Elliptic curve search results

Results (22 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
2090.b1	2090e3	2090.b	2090e	$4$	$6$	\( 2 \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 5^{6} \cdot 11 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$25080$	$96$	$1$	$0.526683305$	$1$		$7$	$2592$	$0.788006$	$210103680895849/75449000000$	$0.92271$	$4.31380$	$[1, 0, 1, -1239, -10438]$	\(y^2+xy+y=x^3-1239x-10438\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.d.1, 120.48.0.?, $\ldots$	$[(-17, 84)]$
10450.bg1	10450bb3	10450.bg	10450bb	$4$	$6$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 5^{12} \cdot 11 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$1$		$1$	$62208$	$1.592724$	$210103680895849/75449000000$	$0.92271$	$4.60705$	$[1, 1, 1, -30963, -1304719]$	\(y^2+xy+y=x^3+x^2-30963x-1304719\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.15, $\ldots$	$[ ]$
16720.bh1	16720s3	16720.bh	16720s	$4$	$6$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{6} \cdot 11 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$4$	$2$	$1$	$62208$	$1.481153$	$210103680895849/75449000000$	$0.92271$	$4.24669$	$[0, -1, 0, -19816, 668016]$	\(y^2=x^3-x^2-19816x+668016\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.d.1, $\ldots$	$[ ]$
18810.z1	18810be3	18810.z	18810be	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11 \cdot 19^{3} \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$25080$	$96$	$1$	$2.099814595$	$1$		$13$	$62208$	$1.337313$	$210103680895849/75449000000$	$0.92271$	$4.02050$	$[1, -1, 1, -11147, 281819]$	\(y^2+xy+y=x^3-x^2-11147x+281819\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.d.1, 120.48.0.?, $\ldots$	$[(-23, 736)]$
22990.x1	22990v3	22990.x	22990v	$4$	$6$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{6} \cdot 5^{6} \cdot 11^{7} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$3.214348691$	$1$		$5$	$311040$	$1.986954$	$210103680895849/75449000000$	$0.92271$	$4.71641$	$[1, 0, 0, -149861, 13742785]$	\(y^2+xy=x^3-149861x+13742785\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 40.6.0.d.1, $\ldots$	$[(-144, 5759)]$
39710.ba1	39710x3	39710.ba	39710x	$4$	$6$	\( 2 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{6} \cdot 5^{6} \cdot 11 \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$1$		$1$	$933120$	$2.260223$	$210103680895849/75449000000$	$0.92271$	$4.78266$	$[1, 1, 1, -447106, 70698319]$	\(y^2+xy+y=x^3+x^2-447106x+70698319\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 57.8.0-3.a.1.2, $\ldots$	$[ ]$
66880.bc1	66880dw3	66880.bc	66880dw	$4$	$6$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{24} \cdot 5^{6} \cdot 11 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$0.846913736$	$1$		$5$	$497664$	$1.827726$	$210103680895849/75449000000$	$0.92271$	$4.09114$	$[0, 1, 0, -79265, 5264863]$	\(y^2=x^3+x^2-79265x+5264863\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 40.6.0.d.1, $\ldots$	$[(21, 1900)]$
66880.dd1	66880y3	66880.dd	66880y	$4$	$6$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{24} \cdot 5^{6} \cdot 11 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$1$		$1$	$497664$	$1.827726$	$210103680895849/75449000000$	$0.92271$	$4.09114$	$[0, -1, 0, -79265, -5264863]$	\(y^2=x^3-x^2-79265x-5264863\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 40.6.0.d.1, $\ldots$	$[ ]$
83600.c1	83600bi3	83600.c	83600bi	$4$	$6$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 5^{12} \cdot 11 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$1$		$1$	$1492992$	$2.285873$	$210103680895849/75449000000$	$0.92271$	$4.49567$	$[0, 1, 0, -495408, 82511188]$	\(y^2=x^3+x^2-495408x+82511188\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 40.6.0.d.1, $\ldots$	$[ ]$
94050.cb1	94050v3	94050.cb	94050v	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{12} \cdot 11 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1.831193899$	$1$		$3$	$1492992$	$2.142033$	$210103680895849/75449000000$	$0.92271$	$4.29870$	$[1, -1, 0, -278667, 34948741]$	\(y^2+xy=x^3-x^2-278667x+34948741\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.7, $\ldots$	$[(539, 6143)]$
102410.bb1	102410x3	102410.bb	102410x	$4$	$6$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( 2^{6} \cdot 5^{6} \cdot 7^{6} \cdot 11 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$175560$	$96$	$1$	$1$	$1$		$1$	$746496$	$1.760962$	$210103680895849/75449000000$	$0.92271$	$3.87060$	$[1, 1, 0, -60687, 3519461]$	\(y^2+xy=x^3+x^2-60687x+3519461\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 40.6.0.d.1, $\ldots$	$[ ]$
