Elliptic curve search results

Results (26 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
8736.k4	8736n4	8736.k	8736n	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$4$	$2$	$1$	$3072$	$0.317929$	$1018108216/599781$	$0.94127$	$2.97288$	$[0, -1, 0, 168, -168]$	\(y^2=x^3-x^2+168x-168\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 28.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[ ]$
8736.x4	8736j4	8736.x	8736j	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 7 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$5.519846213$	$1$		$1$	$3072$	$0.317929$	$1018108216/599781$	$0.94127$	$2.97288$	$[0, 1, 0, 168, 168]$	\(y^2=x^3+x^2+168x+168\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 28.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[(221/2, 3405/2)]$
17472.l4	17472n4	17472.l	17472n	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 7 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$2.632171556$	$1$		$5$	$12288$	$0.664502$	$1018108216/599781$	$0.94127$	$3.18768$	$[0, -1, 0, 671, 673]$	\(y^2=x^3-x^2+671x+673\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[(3, 52)]$
17472.bu4	17472bb4	17472.bu	17472bb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 7 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$3.284331270$	$1$		$3$	$12288$	$0.664502$	$1018108216/599781$	$0.94127$	$3.18768$	$[0, 1, 0, 671, -673]$	\(y^2=x^3+x^2+671x-673\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[(37, 276)]$
26208.i4	26208k2	26208.i	26208k	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$2184$	$48$	$0$	$11.64330932$	$1$		$5$	$24576$	$0.867235$	$1018108216/599781$	$0.94127$	$3.29976$	$[0, 0, 0, 1509, 3026]$	\(y^2=x^3+1509x+3026\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$	$[(34, 306), (14, 164)]$
26208.r4	26208bq2	26208.r	26208bq	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$24576$	$0.867235$	$1018108216/599781$	$0.94127$	$3.29976$	$[0, 0, 0, 1509, -3026]$	\(y^2=x^3+1509x-3026\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 168.24.0.?, $\ldots$	$[ ]$
52416.fe4	52416ca3	52416.fe	52416ca	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 7 \cdot 13^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2184$	$48$	$0$	$4.299341195$	$1$		$7$	$98304$	$1.213808$	$1018108216/599781$	$0.94127$	$3.47200$	$[0, 0, 0, 6036, 24208]$	\(y^2=x^3+6036x+24208\)	2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$	$[(96, 1220)]$
52416.fi4	52416db3	52416.fi	52416db	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$98304$	$1.213808$	$1018108216/599781$	$0.94127$	$3.47200$	$[0, 0, 0, 6036, -24208]$	\(y^2=x^3+6036x-24208\)	2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$	$[ ]$
61152.d4	61152m2	61152.d	61152m	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 7^{7} \cdot 13^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2184$	$48$	$0$	$4.021214062$	$1$		$5$	$147456$	$1.290884$	$1018108216/599781$	$0.94127$	$3.50736$	$[0, -1, 0, 8216, -41180]$	\(y^2=x^3-x^2+8216x-41180\)	2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$	$[(681, 17914)]$
61152.bl4	61152ce2	61152.bl	61152ce	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 7^{7} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2184$	$48$	$0$	$9.654035142$	$1$		$1$	$147456$	$1.290884$	$1018108216/599781$	$0.94127$	$3.50736$	$[0, 1, 0, 8216, 41180]$	\(y^2=x^3+x^2+8216x+41180\)	2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$	$[(9301/10, 1272249/10)]$
113568.i4	113568u2	113568.i	113568u	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{9} \cdot 3 \cdot 7 \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2184$	$48$	$0$	$1$	$4$	$2$	$1$	$516096$	$1.600403$	$1018108216/599781$	$0.94127$	$3.63992$	$[0, -1, 0, 28336, -255672]$	\(y^2=x^3-x^2+28336x-255672\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 312.24.0.?, $\ldots$	$[ ]$
113568.bx4	113568co2	113568.bx	113568co	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{9} \cdot 3 \cdot 7 \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2184$	$48$	$0$	$11.31311256$	$1$		$1$	$516096$	$1.600403$	$1018108216/599781$	$0.94127$	$3.63992$	$[0, 1, 0, 28336, 255672]$	\(y^2=x^3+x^2+28336x+255672\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 312.24.0.?, $\ldots$	$[(-4131/22, 1226685/22)]$
122304.db4	122304w3	122304.db	122304w	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 7^{7} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$2184$	$48$	$0$	$1$	$4$	$2$	$1$	$589824$	$1.637457$	$1018108216/599781$	$0.94127$	$3.65485$	$[0, -1, 0, 32863, 296577]$	\(y^2=x^3-x^2+32863x+296577\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 168.24.0.?, $\ldots$	$[ ]$
