Elliptic curve search results

Results (17 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
5610.b2	5610d1	5610.b	5610d	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2040$	$12$	$0$	$0.603718284$	$1$		$7$	$1024$	$-0.100117$	$2053225511/2098140$	$0.83478$	$2.48400$	$[1, 1, 0, 27, 57]$	\(y^2+xy=x^3+x^2+27x+57\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(-1, 6)]$
16830.cd2	16830ck1	16830.cd	16830ck	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{7} \cdot 5 \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$8192$	$0.449190$	$2053225511/2098140$	$0.83478$	$2.88096$	$[1, -1, 1, 238, -1299]$	\(y^2+xy+y=x^3-x^2+238x-1299\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[]$
28050.dn2	28050dg1	28050.dn	28050dg	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3 \cdot 5^{7} \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$24576$	$0.704602$	$2053225511/2098140$	$0.83478$	$3.03652$	$[1, 0, 0, 662, 5792]$	\(y^2+xy=x^3+662x+5792\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[]$
44880.cc2	44880cc1	44880.cc	44880cc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$24576$	$0.593031$	$2053225511/2098140$	$0.83478$	$2.77830$	$[0, 1, 0, 424, -2796]$	\(y^2=x^3+x^2+424x-2796\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[]$
61710.bs2	61710bo1	61710.bs	61710bo	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3 \cdot 5 \cdot 11^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$9.547264275$	$1$		$1$	$122880$	$1.098831$	$2053225511/2098140$	$0.83478$	$3.24836$	$[1, 1, 1, 3204, -59751]$	\(y^2+xy+y=x^3+x^2+3204x-59751\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(49113/29, 13303251/29)]$
84150.co2	84150bp1	84150.co	84150bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{7} \cdot 5^{7} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$0.860833251$	$1$		$9$	$196608$	$1.253908$	$2053225511/2098140$	$0.83478$	$3.32362$	$[1, -1, 0, 5958, -156384]$	\(y^2+xy=x^3-x^2+5958x-156384\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(75, 804)]$
95370.bp2	95370bj1	95370.bp	95370bj	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$4.406186480$	$1$		$1$	$294912$	$1.316490$	$2053225511/2098140$	$0.83478$	$3.35283$	$[1, 0, 1, 7652, 226118]$	\(y^2+xy+y=x^3+7652x+226118\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(1423/3, 60565/3)]$
134640.fd2	134640be1	134640.fd	134640be	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{7} \cdot 5 \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1.086465455$	$1$		$7$	$196608$	$1.142336$	$2053225511/2098140$	$0.83478$	$3.07799$	$[0, 0, 0, 3813, 79306]$	\(y^2=x^3+3813x+79306\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(15, 374)]$
179520.dy2	179520da1	179520.dy	179520da	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{20} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$4.033669363$	$1$		$3$	$196608$	$0.939604$	$2053225511/2098140$	$0.83478$	$2.80370$	$[0, -1, 0, 1695, -24063]$	\(y^2=x^3-x^2+1695x-24063\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(53/2, 187/2)]$
179520.gp2	179520ep1	179520.gp	179520ep	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{20} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$196608$	$0.939604$	$2053225511/2098140$	$0.83478$	$2.80370$	$[0, 1, 0, 1695, 24063]$	\(y^2=x^3+x^2+1695x+24063\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[]$
185130.cq2	185130dn1	185130.cq	185130dn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3^{7} \cdot 5 \cdot 11^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$5.940731361$	$1$		$3$	$983040$	$1.648138$	$2053225511/2098140$	$0.83478$	$3.49760$	$[1, -1, 0, 28836, 1642108]$	\(y^2+xy=x^3-x^2+28836x+1642108\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(2124, 97130)]$
224400.bi2	224400ev1	224400.bi	224400ev	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3 \cdot 5^{7} \cdot 11^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$2.197297542$	$1$		$15$	$589824$	$1.397749$	$2053225511/2098140$	$0.83478$	$3.19913$	$[0, -1, 0, 10592, -370688]$	\(y^2=x^3-x^2+10592x-370688\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(122, 1650), (672, 17600)]$
274890.cx2	274890cx1	274890.cx	274890cx	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$3.526475707$	$1$		$3$	$368640$	$0.872838$	$2053225511/2098140$	$0.83478$	$2.64435$	$[1, 0, 1, 1297, -15634]$	\(y^2+xy+y=x^3+1297x-15634\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(92, 894)]$
286110.ez2	286110ez1	286110.ez	286110ez	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{7} \cdot 5 \cdot 11^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$2359296$	$1.865797$	$2053225511/2098140$	$0.83478$	$3.58430$	$[1, -1, 1, 68872, -6105193]$	\(y^2+xy+y=x^3-x^2+68872x-6105193\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[]$
308550.do2	308550do1	308550.do	308550do	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3 \cdot 5^{7} \cdot 11^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$2949120$	$1.903549$	$2053225511/2098140$	$0.83478$	$3.59873$	$[1, 0, 1, 80099, -7629052]$	\(y^2+xy+y=x^3+80099x-7629052\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[]$
476850.gj2	476850gj1	476850.gj	476850gj	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3 \cdot 5^{7} \cdot 11^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$7077888$	$2.121208$	$2053225511/2098140$	$0.83478$	$3.67868$	$[1, 1, 1, 191312, 28264781]$	\(y^2+xy+y=x^3+x^2+191312x+28264781\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[]$
493680.eg2	493680eg1	493680.eg	493680eg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{14} \cdot 3 \cdot 5 \cdot 11^{8} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$17.69317794$	$1$		$5$	$2949120$	$1.791979$	$2053225511/2098140$	$0.83478$	$3.36758$	$[0, 1, 0, 51264, 3926580]$	\(y^2=x^3+x^2+51264x+3926580\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(236, 5406), (1019, 33396)]$

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