Elliptic curve search results

Results (48 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
330.d5	330c2	330.d	330c	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 11 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.24.0.5	2Cs	$1320$	$192$	$1$	$1$	$1$		$6$	$384$	$0.768613$	$119102750067601/68309049600$	$1.06441$	$5.58898$	$[1, 1, 1, -1025, 767]$	\(y^2+xy+y=x^3+x^2-1025x+767\)	2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.2.1, 40.48.0-40.i.1.9, 60.48.0-60.c.1.7, $\ldots$	$[]$
990.b5	990c2	990.b	990c	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \)	\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$1320$	$192$	$1$	$1$	$1$		$2$	$3072$	$1.317919$	$119102750067601/68309049600$	$1.06441$	$5.65444$	$[1, -1, 0, -9225, -29939]$	\(y^2+xy=x^3-x^2-9225x-29939\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.3, 20.24.0-4.b.1.2, $\ldots$	$[]$
1650.h5	1650h2	1650.h	1650h	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$1320$	$192$	$1$	$0.494292023$	$1$		$16$	$9216$	$1.573332$	$119102750067601/68309049600$	$1.06441$	$5.67827$	$[1, 0, 1, -25626, 147148]$	\(y^2+xy+y=x^3-25626x+147148\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 12.24.0-4.b.1.2, 20.24.0-4.b.1.3, $\ldots$	$[(-19, 801)]$
2640.t5	2640v2	2640.t	2640v	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.6	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$9216$	$1.461760$	$119102750067601/68309049600$	$1.06441$	$5.16959$	$[0, 1, 0, -16400, -81900]$	\(y^2=x^3+x^2-16400x-81900\)	2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.h.2.5, 40.48.0-40.i.1.3, 60.48.0-60.c.1.2, $\ldots$	$[]$
3630.f5	3630d2	3630.f	3630d	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.24	2Cs	$1320$	$192$	$1$	$4.194195029$	$1$		$6$	$46080$	$1.967560$	$119102750067601/68309049600$	$1.06441$	$5.70922$	$[1, 1, 0, -124027, -1641251]$	\(y^2+xy=x^3+x^2-124027x-1641251\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.h.2.9, 40.48.0-40.i.1.7, $\ldots$	$[(438, 5101)]$
4950.bg5	4950be2	4950.bg	4950be	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{12} \cdot 5^{8} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.3	2Cs	$1320$	$192$	$1$	$1.439849373$	$1$		$12$	$73728$	$2.122639$	$119102750067601/68309049600$	$1.06441$	$5.71982$	$[1, -1, 1, -230630, -3973003]$	\(y^2+xy+y=x^3-x^2-230630x-3973003\)	2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.h.2.32, 40.48.0-40.i.1.30, 60.48.0-60.c.1.8, $\ldots$	$[(-321, 6235)]$
7920.m5	7920bc2	7920.m	7920bc	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( 2^{20} \cdot 3^{12} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$73728$	$2.011066$	$119102750067601/68309049600$	$1.06441$	$5.27121$	$[0, 0, 0, -147603, 2063698]$	\(y^2=x^3-147603x+2063698\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 12.24.0-4.b.1.1, 20.24.0-4.b.1.2, $\ldots$	$[]$
10560.i5	10560bo2	10560.i	10560bo	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \)	\( 2^{26} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.20	2Cs	$1320$	$192$	$1$	$2.543756230$	$1$		$9$	$73728$	$1.808332$	$119102750067601/68309049600$	$1.06441$	$4.84495$	$[0, -1, 0, -65601, -589599]$	\(y^2=x^3-x^2-65601x-589599\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 24.48.0-24.h.2.3, 40.48.0-40.i.1.11, $\ldots$	$[(288, 2079)]$
10560.bk5	10560q2	10560.bk	10560q	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \)	\( 2^{26} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.21	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$73728$	$1.808332$	$119102750067601/68309049600$	$1.06441$	$4.84495$	$[0, 1, 0, -65601, 589599]$	\(y^2=x^3+x^2-65601x+589599\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 24.48.0-24.h.2.7, 40.48.0-40.i.1.1, $\ldots$	$[]$
10890.bi5	10890bo2	10890.bi	10890bo	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 11^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$1320$	$192$	$1$	$1$	$1$		$2$	$368640$	$2.516865$	$119102750067601/68309049600$	$1.06441$	$5.74358$	$[1, -1, 1, -1116248, 43197531]$	\(y^2+xy+y=x^3-x^2-1116248x+43197531\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.h.2.14, 40.48.0-40.i.1.25, $\ldots$	$[]$
