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ec_curvedata • Show schema
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{'Ciso': '6240c', 'Clabel': '6240c2', 'Cnumber': 2, 'abc_quality': 0.9145093888378626, 'absD': 2695680, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -696, -6840], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6240, 'degree': 2048, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.28533801215580929454920833919', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [72929847752, 5265], 'lmfdb_iso': '6240.e', 'lmfdb_label': '6240.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -696, -6840], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '40.12.0-4.c.1.1', '52.12.0-4.c.1.1', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, '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': '-0.23452237326414968751371575190', 'prec': 107}, 'szpiro_ratio': 3.5761568237829513, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 4, 0, 1, 0, 1, 0, 6, 0, 4, 0], 'aplist': [0, -1, -1, 0, 4, 1, 6, 4, 0, 2, 8, 6, -10, -4, 8, 6, -12, -10, -4, 12, -2, 8, -8, -2, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 6240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6240.e', 'trace_hash': 833577681497972402}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.56514325895009341940761442426', 'prec': 103}, 'conductor': 6240, 'gens': [], 'heights': [], 'lmfdb_label': '6240.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.92938816891485510908817725344', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8587763378297102181763545068778372695', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-15, 0, 1]], 'xcoord_integral_points': [-15]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '6240.e1'}
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ec_torsion_growth • Show schema
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id: 324840
{'degree': 2, 'field': [-130, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [2, 2]}
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id: 324841
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [4]}
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id: 324842
{'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [4]}
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id: 324843
{'degree': 4, 'field': [9, 0, 46, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [2, 4]}
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id: 324847
{'degree': 8, 'field': [-243, 0, 1656, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [6]}
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id: 324844
{'degree': 8, 'field': [12951, 5308, -5514, 424, -241, 32, -6, -4, 1], 'lmfdb_label': '6240.e1', 'torsion': [2, 4]}
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id: 324846
{'degree': 8, 'field': [16900, 0, -3380, 0, 546, 0, -26, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [8]}
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id: 324845
{'degree': 8, 'field': [39601, 0, 7012, 0, 594, 0, 28, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [8]}
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id: 324850
{'degree': 16, 'field': [810000, 0, -3132000, 0, 10260000, 0, -6989280, 0, 3906076, 0, -182192, 0, 6408, 0, -92, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [2, 8]}
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id: 324849
{'degree': 16, 'field': [84015556, 0, 56266544, 0, 25534792, 0, -417568, 0, 25600, 0, 15608, 0, 1492, 0, 56, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [2, 8]}
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id: 324852
{'degree': 16, 'field': [148913209, 0, 627784064, 0, 92055700, 0, 4061072, 0, 455470, 0, 61472, 0, 2692, 0, 80, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [12]}
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id: 324848
{'degree': 16, 'field': [167728401, 0, 170998492, 0, 19660630, 0, -1982848, 0, 165479, 0, 5768, 0, -190, 0, 28, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [4, 4]}
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id: 324853
{'degree': 16, 'field': [225976169, -242913472, 145562572, -22745276, -12797620, 2936328, 3474100, -878804, -86398, 35200, 12732, -3404, 332, 24, 20, -4, 1], 'lmfdb_label': '6240.e1', 'torsion': [12]}
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id: 324851
{'degree': 16, 'field': [6795858969, 0, 12886788864, 0, -722400020, 0, 43020672, 0, 186510, 0, -20608, 0, -1668, 0, 0, 0, 1], 'lmfdb_label': '6240.e1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 124577
{'conductor': 6240, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6240.e1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 124578
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6240.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 124579
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6240.e1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 124580
{'conductor': 6240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6240.e1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1704862
{'adelic_gens': [[848, 3, 725, 2], [628, 1, 1271, 6], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [521, 8, 524, 33], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [191, 192, 962, 185], [1368, 593, 187, 174]], 'adelic_image': '1560.48.0.?', 'conductor': 6240, 'lmfdb_label': '6240.e1', 'prime': 0}
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id: 30631
{'conductor': 6240, 'elladic_image': '4.6.0.1', 'lmfdb_label': '6240.e1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 6240.e does not appear in ec_padic
