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.a1	21a5	21.a	21a	$6$	$8$	\( 3 \cdot 7 \)	\( 3 \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	16.48.0.48	2B	$336$	$192$	$1$	$1$	$1$		$0$	$4$	$0.074205$	$53297461115137/147$	$1.05087$	$10.38157$	$[1, 0, 0, -784, -8515]$	\(y^2+xy=x^3-784x-8515\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 12.24.0-12.h.1.1, 16.48.0-16.e.2.5, $\ldots$	$[]$
63.a1	63a5	63.a	63a	$6$	$8$	\( 3^{2} \cdot 7 \)	\( 3^{7} \cdot 7^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.38	2B	$336$	$192$	$1$	$1$	$1$		$2$	$32$	$0.623511$	$53297461115137/147$	$1.05087$	$9.21973$	$[1, -1, 0, -7056, 229905]$	\(y^2+xy=x^3-x^2-7056x+229905\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 12.24.0-12.h.1.2, 16.48.0-16.e.2.10, $\ldots$	$[]$
147.a1	147a5	147.a	147a	$6$	$8$	\( 3 \cdot 7^{2} \)	\( 3 \cdot 7^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.174	2B	$336$	$192$	$1$	$1$	$1$		$0$	$192$	$1.047161$	$53297461115137/147$	$1.05087$	$8.67307$	$[1, 1, 1, -38417, 2882228]$	\(y^2+xy+y=x^3+x^2-38417x+2882228\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0.h.1, 16.48.0-16.e.2.3, $\ldots$	$[]$
336.a1	336e5	336.a	336e	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \)	\( 2^{12} \cdot 3 \cdot 7^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.32	2B	$336$	$192$	$1$	$2.985196834$	$1$		$7$	$256$	$0.767352$	$53297461115137/147$	$1.05087$	$6.86332$	$[0, -1, 0, -12544, 544960]$	\(y^2=x^3-x^2-12544x+544960\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 12.24.0-12.h.1.2, 16.48.0-16.e.2.7, $\ldots$	$[(90, 370)]$
441.f1	441c5	441.f	441c	$6$	$8$	\( 3^{2} \cdot 7^{2} \)	\( 3^{7} \cdot 7^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.119	2B	$336$	$192$	$1$	$10.55403529$	$1$		$0$	$1536$	$1.596466$	$53297461115137/147$	$1.05087$	$8.19078$	$[1, -1, 0, -345753, -78165914]$	\(y^2+xy=x^3-x^2-345753x-78165914\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0.h.1, 16.48.0-16.e.2.16, $\ldots$	$[(234399/10, 108307823/10)]$
525.d1	525b5	525.d	525b	$6$	$8$	\( 3 \cdot 5^{2} \cdot 7 \)	\( 3 \cdot 5^{6} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$1680$	$192$	$1$	$1$	$4$	$2$	$0$	$512$	$0.878924$	$53297461115137/147$	$1.05087$	$6.58804$	$[1, 1, 0, -19600, -1064375]$	\(y^2+xy=x^3+x^2-19600x-1064375\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
1008.l1	1008k5	1008.l	1008k	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7 \)	\( 2^{12} \cdot 3^{7} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.54	2B	$336$	$192$	$1$	$1$	$4$	$2$	$1$	$2048$	$1.316658$	$53297461115137/147$	$1.05087$	$6.72617$	$[0, 0, 0, -112899, -14601022]$	\(y^2=x^3-112899x-14601022\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 12.24.0-12.h.1.1, 16.48.0-16.e.2.12, $\ldots$	$[]$
1344.g1	1344a5	1344.g	1344a	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \)	\( 2^{18} \cdot 3 \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.185	2B	$336$	$192$	$1$	$7.803842251$	$1$		$3$	$2048$	$1.113926$	$53297461115137/147$	$1.05087$	$6.11982$	$[0, -1, 0, -50177, -4309503]$	\(y^2=x^3-x^2-50177x-4309503\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 12.12.0.h.1, 16.48.0-16.e.2.8, $\ldots$	$[(4771, 329140)]$
