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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio	Manin constant

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Results (20 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
4290.o2	4290p1	4290.o	4290p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 $	$ - 2^{6} \cdot 3^{5} \cdot 5^{4} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$3432$	$12$	$0$	$0.150015539$	$1$	$15$	$3840$	$0.660420$	$-32894113444921/15289560000$	$1.07840$	$3.79169$	$[1, 0, 1, -668, 8858]$	$y^2+xy+y=x^3-668x+8858$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(9, 55)]$
12870.bk2	12870bn1	12870.bk	12870bn	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 $	$ - 2^{6} \cdot 3^{11} \cdot 5^{4} \cdot 11^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$	$1$	$30720$	$1.209726$	$-32894113444921/15289560000$	$1.07840$	$4.04808$	$[1, -1, 1, -6008, -239173]$	$y^2+xy+y=x^3-x^2-6008x-239173$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[ ]$
21450.bw2	21450bs1	21450.bw	21450bs	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 $	$ - 2^{6} \cdot 3^{5} \cdot 5^{10} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1.113441418$	$1$	$7$	$92160$	$1.465139$	$-32894113444921/15289560000$	$1.07840$	$4.14805$	$[1, 1, 1, -16688, 1107281]$	$y^2+xy+y=x^3+x^2-16688x+1107281$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(65, 517)]$
34320.t2	34320bi1	34320.t	34320bi	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 $	$ - 2^{18} \cdot 3^{5} \cdot 5^{4} \cdot 11^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$	$1$	$92160$	$1.353567$	$-32894113444921/15289560000$	$1.07840$	$3.83317$	$[0, -1, 0, -10680, -566928]$	$y^2=x^3-x^2-10680x-566928$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[ ]$
47190.cv2	47190ct1	47190.cv	47190ct	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{5} \cdot 5^{4} \cdot 11^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$0.752466583$	$1$	$9$	$460800$	$1.859367$	$-32894113444921/15289560000$	$1.07840$	$4.28373$	$[1, 0, 0, -80770, -11871100]$	$y^2+xy=x^3-80770x-11871100$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(560, 10610)]$
55770.cr2	55770cm1	55770.cr	55770cm	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{5} \cdot 5^{4} \cdot 11^{2} \cdot 13^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$0.277045961$	$1$	$11$	$645120$	$1.942896$	$-32894113444921/15289560000$	$1.07840$	$4.30997$	$[1, 0, 0, -112811, 19574385]$	$y^2+xy=x^3-112811x+19574385$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(898, 24901)]$
64350.bb2	64350v1	64350.bb	64350v	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 $	$ - 2^{6} \cdot 3^{11} \cdot 5^{10} \cdot 11^{2} \cdot 13 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$4.081660425$	$1$	$17$	$737280$	$2.014446$	$-32894113444921/15289560000$	$1.07840$	$4.33181$	$[1, -1, 0, -150192, -30046784]$	$y^2+xy=x^3-x^2-150192x-30046784$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(629, 10823), (1520, 56264)]$
102960.bn2	102960du1	102960.bn	102960du	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 $	$ - 2^{18} \cdot 3^{11} \cdot 5^{4} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1.245597415$	$1$	$7$	$737280$	$1.902874$	$-32894113444921/15289560000$	$1.07840$	$4.03941$	$[0, 0, 0, -96123, 15403178]$	$y^2=x^3-96123x+15403178$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(-179, 5184)]$
137280.m2	137280gz1	137280.m	137280gz	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 $	$ - 2^{24} \cdot 3^{5} \cdot 5^{4} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$2.371719793$	$1$	$5$	$737280$	$1.700142$	$-32894113444921/15289560000$	$1.07840$	$3.73553$	$[0, -1, 0, -42721, 4578145]$	$y^2=x^3-x^2-42721x+4578145$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(9, 2048)]$
137280.ex2	137280bf1	137280.ex	137280bf	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 $	$ - 2^{24} \cdot 3^{5} \cdot 5^{4} \cdot 11^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$	$1$	$737280$	$1.700142$	$-32894113444921/15289560000$	$1.07840$	$3.73553$	$[0, 1, 0, -42721, -4578145]$	$y^2=x^3+x^2-42721x-4578145$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[ ]$
