Elliptic curve search results

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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
186.c1	186b2	186.c	186b	$2$	$5$	\( 2 \cdot 3 \cdot 31 \)	\( - 2 \cdot 3 \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$5$	5.24.0.3	5B.1.2	$3720$	$48$	$1$	$1$	$1$		$0$	$100$	$0.526340$	$-300238092661681/171774906$	$1.01002$	$6.37930$	$[1, 0, 0, -1395, -20181]$	\(y^2+xy=x^3-1395x-20181\)	5.24.0-5.a.2.2, 744.2.0.?, 3720.48.1.?	$[ ]$
558.a1	558d2	558.a	558d	$2$	$5$	\( 2 \cdot 3^{2} \cdot 31 \)	\( - 2 \cdot 3^{7} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$0.071901717$	$1$		$6$	$800$	$1.075647$	$-300238092661681/171774906$	$1.01002$	$6.31341$	$[1, -1, 0, -12555, 544887]$	\(y^2+xy=x^3-x^2-12555x+544887\)	5.12.0.a.2, 15.24.0-5.a.2.1, 744.2.0.?, 1240.24.0.?, 3720.48.1.?	$[(279, 4185)]$
1488.f1	1488h2	1488.f	1488h	$2$	$5$	\( 2^{4} \cdot 3 \cdot 31 \)	\( - 2^{13} \cdot 3 \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$1$	$1$		$0$	$2400$	$1.219488$	$-300238092661681/171774906$	$1.01002$	$5.70202$	$[0, -1, 0, -22320, 1291584]$	\(y^2=x^3-x^2-22320x+1291584\)	5.12.0.a.2, 20.24.0-5.a.2.2, 744.2.0.?, 3720.48.1.?	$[ ]$
4464.h1	4464s2	4464.h	4464s	$2$	$5$	\( 2^{4} \cdot 3^{2} \cdot 31 \)	\( - 2^{13} \cdot 3^{7} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$4.011046424$	$1$		$2$	$19200$	$1.768793$	$-300238092661681/171774906$	$1.01002$	$5.74098$	$[0, 0, 0, -200883, -34671886]$	\(y^2=x^3-200883x-34671886\)	5.12.0.a.2, 60.24.0-5.a.2.2, 744.2.0.?, 1240.24.0.?, 3720.48.1.?	$[(529, 2664)]$
4650.i1	4650e2	4650.i	4650e	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 31 \)	\( - 2 \cdot 3 \cdot 5^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.4	5B.1.3	$3720$	$48$	$1$	$1$	$1$		$0$	$14000$	$1.331059$	$-300238092661681/171774906$	$1.01002$	$5.09119$	$[1, 1, 0, -34875, -2522625]$	\(y^2+xy=x^3+x^2-34875x-2522625\)	5.24.0-5.a.2.1, 744.2.0.?, 3720.48.1.?	$[ ]$
5766.h1	5766g2	5766.h	5766g	$2$	$5$	\( 2 \cdot 3 \cdot 31^{2} \)	\( - 2 \cdot 3 \cdot 31^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$3.995665338$	$1$		$0$	$96000$	$2.243336$	$-300238092661681/171774906$	$1.01002$	$6.22889$	$[1, 1, 1, -1340615, 597190343]$	\(y^2+xy+y=x^3+x^2-1340615x+597190343\)	5.12.0.a.2, 120.24.0.?, 155.24.0.?, 744.2.0.?, 3720.48.1.?	$[(288061/20, 16509331/20)]$
5952.d1	5952f2	5952.d	5952f	$2$	$5$	\( 2^{6} \cdot 3 \cdot 31 \)	\( - 2^{19} \cdot 3 \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$1$	$1$		$0$	$19200$	$1.566061$	$-300238092661681/171774906$	$1.01002$	$5.27105$	$[0, -1, 0, -89281, -10243391]$	\(y^2=x^3-x^2-89281x-10243391\)	5.12.0.a.2, 40.24.0-5.a.2.3, 744.2.0.?, 1860.24.0.?, 3720.48.1.?	$[ ]$