1344.s1	1344r5	1344.s	1344r	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7 \)	\( 2^{18} \cdot 3 \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.194	2B	$336$	$192$	$1$	$1$	$1$		$1$	$2048$	$1.113926$	$53297461115137/147$	$1.05087$	$6.11982$	$[0, 1, 0, -50177, 4309503]$	\(y^2=x^3+x^2-50177x+4309503\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 12.12.0.h.1, 16.48.0-16.e.2.6, $\ldots$	$[]$
1575.c1	1575g5	1575.c	1575g	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 7 \)	\( 3^{7} \cdot 5^{6} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$1680$	$192$	$1$	$0.945149794$	$1$		$4$	$4096$	$1.428230$	$53297461115137/147$	$1.05087$	$6.50029$	$[1, -1, 1, -176405, 28561722]$	\(y^2+xy+y=x^3-x^2-176405x+28561722\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(243, -115)]$
2352.v1	2352v5	2352.v	2352v	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7^{2} \)	\( 2^{12} \cdot 3 \cdot 7^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.114	2B	$336$	$192$	$1$	$1$	$16$	$2$	$1$	$12288$	$1.740307$	$53297461115137/147$	$1.05087$	$6.64691$	$[0, 1, 0, -614672, -185691948]$	\(y^2=x^3+x^2-614672x-185691948\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0.h.1, 16.48.0-16.e.2.1, $\ldots$	$[]$
2541.j1	2541l5	2541.j	2541l	$6$	$8$	\( 3 \cdot 7 \cdot 11^{2} \)	\( 3 \cdot 7^{2} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$3696$	$192$	$1$	$1$	$1$		$0$	$5120$	$1.273153$	$53297461115137/147$	$1.05087$	$5.86638$	$[1, 0, 1, -94867, 11238599]$	\(y^2+xy+y=x^3-94867x+11238599\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
3549.c1	3549c5	3549.c	3549c	$6$	$8$	\( 3 \cdot 7 \cdot 13^{2} \)	\( 3 \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$4368$	$192$	$1$	$10.68582211$	$1$		$0$	$9216$	$1.356680$	$53297461115137/147$	$1.05087$	$5.74923$	$[1, 0, 1, -132500, -18574957]$	\(y^2+xy+y=x^3-132500x-18574957\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(379291/30, 12989549/30)]$
3675.n1	3675j5	3675.n	3675j	$6$	$8$	\( 3 \cdot 5^{2} \cdot 7^{2} \)	\( 3 \cdot 5^{6} \cdot 7^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$1680$	$192$	$1$	$7.725929285$	$1$		$0$	$24576$	$1.851879$	$53297461115137/147$	$1.05087$	$6.44866$	$[1, 0, 1, -960426, 362199373]$	\(y^2+xy+y=x^3-960426x+362199373\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(87397/12, 2443027/12)]$
4032.h1	4032h5	4032.h	4032h	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7 \)	\( 2^{18} \cdot 3^{7} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.203	2B	$336$	$192$	$1$	$1$	$1$		$1$	$16384$	$1.663233$	$53297461115137/147$	$1.05087$	$6.10397$	$[0, 0, 0, -451596, 116808176]$	\(y^2=x^3-451596x+116808176\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 12.12.0.h.1, 16.48.0-16.e.2.11, $\ldots$	$[]$
4032.k1	4032bm5	4032.k	4032bm	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7 \)	\( 2^{18} \cdot 3^{7} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.188	2B	$336$	$192$	$1$	$1$	$1$		$1$	$16384$	$1.663233$	$53297461115137/147$	$1.05087$	$6.10397$	$[0, 0, 0, -451596, -116808176]$	\(y^2=x^3-451596x-116808176\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 12.12.0.h.1, 16.48.0-16.e.2.9, $\ldots$	$[]$
6069.b1	6069b5	6069.b	6069b	$6$	$8$	\( 3 \cdot 7 \cdot 17^{2} \)	\( 3 \cdot 7^{2} \cdot 17^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$5712$	$192$	$1$	$1$	$4$	$2$	$0$	$18432$	$1.490812$	$53297461115137/147$	$1.05087$	$5.57990$	$[1, 1, 1, -226582, -41607616]$	\(y^2+xy+y=x^3+x^2-226582x-41607616\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
