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ec_curvedata • Show schema
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{'Ciso': '2646l', 'Clabel': '2646l3', 'Cnumber': 3, 'abc_quality': 1.014071361016312, 'absD': 8299415996928, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 504, 'ainvs': [1, -1, 0, 4548, 71504], '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': 2, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3, 9], 'jinv': [4492125, 3584], 'lmfdb_iso': '2646.f', 'lmfdb_label': '2646.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 93, -235], '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.1.2', '24.8.0-3.a.1.8', '63.72.0-63.d.1.2', '72.24.0.?', '168.16.0.?', '504.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.42427627310602358290249559813', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63007535880475413847737213081', 'prec': 107}, 'szpiro_ratio': 4.679827883173772, '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': [[-5, 223, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.42427627310602358290249559813', 'prec': 103}], 'lmfdb_label': '2646.f3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.47412351612532427136816039288', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4139123009629150802855167455036543768', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-5, 121]}
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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.f3'}
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ec_torsion_growth • Show schema
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id: 136822
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '2646.f3', 'torsion': [3]}
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id: 136823
{'degree': 3, 'field': [-16, -6, 0, 1], 'lmfdb_label': '2646.f3', 'torsion': [2]}
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id: 136827
{'degree': 6, 'field': [1, -3, 0, -17, 0, -3, 1], 'lmfdb_label': '2646.f3', 'torsion': [6]}
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id: 136825
{'degree': 6, 'field': [7, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2646.f3', 'torsion': [3]}
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id: 136826
{'degree': 6, 'field': [28, 84, 63, -14, -21, 0, 1], 'lmfdb_label': '2646.f3', 'torsion': [9]}
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id: 136824
{'degree': 6, 'field': [42, 0, 141, 0, 12, 0, 1], 'lmfdb_label': '2646.f3', 'torsion': [2, 2]}
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id: 136830
{'degree': 12, 'field': [7, 0, 0, -14, 0, 0, 32, 0, 0, -10, 0, 0, 1], 'lmfdb_label': '2646.f3', 'torsion': [9]}
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id: 136829
{'degree': 12, 'field': [64, -48, -84, 230, -15, -168, 155, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '2646.f3', 'torsion': [3, 3]}
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id: 136831
{'degree': 12, 'field': [900, 0, 1422, 0, 945, 0, 336, 0, 75, 0, 12, 0, 1], 'lmfdb_label': '2646.f3', 'torsion': [2, 6]}
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id: 136828
{'degree': 12, 'field': [2214, -3402, -81, 1188, 621, -378, -9, -216, 99, -6, -3, 0, 1], 'lmfdb_label': '2646.f3', 'torsion': [4]}
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id: 136832
{'degree': 18, 'field': [484, 1404, 252, 2124, 2247, -7545, 8913, -8328, 6546, -4668, 2334, -924, 558, -192, -6, -12, 15, -3, 1], 'lmfdb_label': '2646.f3', 'torsion': [6]}
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id: 136833
{'degree': 18, 'field': [104959, -404013, 200721, 513348, -504642, 236586, 41790, -127152, 31581, 41057, -39513, 5592, 7518, -2730, -402, 276, -9, -9, 1], 'lmfdb_label': '2646.f3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 46141
{'conductor': 2646, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '2646.f3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 46142
{'conductor': 2646, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '2646.f3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 46143
{'conductor': 2646, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2646.f3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1681190
{'adelic_gens': [[1, 18, 0, 1], [1, 18, 10, 181], [10, 9, 81, 73], [487, 18, 486, 19], [262, 9, 369, 496], [496, 117, 387, 38], [1, 0, 18, 1], [10, 9, 243, 496], [212, 495, 153, 20]], 'adelic_image': '504.144.3.?', 'conductor': 2646, 'lmfdb_label': '2646.f3', 'prime': 0}
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id: 13182
{'conductor': 2646, 'elladic_image': '9.12.0.1', 'lmfdb_label': '2646.f3', '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}