13200.n5	13200bi2	13200.n	13200bi	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$221184$	$2.266479$	$119102750067601/68309049600$	$1.06441$	$5.31045$	$[0, -1, 0, -410008, -9417488]$	\(y^2=x^3-x^2-410008x-9417488\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.2, 20.24.0-4.b.1.1, $\ldots$	$[]$
16170.bz5	16170cb2	16170.bz	16170cb	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$0.247415242$	$1$		$26$	$147456$	$1.741568$	$119102750067601/68309049600$	$1.06441$	$4.54926$	$[1, 0, 0, -50226, -413820]$	\(y^2+xy=x^3-50226x-413820\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 28.24.0-4.b.1.3, 40.24.0.i.1, $\ldots$	$[(396, 6270)]$
18150.cz5	18150cp2	18150.cz	18150cp	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 11^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$1320$	$192$	$1$	$1$	$1$		$2$	$1105920$	$2.772278$	$119102750067601/68309049600$	$1.06441$	$5.75694$	$[1, 0, 0, -3100688, -198955008]$	\(y^2+xy=x^3-3100688x-198955008\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.h.2.19, 40.48.0-40.i.1.14, $\ldots$	$[]$
29040.de5	29040dh2	29040.de	29040dh	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{2} \cdot 11^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.24	2Cs	$1320$	$192$	$1$	$4.008097815$	$1$		$7$	$1105920$	$2.660706$	$119102750067601/68309049600$	$1.06441$	$5.36336$	$[0, 1, 0, -1984440, 101071188]$	\(y^2=x^3+x^2-1984440x+101071188\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.h.2.13, 40.48.0-40.i.1.13, $\ldots$	$[(1638, 35328)]$
31680.cq5	31680dh2	31680.cq	31680dh	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( 2^{26} \cdot 3^{12} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$589824$	$2.357639$	$119102750067601/68309049600$	$1.06441$	$4.96740$	$[0, 0, 0, -590412, 16509584]$	\(y^2=x^3-590412x+16509584\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.h.2.8, 40.48.0-40.i.1.21, $\ldots$	$[]$
31680.dd5	31680bu2	31680.dd	31680bu	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \)	\( 2^{26} \cdot 3^{12} \cdot 5^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$589824$	$2.357639$	$119102750067601/68309049600$	$1.06441$	$4.96740$	$[0, 0, 0, -590412, -16509584]$	\(y^2=x^3-590412x-16509584\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.h.2.4, 40.48.0-40.i.1.31, $\ldots$	$[]$
39600.cp5	39600dt2	39600.cp	39600dt	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{20} \cdot 3^{12} \cdot 5^{8} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.3	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$1769472$	$2.815784$	$119102750067601/68309049600$	$1.06441$	$5.38201$	$[0, 0, 0, -3690075, 257962250]$	\(y^2=x^3-3690075x+257962250\)	2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.h.2.28, 40.48.0-40.i.1.24, 60.48.0-60.c.1.1, $\ldots$	$[]$
48510.bc5	48510bn2	48510.bc	48510bn	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$1$	$1$		$2$	$1179648$	$2.290874$	$119102750067601/68309049600$	$1.06441$	$4.69698$	$[1, -1, 0, -452034, 11173140]$	\(y^2+xy=x^3-x^2-452034x+11173140\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 56.24.0-4.b.1.8, $\ldots$	$[]$
52800.cl5	52800f2	52800.cl	52800f	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{26} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$1320$	$192$	$1$	$9.784921227$	$1$		$3$	$1769472$	$2.613052$	$119102750067601/68309049600$	$1.06441$	$5.01590$	$[0, -1, 0, -1640033, 76979937]$	\(y^2=x^3-x^2-1640033x+76979937\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.h.2.29, 40.48.0-40.i.1.12, $\ldots$	$[(-191752/17, 145129725/17)]$
52800.fv5	52800gu2	52800.fv	52800gu	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{26} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$1769472$	$2.613052$	$119102750067601/68309049600$	$1.06441$	$5.01590$	$[0, 1, 0, -1640033, -76979937]$	\(y^2=x^3+x^2-1640033x-76979937\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.h.2.25, 40.48.0-40.i.1.2, $\ldots$	$[]$