7056.p1	7056bx5	7056.p	7056bx	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{12} \cdot 3^{7} \cdot 7^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.179	2B	$336$	$192$	$1$	$1$	$1$		$1$	$98304$	$2.289616$	$53297461115137/147$	$1.05087$	$6.56671$	$[0, 0, 0, -5532051, 5008150546]$	\(y^2=x^3-5532051x+5008150546\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0.h.1, 16.48.0-16.e.2.14, $\ldots$	$[]$
7581.d1	7581b5	7581.d	7581b	$6$	$8$	\( 3 \cdot 7 \cdot 19^{2} \)	\( 3 \cdot 7^{2} \cdot 19^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$6384$	$192$	$1$	$1$	$1$		$0$	$27648$	$1.546425$	$53297461115137/147$	$1.05087$	$5.51565$	$[1, 1, 0, -283031, 57838326]$	\(y^2+xy=x^3+x^2-283031x+57838326\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
7623.g1	7623p5	7623.g	7623p	$6$	$8$	\( 3^{2} \cdot 7 \cdot 11^{2} \)	\( 3^{7} \cdot 7^{2} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$3696$	$192$	$1$	$1$	$1$		$0$	$40960$	$1.822458$	$53297461115137/147$	$1.05087$	$5.88281$	$[1, -1, 1, -853799, -303442180]$	\(y^2+xy+y=x^3-x^2-853799x-303442180\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
8400.bn1	8400cd5	8400.bn	8400cd	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$1680$	$192$	$1$	$2.889580479$	$1$		$3$	$32768$	$1.572071$	$53297461115137/147$	$1.05087$	$5.48709$	$[0, 1, 0, -313608, 67492788]$	\(y^2=x^3+x^2-313608x+67492788\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(332, 282)]$
9408.m1	9408cd5	9408.m	9408cd	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7^{2} \)	\( 2^{18} \cdot 3 \cdot 7^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.166	2B	$336$	$192$	$1$	$13.74319437$	$1$		$1$	$98304$	$2.086880$	$53297461115137/147$	$1.05087$	$6.09434$	$[0, -1, 0, -2458689, -1483076895]$	\(y^2=x^3-x^2-2458689x-1483076895\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0.h.1, 16.48.0-16.e.2.4, $\ldots$	$[(1294871/25, 751228456/25)]$
9408.bv1	9408bj5	9408.bv	9408bj	$6$	$8$	\( 2^{6} \cdot 3 \cdot 7^{2} \)	\( 2^{18} \cdot 3 \cdot 7^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.94	2B	$336$	$192$	$1$	$8.753013071$	$1$		$1$	$98304$	$2.086880$	$53297461115137/147$	$1.05087$	$6.09434$	$[0, 1, 0, -2458689, 1483076895]$	\(y^2=x^3+x^2-2458689x+1483076895\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0.h.1, 16.48.0-16.e.2.2, $\ldots$	$[(327605/19, 904380/19)]$
10647.d1	10647f5	10647.d	10647f	$6$	$8$	\( 3^{2} \cdot 7 \cdot 13^{2} \)	\( 3^{7} \cdot 7^{2} \cdot 13^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$4368$	$192$	$1$	$0.548620843$	$1$		$10$	$73728$	$1.905987$	$53297461115137/147$	$1.05087$	$5.77894$	$[1, -1, 1, -1192496, 501523832]$	\(y^2+xy+y=x^3-x^2-1192496x+501523832\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(504, 5071)]$
11025.g1	11025ba5	11025.g	11025ba	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( 3^{7} \cdot 5^{6} \cdot 7^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$1680$	$192$	$1$	$7.203395932$	$1$		$0$	$196608$	$2.401184$	$53297461115137/147$	$1.05087$	$6.39570$	$[1, -1, 1, -8643830, -9779383078]$	\(y^2+xy+y=x^3-x^2-8643830x-9779383078\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(21435/2, 2479913/2)]$
