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ec_curvedata • Show schema
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{'Ciso': '270480gw', 'Clabel': '270480gw1', 'Cnumber': 1, 'abc_quality': 0.9919076307042978, 'absD': 333674724930355200000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19320, 'ainvs': [0, 1, 0, -172638776, 873025222740], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 270480, 'degree': 35389440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2621956052879126189737226695', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 178, 'isogeny_degrees': [1, 2, 4], 'jinv': [1180838681727016392361, 692428800000], 'lmfdb_iso': '270480.gw', 'lmfdb_label': '270480.gw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -220203, 39754006], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.ba.1', '56.12.0-4.c.1.5', '140.12.0.?', '280.24.0.?', '552.12.0.?', '690.6.0.?', '1380.12.0.?', '1932.12.0.?', '2760.24.0.?', '3864.24.0.?', '9660.24.0.?', '19320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5960933502003106570038141763', 'prec': 100}, 'szpiro_ratio': 5.477613847074771, '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, 0, 0, 1, 0, 4, 0, 2, 0, -1, 0, 6, 0, 0, 0], 'aplist': [0, 1, -1, 0, 4, 2, 6, 0, -1, -2, 8, 2, -2, 4, -8, 6, 8, 2, -4, 12, 14, 12, -12, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 270480, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '270480.gw', 'trace_hash': 195640101750919654}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0014672120984141847503122735513', 'prec': 110}, 'conductor': 270480, 'gens': [], 'heights': [], 'lmfdb_label': '270480.gw3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14090873241654893173474766759', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0727143669957615424509160334045813317', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[7590, 0, 1]], 'xcoord_integral_points': [7590]}
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lmfdb_label 270480.gw3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11555519
{'degree': 2, 'field': [-483, 0, 1], 'lmfdb_label': '270480.gw3', 'torsion': [4]}
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id: 11555518
{'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '270480.gw3', 'torsion': [2, 2]}
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id: 11555520
{'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '270480.gw3', 'torsion': [4]}
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id: 11555521
{'degree': 4, 'field': [2566, 242, -241, -2, 1], 'lmfdb_label': '270480.gw3', 'torsion': [2, 4]}
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id: 11555525
{'degree': 8, 'field': [-1383123, 0, -59836, 0, -4074, 0, 0, 0, 1], 'lmfdb_label': '270480.gw3', 'torsion': [6]}
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id: 11555524
{'degree': 8, 'field': [5336, -6160, 2018, -630, 369, -70, 32, 0, 1], 'lmfdb_label': '270480.gw3', 'torsion': [8]}
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id: 11555522
{'degree': 8, 'field': [81771, -38796, 38592, 372, -95, -112, 42, -4, 1], 'lmfdb_label': '270480.gw3', 'torsion': [2, 4]}
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id: 11555523
{'degree': 8, 'field': [234256, 0, -75988, 0, 6285, 0, -157, 0, 1], 'lmfdb_label': '270480.gw3', 'torsion': [8]}
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id: 11555527
{'degree': 16, 'field': [-47484044, 427367660, -190514082, -423068426, 90379497, 130463904, -19556834, -18666728, 2429370, 1384262, -171842, -54408, 6702, 1064, -132, -8, 1], 'lmfdb_label': '270480.gw3', 'torsion': [2, 8]}
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id: 11555528
{'degree': 16, 'field': [1806336, -10838016, 26402880, -33213600, 21756424, -6007896, 1706802, 270710, -83839, 2594, 7652, -4462, 774, -42, 26, -8, 1], 'lmfdb_label': '270480.gw3', 'torsion': [2, 8]}
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id: 11555526
{'degree': 16, 'field': [791915881, 0, -365705748, 0, 65843458, 0, -5711796, 0, 80355, 0, 32724, 0, 2578, 0, 72, 0, 1], 'lmfdb_label': '270480.gw3', 'torsion': [4, 4]}
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id: 11555531
{'degree': 16, 'field': [5034186304, 0, -13770396304, 0, -883459220, 0, -35403627, 0, 421890, 0, 9933, 0, 3997, 0, -70, 0, 1], 'lmfdb_label': '270480.gw3', 'torsion': [12]}
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id: 11555530
{'degree': 16, 'field': [5054385721764, 441111281520, -485162729568, 101755519176, -85485265134, 42866235522, -16531198847, 1949625568, -521909826, 23158460, -4787815, 85080, -14089, -70, 30, -8, 1], 'lmfdb_label': '270480.gw3', 'torsion': [12]}
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id: 11555529
{'degree': 16, 'field': [208437525379080, 528778668767400, -509546284119756, -38056402125840, 18012020360460, 1206189780264, -380129426348, -18578511992, 4368634845, 181818440, -34196512, -1169616, 184562, 4760, -660, -8, 1], 'lmfdb_label': '270480.gw3', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 6701953
{'conductor': 270480, 'conductor_valuation': 4, 'discriminant_valuation': 28, 'j_denominator_valuation': 16, 'kodaira_symbol': -24, 'lmfdb_label': '270480.gw3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6701954
{'conductor': 270480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '270480.gw3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 6701955
{'conductor': 270480, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '270480.gw3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6701956
{'conductor': 270480, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '270480.gw3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6701957
{'conductor': 270480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '270480.gw3', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3373862
{'adelic_gens': [[19313, 8, 19312, 9], [6551, 6552, 10682, 14825], [1, 0, 8, 1], [16559, 0, 0, 19319], [1, 8, 0, 1], [1, 4, 4, 17], [7939, 7938, 18298, 14155], [7, 6, 19314, 19315], [13084, 8281, 16583, 2766], [18404, 8281, 3703, 2766], [7736, 5523, 2765, 8282]], 'adelic_image': '19320.48.0.?', 'conductor': 270480, 'lmfdb_label': '270480.gw3', 'prime': 0}
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id: 966732
{'conductor': 270480, 'elladic_image': '4.6.0.1', 'lmfdb_label': '270480.gw3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 270480.gw does not appear in ec_padic