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ec_curvedata • Show schema
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{'Ciso': '6930h', 'Clabel': '6930h3', 'Cnumber': 3, 'abc_quality': 0.9529277285085762, 'absD': 2283094141020, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -810, 73440], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6930, 'degree': 13824, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0515502659966922296004024199', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-80677568161, 3131816380], 'lmfdb_iso': '6930.f', 'lmfdb_label': '6930.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -90, -2720], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '56.6.0.d.1', '110.6.0.?', '168.48.0.?', '330.48.0.?', '3080.12.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50224412166263738390277980144', 'prec': 103}, 'szpiro_ratio': 4.0623738185618, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, 1, 0, 2, -1, 0, 1, -6, 0, 2, -1], 'aplist': [-1, 0, -1, 1, 1, 2, -6, 2, 6, 0, 8, 8, 0, -4, 0, -12, -12, -10, -4, 12, 14, -10, 0, 18, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 6930, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '6930.f', 'trace_hash': 1213399810134284360}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.12207733617663725368504929055', 'prec': 103}, 'conductor': 6930, 'gens': [], 'heights': [], 'lmfdb_label': '6930.f3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.68202081495670882708340611232', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3640416299134176541668122246298896431', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[78, 654, 1]], 'xcoord_integral_points': [-48, 1, 78]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [4, 0], '3': 'a', '5': [0, 0], '7': [1, 0], '11': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '6930.f3'}
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ec_torsion_growth • Show schema
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id: 363420
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '6930.f3', 'torsion': [2, 6]}
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id: 363421
{'degree': 4, 'field': [-101, -84, -4, 0, 1], 'lmfdb_label': '6930.f3', 'torsion': [12]}
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id: 363422
{'degree': 6, 'field': [133, -240, 147, -20, -9, 0, 1], 'lmfdb_label': '6930.f3', 'torsion': [3, 6]}
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id: 363424
{'degree': 8, 'field': [188164, -162720, 45910, -6668, 599, 20, 54, -4, 1], 'lmfdb_label': '6930.f3', 'torsion': [2, 12]}
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id: 363423
{'degree': 8, 'field': [1373596, 1344, 107, -2848, 1290, 158, -48, -4, 1], 'lmfdb_label': '6930.f3', 'torsion': [2, 12]}
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id: 363425
{'degree': 9, 'field': [2400, -32400, 7200, -10620, 3000, 180, -34, -78, 0, 1], 'lmfdb_label': '6930.f3', 'torsion': [18]}
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id: 363426
{'degree': 12, 'field': [113239, 344400, 394992, 192020, 19215, -9420, 2420, 2220, 105, -20, 12, 0, 1], 'lmfdb_label': '6930.f3', 'torsion': [6, 6]}
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id: 363427
{'degree': 16, 'field': [10720000, 64000000, 49856000, 70912000, 23120800, -4278400, 641600, 3395200, -153540, -172320, 7120, -1440, -3038, -312, 4, -8, 1], 'lmfdb_label': '6930.f3', 'torsion': [24]}
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id: 363428
{'degree': 18, 'field': [276800000, -1005600000, 973440000, 413240000, -27288000, -374184000, 67588400, 19333200, 13899600, 1193500, -62700, -618300, 1270, -12720, 7830, -145, 75, 0, 1], 'lmfdb_label': '6930.f3', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 141242
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.f3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 141243
{'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6930.f3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 141244
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.f3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 141245
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6930.f3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 141246
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6930.f3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1709773
{'adelic_gens': [[3079, 9228, 7700, 9239], [4239, 2698, 6566, 5021], [4621, 12, 6, 73], [11, 2, 9190, 9231], [6730, 3, 5853, 9232], [5281, 12, 3966, 73], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [1, 12, 0, 1], [10, 3, 1821, 9232]], 'adelic_image': '9240.96.1.?', 'conductor': 6930, 'lmfdb_label': '6930.f3', 'prime': 0}
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id: 34222
{'conductor': 6930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6930.f3', 'modell_image': '2B', 'prime': 2}
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id: 34223
{'conductor': 6930, 'elladic_image': '3.8.0.1', 'lmfdb_label': '6930.f3', 'modell_image': '3B.1.1', 'prime': 3}
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lmfdb_iso 6930.f does not appear in ec_padic