54450.cc5	54450bp2	54450.cc	54450bp	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{12} \cdot 5^{8} \cdot 11^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.12	2Cs	$1320$	$192$	$1$	$8.148526313$	$1$		$2$	$8847360$	$3.321587$	$119102750067601/68309049600$	$1.06441$	$5.78143$	$[1, -1, 0, -27906192, 5371785216]$	\(y^2+xy=x^3-x^2-27906192x+5371785216\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.h.2.24, 40.48.0-40.i.1.20, $\ldots$	$[(-39536/5, 26775952/5)]$
55770.d5	55770a2	55770.d	55770a	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 13^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$3.002710886$	$1$		$8$	$737280$	$2.051086$	$119102750067601/68309049600$	$1.06441$	$4.37375$	$[1, 1, 0, -173228, 2551632]$	\(y^2+xy=x^3+x^2-173228x+2551632\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 52.24.0-4.b.1.3, $\ldots$	$[(8, 1076)]$
80850.bs5	80850w2	80850.bs	80850w	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$1.803411368$	$1$		$8$	$3538944$	$2.546288$	$119102750067601/68309049600$	$1.06441$	$4.75588$	$[1, 1, 0, -1255650, -51727500]$	\(y^2+xy=x^3+x^2-1255650x-51727500\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 56.24.0-4.b.1.3, $\ldots$	$[(-561, 22110)]$
87120.bg5	87120ed2	87120.bg	87120ed	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{20} \cdot 3^{12} \cdot 5^{2} \cdot 11^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$8847360$	$3.210014$	$119102750067601/68309049600$	$1.06441$	$5.42484$	$[0, 0, 0, -17859963, -2746782038]$	\(y^2=x^3-17859963x-2746782038\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.h.2.10, 40.48.0-40.i.1.19, $\ldots$	$[]$
95370.db5	95370cw2	95370.db	95370cw	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 17^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$22440$	$192$	$1$	$1.191347441$	$1$		$12$	$1966080$	$2.185219$	$119102750067601/68309049600$	$1.06441$	$4.30947$	$[1, 0, 0, -296231, 5842761]$	\(y^2+xy=x^3-296231x+5842761\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(-44, 4357)]$
116160.bj5	116160fc2	116160.bj	116160fc	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{26} \cdot 3^{6} \cdot 5^{2} \cdot 11^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.26	2Cs	$1320$	$192$	$1$	$13.71017051$	$1$		$3$	$8847360$	$3.007282$	$119102750067601/68309049600$	$1.06441$	$5.08243$	$[0, -1, 0, -7937761, 816507265]$	\(y^2=x^3-x^2-7937761x+816507265\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.h.2.11, 40.48.0-40.i.1.5, $\ldots$	$[(43370944/83, 255925825749/83)]$
116160.gg5	116160cw2	116160.gg	116160cw	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( 2^{26} \cdot 3^{6} \cdot 5^{2} \cdot 11^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.26	2Cs	$1320$	$192$	$1$	$6.785458650$	$1$		$3$	$8847360$	$3.007282$	$119102750067601/68309049600$	$1.06441$	$5.08243$	$[0, 1, 0, -7937761, -816507265]$	\(y^2=x^3+x^2-7937761x-816507265\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.h.2.15, 40.48.0-40.i.1.15, $\ldots$	$[(-3589/5, 2236416/5)]$
119130.s5	119130u2	119130.s	119130u	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 19^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$25080$	$192$	$1$	$1.332237921$	$1$		$14$	$2654208$	$2.240833$	$119102750067601/68309049600$	$1.06441$	$4.28455$	$[1, 0, 1, -370033, -8222332]$	\(y^2+xy+y=x^3-370033x-8222332\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(-293, 8810)]$
129360.a5	129360eb2	129360.a	129360eb	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{20} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$2.103644038$	$1$		$13$	$3538944$	$2.434715$	$119102750067601/68309049600$	$1.06441$	$4.45222$	$[0, -1, 0, -803616, 26484480]$	\(y^2=x^3-x^2-803616x+26484480\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 28.24.0-4.b.1.1, 40.24.0.i.1, $\ldots$	$[(-16, 6272)]$
145200.dj5	145200fs2	145200.dj	145200fs	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{8} \cdot 11^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$1320$	$192$	$1$	$13.07548590$	$1$		$3$	$26542080$	$3.465427$	$119102750067601/68309049600$	$1.06441$	$5.44956$	$[0, -1, 0, -49611008, 12733120512]$	\(y^2=x^3-x^2-49611008x+12733120512\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.h.2.23, 40.48.0-40.i.1.8, $\ldots$	$[(-2880803/59, 47381016650/59)]$
