Elliptic curve search results

Results (1-50 of 138 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
21.a2	21a2	21.a	21a	$6$	$8$	\( 3 \cdot 7 \)	\( 3^{2} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.48.0.34	2Cs	$168$	$192$	$1$	$1$	$1$		$2$	$2$	$-0.272368$	$13027640977/21609$	$1.08149$	$7.64992$	$[1, 0, 0, -49, -136]$	\(y^2+xy=x^3-49x-136\)	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.1.1, 12.48.0-12.c.1.3, 24.96.0-24.j.2.5, $\ldots$	$[]$
63.a2	63a4	63.a	63a	$6$	$8$	\( 3^{2} \cdot 7 \)	\( 3^{8} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.18	2Cs	$168$	$192$	$1$	$1$	$1$		$2$	$16$	$0.276938$	$13027640977/21609$	$1.08149$	$7.21242$	$[1, -1, 0, -441, 3672]$	\(y^2+xy=x^3-x^2-441x+3672\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.1.8, 12.48.0-12.c.1.2, 24.96.0-24.j.2.4, $\ldots$	$[]$
147.a2	147a4	147.a	147a	$6$	$8$	\( 3 \cdot 7^{2} \)	\( 3^{2} \cdot 7^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.109	2Cs	$168$	$192$	$1$	$1$	$1$		$2$	$96$	$0.700587$	$13027640977/21609$	$1.08149$	$7.00657$	$[1, 1, 1, -2402, 44246]$	\(y^2+xy+y=x^3+x^2-2402x+44246\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.10, 12.24.0.c.1, 24.96.0-24.j.2.15, $\ldots$	$[]$
336.a2	336e4	336.a	336e	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \)	\( 2^{12} \cdot 3^{2} \cdot 7^{4} \)	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.25	2Cs	$168$	$192$	$1$	$1.492598417$	$1$		$19$	$128$	$0.420779$	$13027640977/21609$	$1.08149$	$5.43364$	$[0, -1, 0, -784, 8704]$	\(y^2=x^3-x^2-784x+8704\)	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 12.48.0-12.c.1.1, 24.96.0-24.j.2.3, $\ldots$	$[(18, 10)]$
441.f2	441c3	441.f	441c	$6$	$8$	\( 3^{2} \cdot 7^{2} \)	\( 3^{8} \cdot 7^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.113	2Cs	$168$	$192$	$1$	$5.277017646$	$1$		$2$	$768$	$1.249893$	$13027640977/21609$	$1.08149$	$6.82496$	$[1, -1, 0, -21618, -1216265]$	\(y^2+xy=x^3-x^2-21618x-1216265\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.15, 12.24.0.c.1, 24.96.0-24.j.2.10, $\ldots$	$[(9255/2, 879115/2)]$
525.d2	525b3	525.d	525b	$6$	$8$	\( 3 \cdot 5^{2} \cdot 7 \)	\( 3^{2} \cdot 5^{6} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$1$	$1$		$2$	$256$	$0.532351$	$13027640977/21609$	$1.08149$	$5.26024$	$[1, 1, 0, -1225, -17000]$	\(y^2+xy=x^3+x^2-1225x-17000\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 20.24.0-4.b.1.1, $\ldots$	$[]$
1008.l2	1008k3	1008.l	1008k	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \)	\( 2^{12} \cdot 3^{8} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.13	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$1024$	$0.970085$	$13027640977/21609$	$1.08149$	$5.52361$	$[0, 0, 0, -7059, -227950]$	\(y^2=x^3-7059x-227950\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.1.16, 12.48.0-12.c.1.4, 24.96.0-24.j.2.6, $\ldots$	$[]$
1344.g2	1344a3	1344.g	1344a	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \)	\( 2^{18} \cdot 3^{2} \cdot 7^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.130	2Cs	$168$	$192$	$1$	$3.901921125$	$1$		$7$	$1024$	$0.767352$	$13027640977/21609$	$1.08149$	$4.96529$	$[0, -1, 0, -3137, -66495]$	\(y^2=x^3-x^2-3137x-66495\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.11, 12.24.0.c.1, 24.96.0-24.j.2.1, $\ldots$	$[(67, 140)]$
1344.s2	1344r4	1344.s	1344r	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \)	\( 2^{18} \cdot 3^{2} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.80	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$1024$	$0.767352$	$13027640977/21609$	$1.08149$	$4.96529$	$[0, 1, 0, -3137, 66495]$	\(y^2=x^3+x^2-3137x+66495\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.3, 12.24.0.c.1, 24.96.0-24.j.2.7, $\ldots$	$[]$
1575.c2	1575g4	1575.c	1575g	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 7 \)	\( 3^{8} \cdot 5^{6} \cdot 7^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$0.472574897$	$1$		$16$	$2048$	$1.081657$	$13027640977/21609$	$1.08149$	$5.37063$	$[1, -1, 1, -11030, 447972]$	\(y^2+xy+y=x^3-x^2-11030x+447972\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 20.24.0-4.b.1.2, $\ldots$	$[(68, 60)]$
