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ec_curvedata • Show schema
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{'Ciso': '346560dr', 'Clabel': '346560dr1', 'Cnumber': 1, 'abc_quality': 0.9195748306010464, 'absD': 11651336110080, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [0, -1, 0, -14465, 694305], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 346560, 'degree': 737280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2801467038116426834933434982', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 95, 'isogeny_degrees': [1, 2], 'jinv': [-186169411, 6480], 'lmfdb_iso': '346560.dr', 'lmfdb_label': '346560.dr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -226, -1441], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.e.1', '76.6.0.?', '190.6.0.?', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9456257442213442547614951538', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49568381181988539563476154196', 'prec': 107}, 'szpiro_ratio': 3.1680102630243856, '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, -2, 0, 1, 0, 0, 0, 2, 0, -1, 0, -6, 0, 0, 0], 'aplist': [0, -1, 1, -2, 0, 2, -6, 0, -6, -4, 0, 10, 8, 2, 2, -2, 0, -14, -4, 12, 6, -8, 2, 8, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 346560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '346560.dr', 'trace_hash': 802429776038623301}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.077282061970318709206646317666', 'prec': 107}, 'conductor': 346560, 'gens': [[32, 513, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9456257442213442547614951538', 'prec': 100}], 'lmfdb_label': '346560.dr2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.71155568359884672426478099498', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5376842258277340717884813781007952530', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-139, 0, 1]], 'xcoord_integral_points': [-139, 32, 117]}
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lmfdb_label 346560.dr2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14472225
{'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '346560.dr2', 'torsion': [2, 2]}
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id: 14472226
{'degree': 4, 'field': [-95, 0, -76, 0, 1], 'lmfdb_label': '346560.dr2', 'torsion': [4]}
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id: 14472229
{'degree': 8, 'field': [-732108, 0, -22382, 0, 2964, 0, 0, 0, 1], 'lmfdb_label': '346560.dr2', 'torsion': [6]}
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id: 14472227
{'degree': 8, 'field': [12996, 0, -7220, 0, 1653, 0, 0, 0, 1], 'lmfdb_label': '346560.dr2', 'torsion': [2, 4]}
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id: 14472228
{'degree': 8, 'field': [207936, 0, 20216, 0, 1976, 0, 76, 0, 1], 'lmfdb_label': '346560.dr2', 'torsion': [2, 4]}
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id: 14472230
{'degree': 16, 'field': [26793540, -83927520, 10782360, 142755600, -62131208, -12244016, 5994764, -1633176, 384565, 39176, -30944, 12272, -1742, -168, 44, -8, 1], 'lmfdb_label': '346560.dr2', 'torsion': [8]}
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id: 14472231
{'degree': 16, 'field': [43081403956, -169887054368, 160508120874, 17846813520, -6636809040, -2769601716, 967783624, -41829188, 15120255, -3333420, 892800, -125052, 22298, -700, 120, -8, 1], 'lmfdb_label': '346560.dr2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8576152
{'conductor': 346560, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '346560.dr2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8576153
{'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '346560.dr2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 8576154
{'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '346560.dr2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 8576155
{'conductor': 346560, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '346560.dr2', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3827878
{'adelic_gens': [[154, 1, 303, 0], [1, 2, 2, 5], [1, 4, 0, 1], [84, 1, 359, 0], [377, 4, 376, 5], [1, 0, 4, 1], [3, 4, 8, 11], [289, 96, 284, 95]], 'adelic_image': '380.12.0.?', 'conductor': 346560, 'lmfdb_label': '346560.dr2', 'prime': 0}
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id: 1200068
{'conductor': 346560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '346560.dr2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 346560.dr does not appear in ec_padic