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ec_curvedata • Show schema
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{'Ciso': '2310o', 'Clabel': '2310o1', 'Cnumber': 1, 'abc_quality': 1.0143160179255784, 'absD': 880065599546327040, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 1, 1, -332850, 86465727], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2310, 'degree': 46080, 'elladic_images': ['16.48.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1642848111922715002790157721', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-4078208988807294650401, 880065599546327040], 'lmfdb_iso': '2310.o', 'lmfdb_label': '2310.o5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -332850, 86465727], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '16.48.0-16.e.2.7', '30.6.0.a.1', '56.48.0-56.bv.1.2', '60.24.0-60.g.1.3', '112.96.0.?', '120.48.0.?', '240.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1642848111922715002790157721', 'prec': 100}, 'szpiro_ratio': 6.4657004662602695, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -2, 1, -1, 1, 2, 1, -4, 1], 'aplist': [1, -1, 1, 1, -1, -2, 2, -4, 8, 6, 8, -2, 2, 4, 8, -10, -12, -2, -4, 8, 2, 16, -4, -14, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 2310, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '2310.o', 'trace_hash': 781534013473579936}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.013186395531955066376803295998', 'prec': 107}, 'conductor': 2310, 'gens': [], 'heights': [], 'lmfdb_label': '2310.o5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26843000563938978863981367056', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6843000563938978863981367056072800602', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[345, 3411, 1]], 'xcoord_integral_points': [-679, 345]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [0, 0], '5': [3, 0], '7': [1, 0], '11': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '2310.o5'}
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ec_torsion_growth • Show schema
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id: 117977
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '2310.o5', 'torsion': [8]}
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id: 117978
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '2310.o5', 'torsion': [8]}
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id: 117976
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '2310.o5', 'torsion': [2, 4]}
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id: 117979
{'degree': 4, 'field': [4, 0, 11, 0, 1], 'lmfdb_label': '2310.o5', 'torsion': [2, 8]}
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id: 117984
{'degree': 8, 'field': [-2200, 1300, -1450, 299, -146, -7, 7, -4, 1], 'lmfdb_label': '2310.o5', 'torsion': [12]}
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id: 117982
{'degree': 8, 'field': [8320, 320, 1400, -1960, -434, 532, -91, -2, 1], 'lmfdb_label': '2310.o5', 'torsion': [16]}
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id: 117981
{'degree': 8, 'field': [246016, 0, 38689, 0, 2511, 0, 79, 0, 1], 'lmfdb_label': '2310.o5', 'torsion': [2, 8]}
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id: 117983
{'degree': 8, 'field': [743296, -256, -117884, -5812, 7383, 292, -144, -4, 1], 'lmfdb_label': '2310.o5', 'torsion': [16]}
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id: 117980
{'degree': 8, 'field': [481626916, 0, -12772571, 0, 128571, 0, -581, 0, 1], 'lmfdb_label': '2310.o5', 'torsion': [4, 4]}
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id: 117991
{'degree': 16, 'field': [36864, 0, 3550464, 0, 2184240, 0, 862423, 0, 90890, 0, -1097, 0, -215, 0, 14, 0, 1], 'lmfdb_label': '2310.o5', 'torsion': [24]}
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id: 117988
{'degree': 16, 'field': [802816, -3211264, 4214784, -702464, -2908416, 1876224, 605248, -879872, 135696, 96080, -23252, -6912, 2064, 200, -75, -2, 1], 'lmfdb_label': '2310.o5', 'torsion': [2, 16]}
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id: 117989
{'degree': 16, 'field': [2361016, 3170804, 6007866, 3354355, 1363490, 363873, 160591, -1054, 27225, -16930, 6520, -1761, 188, -35, 15, -4, 1], 'lmfdb_label': '2310.o5', 'torsion': [2, 12]}
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id: 117990
{'degree': 16, 'field': [27168904, -105558992, 481896044, -1041113066, 709823436, 3219076, -60483279, 5360770, 779740, -59500, 23199, 2978, -831, -286, 26, -4, 1], 'lmfdb_label': '2310.o5', 'torsion': [24]}
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id: 117987
{'degree': 16, 'field': [756097024, -1538076672, 1233448448, -277433344, 306808832, 58859776, -80803200, -9301120, 7765968, 735040, -381350, -31076, 10693, 600, -160, -4, 1], 'lmfdb_label': '2310.o5', 'torsion': [2, 16]}
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id: 117986
{'degree': 16, 'field': [19338796096, -114588736, 339488, 226491888, -108337804, -5587136, 1361320, 420204, -87551, -20892, 13480, -5188, 986, -84, 32, -8, 1], 'lmfdb_label': '2310.o5', 'torsion': [2, 16]}
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id: 117985
{'degree': 16, 'field': [98179448896, 0, 27070713504, 0, 3427152820, 0, 260215176, 0, 13011489, 0, 442056, 0, 10090, 0, 144, 0, 1], 'lmfdb_label': '2310.o5', 'torsion': [4, 8]}
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ec_localdata • Show schema
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id: 39019
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 40, 'j_denominator_valuation': 40, 'kodaira_symbol': 44, 'lmfdb_label': '2310.o5', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 40}
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id: 39020
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2310.o5', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 39021
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.o5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 39022
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.o5', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 39023
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.o5', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1678956
{'adelic_gens': [[1, 16, 420, 421], [1, 16, 0, 1], [641, 16, 146, 1167], [568, 1, 1199, 10], [1, 0, 16, 1], [1016, 1, 1423, 10], [15, 2, 1582, 1667], [5, 4, 1676, 1677], [1665, 16, 1664, 17], [1453, 16, 464, 1365]], 'adelic_image': '1680.192.1.?', 'conductor': 2310, 'lmfdb_label': '2310.o5', 'prime': 0}
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id: 11387
{'conductor': 2310, 'elladic_image': '16.48.0.32', 'lmfdb_label': '2310.o5', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 2310.o does not appear in ec_padic