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ec_curvedata • Show schema
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{'Ciso': '2310h', 'Clabel': '2310h4', 'Cnumber': 4, 'abc_quality': 0.9486732153279479, 'absD': 3163773690, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [1, 0, 1, 356, 812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2310, 'degree': 2048, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51194111936614037853551896963', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [5009866738631, 3163773690], 'lmfdb_iso': '2310.g', 'lmfdb_label': '2310.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 356, 812], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '20.12.0-4.c.1.1', '40.24.0-40.s.1.4', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.75035315485867448381033474146', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51194111936614037853551896963', 'prec': 103}, 'szpiro_ratio': 3.7756513681726918, '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, 1, -1, 1, 1, -1, 1, -6, -1, -1, 1, 2, -1, 4, -1], 'aplist': [-1, 1, -1, 1, -1, -6, 2, 4, -8, 2, 4, -6, -6, -4, -8, 2, -12, -10, 16, 0, 10, -12, -16, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 2310, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2310.g', 'trace_hash': 510692994538498871}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.35919773841991444636637552106', 'prec': 103}, 'conductor': 2310, 'gens': [[10, 68, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.75035315485867448381033474146', 'prec': 103}], 'lmfdb_label': '2310.g4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.88117818898005679362777023297', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6447793363753555390604014432657904555', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-9, 5, 2]], 'xcoord_integral_points': [0, 10, 28]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 2], '3': [2, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '2310.g4'}
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ec_torsion_growth • Show schema
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id: 117505
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [4]}
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id: 117506
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [4]}
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id: 117504
{'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [2, 2]}
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id: 117507
{'degree': 4, 'field': [9, 0, 4, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [2, 4]}
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id: 117511
{'degree': 8, 'field': [-48, 0, -244, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [6]}
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id: 117508
{'degree': 8, 'field': [8731, -1436, 1622, -368, 175, 8, 2, -4, 1], 'lmfdb_label': '2310.g4', 'torsion': [2, 4]}
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id: 117510
{'degree': 8, 'field': [9216, 0, 3957, 0, 559, 0, 43, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [8]}
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id: 117509
{'degree': 8, 'field': [13924, 0, -208, 0, 164, 0, -40, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [8]}
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id: 117516
{'degree': 16, 'field': [379456, 0, -379456, 0, 94864, 0, 16512, 0, -7824, 0, -1128, 0, 64, 0, -16, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [12]}
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id: 117517
{'degree': 16, 'field': [1432809, 0, -2159136, 0, 132300, 0, 550472, 0, 96350, 0, 6992, 0, 652, 0, 40, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [12]}
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id: 117512
{'degree': 16, 'field': [4100625, 0, 0, 0, 0, 0, 0, 0, 68850, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [4, 4]}
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id: 117513
{'degree': 16, 'field': [13845841, 0, -3810304, 0, 3703232, 0, -1354560, 0, 201266, 0, -15360, 0, 1472, 0, -64, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [2, 8]}
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id: 117515
{'degree': 16, 'field': [99840064, 0, 31056704, 0, 29180560, 0, 7688832, 0, 845520, 0, 56472, 0, 2752, 0, 80, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [2, 6]}
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id: 117514
{'degree': 16, 'field': [389115076, 0, 167850340, 0, 39988229, 0, 6358590, 0, 621131, 0, 40920, 0, 2219, 0, 70, 0, 1], 'lmfdb_label': '2310.g4', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 38864
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.g4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 38865
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.g4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 38866
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.g4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 38867
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.g4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 38868
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.g4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1678913
{'adelic_gens': [[2201, 8, 2644, 33], [2696, 1163, 1929, 1958], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [2521, 8, 844, 33], [2468, 1, 1871, 6], [3073, 8, 3072, 9], [1928, 393, 1953, 2000], [7, 6, 3074, 3075]], 'adelic_image': '3080.48.0.?', 'conductor': 2310, 'lmfdb_label': '2310.g4', 'prime': 0}
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id: 11324
{'conductor': 2310, 'elladic_image': '8.12.0.8', 'lmfdb_label': '2310.g4', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 69690
{'lmfdb_iso': '2310.g', 'p': 13, 'prec': 20, 'unit': 361660128117146803172, 'val': 1}
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id: 69692
{'lmfdb_iso': '2310.g', 'p': 17, 'prec': 20, 'unit': 88721350097757439258472, 'val': 1}
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id: 69693
{'lmfdb_iso': '2310.g', 'p': 19, 'prec': 20, 'unit': 623570496423194650347660, 'val': 1}
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id: 69697
{'lmfdb_iso': '2310.g', 'p': 23, 'prec': 20, 'unit': 44982442910447665703698540, 'val': 1}
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id: 69689
{'lmfdb_iso': '2310.g', 'p': 29, 'prec': 20, 'unit': 2669798336221248042026712242, 'val': 1}
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id: 69701
{'lmfdb_iso': '2310.g', 'p': 31, 'prec': 20, 'unit': 2648322412116367943478365296, 'val': 1}
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id: 69686
{'lmfdb_iso': '2310.g', 'p': 37, 'prec': 20, 'unit': 157135790489048256491378865072, 'val': 1}
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id: 69687
{'lmfdb_iso': '2310.g', 'p': 41, 'prec': 20, 'unit': 706668864646152097818833975876, 'val': 1}
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id: 69688
{'lmfdb_iso': '2310.g', 'p': 43, 'prec': 20, 'unit': 4772753865862706780919696280386, 'val': 1}
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id: 69699
{'lmfdb_iso': '2310.g', 'p': 47, 'prec': 20, 'unit': 18823064282938307443040205369, 'val': 3}
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id: 69694
{'lmfdb_iso': '2310.g', 'p': 53, 'prec': 20, 'unit': 193544241026025596657359997275270, 'val': 1}
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id: 69695
{'lmfdb_iso': '2310.g', 'p': 59, 'prec': 20, 'unit': 1274561891446746864480373604060343, 'val': 1}
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id: 69700
{'lmfdb_iso': '2310.g', 'p': 61, 'prec': 20, 'unit': 7908749428160246827621000631572255, 'val': 1}
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id: 69685
{'lmfdb_iso': '2310.g', 'p': 67, 'prec': 20, 'unit': 493468291266004223583215463240455, 'val': 2}
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id: 69696
{'lmfdb_iso': '2310.g', 'p': 73, 'prec': 20, 'unit': 33553720312713763287174837248575098, 'val': 1}
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id: 69691
{'lmfdb_iso': '2310.g', 'p': 79, 'prec': 20, 'unit': 168832595362667623707993266998295252, 'val': 1}
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id: 69684
{'lmfdb_iso': '2310.g', 'p': 83, 'prec': 20, 'unit': 1453404063407180958837945629485713023, 'val': 1}
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id: 69698
{'lmfdb_iso': '2310.g', 'p': 89, 'prec': 20, 'unit': 1989503187046404366582771978211846977, 'val': 1}
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id: 69683
{'lmfdb_iso': '2310.g', 'p': 97, 'prec': 20, 'unit': 2784415606833369132216706118587277023, 'val': 1}