158400.ho5	158400ej2	158400.ho	158400ej	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{26} \cdot 3^{12} \cdot 5^{8} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.19	2Cs	$1320$	$192$	$1$	$11.15563992$	$1$		$3$	$14155776$	$3.162357$	$119102750067601/68309049600$	$1.06441$	$5.10620$	$[0, 0, 0, -14760300, 2063698000]$	\(y^2=x^3-14760300x+2063698000\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 24.48.0-24.h.2.30, 40.48.0-40.i.1.32, $\ldots$	$[(-619315/23, 1620514125/23)]$
158400.ix5	158400lr2	158400.ix	158400lr	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{26} \cdot 3^{12} \cdot 5^{8} \cdot 11^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.19	2Cs	$1320$	$192$	$1$	$6.545961070$	$1$		$5$	$14155776$	$3.162357$	$119102750067601/68309049600$	$1.06441$	$5.10620$	$[0, 0, 0, -14760300, -2063698000]$	\(y^2=x^3-14760300x-2063698000\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 24.48.0-24.h.2.26, 40.48.0-40.i.1.22, $\ldots$	$[(139285, 51962625)]$
167310.fg5	167310l2	167310.fg	167310l	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 11^{4} \cdot 13^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$1.477155642$	$1$		$12$	$5898240$	$2.600391$	$119102750067601/68309049600$	$1.06441$	$4.52230$	$[1, -1, 1, -1559057, -70453119]$	\(y^2+xy+y=x^3-x^2-1559057x-70453119\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(-81, 7476)]$
174570.bt5	174570bf2	174570.bt	174570bf	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 23^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$30360$	$192$	$1$	$3.006200656$	$1$		$6$	$4866048$	$2.336361$	$119102750067601/68309049600$	$1.06441$	$4.24388$	$[1, 1, 1, -542236, -14756611]$	\(y^2+xy+y=x^3+x^2-542236x-14756611\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(-331, 11505)]$
177870.dg5	177870gp2	177870.dg	177870gp	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 11^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$1$	$1$		$2$	$17694720$	$2.940514$	$119102750067601/68309049600$	$1.06441$	$4.83702$	$[1, 0, 1, -6077349, 544717072]$	\(y^2+xy+y=x^3-6077349x+544717072\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 56.24.0-4.b.1.5, $\ldots$	$[]$
242550.le5	242550le2	242550.le	242550le	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{12} \cdot 5^{8} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$1$	$1$		$2$	$28311552$	$3.095592$	$119102750067601/68309049600$	$1.06441$	$4.86611$	$[1, -1, 1, -11300855, 1385341647]$	\(y^2+xy+y=x^3-x^2-11300855x+1385341647\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 28.24.0-4.b.1.2, 40.24.0.i.1, $\ldots$	$[]$
277530.bo5	277530bo2	277530.bo	277530bo	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 29^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 29^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$38280$	$192$	$1$	$4.093455159$	$1$		$4$	$8601600$	$2.452259$	$119102750067601/68309049600$	$1.06441$	$4.19787$	$[1, 0, 1, -862043, 29055206]$	\(y^2+xy+y=x^3-862043x+29055206\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(1935, 73912)]$
278850.ig5	278850ig2	278850.ig	278850ig	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \cdot 13^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$1.380610110$	$1$		$12$	$17694720$	$2.855804$	$119102750067601/68309049600$	$1.06441$	$4.58250$	$[1, 0, 0, -4330713, 327615417]$	\(y^2+xy=x^3-4330713x+327615417\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(-558, 50979)]$
286110.cs5	286110cs2	286110.cs	286110cs	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 11^{4} \cdot 17^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$22440$	$192$	$1$	$1$	$1$		$2$	$15728640$	$2.734524$	$119102750067601/68309049600$	$1.06441$	$4.45729$	$[1, -1, 0, -2666079, -157754547]$	\(y^2+xy=x^3-x^2-2666079x-157754547\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[]$
