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ec_curvedata • Show schema
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{'Ciso': '274890f', 'Clabel': '274890f3', 'Cnumber': 3, 'abc_quality': 1.008514848458297, 'absD': 970137568134063257026560, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 14280, 'ainvs': [1, 1, 0, 18028447, 37123358133], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 274890, 'degree': 49766400, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2880423452097990393997350047', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [5508208700580085578359, 8246033269590589440], 'lmfdb_iso': '274890.f', 'lmfdb_label': '274890.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 367927, -108178804], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '21.8.0-3.a.1.2', '30.24.0.b.1', '42.24.0-6.a.1.4', '136.6.0.?', '210.48.0.?', '408.24.0.?', '2040.48.1.?', '2856.48.0.?', '14280.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3150872706821423868470586330', 'prec': 100}, 'szpiro_ratio': 4.966235866849015, '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, -1, 1, 0, -1, 1, 1, -1, -1, 4, 0, 1, 1, -1, -1, -8, -1], 'aplist': [-1, -1, -1, 0, -1, 4, -1, -8, 0, 6, -8, 2, 0, -10, 0, -6, 6, -2, 2, -6, -8, 8, 0, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 274890, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '274890.f', 'trace_hash': 594358174528154585}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0013932938059943015549407187371', 'prec': 110}, 'conductor': 274890, 'gens': [], 'heights': [], 'lmfdb_label': '274890.f4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.059785347797322189715248401996', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.23914139118928875886099360798228294892', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-1758, 879, 1]], 'xcoord_integral_points': [-1758]}
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lmfdb_label 274890.f4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11721821
{'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '274890.f4', 'torsion': [6]}
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id: 11721820
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '274890.f4', 'torsion': [2, 2]}
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id: 11721822
{'degree': 4, 'field': [-1137, -46, 47, -2, 1], 'lmfdb_label': '274890.f4', 'torsion': [4]}
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id: 11721823
{'degree': 4, 'field': [15, -15, 4, -1, 1], 'lmfdb_label': '274890.f4', 'torsion': [2, 6]}
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id: 11721824
{'degree': 6, 'field': [14649758, -34437, -11457, 7637, 9, -3, 1], 'lmfdb_label': '274890.f4', 'torsion': [6]}
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id: 11721827
{'degree': 8, 'field': [-2775, 7830, -7349, 3118, -418, -110, 29, -2, 1], 'lmfdb_label': '274890.f4', 'torsion': [12]}
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id: 11721825
{'degree': 8, 'field': [1703025, 0, -38370, 0, 199, 0, 106, 0, 1], 'lmfdb_label': '274890.f4', 'torsion': [2, 4]}
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id: 11721826
{'degree': 8, 'field': [70662376, 2996852, 959555, 19982, -3326, 508, -40, -2, 1], 'lmfdb_label': '274890.f4', 'torsion': [2, 4]}
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id: 11721829
{'degree': 12, 'field': [18831304, -286302, 65457, 432860, -194295, -26742, 9251, -366, 195, -80, 27, -6, 1], 'lmfdb_label': '274890.f4', 'torsion': [2, 6]}
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id: 11721828
{'degree': 12, 'field': [293633392564, 6200118354, 2134300275, -10043183, 19385196, -1648617, 1152587, -34446, 3849, -1, 0, -3, 1], 'lmfdb_label': '274890.f4', 'torsion': [3, 6]}
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id: 11721831
{'degree': 16, 'field': [291600, -1069200, 3645540, -3642660, 6152451, -4161846, 2749249, -942818, 442032, -107326, 48389, -3078, 2864, -106, 69, -2, 1], 'lmfdb_label': '274890.f4', 'torsion': [2, 12]}
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id: 11721832
{'degree': 16, 'field': [300644952721, 0, -48180011574, 0, 4220016685, 0, -252573906, 0, 11959764, 0, -412206, 0, 8725, 0, -114, 0, 1], 'lmfdb_label': '274890.f4', 'torsion': [2, 12]}
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id: 11721830
{'degree': 16, 'field': [97075899252672, -5212383680256, 4727369784512, 983190460736, -524660953688, 40132197568, -14156922480, 716132304, -239042663, 40078984, -8085396, 34136, -2474, -1512, 236, -8, 1], 'lmfdb_label': '274890.f4', 'torsion': [8]}
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id: 11721833
{'degree': 18, 'field': [50643004853449675, -50126757173508975, 29070682123382925, -13484997736087930, 3800512460725500, -614192283829050, 62803559253356, -5395366513410, 313596123201, 5404242209, -1624830927, 243451662, -24289966, 907068, -59604, -988, 237, -9, 1], 'lmfdb_label': '274890.f4', 'torsion': [18]}
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ec_localdata • Show schema
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id: 6808239
{'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 30, 'j_denominator_valuation': 30, 'kodaira_symbol': 34, 'lmfdb_label': '274890.f4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6808240
{'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '274890.f4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6808241
{'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '274890.f4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6808242
{'conductor': 274890, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '274890.f4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6808243
{'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '274890.f4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6808244
{'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '274890.f4', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3400344
{'adelic_gens': [[8401, 6132, 3486, 8233], [7141, 6132, 10206, 8233], [8170, 12243, 12621, 6112], [8159, 0, 0, 14279], [1, 0, 12, 1], [11, 2, 14230, 14271], [1, 6, 6, 37], [14269, 12, 14268, 13], [10550, 12243, 13573, 6112], [1, 12, 0, 1], [435, 2128, 10598, 10277]], 'adelic_image': '14280.96.1.?', 'conductor': 274890, 'lmfdb_label': '274890.f4', 'prime': 0}
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id: 980372
{'conductor': 274890, 'elladic_image': '2.3.0.1', 'lmfdb_label': '274890.f4', 'modell_image': '2B', 'prime': 2}
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id: 980373
{'conductor': 274890, 'elladic_image': '3.4.0.1', 'lmfdb_label': '274890.f4', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 274890.f does not appear in ec_padic