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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, -2, 0, 0, 1, 1, 1, -4, 0], 'aplist': [1, 1, 0, 0, 0, -2, 1, -4, 0, 2, 8, -6, 6, -4, 0, 10, -4, 2, -4, 0, -6, -8, -12, -6, 14], 'class_deg': 16, 'class_size': 8, 'conductor': 308550, 'isogeny_matrix': [[1, 16, 2, 4, 8, 16, 8, 4], [16, 1, 8, 4, 2, 4, 8, 16], [2, 8, 1, 2, 4, 8, 4, 2], [4, 4, 2, 1, 2, 4, 2, 4], [8, 2, 4, 2, 1, 2, 4, 8], [16, 4, 8, 4, 2, 1, 8, 16], [8, 8, 4, 2, 4, 8, 1, 8], [4, 16, 2, 4, 8, 16, 8, 1]], 'lmfdb_iso': '308550.iz', 'trace_hash': 1841832934390239283}
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lmfdb_iso 308550.iz does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1940592
{'Ciso': '308550iz', 'Clabel': '308550iz7', 'Cnumber': 7, 'abc_quality': 1.0337884894740492, 'absD': 25320667299319863281250, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 89760, 'ainvs': [1, 0, 0, -343246813, 2447657710367], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 308550, 'degree': 62914560, 'elladic_images': ['16.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4904064695293721042230064648', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [161572377633716256481, 914742821250], 'lmfdb_iso': '308550.iz', 'lmfdb_label': '308550.iz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -113470, -14759143], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '16.48.0.x.1', '136.48.0.?', '220.12.0.?', '272.96.1.?', '440.48.0.?', '480.96.1.?', '880.96.0.?', '1056.96.0.?', '1360.192.5.?', '1632.192.5.?', '2992.192.1.?', '5280.192.1.?', '7480.96.0.?', '8160.384.13.?', '14960.384.5.?', '17952.384.5.?', '89760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3350431256158345227742150057', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4867398769131366448916550092', 'prec': 100}, 'szpiro_ratio': 5.5836628688751535, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1940589
{'Ciso': '308550iz', 'Clabel': '308550iz4', 'Cnumber': 4, 'abc_quality': 1.0170027108062862, 'absD': 112937013750000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 89760, 'ainvs': [1, 0, 0, -65824063, -205559111383], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 308550, 'degree': 15728640, 'elladic_images': ['32.48.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7972592889694267948057743433', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1139466686381936641, 4080], 'lmfdb_iso': '308550.iz', 'lmfdb_label': '308550.iz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -21760, 1226417], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '32.48.0.e.2', '120.24.0.?', '136.24.0.?', '220.12.0.?', '240.48.0.?', '264.24.0.?', '272.48.0.?', '440.24.0.?', '480.96.1.?', '528.48.0.?', '544.96.1.?', '816.96.2.?', '880.48.0.?', '1020.12.0.?', '1056.96.0.?', '1320.48.0.?', '1360.96.2.?', '1632.192.5.?', '1760.96.0.?', '2040.48.0.?', '2244.12.0.?', '2640.96.0.?', '2720.192.5.?', '2992.96.0.?', '4080.192.5.?', '4488.48.0.?', '5280.192.1.?', '5984.192.1.?', '7480.48.0.?', '8160.384.13.?', '8976.192.2.?', '11220.24.0.?', '14960.192.2.?', '17952.384.5.?', '22440.96.0.?', '29920.384.5.?', '44880.384.5.?', '89760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.3401725024633380910968600229', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79359269635319133547442288770', 'prec': 103}, 'szpiro_ratio': 5.191690218787136, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1940590
{'Ciso': '308550iz', 'Clabel': '308550iz5', 'Cnumber': 5, 'abc_quality': 1.0054946838642063, 'absD': 82009477230688476562500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 44880, 'ainvs': [1, 0, 0, -21840563, 36789429117], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 308550, 'degree': 31457280, 'elladic_images': ['8.48.0.91'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1438328792493994495143904040', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [41623544884956481, 2962701562500], 'lmfdb_iso': '308550.iz', 'lmfdb_label': '308550.iz3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -7220, -224143], 'min_quad_twist_disc': -55, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.k.2', '136.96.1.?', '220.24.0.?', '240.96.1.?', '440.96.0.?', '528.96.0.?', '816.192.5.?', '1360.192.5.?', '2640.192.1.?', '2992.192.1.?', '4080.384.13.?', '7480.192.1.?', '8976.384.5.?', '14960.384.5.?', '44880.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6700862512316690455484300114', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1401662866331639901830389484', 'prec': 100}, 'szpiro_ratio': 4.92984337530696, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1940588
{'Ciso': '308550iz', 'Clabel': '308550iz3', 'Cnumber': 3, 'abc_quality': 1.0677360670200853, 'absD': 1872650976368906250000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 44880, 'ainvs': [1, 0, 0, -4356063, -2812963383], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 308550, 'degree': 15728640, 'elladic_images': ['8.48.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7972592889694267948057743433', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4], 'jinv': [330240275458561, 67652010000], 'lmfdb_iso': '308550.iz', 'lmfdb_label': '308550.iz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1440, 16305], 'min_quad_twist_disc': -55, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0.b.1', '8.48.0.b.1', '120.96.1.?', '136.96.1.?', '220.48.0.?', '264.96.0.?', '440.96.0.?', '816.192.5.?', '1320.192.1.?', '1360.192.5.?', '2040.192.5.?', '2992.192.1.?', '4080.384.13.?', '4488.192.1.?', '7480.192.1.?', '8976.384.5.?', '14960.384.5.?', '22440.384.5.?', '44880.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3350431256158345227742150057', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79359269635319133547442288770', 'prec': 103}, 'szpiro_ratio': 4.547189986102441, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1940587