141570.n2	141570dx1	141570.n	141570dx	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{11} \cdot 5^{4} \cdot 11^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$2.503687979$	$1$	$5$	$3686400$	$2.408672$	$-32894113444921/15289560000$	$1.07840$	$4.44270$	$[1, -1, 0, -726930, 320519700]$	$y^2+xy=x^3-x^2-726930x+320519700$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(-228, 21894)]$
167310.cb2	167310dk1	167310.cb	167310dk	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{11} \cdot 5^{4} \cdot 11^{2} \cdot 13^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$	$1$	$5160960$	$2.492203$	$-32894113444921/15289560000$	$1.07840$	$4.46433$	$[1, -1, 0, -1015299, -528508395]$	$y^2+xy=x^3-x^2-1015299x-528508395$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[ ]$
171600.fs2	171600bw1	171600.fs	171600bw	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 $	$ - 2^{18} \cdot 3^{5} \cdot 5^{10} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$2.288244472$	$1$	$5$	$2211840$	$2.158287$	$-32894113444921/15289560000$	$1.07840$	$4.12251$	$[0, 1, 0, -267008, -71400012]$	$y^2=x^3+x^2-267008x-71400012$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(868, 18750)]$
210210.l2	210210fh1	210210.l	210210fh	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 $	$ - 2^{6} \cdot 3^{5} \cdot 5^{4} \cdot 7^{6} \cdot 11^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$6.453918619$	$1$	$3$	$1474560$	$1.633375$	$-32894113444921/15289560000$	$1.07840$	$3.54029$	$[1, 1, 0, -32708, -3071088]$	$y^2+xy=x^3+x^2-32708x-3071088$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(5848, 444116)]$
235950.bc2	235950bc1	235950.bc	235950bc	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{5} \cdot 5^{10} \cdot 11^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$9.610275507$	$1$	$1$	$11059200$	$2.664085$	$-32894113444921/15289560000$	$1.07840$	$4.50701$	$[1, 1, 0, -2019250, -1483887500]$	$y^2+xy=x^3+x^2-2019250x-1483887500$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(566595/17, 220209155/17)]$
278850.ba2	278850ba1	278850.ba	278850ba	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{5} \cdot 5^{10} \cdot 11^{2} \cdot 13^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$4.398206290$	$1$	$1$	$15482880$	$2.747616$	$-32894113444921/15289560000$	$1.07840$	$4.52690$	$[1, 1, 0, -2820275, 2446798125]$	$y^2+xy=x^3+x^2-2820275x+2446798125$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(4335/2, 201915/2)]$
377520.co2	377520co1	377520.co	377520co	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 $	$ - 2^{18} \cdot 3^{5} \cdot 5^{4} \cdot 11^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$	$1$	$11059200$	$2.552517$	$-32894113444921/15289560000$	$1.07840$	$4.23779$	$[0, -1, 0, -1292320, 759750400]$	$y^2=x^3-x^2-1292320x+759750400$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[ ]$
411840.jv2	411840jv1	411840.jv	411840jv	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 $	$ - 2^{24} \cdot 3^{11} \cdot 5^{4} \cdot 11^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$	$1$	$5898240$	$2.249447$	$-32894113444921/15289560000$	$1.07840$	$3.92796$	$[0, 0, 0, -384492, 123225424]$	$y^2=x^3-384492x+123225424$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[ ]$
411840.ks2	411840ks1	411840.ks	411840ks	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 $	$ - 2^{24} \cdot 3^{11} \cdot 5^{4} \cdot 11^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$1$	$1$	$1$	$5898240$	$2.249447$	$-32894113444921/15289560000$	$1.07840$	$3.92796$	$[0, 0, 0, -384492, -123225424]$	$y^2=x^3-384492x-123225424$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[ ]$
446160.bc2	446160bc1	446160.bc	446160bc	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} $	$ - 2^{18} \cdot 3^{5} \cdot 5^{4} \cdot 11^{2} \cdot 13^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	2.3.0.1	2B	$3432$	$12$	$0$	$4.402613398$	$1$	$3$	$15482880$	$2.636044$	$-32894113444921/15289560000$	$1.07840$	$4.26042$	$[0, -1, 0, -1804976, -1252760640]$	$y^2=x^3-x^2-1804976x-1252760640$	2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?	$[(74824, 20463872)]$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search