Elliptic curve search results

Results (17 matches)

 

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.o4	5610n1	5610.o	5610n	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$4488$	$96$	$1$	$1.302586918$	$1$		$13$	$11520$	$1.001381$	$726497538898787209/1038579300$	$0.95856$	$4.76431$	$[1, 0, 1, -18729, 984952]$	\(y^2+xy+y=x^3-18729x+984952\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 66.48.0-66.b.1.4, 136.6.0.?, $\ldots$	$[(71, 84)]$
16830.cu4	16830cp1	16830.cu	16830cp	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$4488$	$96$	$1$	$9.009001253$	$1$		$1$	$92160$	$1.550688$	$726497538898787209/1038579300$	$0.95856$	$4.90382$	$[1, -1, 1, -168557, -26593711]$	\(y^2+xy+y=x^3-x^2-168557x-26593711\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 66.48.0-66.b.1.3, 136.6.0.?, $\ldots$	$[(87427/9, 23206294/9)]$
28050.cf4	28050cj1	28050.cf	28050cj	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$276480$	$1.806101$	$726497538898787209/1038579300$	$0.95856$	$4.95850$	$[1, 1, 1, -468213, 123119031]$	\(y^2+xy+y=x^3+x^2-468213x+123119031\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$	$[]$
44880.e4	44880bc1	44880.e	44880bc	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$276480$	$1.694529$	$726497538898787209/1038579300$	$0.95856$	$4.61594$	$[0, -1, 0, -299656, -63036944]$	\(y^2=x^3-x^2-299656x-63036944\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$	$[]$
61710.cj4	61710co1	61710.cj	61710co	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$3.524066033$	$1$		$3$	$1382400$	$2.200329$	$726497538898787209/1038579300$	$0.95856$	$5.03294$	$[1, 0, 0, -2266151, -1313237595]$	\(y^2+xy=x^3-2266151x-1313237595\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 33.8.0-3.a.1.2, 66.48.0-66.b.1.1, $\ldots$	$[(6258, 476031)]$
84150.s4	84150bf1	84150.s	84150bf	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$2211840$	$2.355408$	$726497538898787209/1038579300$	$0.95856$	$5.05939$	$[1, -1, 0, -4213917, -3328427759]$	\(y^2+xy=x^3-x^2-4213917x-3328427759\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$	$[]$
95370.o4	95370p1	95370.o	95370p	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{3} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$3317760$	$2.417988$	$726497538898787209/1038579300$	$0.95856$	$5.06966$	$[1, 1, 0, -5412542, 4844482944]$	\(y^2+xy=x^3+x^2-5412542x+4844482944\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 51.8.0-3.a.1.2, $\ldots$	$[]$
134640.dq4	134640j1	134640.dq	134640j	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11^{3} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$0.690412852$	$1$		$25$	$2211840$	$2.243835$	$726497538898787209/1038579300$	$0.95856$	$4.74469$	$[0, 0, 0, -2696907, 1704694394]$	\(y^2=x^3-2696907x+1704694394\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 66.24.0.b.1, $\ldots$	$[(983, 1870), (943, 270)]$
179520.dv4	179520hj1	179520.dv	179520hj	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$2211840$	$2.041103$	$726497538898787209/1038579300$	$0.95856$	$4.43077$	$[0, -1, 0, -1198625, 505494177]$	\(y^2=x^3-x^2-1198625x+505494177\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 66.24.0.b.1, $\ldots$	$[]$
179520.gu4	179520h1	179520.gu	179520h	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$2.093126261$	$1$		$3$	$2211840$	$2.041103$	$726497538898787209/1038579300$	$0.95856$	$4.43077$	$[0, 1, 0, -1198625, -505494177]$	\(y^2=x^3+x^2-1198625x-505494177\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 66.24.0.b.1, $\ldots$	$[(8071, 718080)]$
185130.bu4	185130db1	185130.bu	185130db	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 11^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$11059200$	$2.749634$	$726497538898787209/1038579300$	$0.95856$	$5.12054$	$[1, -1, 0, -20395359, 35457415065]$	\(y^2+xy=x^3-x^2-20395359x+35457415065\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 33.8.0-3.a.1.1, 66.48.0-66.b.1.2, $\ldots$	$[]$
224400.hp4	224400cs1	224400.hp	224400cs	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$4$	$2$	$1$	$6635520$	$2.499249$	$726497538898787209/1038579300$	$0.95856$	$4.79673$	$[0, 1, 0, -7491408, -7894600812]$	\(y^2=x^3+x^2-7491408x-7894600812\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 66.24.0.b.1, $\ldots$	$[]$
274890.bp4	274890bp1	274890.bp	274890bp	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$31416$	$96$	$1$	$2.904070113$	$1$		$7$	$4147200$	$1.974337$	$726497538898787209/1038579300$	$0.95856$	$4.21606$	$[1, 1, 0, -917697, -338756319]$	\(y^2+xy=x^3+x^2-917697x-338756319\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[(-553, 279)]$
286110.dy4	286110dy1	286110.dy	286110dy	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 11^{3} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$26542080$	$2.967293$	$726497538898787209/1038579300$	$0.95856$	$5.15101$	$[1, -1, 1, -48712883, -130849752369]$	\(y^2+xy+y=x^3-x^2-48712883x-130849752369\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 51.8.0-3.a.1.1, $\ldots$	$[]$
308550.bz4	308550bz1	308550.bz	308550bz	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 11^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$33177600$	$3.005047$	$726497538898787209/1038579300$	$0.95856$	$5.15608$	$[1, 1, 0, -56653775, -164154699375]$	\(y^2+xy=x^3+x^2-56653775x-164154699375\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.4, 66.24.0.b.1, $\ldots$	$[]$
476850.jr4	476850jr1	476850.jr	476850jr	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 11^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$11.59556107$	$1$		$1$	$79626240$	$3.222706$	$726497538898787209/1038579300$	$0.95856$	$5.18418$	$[1, 0, 0, -135313563, 605830995117]$	\(y^2+xy=x^3-135313563x+605830995117\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 66.24.0.b.1, 120.24.0.?, $\ldots$	$[(16612713/16, 66557992845/16)]$
493680.br4	493680br1	493680.br	493680br	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4488$	$96$	$1$	$1$	$1$		$1$	$33177600$	$2.893475$	$726497538898787209/1038579300$	$0.95856$	$4.86910$	$[0, -1, 0, -36258416, 84047206080]$	\(y^2=x^3-x^2-36258416x+84047206080\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 66.24.0.b.1, $\ldots$	$[]$