{'Ciso': '308550iz', 'Clabel': '308550iz2', 'Cnumber': 2, 'abc_quality': 0.9796429838987872, 'absD': 460783016100000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 44880, 'ainvs': [1, 0, 0, -4114063, -3212021383], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 308550, 'degree': 7864320, 'elladic_images': ['16.48.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4506856986894541400971582826', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [278202094583041, 16646400], 'lmfdb_iso': '308550.iz', 'lmfdb_label': '308550.iz5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1360, 18737], 'min_quad_twist_disc': -55, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.i.1', '16.48.0.d.1', '120.48.0.?', '136.48.0.?', '220.24.0.?', '240.96.1.?', '264.48.0.?', '272.96.1.?', '440.48.0.?', '528.96.0.?', '816.192.5.?', '880.96.0.?', '1020.24.0.?', '1320.96.0.?', '1360.192.5.?', '2040.96.1.?', '2244.24.0.?', '2640.192.1.?', '2992.192.1.?', '4080.384.13.?', '4488.96.0.?', '7480.96.0.?', '8976.384.5.?', '11220.48.0.?', '14960.384.5.?', '22440.192.1.?', '44880.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6700862512316690455484300114', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44701910607321868076580682700', 'prec': 103}, 'szpiro_ratio': 4.533623721594372, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 1940586
{'Ciso': '308550iz', 'Clabel': '308550iz1', 'Cnumber': 1, 'abc_quality': 1.0017576460079456, 'absD': 462590008320000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 89760, 'ainvs': [1, 0, 0, -242063, -56341383], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 308550, 'degree': 3932160, 'elladic_images': ['32.48.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1041121084094814853885422218', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [-56667352321, 16711680], 'lmfdb_iso': '308550.iz', 'lmfdb_label': '308550.iz6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -80, 305], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.g.1', '32.48.0.e.2', '120.24.0.?', '136.24.0.?', '220.12.0.?', '240.48.0.?', '264.24.0.?', '272.48.0.?', '440.24.0.?', '480.96.1.?', '510.6.0.?', '528.48.0.?', '544.96.1.?', '816.96.2.?', '880.48.0.?', '1020.12.0.?', '1056.96.0.?', '1320.48.0.?', '1360.96.2.?', '1632.192.5.?', '1760.96.0.?', '2040.48.0.?', '2244.12.0.?', '2640.96.0.?', '2720.192.5.?', '2992.96.0.?', '4080.192.5.?', '4488.48.0.?', '5280.192.1.?', '5984.192.1.?', '7480.48.0.?', '8160.384.13.?', '8976.192.2.?', '11220.24.0.?', '14960.192.2.?', '17952.384.5.?', '22440.96.0.?', '29920.384.5.?', '44880.384.5.?', '89760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3350431256158345227742150057', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10044551579324602605719076621', 'prec': 103}, 'szpiro_ratio': 3.893806489921864, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1940591
{'Ciso': '308550iz', 'Clabel': '308550iz6', 'Cnumber': 6, 'abc_quality': 1.0137929987603158, 'absD': 173784091330341576562500, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 89760, 'ainvs': [1, 0, 0, 9256437, -16874675883], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 308550, 'degree': 31457280, 'elladic_images': ['8.48.0.199'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1438328792493994495143904040', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [3168685387909439, 6278181696900], 'lmfdb_iso': '308550.iz', 'lmfdb_label': '308550.iz7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 3060, 102705], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.48.0.n.1', '60.24.0.h.1', '120.96.1.?', '132.24.0.?', '220.24.0.?', '264.96.0.?', '272.96.1.?', '440.96.0.?', '660.48.0.?', '1320.192.1.?', '1632.192.5.?', '2720.192.5.?', '4080.192.5.?', '5984.192.1.?', '8160.384.13.?', '8976.192.1.?', '14960.192.1.?', '17952.384.5.?', '29920.384.5.?', '44880.384.5.?', '89760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6700862512316690455484300114', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1401662866331639901830389484', 'prec': 100}, 'szpiro_ratio': 4.796133482195427, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1940593
{'Ciso': '308550iz', 'Clabel': '308550iz8', 'Cnumber': 8, 'abc_quality': 1.042914731101016, 'absD': 11632153973579406738281250, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 89760, 'ainvs': [1, 0, 0, 19813687, 160544205867], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 308550, 'degree': 62914560, 'elladic_images': ['16.48.0.144'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4904064695293721042230064648', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 16, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [31077313442863199, 420227050781250], 'lmfdb_iso': '308550.iz', 'lmfdb_label': '308550.iz8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 6550, -962215], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.ba.1', '16.48.0.u.1', '136.48.0.?', '220.12.0.?', '272.96.1.?', '440.48.0.?', '480.96.1.?', '816.192.5.?', '880.96.0.?', '1056.96.0.?', '2720.192.5.?', '5280.192.1.?', '5984.192.1.?', '7480.96.0.?', '8160.384.13.?', '14960.192.1.?', '17952.384.5.?', '29920.384.5.?', '44880.384.5.?', '89760.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.3401725024633380910968600229', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4867398769131366448916550092', 'prec': 100}, 'szpiro_ratio': 5.152583420818952, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}