2352.v2	2352v3	2352.v	2352v	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 7^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.142	2Cs	$168$	$192$	$1$	$1$	$4$	$2$	$3$	$6144$	$1.393734$	$13027640977/21609$	$1.08149$	$5.57561$	$[0, 1, 0, -38432, -2908620]$	\(y^2=x^3+x^2-38432x-2908620\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.2, 12.24.0.c.1, 24.96.0-24.j.2.9, $\ldots$	$[]$
2541.j2	2541l4	2541.j	2541l	$6$	$8$	\( 3 \cdot 7 \cdot 11^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 11^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$1848$	$192$	$1$	$1$	$1$		$2$	$2560$	$0.926579$	$13027640977/21609$	$1.08149$	$4.80564$	$[1, 0, 1, -5932, 175085]$	\(y^2+xy+y=x^3-5932x+175085\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
3549.c2	3549c3	3549.c	3549c	$6$	$8$	\( 3 \cdot 7 \cdot 13^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 13^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$2184$	$192$	$1$	$5.342911058$	$1$		$2$	$4608$	$1.010107$	$13027640977/21609$	$1.08149$	$4.73184$	$[1, 0, 1, -8285, -290509]$	\(y^2+xy+y=x^3-8285x-290509\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(-843/4, 349/4)]$
3675.n2	3675j4	3675.n	3675j	$6$	$8$	\( 3 \cdot 5^{2} \cdot 7^{2} \)	\( 3^{2} \cdot 5^{6} \cdot 7^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$3.862964642$	$1$		$2$	$12288$	$1.505306$	$13027640977/21609$	$1.08149$	$5.43559$	$[1, 0, 1, -60051, 5650873]$	\(y^2+xy+y=x^3-60051x+5650873\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(683/2, 4263/2)]$
4032.h2	4032h4	4032.h	4032h	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7 \)	\( 2^{18} \cdot 3^{8} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.129	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$8192$	$1.316658$	$13027640977/21609$	$1.08149$	$5.10221$	$[0, 0, 0, -28236, 1823600]$	\(y^2=x^3-28236x+1823600\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.14, 12.24.0.c.1, 24.96.0-24.j.2.8, $\ldots$	$[]$
4032.k2	4032bm3	4032.k	4032bm	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7 \)	\( 2^{18} \cdot 3^{8} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.79	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$8192$	$1.316658$	$13027640977/21609$	$1.08149$	$5.10221$	$[0, 0, 0, -28236, -1823600]$	\(y^2=x^3-28236x-1823600\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.6, 12.24.0.c.1, 24.96.0-24.j.2.2, $\ldots$	$[]$
6069.b2	6069b3	6069.b	6069b	$6$	$8$	\( 3 \cdot 7 \cdot 17^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$2856$	$192$	$1$	$1$	$1$		$2$	$9216$	$1.144238$	$13027640977/21609$	$1.08149$	$4.62517$	$[1, 1, 1, -14167, -654004]$	\(y^2+xy+y=x^3+x^2-14167x-654004\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
7056.p2	7056bx4	7056.p	7056bx	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{12} \cdot 3^{8} \cdot 7^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.100	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$49152$	$1.943041$	$13027640977/21609$	$1.08149$	$5.62822$	$[0, 0, 0, -345891, 78186850]$	\(y^2=x^3-345891x+78186850\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.7, 12.24.0.c.1, 24.96.0-24.j.2.16, $\ldots$	$[]$
7581.d2	7581b4	7581.d	7581b	$6$	$8$	\( 3 \cdot 7 \cdot 19^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 19^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$3192$	$192$	$1$	$1$	$1$		$2$	$13824$	$1.199852$	$13027640977/21609$	$1.08149$	$4.58470$	$[1, 1, 0, -17696, 897435]$	\(y^2+xy=x^3+x^2-17696x+897435\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
7623.g2	7623p3	7623.g	7623p	$6$	$8$	\( 3^{2} \cdot 7 \cdot 11^{2} \)	\( 3^{8} \cdot 7^{4} \cdot 11^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$1848$	$192$	$1$	$1$	$1$		$2$	$20480$	$1.475885$	$13027640977/21609$	$1.08149$	$4.95243$	$[1, -1, 1, -53384, -4727302]$	\(y^2+xy+y=x^3-x^2-53384x-4727302\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