11109.d1	11109i5	11109.d	11109i	$6$	$8$	\( 3 \cdot 7 \cdot 23^{2} \)	\( 3 \cdot 7^{2} \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$1$	$1$		$0$	$50688$	$1.641953$	$53297461115137/147$	$1.05087$	$5.41246$	$[1, 0, 0, -414747, 102772518]$	\(y^2+xy=x^3-414747x+102772518\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
17661.f1	17661a5	17661.f	17661a	$6$	$8$	\( 3 \cdot 7 \cdot 29^{2} \)	\( 3 \cdot 7^{2} \cdot 29^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$9744$	$192$	$1$	$18.05542860$	$1$		$0$	$100352$	$1.757853$	$53297461115137/147$	$1.05087$	$5.29810$	$[1, 1, 0, -659361, -206353626]$	\(y^2+xy=x^3+x^2-659361x-206353626\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(1359305069/1180, 14033151219543/1180)]$
17787.s1	17787h5	17787.s	17787h	$6$	$8$	\( 3 \cdot 7^{2} \cdot 11^{2} \)	\( 3 \cdot 7^{8} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$3696$	$192$	$1$	$26.22178070$	$1$		$0$	$245760$	$2.246109$	$53297461115137/147$	$1.05087$	$5.89295$	$[1, 1, 0, -4648459, -3859488002]$	\(y^2+xy=x^3+x^2-4648459x-3859488002\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(2627123879091/6970, 4245604813691436101/6970)]$
18207.e1	18207e5	18207.e	18207e	$6$	$8$	\( 3^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{7} \cdot 7^{2} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$5712$	$192$	$1$	$4.979093106$	$1$		$0$	$147456$	$2.040119$	$53297461115137/147$	$1.05087$	$5.62695$	$[1, -1, 0, -2039238, 1121366389]$	\(y^2+xy=x^3-x^2-2039238x+1121366389\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(3399/2, 6611/2)]$
20181.e1	20181d5	20181.e	20181d	$6$	$8$	\( 3 \cdot 7 \cdot 31^{2} \)	\( 3 \cdot 7^{2} \cdot 31^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$10416$	$192$	$1$	$1$	$1$		$0$	$122880$	$1.791199$	$53297461115137/147$	$1.05087$	$5.26717$	$[1, 1, 1, -753444, 251410050]$	\(y^2+xy+y=x^3+x^2-753444x+251410050\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
22743.f1	22743n6	22743.f	22743n	$6$	$8$	\( 3^{2} \cdot 7 \cdot 19^{2} \)	\( 3^{7} \cdot 7^{2} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$6384$	$192$	$1$	$14.77683246$	$1$		$0$	$221184$	$2.095730$	$53297461115137/147$	$1.05087$	$5.56869$	$[1, -1, 1, -2547284, -1564182084]$	\(y^2+xy+y=x^3-x^2-2547284x-1564182084\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(36422401/120, 154000240141/120)]$
24843.p1	24843d6	24843.p	24843d	$6$	$8$	\( 3 \cdot 7^{2} \cdot 13^{2} \)	\( 3 \cdot 7^{8} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$4368$	$192$	$1$	$1$	$1$		$0$	$442368$	$2.329636$	$53297461115137/147$	$1.05087$	$5.79745$	$[1, 1, 0, -6492476, 6364717689]$	\(y^2+xy=x^3+x^2-6492476x+6364717689\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
25200.cr1	25200dx6	25200.cr	25200dx	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \)	\( 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$1680$	$192$	$1$	$5.712068496$	$1$		$3$	$262144$	$2.121376$	$53297461115137/147$	$1.05087$	$5.54269$	$[0, 0, 0, -2822475, -1825127750]$	\(y^2=x^3-2822475x-1825127750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(2055, 32450)]$