317130.cu5	317130cu2	317130.cu	317130cu	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 31^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 31^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$40920$	$192$	$1$	$1.914236887$	$1$		$8$	$11796480$	$2.485607$	$119102750067601/68309049600$	$1.06441$	$4.18526$	$[1, 0, 0, -985045, -35660575]$	\(y^2+xy=x^3-985045x-35660575\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(2126, 85427)]$
348480.nv5	348480nv2	348480.nv	348480nv	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{26} \cdot 3^{12} \cdot 5^{2} \cdot 11^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$1320$	$192$	$1$	$1$	$9$	$3$	$3$	$70778880$	$3.556587$	$119102750067601/68309049600$	$1.06441$	$5.16143$	$[0, 0, 0, -71439852, 21974256304]$	\(y^2=x^3-71439852x+21974256304\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.h.2.12, 40.48.0-40.i.1.17, $\ldots$	$[]$
348480.nw5	348480nw2	348480.nw	348480nw	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{26} \cdot 3^{12} \cdot 5^{2} \cdot 11^{10} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$1320$	$192$	$1$	$24.33903395$	$1$		$3$	$70778880$	$3.556587$	$119102750067601/68309049600$	$1.06441$	$5.16143$	$[0, 0, 0, -71439852, -21974256304]$	\(y^2=x^3-71439852x-21974256304\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.h.2.16, 40.48.0-40.i.1.27, $\ldots$	$[(-722869083910/10393, 443947475333752832/10393)]$
357390.cs5	357390cs2	357390.cs	357390cs	$6$	$8$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 11^{4} \cdot 19^{6} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$25080$	$192$	$1$	$5.274968690$	$1$		$24$	$21233664$	$2.790138$	$119102750067601/68309049600$	$1.06441$	$4.43194$	$[1, -1, 1, -3330293, 222002957]$	\(y^2+xy+y=x^3-x^2-3330293x+222002957\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(2517, 86950), (-387, 38308)]$
388080.lz5	388080lz2	388080.lz	388080lz	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{20} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$9240$	$192$	$1$	$1$	$1$		$3$	$28311552$	$2.984020$	$119102750067601/68309049600$	$1.06441$	$4.58435$	$[0, 0, 0, -7232547, -707848414]$	\(y^2=x^3-7232547x-707848414\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 56.24.0-4.b.1.3, $\ldots$	$[]$
435600.lr5	435600lr2	435600.lr	435600lr	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{20} \cdot 3^{12} \cdot 5^{8} \cdot 11^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.12	2Cs	$1320$	$192$	$1$	$1$	$1$		$3$	$212336640$	$4.014732$	$119102750067601/68309049600$	$1.06441$	$5.49613$	$[0, 0, 0, -446499075, -343347754750]$	\(y^2=x^3-446499075x-343347754750\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.h.2.20, 40.48.0-40.i.1.26, $\ldots$	$[]$
446160.ft5	446160ft2	446160.ft	446160ft	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 13^{6} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$17160$	$192$	$1$	$3.183772915$	$1$		$27$	$17694720$	$2.744236$	$119102750067601/68309049600$	$1.06441$	$4.31401$	$[0, 1, 0, -2771656, -168847756]$	\(y^2=x^3+x^2-2771656x-168847756\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 52.24.0-4.b.1.1, $\ldots$	$[(2084, 55770), (-556, 34650)]$
451770.c5	451770c2	451770.c	451770c	$6$	$8$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 37^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 37^{6} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$48840$	$192$	$1$	$7.660168055$	$1$		$16$	$19464192$	$2.574070$	$119102750067601/68309049600$	$1.06441$	$4.15305$	$[1, 1, 0, -1403253, 59908653]$	\(y^2+xy=x^3+x^2-1403253x+59908653\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(-774, 26523), (-422, 24235)]$
476850.bk5	476850bk2	476850.bk	476850bk	$6$	$8$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \cdot 17^{6} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$22440$	$192$	$1$	$4.890047961$	$1$		$4$	$47185920$	$2.989937$	$119102750067601/68309049600$	$1.06441$	$4.51756$	$[1, 1, 0, -7405775, 730345125]$	\(y^2+xy=x^3+x^2-7405775x+730345125\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 40.24.0.i.1, 60.24.0.c.1, $\ldots$	$[(-1555, 92915)]$