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ec_curvedata • Show schema
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{'Ciso': '2646l', 'Clabel': '2646l2', 'Cnumber': 2, 'abc_quality': 1.0230188027151483, 'absD': 400241898, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 504, 'ainvs': [1, -1, 0, -52047, -4557281], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 2646, 'degree': 5184, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1668389322239847826217381686', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3, 9], 'jinv': [-545407363875, 14], 'lmfdb_iso': '2646.f', 'lmfdb_label': '2646.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1062, 13590], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '21.8.0-3.a.1.1', '24.8.0-3.a.1.7', '63.72.0-63.d.2.1', '72.24.0.?', '168.16.0.?', '504.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.8184864579542122461224603832', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.26387126258205090801229038517', 'prec': 107}, 'szpiro_ratio': 5.607717088033576, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -5, 0, 0, 1, 3, 0, -2, 0], 'aplist': [-1, 0, 0, 0, 0, -5, 3, -2, 9, 3, -5, 2, -6, -1, -6, -3, -3, 10, -13, -9, -2, -10, -12, 15, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 2646, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '2646.f', 'trace_hash': 346518381290366600}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.096938563758935542869747295503', 'prec': 107}, 'conductor': 2646, 'gens': [[387, 5564, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.8184864579542122461224603832', 'prec': 100}], 'lmfdb_label': '2646.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15804117204177475712272013096', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4139123009629150802855167455036543768', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [387]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': 'a', '5': [1, 1, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2646.f1'}
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ec_torsion_growth • Show schema
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id: 136810
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '2646.f1', 'torsion': [3]}
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id: 136811
{'degree': 3, 'field': [-16, -6, 0, 1], 'lmfdb_label': '2646.f1', 'torsion': [2]}
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id: 136813
{'degree': 6, 'field': [-588, 0, 0, -252, 0, 0, 1], 'lmfdb_label': '2646.f1', 'torsion': [3]}
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id: 136814
{'degree': 6, 'field': [1, -1, 1, -1, 1, -1, 1], 'lmfdb_label': '2646.f1', 'torsion': [9]}
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id: 136815
{'degree': 6, 'field': [16, -12, 18, -6, -3, 0, 1], 'lmfdb_label': '2646.f1', 'torsion': [6]}
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id: 136812
{'degree': 6, 'field': [42, 0, 141, 0, 12, 0, 1], 'lmfdb_label': '2646.f1', 'torsion': [2, 2]}
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id: 136818
{'degree': 12, 'field': [1008, 0, 0, 0, 0, 0, 324, 0, 0, -36, 0, 0, 1], 'lmfdb_label': '2646.f1', 'torsion': [9]}
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id: 136819
{'degree': 12, 'field': [1576, 2568, 1626, 192, -279, 144, 380, 192, 30, -24, -6, 0, 1], 'lmfdb_label': '2646.f1', 'torsion': [2, 6]}
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id: 136816
{'degree': 12, 'field': [2214, -3402, -81, 1188, 621, -378, -9, -216, 99, -6, -3, 0, 1], 'lmfdb_label': '2646.f1', 'torsion': [4]}
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id: 136817
{'degree': 12, 'field': [351100, -39000, 9252, 58160, -25680, -4260, 1757, -366, 195, -80, 27, -6, 1], 'lmfdb_label': '2646.f1', 'torsion': [3, 3]}
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id: 136820
{'degree': 18, 'field': [-2744000, 0, 0, 362208, 0, 0, 1764, 0, 0, -8624, 0, 0, -84, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2646.f1', 'torsion': [6]}
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id: 136821
{'degree': 18, 'field': [4096, -12288, 20736, -28480, 33312, -32256, 23400, -14976, 9144, -4432, 2286, -792, 477, -114, 81, -10, 12, 0, 1], 'lmfdb_label': '2646.f1', 'torsion': [18]}