28224.es1	28224fw6	28224.es	28224fw	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{7} \cdot 7^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.95	2B	$336$	$192$	$1$	$1$	$1$		$1$	$786432$	$2.636189$	$53297461115137/147$	$1.05087$	$6.08422$	$[0, 0, 0, -22128204, 40065204368]$	\(y^2=x^3-22128204x+40065204368\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0.h.1, 16.48.0-16.e.2.15, $\ldots$	$[]$
28224.fk1	28224bz6	28224.fk	28224bz	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \)	\( 2^{18} \cdot 3^{7} \cdot 7^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.167	2B	$336$	$192$	$1$	$23.79400264$	$1$		$1$	$786432$	$2.636189$	$53297461115137/147$	$1.05087$	$6.08422$	$[0, 0, 0, -22128204, -40065204368]$	\(y^2=x^3-22128204x-40065204368\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0.h.1, 16.48.0-16.e.2.13, $\ldots$	$[(136071434821/2337, 49224790015037945/2337)]$
28749.h1	28749e6	28749.h	28749e	$6$	$8$	\( 3 \cdot 7 \cdot 37^{2} \)	\( 3 \cdot 7^{2} \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$12432$	$192$	$1$	$1$	$16$	$2$	$0$	$202752$	$1.879663$	$53297461115137/147$	$1.05087$	$5.18903$	$[1, 0, 1, -1073325, -428090351]$	\(y^2+xy+y=x^3-1073325x-428090351\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
33327.k1	33327m6	33327.k	33327m	$6$	$8$	\( 3^{2} \cdot 7 \cdot 23^{2} \)	\( 3^{7} \cdot 7^{2} \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$7728$	$192$	$1$	$1$	$1$		$0$	$405504$	$2.191257$	$53297461115137/147$	$1.05087$	$5.47445$	$[1, -1, 0, -3732723, -2774857986]$	\(y^2+xy=x^3-x^2-3732723x-2774857986\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
33600.ce1	33600em6	33600.ce	33600em	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( 2^{18} \cdot 3 \cdot 5^{6} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$262144$	$1.918646$	$53297461115137/147$	$1.05087$	$5.15628$	$[0, -1, 0, -1254433, 541196737]$	\(y^2=x^3-x^2-1254433x+541196737\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
33600.fm1	33600dd6	33600.fm	33600dd	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \)	\( 2^{18} \cdot 3 \cdot 5^{6} \cdot 7^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$1680$	$192$	$1$	$6.003874339$	$4$	$2$	$3$	$262144$	$1.918646$	$53297461115137/147$	$1.05087$	$5.15628$	$[0, 1, 0, -1254433, -541196737]$	\(y^2=x^3+x^2-1254433x-541196737\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(1378, 18675)]$
35301.c1	35301e6	35301.c	35301e	$6$	$8$	\( 3 \cdot 7 \cdot 41^{2} \)	\( 3 \cdot 7^{2} \cdot 41^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$13776$	$192$	$1$	$1$	$4$	$2$	$0$	$281600$	$1.930992$	$53297461115137/147$	$1.05087$	$5.14611$	$[1, 1, 1, -1317939, -582908538]$	\(y^2+xy+y=x^3+x^2-1317939x-582908538\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
38829.h1	38829f6	38829.h	38829f	$6$	$8$	\( 3 \cdot 7 \cdot 43^{2} \)	\( 3 \cdot 7^{2} \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$14448$	$192$	$1$	$11.34344491$	$1$		$0$	$322560$	$1.954805$	$53297461115137/147$	$1.05087$	$5.12676$	$[1, 1, 0, -1449654, 671203533]$	\(y^2+xy=x^3+x^2-1449654x+671203533\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(4040101/76, -58373783/76)]$
40656.l1	40656bk6	40656.l	40656bk	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \)	\( 2^{12} \cdot 3 \cdot 7^{2} \cdot 11^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$3696$	$192$	$1$	$7.793779684$	$1$		$1$	$327680$	$1.966301$	$53297461115137/147$	$1.05087$	$5.11755$	$[0, -1, 0, -1517864, -719270352]$	\(y^2=x^3-x^2-1517864x-719270352\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(35586/5, 188034/5)]$