8400.bn2	8400cd4	8400.bn	8400cd	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$1.444790239$	$1$		$9$	$16384$	$1.225498$	$13027640977/21609$	$1.08149$	$4.56671$	$[0, 1, 0, -19608, 1048788]$	\(y^2=x^3+x^2-19608x+1048788\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 20.24.0-4.b.1.3, $\ldots$	$[(38, 600)]$
9408.m2	9408cd3	9408.m	9408cd	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7^{2} \)	\( 2^{18} \cdot 3^{2} \cdot 7^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.131	2Cs	$168$	$192$	$1$	$6.871597187$	$1$		$5$	$49152$	$1.740307$	$13027640977/21609$	$1.08149$	$5.18535$	$[0, -1, 0, -153729, -23115231]$	\(y^2=x^3-x^2-153729x-23115231\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.12, 12.24.0.c.1, 24.96.0-24.j.2.13, $\ldots$	$[(1703, 68200)]$
9408.bv2	9408bj4	9408.bv	9408bj	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7^{2} \)	\( 2^{18} \cdot 3^{2} \cdot 7^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.81	2Cs	$168$	$192$	$1$	$4.376506535$	$1$		$5$	$49152$	$1.740307$	$13027640977/21609$	$1.08149$	$5.18535$	$[0, 1, 0, -153729, 23115231]$	\(y^2=x^3+x^2-153729x+23115231\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.4, 12.24.0.c.1, 24.96.0-24.j.2.11, $\ldots$	$[(269, 1140)]$
10647.d2	10647f4	10647.d	10647f	$6$	$8$	\( 3^{2} \cdot 7 \cdot 13^{2} \)	\( 3^{8} \cdot 7^{4} \cdot 13^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$2184$	$192$	$1$	$1.097241687$	$1$		$12$	$36864$	$1.559412$	$13027640977/21609$	$1.08149$	$4.88208$	$[1, -1, 1, -74561, 7843736]$	\(y^2+xy+y=x^3-x^2-74561x+7843736\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(36, 2263)]$
11025.g2	11025ba3	11025.g	11025ba	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( 3^{8} \cdot 5^{6} \cdot 7^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$3.601697966$	$1$		$6$	$98304$	$2.054611$	$13027640977/21609$	$1.08149$	$5.50221$	$[1, -1, 1, -540455, -152573578]$	\(y^2+xy+y=x^3-x^2-540455x-152573578\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(-431, 615)]$
11109.d2	11109i4	11109.d	11109i	$6$	$8$	\( 3 \cdot 7 \cdot 23^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 23^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$3864$	$192$	$1$	$1$	$1$		$2$	$25344$	$1.295380$	$13027640977/21609$	$1.08149$	$4.51970$	$[1, 0, 0, -25932, 1602855]$	\(y^2+xy=x^3-25932x+1602855\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
17661.f2	17661a3	17661.f	17661a	$6$	$8$	\( 3 \cdot 7 \cdot 29^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 29^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$4872$	$192$	$1$	$9.027714301$	$1$		$2$	$50176$	$1.411280$	$13027640977/21609$	$1.08149$	$4.44765$	$[1, 1, 0, -41226, -3234465]$	\(y^2+xy=x^3+x^2-41226x-3234465\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(194549/20, 74815103/20)]$
17787.s2	17787h3	17787.s	17787h	$6$	$8$	\( 3 \cdot 7^{2} \cdot 11^{2} \)	\( 3^{2} \cdot 7^{10} \cdot 11^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$1848$	$192$	$1$	$13.11089035$	$1$		$2$	$122880$	$1.899534$	$13027640977/21609$	$1.08149$	$5.04313$	$[1, 1, 0, -290644, -60344885]$	\(y^2+xy=x^3+x^2-290644x-60344885\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(5406099/10, 12542218637/10)]$
18207.e2	18207e4	18207.e	18207e	$6$	$8$	\( 3^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{8} \cdot 7^{4} \cdot 17^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$2856$	$192$	$1$	$2.489546553$	$1$		$4$	$73728$	$1.693544$	$13027640977/21609$	$1.08149$	$4.77914$	$[1, -1, 0, -127503, 17530600]$	\(y^2+xy=x^3-x^2-127503x+17530600\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(344, 3608)]$
