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ec_curvedata • Show schema
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{'Ciso': '576i', 'Clabel': '576i4', 'Cnumber': 4, 'abc_quality': 1.0561716345991692, 'absD': 143327232, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 48, 'ainvs': [0, 0, 0, -2316, 42896], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 576, 'degree': 256, 'elladic_images': ['16.96.0.224'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59710103881414288245584406309', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [28756228, 3], 'lmfdb_iso': '576.b', 'lmfdb_label': '576.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, 220], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.2.8', '12.12.0.h.1', '16.96.0-16.bb.2.8', '24.96.0-24.bn.1.8', '48.192.1-48.em.1.7'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53963693233858955721845168329', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87640134626650570913142138398', 'prec': 107}, 'szpiro_ratio': 5.483921199815882, '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, -2, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -2, 0, -4, 2, -2, -4, -8, 6, -8, -6, 6, 4, 0, -2, -4, 2, -4, 8, 10, 8, 4, 6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 576, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '576.b', 'trace_hash': 246910301975607220}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.30294558482761990671354111119', 'prec': 103}, 'conductor': 576, 'gens': [[26, 16, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.53963693233858955721845168329', 'prec': 103}], 'lmfdb_label': '576.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.7607876529005999591360601728', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9003720950218899493176796282585480483', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[28, 0, 1]], 'xcoord_integral_points': [10, 26, 28, 29, 64]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '576.b2'}
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ec_torsion_growth • Show schema
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id: 26498
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [8]}
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id: 26497
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [2, 2]}
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id: 26499
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [4]}
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id: 26500
{'degree': 4, 'field': [1, 0, -4, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [2, 8]}
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id: 26504
{'degree': 8, 'field': [-3, 0, 6, 0, 18, 0, 4, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [6]}
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id: 26502
{'degree': 8, 'field': [1, 0, 4, 0, 3, 0, -2, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [8]}
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id: 26503
{'degree': 8, 'field': [9, 0, -36, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [2, 16]}
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id: 26501
{'degree': 8, 'field': [9, 0, -6, 0, 4, -4, 6, -4, 1], 'lmfdb_label': '576.b2', 'torsion': [2, 4]}
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id: 26505
{'degree': 16, 'field': [1, -12, 68, -232, 488, -564, 194, 396, -665, 444, -62, -152, 162, -92, 34, -8, 1], 'lmfdb_label': '576.b2', 'torsion': [4, 8]}
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id: 26507
{'degree': 16, 'field': [1, 0, -12, 0, 60, 0, -144, 0, 191, 0, -144, 0, 60, 0, -12, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [2, 16]}
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id: 26508
{'degree': 16, 'field': [1, 0, 8, 0, 4, 0, -8, 0, -58, 0, -8, 0, 4, 0, 8, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [2, 6]}
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id: 26510
{'degree': 16, 'field': [4, 0, -64, 0, -20, 0, -64, 0, -56, 0, -4, 0, 16, 0, -4, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [12]}
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id: 26509
{'degree': 16, 'field': [9, 0, 18, 0, 36, 0, -18, 0, -90, 0, -90, 0, -20, 0, 2, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [24]}
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id: 26506
{'degree': 16, 'field': [49, 168, 340, 504, 556, 432, 316, 288, 214, 72, -20, -24, 4, 0, 4, 0, 1], 'lmfdb_label': '576.b2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 6786
{'conductor': 576, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '576.b2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6787
{'conductor': 576, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '576.b2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1668441
{'adelic_gens': [[1, 0, 16, 1], [16, 43, 45, 14], [1, 16, 0, 1], [38, 29, 1, 18], [35, 32, 36, 23], [15, 2, 46, 35], [5, 4, 44, 45], [33, 16, 32, 17]], 'adelic_image': '48.192.1.?', 'conductor': 576, 'lmfdb_label': '576.b2', 'prime': 0}
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id: 2592
{'conductor': 576, 'elladic_image': '16.96.0.224', 'lmfdb_label': '576.b2', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 9562
{'lmfdb_iso': '576.b', 'p': 5, 'prec': 20, 'unit': 10542698714114, 'val': 1}
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id: 9570
{'lmfdb_iso': '576.b', 'p': 11, 'prec': 20, 'unit': 31842517841390319583, 'val': 1}
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id: 9568
{'lmfdb_iso': '576.b', 'p': 13, 'prec': 20, 'unit': 183667718684006272037, 'val': 1}
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id: 9571
{'lmfdb_iso': '576.b', 'p': 17, 'prec': 20, 'unit': 213950345916574910151710, 'val': 1}
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id: 9572
{'lmfdb_iso': '576.b', 'p': 19, 'prec': 20, 'unit': 499724866872652965270307, 'val': 1}
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id: 9575
{'lmfdb_iso': '576.b', 'p': 23, 'prec': 20, 'unit': 32995776291055973782757187, 'val': 1}
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id: 9567
{'lmfdb_iso': '576.b', 'p': 29, 'prec': 20, 'unit': 159883943262457301910556216, 'val': 2}
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id: 9564
{'lmfdb_iso': '576.b', 'p': 31, 'prec': 20, 'unit': 1409132552993754828540785647, 'val': 1}
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id: 9579
{'lmfdb_iso': '576.b', 'p': 37, 'prec': 20, 'unit': 583395209402194151377853297454, 'val': 1}
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id: 9565
{'lmfdb_iso': '576.b', 'p': 41, 'prec': 20, 'unit': 1927748514627130193429260704653, 'val': 1}
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id: 9566
{'lmfdb_iso': '576.b', 'p': 43, 'prec': 20, 'unit': 5400459973656370117361026777251, 'val': 1}
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id: 9573
{'lmfdb_iso': '576.b', 'p': 53, 'prec': 20, 'unit': 476225615237524545775669322945221, 'val': 1}
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id: 9577
{'lmfdb_iso': '576.b', 'p': 59, 'prec': 20, 'unit': 3208262299625469335250337145876326, 'val': 1}
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id: 9578
{'lmfdb_iso': '576.b', 'p': 61, 'prec': 20, 'unit': 7750631779439206118159208482114411, 'val': 1}
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id: 9561
{'lmfdb_iso': '576.b', 'p': 67, 'prec': 20, 'unit': 11047531614461677099018552670149522, 'val': 1}
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id: 9563
{'lmfdb_iso': '576.b', 'p': 71, 'prec': 20, 'unit': 124311724576944026578171839696135051, 'val': 1}
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id: 9574
{'lmfdb_iso': '576.b', 'p': 73, 'prec': 20, 'unit': 153015994208159318413864346980701830, 'val': 1}
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id: 9569
{'lmfdb_iso': '576.b', 'p': 79, 'prec': 20, 'unit': 761562690315587018654206505469983113, 'val': 1}
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id: 9560
{'lmfdb_iso': '576.b', 'p': 83, 'prec': 20, 'unit': 631902462209317387231719797829279821, 'val': 1}
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id: 9576
{'lmfdb_iso': '576.b', 'p': 89, 'prec': 20, 'unit': 802245759065380484337999208369137134, 'val': 1}
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id: 9559
{'lmfdb_iso': '576.b', 'p': 97, 'prec': 20, 'unit': 36043110060950567636281925474910168504, 'val': 1}