Elliptic curve search results

Results (28 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
7392.c1	7392k2	7392.c	7392k	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.102	2B	$88$	$48$	$0$	$5.018506299$	$1$		$3$	$10240$	$1.071024$	$29925549856274696/4851$	$0.99558$	$4.95903$	$[0, -1, 0, -51744, -4513212]$	\(y^2=x^3-x^2-51744x-4513212\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 44.12.0-4.c.1.2, 88.48.0.?	$[(269, 980)]$
7392.h1	7392e3	7392.h	7392e	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.104	2B	$88$	$48$	$0$	$2.944972789$	$1$		$3$	$10240$	$1.071024$	$29925549856274696/4851$	$0.99558$	$4.95903$	$[0, 1, 0, -51744, 4513212]$	\(y^2=x^3+x^2-51744x+4513212\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 44.12.0-4.c.1.1, 88.48.0.?	$[(147, 324)]$
14784.x1	14784c3	14784.x	14784c	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.53	2B	$88$	$48$	$0$	$4.330670544$	$1$		$5$	$40960$	$1.417597$	$29925549856274696/4851$	$0.99558$	$5.03418$	$[0, -1, 0, -206977, 36312673]$	\(y^2=x^3-x^2-206977x+36312673\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 88.48.0.?	$[(363, 2980)]$
14784.ck1	14784bl3	14784.ck	14784bl	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.63	2B	$88$	$48$	$0$	$1$	$4$	$2$	$1$	$40960$	$1.417597$	$29925549856274696/4851$	$0.99558$	$5.03418$	$[0, 1, 0, -206977, -36312673]$	\(y^2=x^3+x^2-206977x-36312673\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 88.48.0.?	$[ ]$
22176.r1	22176k4	22176.r	22176k	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{8} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$264$	$48$	$0$	$15.69008161$	$1$		$1$	$81920$	$1.620329$	$29925549856274696/4851$	$0.99558$	$5.07332$	$[0, 0, 0, -465699, -122322422]$	\(y^2=x^3-465699x-122322422\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 88.24.0.?, $\ldots$	$[(17889434/65, 74613993498/65)]$
22176.w1	22176i4	22176.w	22176i	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{8} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$1$		$1$	$81920$	$1.620329$	$29925549856274696/4851$	$0.99558$	$5.07332$	$[0, 0, 0, -465699, 122322422]$	\(y^2=x^3-465699x+122322422\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 88.24.0.?, $\ldots$	$[ ]$
44352.bf1	44352bp4	44352.bf	44352bp	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{8} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$264$	$48$	$0$	$8.091624304$	$1$		$1$	$327680$	$1.966902$	$29925549856274696/4851$	$0.99558$	$5.13335$	$[0, 0, 0, -1862796, -978579376]$	\(y^2=x^3-1862796x-978579376\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.8, $\ldots$	$[(6649/2, 182061/2)]$
44352.bm1	44352cd4	44352.bm	44352cd	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{8} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$264$	$48$	$0$	$1.875591516$	$1$		$5$	$327680$	$1.966902$	$29925549856274696/4851$	$0.99558$	$5.13335$	$[0, 0, 0, -1862796, 978579376]$	\(y^2=x^3-1862796x+978579376\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.6, $\ldots$	$[(789, 49)]$
51744.bb1	51744v4	51744.bb	51744v	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{2} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$616$	$48$	$0$	$25.75709238$	$1$		$1$	$491520$	$2.043980$	$29925549856274696/4851$	$0.99558$	$5.14566$	$[0, -1, 0, -2535472, -1553102648]$	\(y^2=x^3-x^2-2535472x-1553102648\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 56.24.0-8.m.1.2, 88.24.0.?, $\ldots$	$[(108166553481/7025, 20257358743111496/7025)]$
51744.cg1	51744ci4	51744.cg	51744ci	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{2} \cdot 7^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$616$	$48$	$0$	$1$	$1$		$1$	$491520$	$2.043980$	$29925549856274696/4851$	$0.99558$	$5.14566$	$[0, 1, 0, -2535472, 1553102648]$	\(y^2=x^3+x^2-2535472x+1553102648\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 56.24.0-8.m.1.1, 88.24.0.?, $\ldots$	$[ ]$
