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ec_curvedata • Show schema
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{'Ciso': '6240c', 'Clabel': '6240c4', 'Cnumber': 4, 'abc_quality': 0.8869581545231372, 'absD': 219348480, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, 104, -620], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6240, 'degree': 2048, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.28533801215580929454920833919', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [240641848, 428415], 'lmfdb_iso': '6240.e', 'lmfdb_label': '6240.e4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 104, -620], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0-4.c.1.2', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '-0.23452237326414968751371575190', 'prec': 107}, 'szpiro_ratio': 3.0058996189170406, '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, 0, 0, 1, 0, 4, 0, 1, 0, 1, 0, 6, 0, 4, 0], 'aplist': [0, -1, -1, 0, 4, 1, 6, 4, 0, 2, 8, 6, -10, -4, 8, 6, -12, -10, -4, 12, -2, 8, -8, -2, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 6240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6240.e', 'trace_hash': 833577681497972402}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.56514325895009341940761442426', 'prec': 103}, 'conductor': 6240, 'gens': [], 'heights': [], 'lmfdb_label': '6240.e4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.92938816891485510908817725344', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8587763378297102181763545068778372695', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[5, 0, 1]], 'xcoord_integral_points': [5]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '6240.e4'}
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ec_torsion_growth • Show schema
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id: 324869
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [4]}
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id: 324870
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '6240.e4', 'torsion': [4]}
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id: 324868
{'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [2, 2]}
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id: 324871
{'degree': 4, 'field': [100, 0, 10, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [2, 4]}
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id: 324875
{'degree': 8, 'field': [-243, 0, 1656, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [6]}
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id: 324874
{'degree': 8, 'field': [900, 0, 180, 0, 66, 0, -6, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [8]}
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id: 324872
{'degree': 8, 'field': [1521, 0, 972, 0, 114, 0, -12, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [2, 4]}
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id: 324873
{'degree': 8, 'field': [6591, 2028, -1534, -936, 339, 152, -46, -4, 1], 'lmfdb_label': '6240.e4', 'torsion': [8]}
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id: 324881
{'degree': 16, 'field': [59049, 0, 402408, 0, 2729214, 0, 89424, 0, 3159, 0, 3312, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [12]}
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id: 324876
{'degree': 16, 'field': [923521, 0, 342116, 0, 63310, 0, 31184, 0, 4819, 0, -976, 0, -50, 0, -4, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [4, 4]}
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id: 324877
{'degree': 16, 'field': [18974736, 0, 12858912, 0, 6414336, 0, 1454112, 0, 239004, 0, 432, 0, -384, 0, 12, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [2, 8]}
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id: 324879
{'degree': 16, 'field': [20820969, 0, 31977504, 0, 21506940, 0, 7255872, 0, 1151550, 0, 44832, 0, 2412, 0, 0, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [2, 6]}
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id: 324878
{'degree': 16, 'field': [43441281, 13366548, 14223378, 9227400, 2017015, 1062672, 481494, 29380, 163814, -26420, 31886, -5216, 2385, -120, 62, -4, 1], 'lmfdb_label': '6240.e4', 'torsion': [2, 8]}
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id: 324880
{'degree': 16, 'field': [437520889, 0, 267495904, 0, 2896660, 0, -13692368, 0, 1316590, 0, -54848, 0, 2692, 0, -80, 0, 1], 'lmfdb_label': '6240.e4', 'torsion': [12]}
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ec_localdata • Show schema
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id: 124585
{'conductor': 6240, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6240.e4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 124586
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6240.e4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 124587
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6240.e4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 124588
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6240.e4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1704865
{'adelic_gens': [[1081, 8, 1204, 33], [628, 1, 1271, 6], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 1554, 1555], [1553, 8, 1552, 9], [1369, 1368, 598, 1375], [1048, 3, 1045, 2], [1368, 593, 187, 174]], 'adelic_image': '1560.48.0.?', 'conductor': 6240, 'lmfdb_label': '6240.e4', 'prime': 0}
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id: 30634
{'conductor': 6240, 'elladic_image': '4.6.0.1', 'lmfdb_label': '6240.e4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 6240.e does not appear in ec_padic