42483.d1	42483v6	42483.d	42483v	$6$	$8$	\( 3 \cdot 7^{2} \cdot 17^{2} \)	\( 3 \cdot 7^{8} \cdot 17^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$5712$	$192$	$1$	$8.635545491$	$1$		$0$	$884736$	$2.463768$	$53297461115137/147$	$1.05087$	$5.65661$	$[1, 0, 0, -11102519, 14238104670]$	\(y^2+xy=x^3-11102519x+14238104670\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(188145/8, 42107565/8)]$
46389.d1	46389k6	46389.d	46389k	$6$	$8$	\( 3 \cdot 7 \cdot 47^{2} \)	\( 3 \cdot 7^{2} \cdot 47^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$15792$	$192$	$1$	$3.915004228$	$1$		$0$	$423936$	$1.999279$	$53297461115137/147$	$1.05087$	$5.09155$	$[1, 0, 0, -1731902, 877125297]$	\(y^2+xy=x^3-1731902x+877125297\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(1347/2, 144447/2)]$
52983.e1	52983a6	52983.e	52983a	$6$	$8$	\( 3^{2} \cdot 7 \cdot 29^{2} \)	\( 3^{7} \cdot 7^{2} \cdot 29^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$9744$	$192$	$1$	$1$	$1$		$0$	$802816$	$2.307159$	$53297461115137/147$	$1.05087$	$5.36899$	$[1, -1, 1, -5934254, 5565613650]$	\(y^2+xy+y=x^3-x^2-5934254x+5565613650\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
53067.r1	53067q6	53067.r	53067q	$6$	$8$	\( 3 \cdot 7^{2} \cdot 19^{2} \)	\( 3 \cdot 7^{8} \cdot 19^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$6384$	$192$	$1$	$1$	$64$	$2$	$0$	$1327104$	$2.519379$	$53297461115137/147$	$1.05087$	$5.60229$	$[1, 0, 1, -13868545, -19880151427]$	\(y^2+xy+y=x^3-13868545x-19880151427\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
53361.p1	53361bo6	53361.p	53361bo	$6$	$8$	\( 3^{2} \cdot 7^{2} \cdot 11^{2} \)	\( 3^{7} \cdot 7^{8} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$3696$	$192$	$1$	$1$	$1$		$0$	$1966080$	$2.795414$	$53297461115137/147$	$1.05087$	$5.90376$	$[1, -1, 1, -41836136, 104164339920]$	\(y^2+xy+y=x^3-x^2-41836136x+104164339920\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
56784.bh1	56784bk6	56784.bh	56784bk	$6$	$8$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( 2^{12} \cdot 3 \cdot 7^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$4368$	$192$	$1$	$1$	$1$		$1$	$589824$	$2.049828$	$53297461115137/147$	$1.05087$	$5.05292$	$[0, -1, 0, -2119992, 1188797232]$	\(y^2=x^3-x^2-2119992x+1188797232\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[]$
58800.m1	58800gb6	58800.m	58800gb	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$1680$	$192$	$1$	$6.382650789$	$4$	$2$	$3$	$1572864$	$2.545025$	$53297461115137/147$	$1.05087$	$5.57798$	$[0, -1, 0, -15366808, -23180759888]$	\(y^2=x^3-x^2-15366808x-23180759888\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(6018, 319774)]$
58989.n1	58989a6	58989.n	58989a	$6$	$8$	\( 3 \cdot 7 \cdot 53^{2} \)	\( 3 \cdot 7^{2} \cdot 53^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.13	2B	$17808$	$192$	$1$	$49.59630879$	$1$		$0$	$599040$	$2.059353$	$53297461115137/147$	$1.05087$	$5.04580$	$[1, 1, 0, -2202314, -1258878483]$	\(y^2+xy=x^3+x^2-2202314x-1258878483\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$	$[(172919103341329630148581/3516324812, 71182472524962197490968959493647419/3516324812)]$