0, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [6]}
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id: 15348102
{'degree': 8, 'field': [9, 612, -324, -540, 181, 104, -30, -4, 1], 'lmfdb_label': '369600.rr2', 'torsion': [2, 8]}
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id: 15348101
{'degree': 8, 'field': [2401, 0, -1372, 0, 644, 0, -28, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [8]}
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id: 15348103
{'degree': 8, 'field': [3721, 0, -13756, 0, 1806, 0, -76, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [16]}
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id: 15348100
{'degree': 8, 'field': [289584, 177408, 50256, 4032, -932, -336, -4, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [2, 4]}
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id: 15348106
{'degree': 16, 'field': [1521, 17472, 100352, 308560, 511858, 218008, 31360, -25312, -585, 2408, 1568, -224, -90, -56, 0, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [2, 8]}
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id: 15348109
{'degree': 16, 'field': [3444736, 0, -218136448, 0, -17382272, 0, -1855776, 0, 129840, 0, 5784, 0, 988, 0, -28, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [2, 6]}
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id: 15348110
{'degree': 16, 'field': [4100625, 0, -151996500, 0, -10089900, 0, -1114300, 0, 140150, 0, 6020, 0, 820, 0, -20, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [12]}
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id: 15348108
{'degree': 16, 'field': [8042896, 0, -147493120, 0, 141431296, 0, -38907520, 0, 4768936, 0, -299200, 0, 9856, 0, -160, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [2, 16]}
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id: 15348105
{'degree': 16, 'field': [327573801, -401363424, 245887488, -121065840, 47897658, -14539896, 4233600, -864864, 115615, -63336, 14112, 672, 470, -168, 0, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [4, 4]}
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id: 15348111
{'degree': 16, 'field': [1387625100625, 0, -490678403500, 0, 64623982600, 0, -3974120800, 0, 123503650, 0, -2444020, 0, 33580, 0, -280, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [12]}
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id: 15348107
{'degree': 16, 'field': [98456006250000, 0, 0, 0, -4167450000, 0, 0, 0, -17154900, 0, 0, 0, -420, 0, 0, 0, 1], 'lmfdb_label': '369600.rr2', 'torsion': [16]}
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ec_localdata • Show schema
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id: 9146197
{'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '369600.rr2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 9146198
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '369600.rr2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 9146199
{'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '369600.rr2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 9146200
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.rr2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 9146201
{'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '369600.rr2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3964997
{'adelic_gens': [[5, 4, 1676, 1677], [1, 16, 0, 1], [1665, 16, 1664, 17], [15, 2, 1582, 1667], [496, 5, 915, 1666], [1133, 16, 304, 1365], [1, 0, 16, 1], [202, 1255, 1467, 838], [659, 1664, 592, 315], [1252, 1255, 837, 838]], 'adelic_image': '1680.192.1.?', 'conductor': 369600, 'lmfdb_label': '369600.rr2', 'prime': 0}
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id: 1269547
{'conductor': 369600, 'elladic_image': '16.24.0.1', 'lmfdb_label': '369600.rr2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 369600.rr does not appear in ec_padic