122304.hz4	122304dg3	122304.hz	122304dg	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 7^{7} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$2184$	$48$	$0$	$10.29214933$	$1$		$1$	$589824$	$1.637457$	$1018108216/599781$	$0.94127$	$3.65485$	$[0, 1, 0, 32863, -296577]$	\(y^2=x^3+x^2+32863x-296577\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$	$[(46786/45, 62840791/45)]$
183456.cz4	183456di3	183456.cz	183456di	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{7} \cdot 7^{7} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.840189$	$1018108216/599781$	$0.94127$	$3.73331$	$[0, 0, 0, 73941, -1037918]$	\(y^2=x^3+73941x-1037918\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[ ]$
183456.dp4	183456bm3	183456.dp	183456bm	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{7} \cdot 7^{7} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$2.732249144$	$1$		$3$	$1179648$	$1.840189$	$1018108216/599781$	$0.94127$	$3.73331$	$[0, 0, 0, 73941, 1037918]$	\(y^2=x^3+73941x+1037918\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[(2261, 108290)]$
218400.g4	218400by3	218400.g	218400by	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$3.314854916$	$1$		$3$	$393216$	$1.122648$	$1018108216/599781$	$0.94127$	$2.97998$	$[0, -1, 0, 4192, 12612]$	\(y^2=x^3-x^2+4192x+12612\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$	$[(97, 1150)]$
218400.fo4	218400di3	218400.fo	218400di	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$4$	$2$	$1$	$393216$	$1.122648$	$1018108216/599781$	$0.94127$	$2.97998$	$[0, 1, 0, 4192, -12612]$	\(y^2=x^3+x^2+4192x-12612\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$	$[ ]$
227136.de4	227136ix3	227136.de	227136ix	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{15} \cdot 3 \cdot 7 \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$2184$	$48$	$0$	$5.854361412$	$1$		$3$	$2064384$	$1.946978$	$1018108216/599781$	$0.94127$	$3.77256$	$[0, -1, 0, 113343, 1932033]$	\(y^2=x^3-x^2+113343x+1932033\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 156.12.0.?, 168.24.0.?, $\ldots$	$[(8, 1685)]$
227136.iu4	227136gl4	227136.iu	227136gl	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{15} \cdot 3 \cdot 7 \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$2184$	$48$	$0$	$17.59996036$	$1$		$1$	$2064384$	$1.946978$	$1018108216/599781$	$0.94127$	$3.77256$	$[0, 1, 0, 113343, -1932033]$	\(y^2=x^3+x^2+113343x-1932033\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 156.12.0.?, 168.24.0.?, $\ldots$	$[(8924554/345, 108594849817/345)]$
340704.dq4	340704dq3	340704.dq	340704dq	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$1$		$1$	$4128768$	$2.149708$	$1018108216/599781$	$0.94127$	$3.84346$	$[0, 0, 0, 255021, -6648122]$	\(y^2=x^3+255021x-6648122\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.6, 104.12.0.?, $\ldots$	$[ ]$
340704.el4	340704el3	340704.el	340704el	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$1$	$16$	$2$	$1$	$4128768$	$2.149708$	$1018108216/599781$	$0.94127$	$3.84346$	$[0, 0, 0, 255021, 6648122]$	\(y^2=x^3+255021x+6648122\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.6, 104.12.0.?, $\ldots$	$[ ]$
366912.ct4	366912ct3	366912.ct	366912ct	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 7^{7} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$0.969993062$	$1$		$9$	$4718592$	$2.186764$	$1018108216/599781$	$0.94127$	$3.85593$	$[0, 0, 0, 295764, 8303344]$	\(y^2=x^3+295764x+8303344\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 28.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[(14, 3528)]$
366912.ep4	366912ep4	366912.ep	366912ep	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 7^{7} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2184$	$48$	$0$	$5.406449102$	$1$		$3$	$4718592$	$2.186764$	$1018108216/599781$	$0.94127$	$3.85593$	$[0, 0, 0, 295764, -8303344]$	\(y^2=x^3+295764x-8303344\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 28.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[(1253, 48265)]$
436800.ge4	436800ge4	436800.ge	436800ge	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$10.58289907$	$1$		$9$	$1572864$	$1.469221$	$1018108216/599781$	$0.94127$	$3.14117$	$[0, -1, 0, 16767, -117663]$	\(y^2=x^3-x^2+16767x-117663\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 168.12.0.?, 280.12.0.?, $\ldots$	$[(176, 2873), (407, 8600)]$
436800.of4	436800of3	436800.of	436800of	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$10920$	$48$	$0$	$1$	$4$	$2$	$1$	$1572864$	$1.469221$	$1018108216/599781$	$0.94127$	$3.14117$	$[0, 1, 0, 16767, 117663]$	\(y^2=x^3+x^2+16767x+117663\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 168.12.0.?, 280.12.0.?, $\ldots$	$[ ]$

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