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ec_curvedata • Show schema
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{'Ciso': '348480qt', 'Clabel': '348480qt3', 'Cnumber': 3, 'abc_quality': 1.026119420484522, 'absD': 11714121147543598080, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -1939872, -1026818584], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 348480, 'degree': 9953280, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4627040667386233330587967721', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 435, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [610462990336, 8857805], 'lmfdb_iso': '348480.qt', 'lmfdb_label': '348480.qt2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -445, -3720], 'min_quad_twist_disc': 264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '10.6.0.a.1', '24.24.0-6.a.1.7', '30.24.0.a.1', '44.6.0.b.1', '120.48.0.?', '132.24.0.?', '220.12.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.13682763553876212414917559677', 'prec': 103}, 'szpiro_ratio': 4.31365494717963, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, 1, 4, 0, -4, 0, -4, 6, 6, 8, -2, 6, 8, -6, -6, -12, 2, 10, 12, 16, -8, 0, -6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 348480, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '348480.qt', 'trace_hash': 2201901514914465430}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0072597627228885523324779479140', 'prec': 110}, 'conductor': 348480, 'gens': [], 'heights': [], 'lmfdb_label': '348480.qt2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12803771169074257227286550599', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6093576208667326018231582157598777832', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1606, 0, 1]], 'xcoord_integral_points': [1606]}
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lmfdb_label 348480.qt2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 14557806
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '348480.qt2', 'torsion': [2, 2]}
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id: 14557807
{'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '348480.qt2', 'torsion': [6]}
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id: 14557808
{'degree': 4, 'field': [45, 0, -24, 0, 1], 'lmfdb_label': '348480.qt2', 'torsion': [4]}
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id: 14557809
{'degree': 4, 'field': [551, -42, 43, -2, 1], 'lmfdb_label': '348480.qt2', 'torsion': [2, 6]}
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id: 14557810
{'degree': 6, 'field': [-31944, 0, 3388, 0, -22, 0, 1], 'lmfdb_label': '348480.qt2', 'torsion': [6]}
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id: 14557812
{'degree': 8, 'field': [-395, 2500, -1804, -1340, 541, 152, -46, -4, 1], 'lmfdb_label': '348480.qt2', 'torsion': [2, 4]}
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id: 14557813
{'degree': 8, 'field': [2326, 1240, 424, 196, -132, -16, 22, -4, 1], 'lmfdb_label': '348480.qt2', 'torsion': [12]}
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id: 14557811
{'degree': 8, 'field': [303601, 0, 44014, 0, 1631, 0, 74, 0, 1], 'lmfdb_label': '348480.qt2', 'torsion': [2, 4]}
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id: 14557815
{'degree': 12, 'field': [63776196, 0, -15460896, 0, 1464100, 0, -79860, 0, 2420, 0, -66, 0, 1], 'lmfdb_label': '348480.qt2', 'torsion': [2, 6]}
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id: 14557814
{'degree': 12, 'field': [117161383, -32718426, 36414617, -7613790, 4367868, -694170, 266797, -31158, 8808, -690, 149, -6, 1], 'lmfdb_label': '348480.qt2', 'torsion': [3, 6]}
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id: 14557817
{'degree': 16, 'field': [1489921, 2252300, 797888, -1299156, 19153702, -7730096, 6141456, -1632988, 540095, -185888, 19888, -6828, 1382, -76, 48, -8, 1], 'lmfdb_label': '348480.qt2', 'torsion': [2, 12]}
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id: 14557816
{'degree': 16, 'field': [2735716, 0, -8103904, 0, 4904808, 0, -1220176, 0, 155952, 0, -10576, 0, 428, 0, -24, 0, 1], 'lmfdb_label': '348480.qt2', 'torsion': [8]}
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id: 14557818
{'degree': 16, 'field': [3703129, -3509620, 5984850, -5656904, 4707486, -2580828, 1433854, -554924, 224139, -67000, 23938, -6372, 1608, -280, 60, -8, 1], 'lmfdb_label': '348480.qt2', 'torsion': [2, 12]}
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id: 14557819
{'degree': 18, 'field': [3594969521, -1762901514, 2422001043, -248135074, 422674857, 105285642, 43967452, 22623282, 5168256, 1612644, 418587, 46596, 1223, 5082, 1863, -22, -6, 0, 1], 'lmfdb_label': '348480.qt2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 8629589
{'conductor': 348480, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '348480.qt2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8629590
{'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '348480.qt2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8629591
{'conductor': 348480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '348480.qt2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 8629592
{'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '348480.qt2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 3840841
{'adelic_gens': [[659, 0, 0, 1319], [11, 2, 1270, 1311], [1309, 1318, 710, 669], [1, 0, 12, 1], [1041, 1262, 694, 919], [1, 6, 6, 37], [221, 12, 220, 1], [1, 12, 0, 1], [671, 1308, 672, 1307], [1309, 12, 1308, 13], [541, 12, 606, 73], [10, 3, 501, 652]], 'adelic_image': '1320.96.1.?', 'conductor': 348480, 'lmfdb_label': '348480.qt2', 'prime': 0}
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id: 1207122
{'conductor': 348480, 'elladic_image': '2.3.0.1', 'lmfdb_label': '348480.qt2', 'modell_image': '2B', 'prime': 2}
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id: 1207123
{'conductor': 348480, 'elladic_image': '3.4.0.1', 'lmfdb_label': '348480.qt2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 348480.qt does not appear in ec_padic