20181.e2	20181d4	20181.e	20181d	$6$	$8$	\( 3 \cdot 7 \cdot 31^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 31^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$5208$	$192$	$1$	$1$	$1$		$2$	$61440$	$1.444626$	$13027640977/21609$	$1.08149$	$4.42817$	$[1, 1, 1, -47109, 3910266]$	\(y^2+xy+y=x^3+x^2-47109x+3910266\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
22743.f2	22743n4	22743.f	22743n	$6$	$8$	\( 3^{2} \cdot 7 \cdot 19^{2} \)	\( 3^{8} \cdot 7^{4} \cdot 19^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$3192$	$192$	$1$	$7.388416230$	$1$		$2$	$110592$	$1.749157$	$13027640977/21609$	$1.08149$	$4.73969$	$[1, -1, 1, -159269, -24390012]$	\(y^2+xy+y=x^3-x^2-159269x-24390012\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(-11119/7, 95985/7)]$
24843.p2	24843d4	24843.p	24843d	$6$	$8$	\( 3 \cdot 7^{2} \cdot 13^{2} \)	\( 3^{2} \cdot 7^{10} \cdot 13^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$2184$	$192$	$1$	$1$	$1$		$2$	$221184$	$1.983061$	$13027640977/21609$	$1.08149$	$4.97568$	$[1, 1, 0, -405941, 99238560]$	\(y^2+xy=x^3+x^2-405941x+99238560\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
25200.cr2	25200dx4	25200.cr	25200dx	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 7^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$2.856034248$	$1$		$9$	$131072$	$1.774803$	$13027640977/21609$	$1.08149$	$4.72208$	$[0, 0, 0, -176475, -28493750]$	\(y^2=x^3-176475x-28493750\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 20.24.0-4.b.1.2, $\ldots$	$[(-241, 198)]$
28224.es2	28224fw4	28224.es	28224fw	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 7^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.76	2Cs	$168$	$192$	$1$	$1$	$1$		$3$	$393216$	$2.289616$	$13027640977/21609$	$1.08149$	$5.27269$	$[0, 0, 0, -1383564, 625494800]$	\(y^2=x^3-1383564x+625494800\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.13, 12.24.0.c.1, 24.96.0-24.j.2.12, $\ldots$	$[]$
28224.fk2	28224bz4	28224.fk	28224bz	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 7^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.126	2Cs	$168$	$192$	$1$	$11.89700132$	$1$		$3$	$393216$	$2.289616$	$13027640977/21609$	$1.08149$	$5.27269$	$[0, 0, 0, -1383564, -625494800]$	\(y^2=x^3-1383564x-625494800\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.5, 12.24.0.c.1, 24.96.0-24.j.2.14, $\ldots$	$[(-2000536/55, 84889188/55)]$
28749.h2	28749e4	28749.h	28749e	$6$	$8$	\( 3 \cdot 7 \cdot 37^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 37^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$6216$	$192$	$1$	$1$	$16$	$2$	$2$	$101376$	$1.533091$	$13027640977/21609$	$1.08149$	$4.37895$	$[1, 0, 1, -67110, -6687509]$	\(y^2+xy+y=x^3-67110x-6687509\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
33327.k2	33327m4	33327.k	33327m	$6$	$8$	\( 3^{2} \cdot 7 \cdot 23^{2} \)	\( 3^{8} \cdot 7^{4} \cdot 23^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$3864$	$192$	$1$	$1$	$1$		$2$	$202752$	$1.844685$	$13027640977/21609$	$1.08149$	$4.67586$	$[1, -1, 0, -233388, -43277085]$	\(y^2+xy=x^3-x^2-233388x-43277085\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
33600.ce2	33600em4	33600.ce	33600em	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 7^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$1$	$1$		$3$	$131072$	$1.572071$	$13027640977/21609$	$1.08149$	$4.35832$	$[0, -1, 0, -78433, 8468737]$	\(y^2=x^3-x^2-78433x+8468737\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
33600.fm2	33600dd4	33600.fm	33600dd	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 7^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$3.001937169$	$1$		$9$	$131072$	$1.572071$	$13027640977/21609$	$1.08149$	$4.35832$	$[0, 1, 0, -78433, -8468737]$	\(y^2=x^3+x^2-78433x-8468737\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(-163, 108)]$
35301.c2	35301e4	35301.c	35301e	$6$	$8$	\( 3 \cdot 7 \cdot 41^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 41^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$6888$	$192$	$1$	$1$	$1$		$2$	$140800$	$1.584417$	$13027640977/21609$	$1.08149$	$4.35191$	$[1, 1, 1, -82404, -9126084]$	\(y^2+xy+y=x^3+x^2-82404x-9126084\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
