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ec_curvedata • Show schema
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{'Ciso': '6552j', 'Clabel': '6552j4', 'Cnumber': 4, 'abc_quality': 1.0137478498120591, 'absD': 7772846057699014656, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -237891, 141376030], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6552, 'degree': 129024, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3089979039402157719020064858', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [-997241325462146, 5206220835543], 'lmfdb_iso': '6552.f', 'lmfdb_label': '6552.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -26432, -5244960], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '56.12.0.v.1', '84.12.0.?', '104.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8444294681309279768884581885', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 6, 104], [7, 8, 936], [13, 14, 504]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1243068440928777259052544227', 'prec': 100}, 'szpiro_ratio': 5.810169468545456, '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, 1, 0, 0, 0, -4, 0, -1, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -2, 1, -4, -1, -6, 4, 8, 6, 8, 2, -2, -4, 12, 6, -12, -6, 0, -16, -2, 0, 4, -2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 6552, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '6552.f', 'trace_hash': 763983179929725468}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0098725627589221700329080807246', 'prec': 110}, 'conductor': 6552, 'gens': [[6, 11830, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8444294681309279768884581885', 'prec': 100}], 'lmfdb_label': '6552.f4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20277974368906148894219042827', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4607560709352184200377491227324804449', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-670, 0, 1]], 'xcoord_integral_points': [-670, 6]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': [2, 0], '11': [1, 0], '13': [5, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6552.f4'}
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ec_torsion_growth • Show schema
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id: 342897
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [4]}
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id: 342896
{'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [2, 2]}
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id: 342898
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [4]}
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id: 342899
{'degree': 4, 'field': [25, 0, 4, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [2, 4]}
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id: 342903
{'degree': 8, 'field': [-48, 0, 0, 0, 24, 0, -4, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [6]}
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id: 342900
{'degree': 8, 'field': [196, 0, 0, 0, 322, 0, 0, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [2, 4]}
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id: 342901
{'degree': 8, 'field': [1587, 3036, -2834, -424, 263, -64, 26, -4, 1], 'lmfdb_label': '6552.f4', 'torsion': [8]}
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id: 342902
{'degree': 8, 'field': [4624, 0, 1165, 0, 159, 0, 19, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [8]}
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id: 342908
{'degree': 16, 'field': [441, 0, -264, 0, -1244, 0, -108, 0, 222, 0, -152, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [12]}
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id: 342905
{'degree': 16, 'field': [234256, 0, 1841136, 0, 9478577, 0, 1559640, 0, 183783, 0, 9840, 0, 647, 0, 24, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [2, 8]}
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id: 342904
{'degree': 16, 'field': [269361, 523152, 508032, 318864, 82786, -42616, -50176, -24864, -3417, 2968, 1568, 448, -10, -56, 0, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [4, 4]}
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id: 342906
{'degree': 16, 'field': [114421113, -40635000, 50132736, -20059704, 12798324, -3628008, 1730656, -471104, 150501, -25432, 8492, -1608, 86, 56, 12, -8, 1], 'lmfdb_label': '6552.f4', 'torsion': [2, 8]}
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id: 342909
{'degree': 16, 'field': [154758073, -58369742, -63361122, 18803440, 15218698, -4606464, -2302556, 688006, 312384, -61370, -28616, 2304, 1702, -20, -54, -2, 1], 'lmfdb_label': '6552.f4', 'torsion': [12]}
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id: 342907
{'degree': 16, 'field': [387420489, 0, 0, 0, 7322076, 0, 694980, 0, 264030, 0, 9720, 0, -48, 0, 20, 0, 1], 'lmfdb_label': '6552.f4', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 132435
{'conductor': 6552, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '6552.f4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 132436
{'conductor': 6552, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '6552.f4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 132437
{'conductor': 6552, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6552.f4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 132438
{'conductor': 6552, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6552.f4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1707153
{'adelic_gens': [[2017, 8, 1516, 33], [2177, 8, 2176, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [727, 2176, 724, 2151], [1368, 281, 811, 798], [7, 6, 2178, 2179], [827, 820, 866, 1917], [1256, 3, 1877, 2]], 'adelic_image': '2184.48.0.?', 'conductor': 6552, 'lmfdb_label': '6552.f4', 'prime': 0}
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id: 32391
{'conductor': 6552, 'elladic_image': '4.6.0.1', 'lmfdb_label': '6552.f4', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 260036
{'lmfdb_iso': '6552.f', 'p': 5, 'prec': 20, 'unit': 137350938168, 'val': 2}
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id: 260035
{'lmfdb_iso': '6552.f', 'p': 11, 'prec': 20, 'unit': 14083675200079622299, 'val': 1}
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id: 260043
{'lmfdb_iso': '6552.f', 'p': 17, 'prec': 20, 'unit': 30802050224875178929340, 'val': 1}
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id: 260033
{'lmfdb_iso': '6552.f', 'p': 19, 'prec': 20, 'unit': 1912895042677318405100024, 'val': 1}
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id: 260047
{'lmfdb_iso': '6552.f', 'p': 23, 'prec': 20, 'unit': 53478056764543533968095411, 'val': 1}
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id: 260041
{'lmfdb_iso': '6552.f', 'p': 29, 'prec': 20, 'unit': 5348740723735673047218551532, 'val': 1}
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id: 260038
{'lmfdb_iso': '6552.f', 'p': 31, 'prec': 20, 'unit': 18378148527027162744100629940, 'val': 1}
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id: 260051
{'lmfdb_iso': '6552.f', 'p': 37, 'prec': 20, 'unit': 399927524806243769594872761612, 'val': 1}
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id: 260039
{'lmfdb_iso': '6552.f', 'p': 41, 'prec': 20, 'unit': 2640613174315764100782573126017, 'val': 1}
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id: 260040
{'lmfdb_iso': '6552.f', 'p': 43, 'prec': 20, 'unit': 2173319171580650535290148015878, 'val': 1}
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id: 260042
{'lmfdb_iso': '6552.f', 'p': 47, 'prec': 20, 'unit': 18332924072024624324694930669439, 'val': 1}
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id: 260045
{'lmfdb_iso': '6552.f', 'p': 53, 'prec': 20, 'unit': 328367194167127257904569039474923, 'val': 1}
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id: 260049
{'lmfdb_iso': '6552.f', 'p': 59, 'prec': 20, 'unit': 2468561383899146017303154697312047, 'val': 1}
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id: 260050
{'lmfdb_iso': '6552.f', 'p': 61, 'prec': 20, 'unit': 27620554532173657424369147221099, 'val': 2}
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id: 260037
{'lmfdb_iso': '6552.f', 'p': 71, 'prec': 20, 'unit': 122061084833398538249425076795673968, 'val': 1}
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id: 260046
{'lmfdb_iso': '6552.f', 'p': 73, 'prec': 20, 'unit': 121546399055193885947003616655989003, 'val': 1}
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id: 260044
{'lmfdb_iso': '6552.f', 'p': 83, 'prec': 20, 'unit': 671621929326590923411017446617034867, 'val': 1}
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id: 260048
{'lmfdb_iso': '6552.f', 'p': 89, 'prec': 20, 'unit': 5923229567066957719146257665926853074, 'val': 1}
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id: 260034
{'lmfdb_iso': '6552.f', 'p': 97, 'prec': 20, 'unit': 34864313624173755063441107038128400520, 'val': 1}