Elliptic curve search results

Results (10 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
6690.a1	6690a3	6690.a	6690a	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 223 \)	\( 2^{9} \cdot 3^{36} \cdot 5^{3} \cdot 223 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$26760$	$48$	$0$	$58.32651116$	$1$		$0$	$1384128$	$3.442421$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$7.53367$		$[1, 1, 0, -84188593, 288828342613]$	\(y^2+xy=x^3+x^2-84188593x+288828342613\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 4460.12.0.?, $\ldots$	$[(21527855105431457392508849/41272092227, 77957469600200836434977166129705705319/41272092227)]$	$1$
20070.be1	20070bg3	20070.be	20070bg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 223 \)	\( 2^{9} \cdot 3^{42} \cdot 5^{3} \cdot 223 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$26760$	$48$	$0$	$1$	$4$	$2$	$0$	$11073024$	$3.991726$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$7.36359$		$[1, -1, 1, -757697342, -7799122947891]$	\(y^2+xy+y=x^3-x^2-757697342x-7799122947891\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 8920.24.0.?, $\ldots$	$[ ]$	$1$
33450.bc1	33450y4	33450.bc	33450y	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 223 \)	\( 2^{9} \cdot 3^{36} \cdot 5^{9} \cdot 223 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26760$	$48$	$0$	$1$	$1$		$0$	$33219072$	$4.247139$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$7.29673$		$[1, 0, 0, -2104714838, 36107752256292]$	\(y^2+xy=x^3-2104714838x+36107752256292\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[ ]$	$1$
53520.q1	53520u4	53520.q	53520u	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 223 \)	\( 2^{21} \cdot 3^{36} \cdot 5^{3} \cdot 223 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$26760$	$48$	$0$	$1$	$1$		$1$	$33219072$	$4.135567$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$6.85878$		$[0, 1, 0, -1347017496, -18487707962220]$	\(y^2=x^3+x^2-1347017496x-18487707962220\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.8, 4460.12.0.?, $\ldots$	$[ ]$	$1$
100350.o1	100350ba4	100350.o	100350ba	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 223 \)	\( 2^{9} \cdot 3^{42} \cdot 5^{9} \cdot 223 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26760$	$48$	$0$	$86.27935179$	$1$		$0$	$265752576$	$4.796448$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$7.17303$		$[1, -1, 0, -18942433542, -974909310919884]$	\(y^2+xy=x^3-x^2-18942433542x-974909310919884\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(-31380382846972113000032106564859902665/20305286347504711, 42933165192226302284750155113451421880452714078130609104/20305286347504711)]$	$1$
160560.bt1	160560h3	160560.bt	160560h	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 223 \)	\( 2^{21} \cdot 3^{42} \cdot 5^{3} \cdot 223 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$26760$	$48$	$0$	$63.92443106$	$1$		$1$	$265752576$	$4.684875$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$6.78007$		$[0, 0, 0, -12123157467, 499155991822474]$	\(y^2=x^3-12123157467x+499155991822474\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.6, 8920.24.0.?, $\ldots$	$[(33809412633879860055646151967/567487987, 6216650311296667534575519904023193075437710/567487987)]$	$1$
214080.be1	214080v4	214080.be	214080v	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 223 \)	\( 2^{27} \cdot 3^{36} \cdot 5^{3} \cdot 223 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$26760$	$48$	$0$	$1$	$36$	$2, 3$	$1$	$265752576$	$4.482140$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$6.42295$		$[0, -1, 0, -5388069985, -147896275627775]$	\(y^2=x^3-x^2-5388069985x-147896275627775\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 8920.24.0.?, 26760.48.0.?	$[ ]$	$1$
214080.cj1	214080bl3	214080.cj	214080bl	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 223 \)	\( 2^{27} \cdot 3^{36} \cdot 5^{3} \cdot 223 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$26760$	$48$	$0$	$14.38605933$	$1$		$3$	$265752576$	$4.482140$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$6.42295$		$[0, 1, 0, -5388069985, 147896275627775]$	\(y^2=x^3+x^2-5388069985x+147896275627775\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 8920.24.0.?, 26760.48.0.?	$[(81419405/23, 662474161980/23)]$	$1$
267600.o1	267600o4	267600.o	267600o	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 223 \)	\( 2^{21} \cdot 3^{36} \cdot 5^{9} \cdot 223 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26760$	$48$	$0$	$1$	$100$	$2, 5$	$1$	$797257728$	$4.940285$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$6.74818$		$[0, -1, 0, -33675437408, -2310896144402688]$	\(y^2=x^3-x^2-33675437408x-2310896144402688\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[ ]$	$1$
327810.bj1	327810bj4	327810.bj	327810bj	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 223 \)	\( 2^{9} \cdot 3^{36} \cdot 5^{3} \cdot 7^{6} \cdot 223 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$187320$	$48$	$0$	$4.726184426$	$1$		$2$	$531505152$	$4.415375$	$65990812340278189764070806169/2142150634958771454912000$	$1.03559$	$6.14438$		$[1, 0, 1, -4125241083, -99080497239482]$	\(y^2+xy+y=x^3-4125241083x-99080497239482\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.1, 168.24.0.?, $\ldots$	$[(77984, 7273890)]$	$1$

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