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ec_curvedata • Show schema
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{'Ciso': '24150d', 'Clabel': '24150d3', 'Cnumber': 3, 'abc_quality': 1.0469263838669378, 'absD': 766521000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 19320, 'ainvs': [1, 1, 0, -6237964400, -189634959840000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 24150, 'degree': 11943936, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8673037619472210667561048683', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [1718036403880129446396978632449, 49057344000000], 'lmfdb_iso': '24150.e', 'lmfdb_label': '24150.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -249518576, -1517079678720], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '15.8.0-3.a.1.1', '24.48.0.bs.2', '30.24.0-6.a.1.1', '40.12.0-4.c.1.4', '56.12.0.bb.1', '60.48.0-12.g.1.5', '84.48.0.?', '120.96.0.?', '140.12.0.?', '168.96.1.?', '184.12.0.?', '276.48.0.?', '280.24.0.?', '322.6.0.?', '420.96.0.?', '460.12.0.?', '552.96.1.?', '644.12.0.?', '840.192.1.?', '920.24.0.?', '966.24.0.?', '1288.24.0.?', '1380.96.0.?', '1932.96.1.?', '2760.192.1.?', '3220.24.0.?', '3864.192.5.?', '4830.48.0.?', '6440.48.0.?', '9660.192.1.?', '19320.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0625848057301708794557252017', 'prec': 100}, 'szpiro_ratio': 7.8552368951620295, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 0, -1, -2, 1, 0, 1, -6, -1, -4, 0], 'aplist': [-1, -1, 0, -1, 0, -2, -6, -4, 1, 6, -4, -2, -6, -8, -12, 6, -12, 2, -8, 0, -2, 8, -12, 6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 24150, 'isogeny_matrix': [[1, 2, 4, 4, 3, 6, 12, 12], [2, 1, 2, 2, 6, 3, 6, 6], [4, 2, 1, 4, 12, 6, 3, 12], [4, 2, 4, 1, 12, 6, 12, 3], [3, 6, 12, 12, 1, 2, 4, 4], [6, 3, 6, 6, 2, 1, 2, 2], [12, 6, 3, 12, 4, 2, 1, 4], [12, 6, 12, 3, 4, 2, 4, 1]], 'lmfdb_iso': '24150.e', 'trace_hash': 196610578128393235}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00043742402521659816187267998313', 'prec': 113}, 'conductor': 24150, 'gens': [], 'heights': [], 'lmfdb_label': '24150.e3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.016987866198162757470424026319', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.20385439437795308964508831583082961615', 'prec': 133}, 'tamagawa_product': 48, 'torsion_generators': [[-45600, 22800, 1]], 'xcoord_integral_points': [-45600]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '3': [0, 1], '5': 'a', '7': [0, 0], '23': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '24150.e3'}
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ec_torsion_growth • Show schema
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id: 1218917
{'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '24150.e3', 'torsion': [2, 2]}
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id: 1218920
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '24150.e3', 'torsion': [6]}
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id: 1218918
{'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '24150.e3', 'torsion': [4]}
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id: 1218919
{'degree': 2, 'field': [29, -1, 1], 'lmfdb_label': '24150.e3', 'torsion': [4]}
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id: 1218923
{'degree': 4, 'field': [15, -15, 4, -1, 1], 'lmfdb_label': '24150.e3', 'torsion': [12]}
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id: 1218924
{'degree': 4, 'field': [139, -47, 8, -1, 1], 'lmfdb_label': '24150.e3', 'torsion': [12]}
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id: 1218921
{'degree': 4, 'field': [340, -100, -1, -1, 1], 'lmfdb_label': '24150.e3', 'torsion': [2, 4]}
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id: 1218922
{'degree': 4, 'field': [1936, 0, -73, 0, 1], 'lmfdb_label': '24150.e3', 'torsion': [2, 6]}
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id: 1218925
{'degree': 6, 'field': [4220, -570, 189, -121, 0, -3, 1], 'lmfdb_label': '24150.e3', 'torsion': [6]}
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id: 1218929
{'degree': 8, 'field': [4096, 0, 960, 0, 788, 0, 15, 0, 1], 'lmfdb_label': '24150.e3', 'torsion': [2, 12]}
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id: 1218927
{'degree': 8, 'field': [8271, -2124, 2360, -456, 189, 44, -10, -4, 1], 'lmfdb_label': '24150.e3', 'torsion': [8]}
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id: 1218928
{'degree': 8, 'field': [135436, -38624, 48890, -20336, 9679, 584, -190, -4, 1], 'lmfdb_label': '24150.e3', 'torsion': [8]}
