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ec_curvedata • Show schema
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{'Ciso': '308550ee', 'Clabel': '308550ee1', 'Cnumber': 1, 'abc_quality': 0.9722179649532429, 'absD': 92314757390630156250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 22440, 'ainvs': [1, 0, 1, -158442001, 767480512148], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 308550, 'degree': 53084160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4026487429592151801811029662', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 108, 'isogeny_degrees': [1, 2, 4], 'jinv': [15891267085572193561, 3334993530000], 'lmfdb_iso': '308550.ee', 'lmfdb_label': '308550.ee3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -52377, -4634859], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '66.6.0.a.1', '132.12.0.?', '408.12.0.?', '660.24.0.?', '1496.12.0.?', '2040.24.0.?', '4488.24.0.?', '7480.24.0.?', '22440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.0663045828618115957942258253', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3989821503429797208497515106', 'prec': 100}, 'szpiro_ratio': 5.400177925290967, '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, 0, -1, 1, 0, 0, 1, 2, 0, 0, 1, -1, -1, -4, 0], 'aplist': [-1, 1, 0, 0, 0, 2, -1, -4, 4, 6, -8, -6, 10, 4, 0, -2, 0, 10, 4, -4, 6, 8, 4, 2, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 308550, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '308550.ee', 'trace_hash': 2049925030631419935}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0011078905402575259708466908261', 'prec': 110}, 'conductor': 308550, 'gens': [[4398688, 3414534508, 27]], 'heights': [{'__RealLiteral__': 0, 'data': '9.0663045828618115957942258253', 'prec': 100}], 'lmfdb_label': '308550.ee3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10414043822062790479029000148', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5533514584073290989351624919980653894', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[7347, -3674, 1]], 'xcoord_integral_points': [7347]}
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lmfdb_label 308550.ee3 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13025404
{'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '308550.ee3', 'torsion': [4]}
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id: 13025403
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '308550.ee3', 'torsion': [2, 2]}
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id: 13025405
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '308550.ee3', 'torsion': [4]}
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id: 13025406
{'degree': 4, 'field': [49, 0, -19, 0, 1], 'lmfdb_label': '308550.ee3', 'torsion': [2, 4]}
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id: 13025410
{'degree': 8, 'field': [-40151306, -9990425, 115312, 158309, 3965, -1219, -35, -2, 1], 'lmfdb_label': '308550.ee3', 'torsion': [6]}
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id: 13025408
{'degree': 8, 'field': [64, -320, -65624, -3224, 6505, 202, -161, -2, 1], 'lmfdb_label': '308550.ee3', 'torsion': [8]}
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id: 13025407
{'degree': 8, 'field': [5844, -228, -1062, 594, 49, -22, 12, -4, 1], 'lmfdb_label': '308550.ee3', 'torsion': [2, 4]}
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id: 13025409
{'degree': 8, 'field': [1476225, 0, -145610, 0, 6399, 0, -126, 0, 1], 'lmfdb_label': '308550.ee3', 'torsion': [8]}
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id: 13025411
{'degree': 16, 'field': [4761, 0, 20340, 0, 25410, 0, 5268, 0, -1277, 0, -20, 0, 66, 0, -8, 0, 1], 'lmfdb_label': '308550.ee3', 'torsion': [4, 4]}
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id: 13025414
{'degree': 16, 'field': [156816, 0, 1990791, 0, 2697282, 0, -26299647, 0, 1764675, 0, -35643, 0, 1287, 0, -66, 0, 1], 'lmfdb_label': '308550.ee3', 'torsion': [2, 6]}
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id: 13025416
{'degree': 16, 'field': [40602384, 0, -6687117, 0, -12837690, 0, 2395341, 0, 1238535, 0, -329031, 0, 223, 0, -10, 0, 1], 'lmfdb_label': '308550.ee3', 'torsion': [12]}
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id: 13025412
{'degree': 16, 'field': [233967616, 214388736, -478792192, -331292160, 307095040, 156320832, -78500200, -27945576, 9635257, 2169606, -585115, -74022, 16468, 1110, -211, -6, 1], 'lmfdb_label': '308550.ee3', 'torsion': [2, 8]}
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id: 13025413
{'degree': 16, 'field': [1885892170671, -1196849666988, 843486814170, -290186473944, 94919264110, -20930146464, 5120681010, -751253108, 161212055, -15575000, 3191162, -192452, 40008, -1332, 296, -4, 1], 'lmfdb_label': '308550.ee3', 'torsion': [2, 8]}
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id: 13025415
{'degree': 16, 'field': [20121003120601, 3462976076528, -3223322021032, -470243031304, 212668268082, 26360680856, -7824575672, -805538864, 177506967, 15526144, -2716744, -206992, 30434, 1848, -244, -8, 1], 'lmfdb_label': '308550.ee3', 'torsion': [12]}
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ec_localdata • Show schema
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id: 7641422
{'conductor': 308550, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '308550.ee3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 7641423
{'conductor': 308550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '308550.ee3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 7641424
{'conductor': 308550, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '308550.ee3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 7641425
{'conductor': 308550, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '308550.ee3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7641426
{'conductor': 308550, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '308550.ee3', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3601900
{'adelic_gens': [[14521, 17960, 22180, 4521], [22433, 8, 22432, 9], [18521, 9540, 14030, 16271], [1, 0, 8, 1], [2996, 13465, 10495, 6], [1, 8, 0, 1], [5704, 4485, 20395, 8974], [13463, 0, 0, 22439], [1, 4, 4, 17], [7, 6, 22434, 22435], [1691, 15150, 2810, 5051]], 'adelic_image': '22440.48.0.?', 'conductor': 308550, 'lmfdb_label': '308550.ee3', 'prime': 0}
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id: 1084231
{'conductor': 308550, 'elladic_image': '4.6.0.1', 'lmfdb_label': '308550.ee3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 308550.ee does not appear in ec_padic