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ec_curvedata • Show schema
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{'Ciso': '11970br', 'Clabel': '11970br4', 'Cnumber': 4, 'abc_quality': 1.0308751752376573, 'absD': 223449429168000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 1, -112896068, 461735093607], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11970, 'degree': 860160, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9182532221785639170365578782', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 35, 'isogeny_degrees': [1, 2, 4], 'jinv': [218289391029690300712901881, 306514992000], 'lmfdb_iso': '11970.bj', 'lmfdb_label': '11970.bj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -12544007, -17105481099], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '60.12.0-4.c.1.1', '120.24.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8831001609331836274053280465', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3689470778445090713389352597', 'prec': 100}, 'szpiro_ratio': 7.160639033973092, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, -1, 0, -1, 1, 0, -1, 4, 0, 2, -1, 0, 1, -6, 0, -1, -1], 'aplist': [1, 0, -1, -1, 4, 2, -6, -1, 4, -6, -4, -6, -6, 0, 4, -2, -8, -2, -12, 0, 10, 4, -4, 2, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 11970, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '11970.bj', 'trace_hash': 1720878809836032565}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0029190226011835965747043176790', 'prec': 110}, 'conductor': 11970, 'gens': [[6225, 9161, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8831001609331836274053280465', 'prec': 100}], 'lmfdb_label': '11970.bj1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25209695387513834051936841193', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6461334017825373050086937005545931729', 'prec': 130}, 'tamagawa_product': 56, 'torsion_generators': [[24539, -24543, 2]], 'xcoord_integral_points': [6137, 6225]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': 'a', '5': [3, 0], '7': [1, 0], '11': [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, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11970.bj1'}
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ec_torsion_growth • Show schema
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id: 619052
{'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [2, 2]}
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id: 619054
{'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [4]}
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id: 619053
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [4]}
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id: 619055
{'degree': 4, 'field': [49, 0, -16, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [2, 4]}
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id: 619059
{'degree': 8, 'field': [-300, 0, 627, 0, -225, 0, 25, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [6]}
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id: 619057
{'degree': 8, 'field': [196, 0, -2864, 0, 756, 0, -56, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [8]}
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id: 619056
{'degree': 8, 'field': [2149156, 0, 35312, 0, -2916, 0, 8, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [2, 4]}
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id: 619058
{'degree': 8, 'field': [22756906, -330842, 640183, -44734, 19085, -454, 193, -2, 1], 'lmfdb_label': '11970.bj1', 'torsion': [8]}
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id: 619064
{'degree': 16, 'field': [67600, 0, -28312, 0, 69556, 0, -26584, 0, -2444, 0, -460, 0, 88, 0, -4, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [12]}
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id: 619061
{'degree': 16, 'field': [194481, 0, -1524096, 0, 2445552, 0, -1455840, 0, 393426, 0, -51840, 0, 3312, 0, -96, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [2, 8]}
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id: 619065
{'degree': 16, 'field': [8738510400, 0, -5515816320, 0, 1377099504, 0, -150612000, 0, 7362780, 0, -167496, 0, 2725, 0, -70, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [12]}
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id: 619060
{'degree': 16, 'field': [291843050625, 0, 0, 0, 0, 0, 0, 0, 18367650, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [4, 4]}
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id: 619063
{'degree': 16, 'field': [1692627020100, 0, -432146408940, 0, 44011405629, 0, -2280164550, 0, 66855435, 0, -1256496, 0, 17875, 0, -190, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [2, 6]}
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id: 619062
{'degree': 16, 'field': [3385585280016, 0, -84240405648, 0, 6512958900, 0, -492146928, 0, 21538224, 0, -296352, 0, 2205, 0, -42, 0, 1], 'lmfdb_label': '11970.bj1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 258138
{'conductor': 11970, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '11970.bj1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 258139
{'conductor': 11970, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '11970.bj1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 258140
{'conductor': 11970, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '11970.bj1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 258141
{'conductor': 11970, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11970.bj1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 258142
{'conductor': 11970, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '11970.bj1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1743333
{'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [288, 1433, 1987, 1974], [856, 2003, 859, 888], [1516, 2279, 737, 2274], [7, 6, 2274, 2275], [2273, 8, 2272, 9], [1921, 8, 844, 33], [1376, 3, 5, 2]], 'adelic_image': '2280.48.0.?', 'conductor': 11970, 'lmfdb_label': '11970.bj1', 'prime': 0}
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id: 57157
{'conductor': 11970, 'elladic_image': '8.12.0.8', 'lmfdb_label': '11970.bj1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 521681
{'lmfdb_iso': '11970.bj', 'p': 11, 'prec': 20, 'unit': 49084382456082057232, 'val': 1}
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id: 521683
{'lmfdb_iso': '11970.bj', 'p': 13, 'prec': 20, 'unit': 956968895814292969576, 'val': 1}
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id: 521685
{'lmfdb_iso': '11970.bj', 'p': 17, 'prec': 20, 'unit': 173672436550537310776408, 'val': 1}
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id: 521690
{'lmfdb_iso': '11970.bj', 'p': 23, 'prec': 20, 'unit': 1592194496075240696455955, 'val': 1}
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id: 521682
{'lmfdb_iso': '11970.bj', 'p': 29, 'prec': 20, 'unit': 2911149438872828812056833469, 'val': 1}
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id: 521694
{'lmfdb_iso': '11970.bj', 'p': 31, 'prec': 20, 'unit': 18095705660270822308358883058, 'val': 1}
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id: 521679
{'lmfdb_iso': '11970.bj', 'p': 37, 'prec': 20, 'unit': 485461327240401337637450027569, 'val': 1}
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id: 521680
{'lmfdb_iso': '11970.bj', 'p': 41, 'prec': 20, 'unit': 737302001245698514174553375570, 'val': 1}
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id: 521692
{'lmfdb_iso': '11970.bj', 'p': 47, 'prec': 20, 'unit': 55739280423000507120474374308390, 'val': 1}
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id: 521687
{'lmfdb_iso': '11970.bj', 'p': 53, 'prec': 20, 'unit': 228244712217162584990158642637068, 'val': 1}
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id: 521688
{'lmfdb_iso': '11970.bj', 'p': 59, 'prec': 20, 'unit': 3963022863766349790469535431194861, 'val': 1}
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id: 521693
{'lmfdb_iso': '11970.bj', 'p': 61, 'prec': 20, 'unit': 7538718506517465602807084742357753, 'val': 1}
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id: 521678
{'lmfdb_iso': '11970.bj', 'p': 67, 'prec': 20, 'unit': 21553715416770379080980240524386857, 'val': 1}
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id: 521689
{'lmfdb_iso': '11970.bj', 'p': 73, 'prec': 20, 'unit': 51693621896648342571042685494301595, 'val': 1}
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id: 521684
{'lmfdb_iso': '11970.bj', 'p': 79, 'prec': 20, 'unit': 113086673477619009860352874035003740, 'val': 1}
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id: 521686
{'lmfdb_iso': '11970.bj', 'p': 83, 'prec': 20, 'unit': 17290077491002973784317575392416197, 'val': 1}
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id: 521691
{'lmfdb_iso': '11970.bj', 'p': 89, 'prec': 20, 'unit': 8017443750490085684196706785468337698, 'val': 1}
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id: 521677
{'lmfdb_iso': '11970.bj', 'p': 97, 'prec': 20, 'unit': 37335528583455968321886867235874492007, 'val': 1}