114950.bk1	114950q3	114950.bk	114950q	$4$	$6$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( 2^{6} \cdot 5^{12} \cdot 11^{7} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$1$		$1$	$7464960$	$2.791672$	$210103680895849/75449000000$	$0.92271$	$4.89370$	$[1, 1, 0, -3746525, 1717848125]$	\(y^2+xy=x^3+x^2-3746525x+1717848125\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 120.24.0.?, $\ldots$	$[ ]$
150480.eh1	150480be3	150480.eh	150480be	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 11 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$3.611611689$	$1$		$5$	$1492992$	$2.030460$	$210103680895849/75449000000$	$0.92271$	$4.01692$	$[0, 0, 0, -178347, -17858086]$	\(y^2=x^3-178347x-17858086\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.d.1, $\ldots$	$[(-235, 3328)]$
183920.cg1	183920bn3	183920.cg	183920bn	$4$	$6$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{18} \cdot 5^{6} \cdot 11^{7} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$5.148257362$	$1$		$7$	$7464960$	$2.680099$	$210103680895849/75449000000$	$0.92271$	$4.59351$	$[0, -1, 0, -2397776, -879538240]$	\(y^2=x^3-x^2-2397776x-879538240\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 120.24.0.?, $\ldots$	$[(5944, 441408), (-590, 18150)]$
198550.j1	198550ca3	198550.j	198550ca	$4$	$6$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \)	\( 2^{6} \cdot 5^{12} \cdot 11 \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$5.714929706$	$1$		$1$	$22394880$	$3.064945$	$210103680895849/75449000000$	$0.92271$	$4.94327$	$[1, 0, 1, -11177651, 8859645198]$	\(y^2+xy+y=x^3-11177651x+8859645198\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 120.24.0.?, $\ldots$	$[(664447/9, 496344824/9)]$
206910.cq1	206910dq3	206910.cq	206910dq	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{7} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$1$		$1$	$7464960$	$2.536259$	$210103680895849/75449000000$	$0.92271$	$4.40829$	$[1, -1, 0, -1348749, -371055195]$	\(y^2+xy=x^3-x^2-1348749x-371055195\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 40.6.0.d.1, $\ldots$	$[ ]$
317680.o1	317680o3	317680.o	317680o	$4$	$6$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{18} \cdot 5^{6} \cdot 11 \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$13.36682097$	$1$		$1$	$22394880$	$2.953373$	$210103680895849/75449000000$	$0.92271$	$4.65419$	$[0, 1, 0, -7153696, -4538999820]$	\(y^2=x^3+x^2-7153696x-4538999820\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 120.24.0.?, $\ldots$	$[(-4958870/51, 6184195840/51)]$
334400.bl1	334400bl3	334400.bl	334400bl	$4$	$6$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{24} \cdot 5^{12} \cdot 11 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$12.14703543$	$1$		$1$	$11943936$	$2.632446$	$210103680895849/75449000000$	$0.92271$	$4.33266$	$[0, 1, 0, -1981633, -662071137]$	\(y^2=x^3+x^2-1981633x-662071137\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 40.6.0.d.1, $\ldots$	$[(17565483/71, 66723072000/71)]$
334400.ft1	334400ft3	334400.ft	334400ft	$4$	$6$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( 2^{24} \cdot 5^{12} \cdot 11 \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$1$	$1$		$1$	$11943936$	$2.632446$	$210103680895849/75449000000$	$0.92271$	$4.33266$	$[0, -1, 0, -1981633, 662071137]$	\(y^2=x^3-x^2-1981633x+662071137\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 40.6.0.d.1, $\ldots$	$[ ]$
353210.bi1	353210bi3	353210.bi	353210bi	$4$	$6$	\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \cdot 19 \)	\( 2^{6} \cdot 5^{6} \cdot 11 \cdot 13^{6} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$326040$	$96$	$1$	$1.363222112$	$1$		$7$	$5971968$	$2.070480$	$210103680895849/75449000000$	$0.92271$	$3.78622$	$[1, 0, 0, -209310, -22722428]$	\(y^2+xy=x^3-209310x-22722428\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.d.1, $\ldots$	$[(534, 3958)]$
357390.bd1	357390bd3	357390.bd	357390bd	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11 \cdot 19^{9} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$4.032494671$	$1$		$15$	$22394880$	$2.809532$	$210103680895849/75449000000$	$0.92271$	$4.47633$	$[1, -1, 0, -4023954, -1912878572]$	\(y^2+xy=x^3-x^2-4023954x-1912878572\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.d.1, 57.8.0-3.a.1.1, $\ldots$	$[(-603, 17449), (-16507/4, 2193599/4)]$
436810.bh1	436810bh3	436810.bh	436810bh	$4$	$6$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	\( 2^{6} \cdot 5^{6} \cdot 11^{7} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$25080$	$96$	$1$	$49.75925190$	$1$		$1$	$111974400$	$3.459171$	$210103680895849/75449000000$	$0.92271$	$5.00742$	$[1, 1, 0, -54099828, -94369961968]$	\(y^2+xy=x^3+x^2-54099828x-94369961968\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 40.6.0.d.1, 120.48.0.?, $\ldots$	$[(-94489815396885268629512/4030573731, 10242793213757590269388409604324716/4030573731)]$

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