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ec_localdata • Show schema
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id: 46138
{'conductor': 2646, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2646.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 46139
{'conductor': 2646, 'conductor_valuation': 3, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '2646.f1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 46140
{'conductor': 2646, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2646.f1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1681188
{'adelic_gens': [[1, 18, 0, 1], [1, 18, 10, 181], [10, 9, 81, 73], [487, 18, 486, 19], [137, 270, 207, 307], [497, 486, 279, 347], [1, 0, 18, 1], [127, 18, 135, 163], [253, 18, 261, 163]], 'adelic_image': '504.144.3.?', 'conductor': 2646, 'lmfdb_label': '2646.f1', 'prime': 0}
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id: 13180
{'conductor': 2646, 'elladic_image': '9.12.0.1', 'lmfdb_label': '2646.f1', 'modell_image': '3B', 'prime': 3}
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ec_padic • Show schema
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id: 82569
{'lmfdb_iso': '2646.f', 'p': 13, 'prec': 20, 'unit': 1098283528446137314401, 'val': 1}
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id: 82571
{'lmfdb_iso': '2646.f', 'p': 17, 'prec': 20, 'unit': 143015408995083957668171, 'val': 1}
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id: 82572
{'lmfdb_iso': '2646.f', 'p': 19, 'prec': 20, 'unit': 1017268046593446404898165, 'val': 1}
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id: 82576
{'lmfdb_iso': '2646.f', 'p': 23, 'prec': 20, 'unit': 8566965818803746760474120, 'val': 1}
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id: 82568
{'lmfdb_iso': '2646.f', 'p': 29, 'prec': 20, 'unit': 3505874606924916748471084652, 'val': 1}
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id: 82580
{'lmfdb_iso': '2646.f', 'p': 31, 'prec': 20, 'unit': 6638127572034293472742279515, 'val': 1}
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id: 82564
{'lmfdb_iso': '2646.f', 'p': 37, 'prec': 20, 'unit': 338990528884873167457881639323, 'val': 1}
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id: 82566
{'lmfdb_iso': '2646.f', 'p': 41, 'prec': 20, 'unit': 491300657999844047863154527328, 'val': 1}
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id: 82567
{'lmfdb_iso': '2646.f', 'p': 43, 'prec': 20, 'unit': 7256286450420779531030099965035, 'val': 1}
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id: 82578
{'lmfdb_iso': '2646.f', 'p': 47, 'prec': 20, 'unit': 10167567914732516479827394260506, 'val': 1}
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id: 82573
{'lmfdb_iso': '2646.f', 'p': 53, 'prec': 20, 'unit': 295689281793912008806373911001292, 'val': 1}
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id: 82574
{'lmfdb_iso': '2646.f', 'p': 59, 'prec': 20, 'unit': 3561925679014091323546713615962106, 'val': 1}
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id: 82579
{'lmfdb_iso': '2646.f', 'p': 61, 'prec': 20, 'unit': 5817308640808127863733992342640373, 'val': 1}
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id: 82563
{'lmfdb_iso': '2646.f', 'p': 67, 'prec': 20, 'unit': 24921004983967163016835092049442331, 'val': 1}
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id: 82565
{'lmfdb_iso': '2646.f', 'p': 71, 'prec': 20, 'unit': 114547253171095615065597605166094502, 'val': 1}
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id: 82575
{'lmfdb_iso': '2646.f', 'p': 73, 'prec': 20, 'unit': 10813641732185340829415252620145067, 'val': 1}
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id: 82570
{'lmfdb_iso': '2646.f', 'p': 79, 'prec': 20, 'unit': 1127889232690313118520516624541641940, 'val': 1}
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id: 82562
{'lmfdb_iso': '2646.f', 'p': 83, 'prec': 20, 'unit': 2048606726994922137016411464642527526, 'val': 1}
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id: 82577
{'lmfdb_iso': '2646.f', 'p': 89, 'prec': 20, 'unit': 7099697721081904759216331703562880035, 'val': 1}
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id: 82561
{'lmfdb_iso': '2646.f', 'p': 97, 'prec': 20, 'unit': 12660564666951407969333045030082225164, 'val': 1}