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ec_curvedata • Show schema
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{'Ciso': '196800gy', 'Clabel': '196800gy2', 'Cnumber': 2, 'abc_quality': 1.0617280385727412, 'absD': 248913094678707437568000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 328, 'ainvs': [0, 1, 0, -725210433, -7555463776737], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 196800, 'degree': 82575360, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9053932074337881797514357415', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 167, 'isogeny_degrees': [1, 2], 'jinv': [-10298071306410575356297, 60769798505543808], 'lmfdb_iso': '196800.gl', 'lmfdb_label': '196800.gl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -453257, -118088116], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '164.6.0.?', '328.12.0.?'], '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, 'serre_invariants': [[2, 4, 25], [3, 4, 65600], [5, 14, 7872], [41, 42, 4800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0609534803768200283252078927', 'prec': 100}, 'szpiro_ratio': 5.97456970592472, '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, 0, 0, -2, 0, 1, 0, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 1, 0, -2, -4, 4, 2, 0, -4, 0, 4, 2, -1, -12, 2, -4, 4, -10, -8, -10, 2, -14, -12, 10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 196800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '196800.gl', 'trace_hash': 259902117556727875}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.00040533915770659689305357809302', 'prec': 113}, 'conductor': 196800, 'gens': [], 'heights': [], 'lmfdb_label': '196800.gl2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.014541203449008573260897018861', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3959555311048230330461138106379081508', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[31113, 0, 1]], 'xcoord_integral_points': [31113]}
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lmfdb_label 196800.gl2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8647079
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '196800.gl2', 'torsion': [2, 2]}
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id: 8647080
{'degree': 4, 'field': [10, -25, -1, -1, 1], 'lmfdb_label': '196800.gl2', 'torsion': [4]}
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id: 8647083
{'degree': 8, 'field': [-7500, 0, -3250, 0, -300, 0, 0, 0, 1], 'lmfdb_label': '196800.gl2', 'torsion': [6]}
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id: 8647081
{'degree': 8, 'field': [289, 0, 76, 0, 200, 0, 28, 0, 1], 'lmfdb_label': '196800.gl2', 'torsion': [2, 4]}
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id: 8647082
{'degree': 8, 'field': [1314, 312, 421, 214, 97, -60, 7, -2, 1], 'lmfdb_label': '196800.gl2', 'torsion': [2, 4]}
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id: 8647084
{'degree': 16, 'field': [-1039086, 2989416, -2769212, -3387248, 4925185, -1676084, 425438, -374660, 217961, -78528, 10664, 1592, 227, -244, 22, -4, 1], 'lmfdb_label': '196800.gl2', 'torsion': [8]}
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id: 8647085
{'degree': 16, 'field': [4769856, 0, 34127424, 0, 16359492, 0, 4010192, 0, 285920, 0, -3652, 0, -488, 0, 16, 0, 1], 'lmfdb_label': '196800.gl2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 4874427
{'conductor': 196800, 'conductor_valuation': 6, 'discriminant_valuation': 25, 'j_denominator_valuation': 7, 'kodaira_symbol': -19, 'lmfdb_label': '196800.gl2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 4874428
{'conductor': 196800, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '196800.gl2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 24}
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id: 4874429
{'conductor': 196800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '196800.gl2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 4874430
{'conductor': 196800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '196800.gl2', 'prime': 41, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2926287
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [325, 4, 324, 5], [124, 209, 41, 288], [1, 2, 2, 5], [1, 4, 0, 1], [129, 4, 258, 9], [2, 1, 163, 0]], 'adelic_image': '328.12.0.?', 'conductor': 196800, 'lmfdb_label': '196800.gl2', 'prime': 0}
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id: 731302
{'conductor': 196800, 'elladic_image': '8.6.0.5', 'lmfdb_label': '196800.gl2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 196800.gl does not appear in ec_padic