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ec_curvedata • Show schema
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{'Ciso': '62400a', 'Clabel': '62400a3', 'Cnumber': 3, 'abc_quality': 0.9121904623608941, 'absD': 336960000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, 6367, 859137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62400, 'degree': 147456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4684949934764874832256366609', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 67, 'isogeny_degrees': [1, 2, 4], 'jinv': [55742968, 658125], 'lmfdb_iso': '62400.cp', 'lmfdb_label': '62400.cp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 64, 840], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '24.12.0-4.c.1.6', '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': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2103758899818703372715272857', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20265793844049434084628315754', 'prec': 107}, 'szpiro_ratio': 3.7002319641826724, '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, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 0, 0, -1, -2, 4, -4, 6, 8, -6, -2, 4, 0, 6, 0, 2, 8, 0, -6, -4, -12, 6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 62400, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '62400.cp', 'trace_hash': 260905969579640731}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.053025094998530603908333751521', 'prec': 107}, 'conductor': 62400, 'gens': [[-37, 756, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2103758899818703372715272857', 'prec': 100}], 'lmfdb_label': '62400.cp4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.39903332977077367632716945663', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1241879247811067897649800737671067338', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-73, 0, 1]], 'xcoord_integral_points': [-73, -37, 552]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [3, 1, 0], '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': [3, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '62400.cp4'}
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ec_torsion_growth • Show schema
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id: 2985179
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '62400.cp4', 'torsion': [4]}
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id: 2985178
{'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '62400.cp4', 'torsion': [2, 2]}
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id: 2985180
{'degree': 2, 'field': [130, 0, 1], 'lmfdb_label': '62400.cp4', 'torsion': [4]}
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id: 2985181
{'degree': 4, 'field': [755, -50, 51, -2, 1], 'lmfdb_label': '62400.cp4', 'torsion': [2, 4]}
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id: 2985185
{'degree': 8, 'field': [-1875, 0, -14000, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '62400.cp4', 'torsion': [6]}
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id: 2985183
{'degree': 8, 'field': [12625, 100, -230, 280, -189, 56, -14, -4, 1], 'lmfdb_label': '62400.cp4', 'torsion': [8]}
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id: 2985182
{'degree': 8, 'field': [16641, 0, -5740, 0, 358, 0, 20, 0, 1], 'lmfdb_label': '62400.cp4', 'torsion': [2, 4]}
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id: 2985184
{'degree': 8, 'field': [144400, 0, 26240, 0, 3336, 0, 128, 0, 1], 'lmfdb_label': '62400.cp4', 'torsion': [8]}
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id: 2985190
{'degree': 16, 'field': [13541, 30952, -11096, -41400, 21370, 9464, -21236, 17392, -6645, 1480, -340, 128, -82, 0, 20, -8, 1], 'lmfdb_label': '62400.cp4', 'torsion': [12]}
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id: 2985186
{'degree': 16, 'field': [245025, 0, 637740, 0, 80086, 0, -39168, 0, 4199, 0, 456, 0, -46, 0, 12, 0, 1], 'lmfdb_label': '62400.cp4', 'torsion': [4, 4]}
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id: 2985188
{'degree': 16, 'field': [22848400, 0, 5405440, 0, -1332944, 0, -483392, 0, 105724, 0, -6176, 0, 604, 0, -32, 0, 1], 'lmfdb_label': '62400.cp4', 'torsion': [2, 8]}
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id: 2985191
{'degree': 16, 'field': [128840464, -7098176, -49266624, -541504832, 1030127776, -798166752, 331907424, -78492960, 9576600, 4560, -201264, 30576, -776, -8, 24, -8, 1], 'lmfdb_label': '62400.cp4', 'torsion': [12]}
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id: 2985187
{'degree': 16, 'field': [3723695145, 978834780, -814504356, -314848836, 123758568, 38012616, -8792472, -3129468, 545497, 147544, -19292, -5396, 778, 28, 16, -8, 1], 'lmfdb_label': '62400.cp4', 'torsion': [2, 8]}
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id: 2985189
{'degree': 16, 'field': [300736588164, -318689186784, 163914428128, -56837382704, 14829514624, -2901224592, 403846824, -27989520, -3080460, 1636320, -307344, 36504, -2388, -216, 76, -8, 1], 'lmfdb_label': '62400.cp4', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 1504125
{'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '62400.cp4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1504126
{'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '62400.cp4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1504127
{'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '62400.cp4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1504128
{'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.cp4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2077411
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [521, 8, 524, 33], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [1204, 1, 1463, 6], [584, 1357, 1365, 1364], [623, 1552, 932, 1527], [584, 1357, 191, 162]], 'adelic_image': '1560.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.cp4', 'prime': 0}
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id: 262479
{'conductor': 62400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '62400.cp4', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 3173424
{'lmfdb_iso': '62400.cp', 'p': 17, 'prec': 20, 'unit': 78536812125370060575485, 'val': 1}
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id: 3173416
{'lmfdb_iso': '62400.cp', 'p': 19, 'prec': 20, 'unit': 82969925636966269763796, 'val': 1}
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id: 3173428
{'lmfdb_iso': '62400.cp', 'p': 23, 'prec': 20, 'unit': 58363795227109679711452053, 'val': 1}
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id: 3173422
{'lmfdb_iso': '62400.cp', 'p': 29, 'prec': 20, 'unit': 5550212439076032626343840518, 'val': 1}
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id: 3173431
{'lmfdb_iso': '62400.cp', 'p': 31, 'prec': 20, 'unit': 6317217136449835664002319132, 'val': 1}
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id: 3173419
{'lmfdb_iso': '62400.cp', 'p': 37, 'prec': 20, 'unit': 4620939229892822591662923911, 'val': 1}
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id: 3173420
{'lmfdb_iso': '62400.cp', 'p': 41, 'prec': 20, 'unit': 1282071634289963917682694887666, 'val': 1}
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id: 3173421
{'lmfdb_iso': '62400.cp', 'p': 43, 'prec': 20, 'unit': 203115324389149326120535474680, 'val': 2}
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id: 3173426
{'lmfdb_iso': '62400.cp', 'p': 53, 'prec': 20, 'unit': 139715122277542825322012423182257, 'val': 1}
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id: 3173430
{'lmfdb_iso': '62400.cp', 'p': 61, 'prec': 20, 'unit': 2205362282488004230182476543054601, 'val': 1}
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id: 3173418
{'lmfdb_iso': '62400.cp', 'p': 67, 'prec': 20, 'unit': 36115269318759900530105872854481787, 'val': 1}
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id: 3173427
{'lmfdb_iso': '62400.cp', 'p': 73, 'prec': 20, 'unit': 132602304492879210442941824021175095, 'val': 1}
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id: 3173423
{'lmfdb_iso': '62400.cp', 'p': 79, 'prec': 20, 'unit': 575291057921400201472856493853483408, 'val': 1}
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id: 3173425
{'lmfdb_iso': '62400.cp', 'p': 83, 'prec': 20, 'unit': 1425792650733257666848100217639897617, 'val': 1}
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id: 3173429
{'lmfdb_iso': '62400.cp', 'p': 89, 'prec': 20, 'unit': 4342077539767968976260652808295474459, 'val': 1}
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id: 3173417
{'lmfdb_iso': '62400.cp', 'p': 97, 'prec': 20, 'unit': 44203274237439431164366203094551322489, 'val': 1}