5952.v1	5952ba2	5952.v	5952ba	$2$	$5$	\( 2^{6} \cdot 3 \cdot 31 \)	\( - 2^{19} \cdot 3 \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$1.836728731$	$1$		$2$	$19200$	$1.566061$	$-300238092661681/171774906$	$1.01002$	$5.27105$	$[0, 1, 0, -89281, 10243391]$	\(y^2=x^3+x^2-89281x+10243391\)	5.12.0.a.2, 40.24.0-5.a.2.1, 744.2.0.?, 930.24.0.?, 3720.48.1.?	$[(175, 96)]$
9114.t1	9114r2	9114.t	9114r	$2$	$5$	\( 2 \cdot 3 \cdot 7^{2} \cdot 31 \)	\( - 2 \cdot 3 \cdot 7^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$26040$	$48$	$1$	$3.775794919$	$1$		$0$	$36000$	$1.499296$	$-300238092661681/171774906$	$1.01002$	$4.93685$	$[1, 1, 1, -68356, 6853727]$	\(y^2+xy+y=x^3+x^2-68356x+6853727\)	5.12.0.a.2, 35.24.0-5.a.2.2, 744.2.0.?, 3720.24.1.?, 26040.48.1.?	$[(535/2, 2303/2)]$
13950.cv1	13950co2	13950.cv	13950co	$2$	$5$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 31 \)	\( - 2 \cdot 3^{7} \cdot 5^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$1$	$1$		$0$	$112000$	$1.880365$	$-300238092661681/171774906$	$1.01002$	$5.19582$	$[1, -1, 1, -313880, 67796997]$	\(y^2+xy+y=x^3-x^2-313880x+67796997\)	5.12.0.a.2, 15.24.0-5.a.2.2, 744.2.0.?, 1240.24.0.?, 3720.48.1.?	$[ ]$
17298.c1	17298g2	17298.c	17298g	$2$	$5$	\( 2 \cdot 3^{2} \cdot 31^{2} \)	\( - 2 \cdot 3^{7} \cdot 31^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$8.540683812$	$1$		$0$	$768000$	$2.792641$	$-300238092661681/171774906$	$1.01002$	$6.20312$	$[1, -1, 0, -12065535, -16136204801]$	\(y^2+xy=x^3-x^2-12065535x-16136204801\)	5.12.0.a.2, 40.24.0-5.a.2.5, 465.24.0.?, 744.2.0.?, 3720.48.1.?	$[(11027865/17, 36370104551/17)]$
17856.bs1	17856y2	17856.bs	17856y	$2$	$5$	\( 2^{6} \cdot 3^{2} \cdot 31 \)	\( - 2^{19} \cdot 3^{7} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$0.324305071$	$1$		$4$	$153600$	$2.115368$	$-300238092661681/171774906$	$1.01002$	$5.35285$	$[0, 0, 0, -803532, 277375088]$	\(y^2=x^3-803532x+277375088\)	5.12.0.a.2, 120.24.0.?, 620.24.0.?, 744.2.0.?, 3720.48.1.?	$[(494, 992)]$
17856.bv1	17856bq2	17856.bv	17856bq	$2$	$5$	\( 2^{6} \cdot 3^{2} \cdot 31 \)	\( - 2^{19} \cdot 3^{7} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$9.523248060$	$1$		$0$	$153600$	$2.115368$	$-300238092661681/171774906$	$1.01002$	$5.35285$	$[0, 0, 0, -803532, -277375088]$	\(y^2=x^3-803532x-277375088\)	5.12.0.a.2, 120.24.0.?, 310.24.0.?, 744.2.0.?, 3720.48.1.?	$[(95036/5, 28395216/5)]$
22506.p1	22506p2	22506.p	22506p	$2$	$5$	\( 2 \cdot 3 \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3 \cdot 11^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$40920$	$48$	$1$	$1$	$1$		$0$	$135000$	$1.725288$	$-300238092661681/171774906$	$1.01002$	$4.76214$	$[1, 0, 1, -168798, 26692114]$	\(y^2+xy+y=x^3-168798x+26692114\)	5.12.0.a.2, 55.24.0-5.a.2.1, 744.2.0.?, 3720.24.1.?, 40920.48.1.?	$[ ]$