38829.h2	38829f4	38829.h	38829f	$6$	$8$	\( 3 \cdot 7 \cdot 43^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 43^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$7224$	$192$	$1$	$5.671722456$	$1$		$2$	$161280$	$1.608232$	$13027640977/21609$	$1.08149$	$4.33973$	$[1, 1, 0, -90639, 10450440]$	\(y^2+xy=x^3+x^2-90639x+10450440\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(2013/4, 61809/4)]$
40656.l2	40656bk4	40656.l	40656bk	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 7^{4} \cdot 11^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$1848$	$192$	$1$	$3.896889842$	$1$		$5$	$163840$	$1.619726$	$13027640977/21609$	$1.08149$	$4.33392$	$[0, -1, 0, -94904, -11205456]$	\(y^2=x^3-x^2-94904x-11205456\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(906, 25410)]$
42483.d2	42483v4	42483.d	42483v	$6$	$8$	\( 3 \cdot 7^{2} \cdot 17^{2} \)	\( 3^{2} \cdot 7^{10} \cdot 17^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$2856$	$192$	$1$	$4.317772745$	$1$		$4$	$442368$	$2.117195$	$13027640977/21609$	$1.08149$	$4.87621$	$[1, 0, 0, -694184, 222240759]$	\(y^2+xy=x^3-694184x+222240759\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(2302, 102889)]$
46389.d2	46389k4	46389.d	46389k	$6$	$8$	\( 3 \cdot 7 \cdot 47^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 47^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$7896$	$192$	$1$	$7.830008456$	$1$		$2$	$211968$	$1.652706$	$13027640977/21609$	$1.08149$	$4.31754$	$[1, 0, 0, -108287, 13686840]$	\(y^2+xy=x^3-108287x+13686840\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(38692/11, 4355954/11)]$
52983.e2	52983a4	52983.e	52983a	$6$	$8$	\( 3^{2} \cdot 7 \cdot 29^{2} \)	\( 3^{8} \cdot 7^{4} \cdot 29^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$4872$	$192$	$1$	$1$	$1$		$2$	$401408$	$1.960587$	$13027640977/21609$	$1.08149$	$4.60444$	$[1, -1, 1, -371039, 86959518]$	\(y^2+xy+y=x^3-x^2-371039x+86959518\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
53067.r2	53067q4	53067.r	53067q	$6$	$8$	\( 3 \cdot 7^{2} \cdot 19^{2} \)	\( 3^{2} \cdot 7^{10} \cdot 19^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$3192$	$192$	$1$	$1$	$16$	$2$	$2$	$663552$	$2.172806$	$13027640977/21609$	$1.08149$	$4.83785$	$[1, 0, 1, -867130, -310421569]$	\(y^2+xy+y=x^3-867130x-310421569\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
53361.p2	53361bo4	53361.p	53361bo	$6$	$8$	\( 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 3^{8} \cdot 7^{10} \cdot 11^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$1848$	$192$	$1$	$1$	$1$		$2$	$983040$	$2.448841$	$13027640977/21609$	$1.08149$	$5.13971$	$[1, -1, 1, -2615801, 1626696096]$	\(y^2+xy+y=x^3-x^2-2615801x+1626696096\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
56784.bh2	56784bk4	56784.bh	56784bk	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 7^{4} \cdot 13^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$2184$	$192$	$1$	$1$	$1$		$3$	$294912$	$1.703253$	$13027640977/21609$	$1.08149$	$4.29321$	$[0, -1, 0, -132552, 18592560]$	\(y^2=x^3-x^2-132552x+18592560\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[]$
58800.m2	58800gb4	58800.m	58800gb	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$840$	$192$	$1$	$3.191325394$	$1$		$9$	$786432$	$2.198452$	$13027640977/21609$	$1.08149$	$4.82068$	$[0, -1, 0, -960808, -361655888]$	\(y^2=x^3-x^2-960808x-361655888\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(-558, 650)]$
58989.n2	58989a4	58989.n	58989a	$6$	$8$	\( 3 \cdot 7 \cdot 53^{2} \)	\( 3^{2} \cdot 7^{4} \cdot 53^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.18	2Cs	$8904$	$192$	$1$	$24.79815439$	$1$		$2$	$299520$	$1.712778$	$13027640977/21609$	$1.08149$	$4.28872$	$[1, 1, 0, -137699, -19696560]$	\(y^2+xy=x^3+x^2-137699x-19696560\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$	$[(-935544679481/66970, 10531233706262307/66970)]$