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ec_curvedata • Show schema
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{'Ciso': '377520ha', 'Clabel': '377520ha3', 'Cnumber': 3, 'abc_quality': 0.9796848210169614, 'absD': 442181625600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [0, 1, 0, -1635960, 804210900], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 377520, 'degree': 7864320, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3095944982783334105819601064', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 182, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [66730743078481, 60937500], 'lmfdb_iso': '377520.ha', 'lmfdb_label': '377520.ha2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -845, 9095], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0.by.1', '44.12.0-4.c.1.1', '80.24.0.?', '88.24.0.?', '104.24.0.?', '156.12.0.?', '240.48.0.?', '264.48.0.?', '312.48.0.?', '880.48.0.?', '1040.48.0.?', '1144.48.0.?', '1716.24.0.?', '2640.96.0.?', '3120.96.1.?', '3432.96.0.?', '11440.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9954804911762676834480662707', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41749968131920282913375619596', 'prec': 103}, 'szpiro_ratio': 4.246960191671095, '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, 0, 0, -1, 0, 1, 0, 6, 0, 4, 0], 'aplist': [0, 1, 1, 0, 0, -1, 6, 4, -8, -6, 8, -10, 6, 4, 0, -10, -4, 2, 12, -16, -2, -16, -12, 10, -6], 'class_deg': 8, 'class_size': 6, 'conductor': 377520, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '377520.ha', 'trace_hash': 441410455756350710}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0098607899538184150714355070498', 'prec': 110}, 'conductor': 377520, 'gens': [[764, 930, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.9954804911762676834480662707', 'prec': 100}], 'lmfdb_label': '377520.ha2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29545512496588967278972053790', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.807522502281184730560150360510006331', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[755, 0, 1]], 'xcoord_integral_points': [755, 764]}
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lmfdb_label 377520.ha2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15646682
{'degree': 2, 'field': [-107, -1, 1], 'lmfdb_label': '377520.ha2', 'torsion': [4]}
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id: 15646680
{'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [2, 2]}
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id: 15646681
{'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [4]}
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id: 15646685
{'degree': 4, 'field': [25, 0, -34, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [8]}
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id: 15646683
{'degree': 4, 'field': [49, 0, -25, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [2, 4]}
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id: 15646684
{'degree': 4, 'field': [225, 0, -74, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [8]}
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id: 15646688
{'degree': 8, 'field': [4225, 0, -5486, 0, 1239, 0, -74, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [2, 8]}
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id: 15646686
{'degree': 8, 'field': [23325, -5100, 4842, 504, -221, -40, 18, -4, 1], 'lmfdb_label': '377520.ha2', 'torsion': [2, 4]}
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id: 15646689
{'degree': 8, 'field': [572456, -761284, -80155, -13776, -2133, -282, -35, -2, 1], 'lmfdb_label': '377520.ha2', 'torsion': [6]}
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id: 15646687
{'degree': 8, 'field': [1981125, 44820, -41958, -5736, 2899, -40, 18, -4, 1], 'lmfdb_label': '377520.ha2', 'torsion': [8]}
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id: 15646690
{'degree': 16, 'field': [9025, 0, 83796, 0, 163954, 0, 12132, 0, 7443, 0, 1548, 0, 202, 0, 24, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [4, 4]}
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id: 15646693
{'degree': 16, 'field': [8265625, 0, 51380000, 0, 178789600, 0, 26418920, 0, 866806, 0, -173536, 0, 7216, 0, -136, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [16]}
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id: 15646695
{'degree': 16, 'field': [12173121, 0, -269529912, 0, 87295356, 0, -17453864, 0, 1459526, 0, -78536, 0, 3196, 0, -88, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [12]}
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id: 15646692
{'degree': 16, 'field': [70140625, 0, -702270000, 0, 1021050600, 0, -334160920, 0, 32927806, 0, -1435376, 0, 30376, 0, -296, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [16]}
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id: 15646691
{'degree': 16, 'field': [14598680625, 0, -2455126200, 0, -4208166, 0, 11271780, 0, 1011883, 0, -8060, 0, -1218, 0, -20, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [2, 8]}
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id: 15646694
{'degree': 16, 'field': [296023046400, 0, -382339872000, 0, -17806682240, 0, -1921909344, 0, -32564208, 0, -854024, 0, 4281, 0, -78, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [2, 6]}
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id: 15646696
{'degree': 16, 'field': [362365473024, 0, 946578245568, 0, 71121014800, 0, 1684291296, 0, 1386480, 0, -570776, 0, -9192, 0, 0, 0, 1], 'lmfdb_label': '377520.ha2', 'torsion': [12]}
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ec_localdata • Show schema
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id: 9341741
{'conductor': 377520, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '377520.ha2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9341742
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377520.ha2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 9341743
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '377520.ha2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 9341744
{'conductor': 377520, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '377520.ha2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 9341745
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377520.ha2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 4012035
{'adelic_gens': [[1, 16, 0, 1], [27457, 12496, 19976, 31329], [9359, 0, 0, 34319], [9373, 12496, 8844, 21385], [5, 4, 34316, 34317], [34305, 16, 34304, 17], [1, 0, 16, 1], [11056, 12485, 9075, 31186], [33142, 8569, 26213, 29754], [15, 2, 34222, 34307], [19768, 9361, 30239, 15610]], 'adelic_image': '34320.192.1.?', 'conductor': 377520, 'lmfdb_label': '377520.ha2', 'prime': 0}
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id: 1292890
{'conductor': 377520, 'elladic_image': '8.12.0.5', 'lmfdb_label': '377520.ha2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 377520.ha does not appear in ec_padic