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ec_curvedata • Show schema
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{'Ciso': '5610t', 'Clabel': '5610t5', 'Cnumber': 5, 'abc_quality': 1.0086073801975677, 'absD': 5862293314453125000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 0, 1, -1627388, 790397138], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 5610, 'degree': 221184, 'elladic_images': ['4.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4114813045780072331167963565', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [476646772170172569823801, 5862293314453125000], 'lmfdb_iso': '5610.q', 'lmfdb_label': '5610.q5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1627388, 790397138], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '4.6.0.c.1', '6.24.0-6.a.1.4', '12.48.0-12.g.1.12', '24.96.0-24.bu.2.26', '44.12.0-4.c.1.1', '132.96.0.?', '264.192.1.?', '680.12.0.?', '2040.192.1.?', '7480.24.0.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4114813045780072331167963565', 'prec': 100}, 'szpiro_ratio': 6.3159325745927015, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 1, -1, -4, -1, 1, -1, 1, 1, 2, 4, 1, 1, -1, -1, -4, 1], 'aplist': [-1, 1, 1, -4, 1, 2, -1, -4, 0, -6, 8, -10, 6, -4, 12, 6, 12, 2, 8, -12, 2, 8, -12, -6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 5610, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '5610.q', 'trace_hash': 862212701844303008}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0080429237680366729058165624149', 'prec': 110}, 'conductor': 5610, 'gens': [], 'heights': [], 'lmfdb_label': '5610.q5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24050500889864283326946327256', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4430300533918569996167796353867365261', 'prec': 130}, 'tamagawa_product': 216, 'torsion_generators': [[2604, 117910, 1]], 'xcoord_integral_points': [954, 2604]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [5, 0], '3': [3, 0], '5': [1, 0], '11': [3, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '5610.q5'}
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ec_torsion_growth • Show schema
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id: 292262
{'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [2, 6]}
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id: 292264
{'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [12]}
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id: 292263
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [12]}
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id: 292265
{'degree': 4, 'field': [25, 0, -34, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [2, 12]}
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id: 292266
{'degree': 6, 'field': [12, 0, -11, 0, 1, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [3, 6]}
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id: 292267
{'degree': 8, 'field': [3975, -2220, 2142, 144, -41, -40, 18, -4, 1], 'lmfdb_label': '5610.q5', 'torsion': [2, 12]}
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id: 292269
{'degree': 8, 'field': [18804960, -2102760, -334251, 36432, 7949, -1144, -31, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [24]}
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id: 292268
{'degree': 8, 'field': [20738916, 0, -1962576, 0, 53076, 0, -456, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [24]}
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id: 292270
{'degree': 9, 'field': [57930120, 558900, 479790, -444153, -65952, 10881, 761, -168, -3, 1], 'lmfdb_label': '5610.q5', 'torsion': [18]}
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id: 292272
{'degree': 12, 'field': [900, 0, 2292, 0, 493, 0, 362, 0, 51, 0, 14, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [3, 12]}
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id: 292273
{'degree': 12, 'field': [1803649, 0, -1131724, 0, 256632, 0, -27146, 0, 1728, 0, -64, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [3, 12]}
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id: 292271
{'degree': 12, 'field': [98208100, 0, 30682652, 0, 3572373, 0, 216922, 0, 7371, 0, 134, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [6, 6]}
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id: 292274
{'degree': 16, 'field': [15800625, 0, -12100500, 0, 4901574, 0, 230880, 0, 80503, 0, -2360, 0, -78, 0, -20, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [4, 12]}
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id: 292276
{'degree': 16, 'field': [162180225, 0, -5954470380, 0, 3700924236, 0, -852631272, 0, 88918479, 0, -4181976, 0, 75804, 0, -492, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [2, 24]}
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id: 292275
{'degree': 16, 'field': [2527540350976, 0, 639292763904, 0, 72901879204, 0, 4787595636, 0, 194663625, 0, 4899936, 0, 70114, 0, 444, 0, 1], 'lmfdb_label': '5610.q5', 'torsion': [2, 24]}
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id: 292277
{'degree': 18, 'field': [-4851882924942600, 824312356614000, 1654868781371700, -568322064177120, -102264488768430, 78184536419700, -10317365662461, -507557938428, 28100565378, 20764446210, 1734948585, -94700448, -12712139, -225186, 30570, 2530, -327, -6, 1], 'lmfdb_label': '5610.q5', 'torsion': [2, 18]}
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id: 292279
{'degree': 18, 'field': [3044064154929185, -1106456308284480, -271226988957525, 39443522828314, 1672606910910, -3807713660436, 27554034827, 138996456762, -2540041344, -2873008510, 203732613, 54407874, -5902721, -601056, 71160, 3058, -426, -6, 1], 'lmfdb_label': '5610.q5', 'torsion': [36]}
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id: 292278
{'degree': 18, 'field': [3415022754455160, -680025504671280, -161329571522820, 10759693389984, -2833369521030, -2167064010756, 152489046537, 100358120772, -3944585304, -2556980490, 179221473, 48255444, -4665761, -528666, 58380, 2818, -381, -6, 1], 'lmfdb_label': '5610.q5', 'torsion': [36]}
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ec_localdata • Show schema
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id: 110118
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '5610.q5', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 110119
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '5610.q5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 110120
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '5610.q5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
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id: 110121
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '5610.q5', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 110122
{'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '5610.q5', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1700605
{'adelic_gens': [[1, 12, 12, 145], [14521, 24, 17172, 289], [16831, 24, 16830, 1], [15, 106, 21134, 13211], [12162, 15919, 7037, 11972], [2056, 3, 9741, 22354], [1, 24, 0, 1], [22417, 24, 22416, 25], [16, 11241, 3455, 7106], [8977, 24, 17964, 289], [1, 0, 24, 1]], 'adelic_image': '22440.384.5.?', 'conductor': 5610, 'lmfdb_label': '5610.q5', 'prime': 0}
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id: 27672
{'conductor': 5610, 'elladic_image': '4.6.0.1', 'lmfdb_label': '5610.q5', 'modell_image': '2B', 'prime': 2}
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id: 27673
{'conductor': 5610, 'elladic_image': '3.8.0.1', 'lmfdb_label': '5610.q5', 'modell_image': '3B.1.1', 'prime': 3}
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lmfdb_iso 5610.q does not appear in ec_padic