81312.d1	81312d4	81312.d	81312d	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{2} \cdot 7^{2} \cdot 11^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.54	2B	$88$	$48$	$0$	$1$	$1$		$3$	$1228800$	$2.269970$	$29925549856274696/4851$	$0.99558$	$5.17981$	$[0, -1, 0, -6261064, 6032129380]$	\(y^2=x^3-x^2-6261064x+6032129380\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 88.48.0.?	$[ ]$
81312.bf1	81312bv4	81312.bf	81312bv	$4$	$4$	\( 2^{5} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{2} \cdot 7^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.64	2B	$88$	$48$	$0$	$9.200289907$	$4$	$2$	$3$	$1228800$	$2.269970$	$29925549856274696/4851$	$0.99558$	$5.17981$	$[0, 1, 0, -6261064, -6032129380]$	\(y^2=x^3+x^2-6261064x-6032129380\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 88.48.0.?	$[(107455, 35214630)]$
103488.bk1	103488ca4	103488.bk	103488ca	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{2} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$616$	$48$	$0$	$1.501175024$	$1$		$3$	$1966080$	$2.390553$	$29925549856274696/4851$	$0.99558$	$5.19694$	$[0, -1, 0, -10141889, 12434963073]$	\(y^2=x^3-x^2-10141889x+12434963073\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 28.12.0-4.c.1.1, 56.24.0-8.m.1.4, $\ldots$	$[(1727, 8232)]$
103488.fm1	103488dh4	103488.fm	103488dh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{2} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$616$	$48$	$0$	$10.28332650$	$1$		$3$	$1966080$	$2.390553$	$29925549856274696/4851$	$0.99558$	$5.19694$	$[0, 1, 0, -10141889, -12434963073]$	\(y^2=x^3+x^2-10141889x-12434963073\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 28.12.0-4.c.1.2, 56.24.0-8.m.1.3, $\ldots$	$[(27402, 4503969)]$
155232.r1	155232q2	155232.r	155232q	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{8} \cdot 7^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$3932160$	$2.593285$	$29925549856274696/4851$	$0.99558$	$5.22418$	$[0, 0, 0, -22819251, 41956590746]$	\(y^2=x^3-22819251x+41956590746\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 88.24.0.?, 168.24.0.?, $\ldots$	$[ ]$
155232.bi1	155232dd4	155232.bi	155232dd	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{9} \cdot 3^{8} \cdot 7^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$3932160$	$2.593285$	$29925549856274696/4851$	$0.99558$	$5.22418$	$[0, 0, 0, -22819251, -41956590746]$	\(y^2=x^3-22819251x-41956590746\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 88.24.0.?, 168.24.0.?, $\ldots$	$[ ]$
162624.dm1	162624io4	162624.dm	162624io	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{15} \cdot 3^{2} \cdot 7^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.110	2B	$88$	$48$	$0$	$13.97726394$	$1$		$1$	$4915200$	$2.616543$	$29925549856274696/4851$	$0.99558$	$5.22719$	$[0, -1, 0, -25044257, -48231990783]$	\(y^2=x^3-x^2-25044257x-48231990783\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.4, 44.12.0-4.c.1.2, 88.48.0.?	$[(56219959/65, 385887426848/65)]$
162624.hw1	162624gf3	162624.hw	162624gf	$4$	$4$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{15} \cdot 3^{2} \cdot 7^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.114	2B	$88$	$48$	$0$	$8.423303834$	$1$		$1$	$4915200$	$2.616543$	$29925549856274696/4851$	$0.99558$	$5.22719$	$[0, 1, 0, -25044257, 48231990783]$	\(y^2=x^3+x^2-25044257x+48231990783\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.2, 44.12.0-4.c.1.1, 88.48.0.?	$[(489841/13, 1943280/13)]$
184800.cw1	184800cn2	184800.cw	184800cn	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$440$	$48$	$0$	$8.911697381$	$1$		$7$	$1310720$	$1.875742$	$29925549856274696/4851$	$0.99558$	$4.43905$	$[0, -1, 0, -1293608, 566738712]$	\(y^2=x^3-x^2-1293608x+566738712\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 88.24.0.?, $\ldots$	$[(757, 4550), (661, 178)]$
