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ec_curvedata • Show schema
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{'Ciso': '97461k', 'Clabel': '97461k3', 'Cnumber': 3, 'abc_quality': 0.9096577979438815, 'absD': 8098699370512778937, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 37128, 'ainvs': [1, -1, 0, -644751, -241612470], 'analytic_rank': 0, 'bad_primes': [3, 7, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 97461, 'degree': 1966080, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3442039029366239503200345787', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 4], 'jinv': [-345608484635233, 94427721297], 'lmfdb_iso': '97461.v', 'lmfdb_label': '97461.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1462, -26716], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '68.12.0.h.1', '84.12.0.?', '104.12.0.?', '1428.24.0.?', '1768.24.0.?', '2184.24.0.?', '37128.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.82194268407491245206973558852', 'prec': 103}, 'szpiro_ratio': 4.538106435737174, '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, 2, 0, 0, -3, 0, 2, -4, 0, -1, 0, 0, -1, 1, 0, -4, -2], 'aplist': [1, 0, 2, 0, -4, -1, 1, -4, 8, 6, 8, 2, 6, -4, -12, -6, 0, 14, 8, 8, -2, 8, 0, -14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 97461, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '97461.v', 'trace_hash': 676201408834028257}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0092013247946715064174607325099', 'prec': 110}, 'conductor': 97461, 'gens': [], 'heights': [], 'lmfdb_label': '97461.v3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.083059103998112178634284145891', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6578913279395897162970926685009302703', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[3795, -3795, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [7, 2], '3': 'a', '7': 'a', '13': [0, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '97461.v3'}
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ec_torsion_growth • Show schema
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id: 4536847
{'degree': 2, 'field': [-89, -1, 1], 'lmfdb_label': '97461.v3', 'torsion': [4]}
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id: 4536846
{'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '97461.v3', 'torsion': [2, 2]}
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id: 4536848
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '97461.v3', 'torsion': [4]}
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id: 4536849
{'degree': 4, 'field': [1, 0, 19, 0, 1], 'lmfdb_label': '97461.v3', 'torsion': [2, 4]}
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id: 4536853
{'degree': 8, 'field': [-120977, -77155, 205300, 37354, 9626, 550, 205, -1, 1], 'lmfdb_label': '97461.v3', 'torsion': [6]}
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id: 4536852
{'degree': 8, 'field': [484, 0, 20316, 0, -1915, 0, 30, 0, 1], 'lmfdb_label': '97461.v3', 'torsion': [8]}
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id: 4536850
{'degree': 8, 'field': [2121, -588, 772, -348, 125, 56, -14, -4, 1], 'lmfdb_label': '97461.v3', 'torsion': [2, 4]}
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id: 4536851
{'degree': 8, 'field': [194481, 0, -44541, 0, 2272, 0, -101, 0, 1], 'lmfdb_label': '97461.v3', 'torsion': [8]}
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id: 4536859
{'degree': 16, 'field': [1225449, 0, -412683, 0, 324844, 0, 279021, 0, 62829, 0, 7975, 0, 771, 0, 42, 0, 1], 'lmfdb_label': '97461.v3', 'torsion': [12]}
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id: 4536854
{'degree': 16, 'field': [4498641, 0, -2929080, 0, 716986, 0, -78364, 0, 32523, 0, 7876, 0, 894, 0, 44, 0, 1], 'lmfdb_label': '97461.v3', 'torsion': [4, 4]}
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id: 4536856
{'degree': 16, 'field': [470890000, 0, -51590000, 0, 23249228, 0, -1509300, 0, 372977, 0, -14760, 0, 1958, 0, -68, 0, 1], 'lmfdb_label': '97461.v3', 'torsion': [2, 8]}
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id: 4536855
{'degree': 16, 'field': [42410740752, -24151595904, 11704666464, -2672745984, 1431201372, -444685728, 104949160, -2807040, -2472479, -142528, 109192, -2176, 1762, -544, 16, 0, 1], 'lmfdb_label': '97461.v3', 'torsion': [2, 8]}
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id: 4536858
{'degree': 16, 'field': [1885483361169, 2546302682484, 1300953451968, 246354572820, -33402537912, -24821920683, -4011479639, 112551584, 122535810, 13659256, -101437, -42948, 12797, 616, -171, -4, 1], 'lmfdb_label': '97461.v3', 'torsion': [12]}
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id: 4536857
{'degree': 16, 'field': [8183277932949, 2696257220832, 1274464256646, 601484672586, 135490024992, 48545088564, 10454464335, 1797774846, 459988174, 31578034, 9489841, 264398, 103238, 452, 547, -2, 1], 'lmfdb_label': '97461.v3', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 2392152
{'conductor': 97461, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '97461.v3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2392153
{'conductor': 97461, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '97461.v3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 2392154
{'conductor': 97461, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '97461.v3', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2392155
{'conductor': 97461, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '97461.v3', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2305448
{'adelic_gens': [[23208, 4649, 23233, 23280], [24751, 37120, 24748, 37095], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [8569, 8, 34276, 33], [32491, 32490, 23218, 4651], [37121, 8, 37120, 9], [4376, 3, 30581, 2], [5303, 37120, 21212, 37095], [7, 6, 37122, 37123]], 'adelic_image': '37128.48.0.?', 'conductor': 97461, 'lmfdb_label': '97461.v3', 'prime': 0}
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id: 393118
{'conductor': 97461, 'elladic_image': '4.6.0.1', 'lmfdb_label': '97461.v3', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 97461.v does not appear in ec_padic