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ec_curvedata • Show schema
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{'Ciso': '24255bi', 'Clabel': '24255bi1', 'Cnumber': 1, 'abc_quality': 0.8974073483939803, 'absD': 66865412084625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -89753, 10364456], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 24255, 'degree': 110592, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5807105967444523143535188759', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [932288503609, 779625], 'lmfdb_iso': '24255.l', 'lmfdb_label': '24255.l3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -203, 1032], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '56.12.0-4.c.1.5', '120.12.0.?', '132.12.0.?', '420.12.0.?', '440.12.0.?', '770.6.0.?', '840.24.0.?', '1320.24.0.?', '1540.12.0.?', '1848.24.0.?', '3080.24.0.?', '4620.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.058449377882740816103219885716', 'prec': 107}, 'szpiro_ratio': 4.539057720290628, '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, 0, 3, 0, 1, 1, 0, 2, 0, 0, -1, 6, 0, -4, 1], 'aplist': [-1, 0, -1, 0, 1, 2, 6, -4, 4, -10, 4, -2, 10, 12, 0, -10, -12, 2, 4, -8, 14, 4, 8, 6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 24255, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '24255.l', 'trace_hash': 2274981356543753868}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.042365488718799320366221993588', 'prec': 107}, 'conductor': 24255, 'gens': [], 'heights': [], 'lmfdb_label': '24255.l3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.61434555525854867584309899954', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2286911105170973516861979990713108574', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[177, -89, 1]], 'xcoord_integral_points': [177]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': 'a', '5': [0, 0], '7': 'a', '11': [3, 0]}, 'iwp0': 3, 'lmfdb_label': '24255.l3'}
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ec_torsion_growth • Show schema
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id: 1224548
{'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '24255.l3', 'torsion': [2, 2]}
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id: 1224549
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '24255.l3', 'torsion': [4]}
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id: 1224550
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '24255.l3', 'torsion': [4]}
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id: 1224551
{'degree': 4, 'field': [144, 177, -65, -1, 1], 'lmfdb_label': '24255.l3', 'torsion': [2, 4]}
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id: 1224555
{'degree': 8, 'field': [-17981, -4876, 4396, 959, -476, -7, 7, -4, 1], 'lmfdb_label': '24255.l3', 'torsion': [6]}
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id: 1224553
{'degree': 8, 'field': [441, -294, -980, 14, 449, 74, -40, -4, 1], 'lmfdb_label': '24255.l3', 'torsion': [8]}
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id: 1224554
{'degree': 8, 'field': [13171, 7333, 8409, -7058, 1622, 38, -41, -3, 1], 'lmfdb_label': '24255.l3', 'torsion': [8]}
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id: 1224552
{'degree': 8, 'field': [1299456, 315072, -19790, 382, 3189, 188, -60, -2, 1], 'lmfdb_label': '24255.l3', 'torsion': [2, 4]}
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id: 1224560
{'degree': 16, 'field': [-862390595, 384815530, -176564841, -23721446, -26567852, 1914345, 3622165, 977026, 155757, -48089, -45749, -1287, 2239, 133, -60, -2, 1], 'lmfdb_label': '24255.l3', 'torsion': [12]}
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id: 1224557
{'degree': 16, 'field': [576, 0, -138144, 0, 443617, 0, -379872, 0, 142380, 0, -26378, 0, 2412, 0, -96, 0, 1], 'lmfdb_label': '24255.l3', 'torsion': [2, 8]}
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id: 1224561
{'degree': 16, 'field': [493707, 19723992, 10404378, 4534887, -1937964, -354123, -579761, 59522, -37224, 8242, -3640, 1323, 224, 49, -9, -4, 1], 'lmfdb_label': '24255.l3', 'torsion': [12]}
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id: 1224558
{'degree': 16, 'field': [8403264, -30012768, 53810460, -57643758, 40004415, -18205155, 5075484, -397365, 106270, -51707, 550, 3385, 906, -85, -20, -1, 1], 'lmfdb_label': '24255.l3', 'torsion': [2, 8]}
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id: 1224559
{'degree': 16, 'field': [171479025, 0, -960802965, 0, 570633156, 0, -99300330, 0, -35370, 0, 950343, 0, -1620, 0, 0, 0, 1], 'lmfdb_label': '24255.l3', 'torsion': [2, 6]}
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id: 1224556
{'degree': 16, 'field': [635846656, 0, 368907776, 0, 95029700, 0, 7415904, 0, -142951, 0, -24096, 0, 2210, 0, -64, 0, 1], 'lmfdb_label': '24255.l3', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 556231
{'conductor': 24255, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '24255.l3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 556232
{'conductor': 24255, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '24255.l3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 556233
{'conductor': 24255, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '24255.l3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 556234
{'conductor': 24255, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '24255.l3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1826074
{'adelic_gens': [[1688, 3, 3365, 2], [9233, 8, 9232, 9], [3952, 9237, 1315, 9238], [1, 8, 0, 1], [5779, 5778, 8098, 3475], [1, 0, 8, 1], [3079, 9232, 3076, 9207], [5548, 1, 1871, 6], [1, 4, 4, 17], [3473, 3468, 3470, 8087], [7, 6, 9234, 9235]], 'adelic_image': '9240.48.0.?', 'conductor': 24255, 'lmfdb_label': '24255.l3', 'prime': 0}
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id: 111072
{'conductor': 24255, 'elladic_image': '4.6.0.1', 'lmfdb_label': '24255.l3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 24255.l does not appear in ec_padic