184800.du1	184800fm4	184800.du	184800fm	$4$	$4$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{9} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$440$	$48$	$0$	$1$	$4$	$2$	$1$	$1310720$	$1.875742$	$29925549856274696/4851$	$0.99558$	$4.43905$	$[0, 1, 0, -1293608, -566738712]$	\(y^2=x^3+x^2-1293608x-566738712\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.2, 88.24.0.?, $\ldots$	$[ ]$
243936.cu1	243936cu4	243936.cu	243936cu	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{8} \cdot 7^{2} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$4$	$2$	$1$	$9830400$	$2.819275$	$29925549856274696/4851$	$0.99558$	$5.25245$	$[0, 0, 0, -56349579, -162811143682]$	\(y^2=x^3-56349579x-162811143682\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.1, $\ldots$	$[ ]$
243936.dd1	243936dd2	243936.dd	243936dd	$4$	$4$	\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{9} \cdot 3^{8} \cdot 7^{2} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$1$		$1$	$9830400$	$2.819275$	$29925549856274696/4851$	$0.99558$	$5.25245$	$[0, 0, 0, -56349579, 162811143682]$	\(y^2=x^3-56349579x+162811143682\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.3, $\ldots$	$[ ]$
310464.nr1	310464nr4	310464.nr	310464nr	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{8} \cdot 7^{8} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$1848$	$48$	$0$	$27.53526639$	$1$		$1$	$15728640$	$2.939857$	$29925549856274696/4851$	$0.99558$	$5.26671$	$[0, 0, 0, -91277004, -335652725968]$	\(y^2=x^3-91277004x-335652725968\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 84.12.0.?, 88.24.0.?, $\ldots$	$[(5971880860981/8397, 14496540361220134945/8397)]$
310464.pj1	310464pj3	310464.pj	310464pj	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{15} \cdot 3^{8} \cdot 7^{8} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$1848$	$48$	$0$	$1$	$1$		$1$	$15728640$	$2.939857$	$29925549856274696/4851$	$0.99558$	$5.26671$	$[0, 0, 0, -91277004, 335652725968]$	\(y^2=x^3-91277004x+335652725968\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 84.12.0.?, 88.24.0.?, $\ldots$	$[ ]$
369600.fd1	369600fd4	369600.fd	369600fd	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$440$	$48$	$0$	$1$	$4$	$2$	$1$	$5242880$	$2.222317$	$29925549856274696/4851$	$0.99558$	$4.52344$	$[0, -1, 0, -5174433, -4528735263]$	\(y^2=x^3-x^2-5174433x-4528735263\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$	$[ ]$
369600.sx1	369600sx3	369600.sx	369600sx	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{15} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$440$	$48$	$0$	$1.499870176$	$4$	$2$	$7$	$5242880$	$2.222317$	$29925549856274696/4851$	$0.99558$	$4.52344$	$[0, 1, 0, -5174433, 4528735263]$	\(y^2=x^3+x^2-5174433x+4528735263\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 40.24.0-8.m.1.1, $\ldots$	$[(1317, 252)]$
487872.dv1	487872dv4	487872.dv	487872dv	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{15} \cdot 3^{8} \cdot 7^{2} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$264$	$48$	$0$	$5.793247505$	$1$		$3$	$39321600$	$3.165852$	$29925549856274696/4851$	$0.99558$	$5.29201$	$[0, 0, 0, -225398316, -1302489149456]$	\(y^2=x^3-225398316x-1302489149456\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.4, 88.24.0.?, $\ldots$	$[(172040, 71076852)]$
487872.et1	487872et3	487872.et	487872et	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{15} \cdot 3^{8} \cdot 7^{2} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$1$		$1$	$39321600$	$3.165852$	$29925549856274696/4851$	$0.99558$	$5.29201$	$[0, 0, 0, -225398316, 1302489149456]$	\(y^2=x^3-225398316x+1302489149456\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.2, 88.24.0.?, $\ldots$	$[ ]$

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