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id: 1218926
{'degree': 8, 'field': [6898900, -3177200, 213725, 5430, 56, 1122, -76, -2, 1], 'lmfdb_label': '24150.e3', 'torsion': [2, 4]}
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id: 1218932
{'degree': 12, 'field': [5104, -4152, 6624, -5050, 2805, -372, 167, -6, -30, 10, 9, -6, 1], 'lmfdb_label': '24150.e3', 'torsion': [12]}
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id: 1218930
{'degree': 12, 'field': [24256, 23376, 828, -326, -237, -1005, 875, -192, -48, -10, 9, -3, 1], 'lmfdb_label': '24150.e3', 'torsion': [3, 6]}
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id: 1218931
{'degree': 12, 'field': [9588580, 14266230, -5240079, 4341278, -197031, -452208, 159557, -7188, 3561, -788, 9, -6, 1], 'lmfdb_label': '24150.e3', 'torsion': [2, 6]}
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id: 1218933
{'degree': 12, 'field': [13513024, 13187664, 6863724, -425250, -302379, 117558, 27189, 0, 390, -252, 27, 0, 1], 'lmfdb_label': '24150.e3', 'torsion': [12]}
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id: 1218935
{'degree': 16, 'field': [3444736, 0, -209920, 0, 3047488, 0, -593280, 0, 141888, 0, -20400, 0, 1648, 0, 80, 0, 1], 'lmfdb_label': '24150.e3', 'torsion': [2, 8]}
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id: 1218938
{'degree': 16, 'field': [435598641, 0, -115658928, 0, 23589990, 0, -2070348, 0, 191719, 0, -5012, 0, 750, 0, 28, 0, 1], 'lmfdb_label': '24150.e3', 'torsion': [24]}
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id: 1218939
{'degree': 16, 'field': [8268105025, 2154683800, -1696583680, -858337680, 289164454, 155213840, -31114236, -16309688, 2418759, 1027360, -128868, -39496, 4702, 840, -100, -8, 1], 'lmfdb_label': '24150.e3', 'torsion': [24]}
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id: 1218937
{'degree': 16, 'field': [9845226000, -1978668000, -783394200, -1017597600, 798033105, -141800130, -11261694, 5400930, -440546, 68692, -7042, -6698, 1654, -70, 2, -4, 1], 'lmfdb_label': '24150.e3', 'torsion': [2, 12]}
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id: 1218936
{'degree': 16, 'field': [981098174016, 0, -173719429920, 0, 16545611412, 0, -636322068, 0, 25588789, 0, -641538, 0, 12119, 0, -162, 0, 1], 'lmfdb_label': '24150.e3', 'torsion': [2, 8]}
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id: 1218934
{'degree': 16, 'field': [1509273675625, 833001376250, 229875901250, 69046820000, 15747704925, 2224834100, 408808350, 54069950, 22876, 485722, 112542, -19676, -1251, 376, 2, -2, 1], 'lmfdb_label': '24150.e3', 'torsion': [4, 4]}
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id: 1218940
{'degree': 18, 'field': [181337768275176, 158424421966596, 101002932492696, 45733146271941, 11482860307005, 851677818711, -184408309064, -30412817934, 770852061, 32620495, 44372646, 21951216, 1840671, 128196, 52710, -1484, 426, -9, 1], 'lmfdb_label': '24150.e3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 553224
{'conductor': 24150, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '24150.e3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 553225
{'conductor': 24150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '24150.e3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 553226
{'conductor': 24150, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '24150.e3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 553227
{'conductor': 24150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '24150.e3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 553228
{'conductor': 24150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '24150.e3', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1825385
{'adelic_gens': [[1, 12, 12, 145], [5961, 2740, 8900, 17261], [16101, 9020, 20, 9741], [19297, 24, 19296, 25], [1, 24, 0, 1], [5536, 11595, 11685, 11506], [18361, 15480, 10530, 18991], [3863, 0, 0, 19319], [15, 106, 18014, 10091], [10936, 3885, 16515, 18946], [1, 0, 24, 1]], 'adelic_image': '19320.384.5.?', 'conductor': 24150, 'lmfdb_label': '24150.e3', 'prime': 0}
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id: 110684
{'conductor': 24150, 'elladic_image': '4.6.0.1', 'lmfdb_label': '24150.e3', 'modell_image': '2B', 'prime': 2}
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id: 110685
{'conductor': 24150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '24150.e3', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 24150.e does not appear in ec_padic