27342.n1	27342f2	27342.n	27342f	$2$	$5$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 31 \)	\( - 2 \cdot 3^{7} \cdot 7^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$26040$	$48$	$1$	$13.97732496$	$1$		$0$	$288000$	$2.048603$	$-300238092661681/171774906$	$1.01002$	$5.05118$	$[1, -1, 0, -615204, -185665838]$	\(y^2+xy=x^3-x^2-615204x-185665838\)	5.12.0.a.2, 105.24.0.?, 744.2.0.?, 3720.24.1.?, 8680.24.0.?, $\ldots$	$[(23556899/50, 113331455257/50)]$
31434.g1	31434g2	31434.g	31434g	$2$	$5$	\( 2 \cdot 3 \cdot 13^{2} \cdot 31 \)	\( - 2 \cdot 3 \cdot 13^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$48360$	$48$	$1$	$1$	$25$	$5$	$0$	$234000$	$1.808815$	$-300238092661681/171774906$	$1.01002$	$4.70529$	$[1, 0, 1, -235759, -44101900]$	\(y^2+xy+y=x^3-235759x-44101900\)	5.12.0.a.2, 65.24.0-5.a.2.1, 744.2.0.?, 3720.24.1.?, 48360.48.1.?	$[ ]$
37200.co1	37200cu2	37200.co	37200cu	$2$	$5$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 31 \)	\( - 2^{13} \cdot 3 \cdot 5^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$4.461527748$	$1$		$2$	$336000$	$2.024208$	$-300238092661681/171774906$	$1.01002$	$4.87559$	$[0, 1, 0, -558008, 160331988]$	\(y^2=x^3+x^2-558008x+160331988\)	5.12.0.a.2, 20.24.0-5.a.2.1, 744.2.0.?, 3720.48.1.?	$[(222, 6888)]$
46128.w1	46128x2	46128.w	46128x	$2$	$5$	\( 2^{4} \cdot 3 \cdot 31^{2} \)	\( - 2^{13} \cdot 3 \cdot 31^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$1$	$25$	$5$	$0$	$2304000$	$2.936481$	$-300238092661681/171774906$	$1.01002$	$5.79730$	$[0, 1, 0, -21449840, -38263081644]$	\(y^2=x^3+x^2-21449840x-38263081644\)	5.12.0.a.2, 120.24.0.?, 620.24.0.?, 744.2.0.?, 3720.48.1.?	$[ ]$
53754.l1	53754i2	53754.l	53754i	$2$	$5$	\( 2 \cdot 3 \cdot 17^{2} \cdot 31 \)	\( - 2 \cdot 3 \cdot 17^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$63240$	$48$	$1$	$1$	$25$	$5$	$0$	$504000$	$1.942947$	$-300238092661681/171774906$	$1.01002$	$4.62129$	$[1, 1, 1, -403161, -98746095]$	\(y^2+xy+y=x^3+x^2-403161x-98746095\)	5.12.0.a.2, 85.24.0.?, 744.2.0.?, 3720.24.1.?, 63240.48.1.?	$[ ]$
67146.b1	67146a2	67146.b	67146a	$2$	$5$	\( 2 \cdot 3 \cdot 19^{2} \cdot 31 \)	\( - 2 \cdot 3 \cdot 19^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$70680$	$48$	$1$	$1$	$1$		$0$	$675000$	$1.998560$	$-300238092661681/171774906$	$1.01002$	$4.58884$	$[1, 1, 0, -503602, 137414278]$	\(y^2+xy=x^3+x^2-503602x+137414278\)	5.12.0.a.2, 95.24.0.?, 744.2.0.?, 3720.24.1.?, 70680.48.1.?	$[ ]$
67518.bm1	67518bz2	67518.bm	67518bz	$2$	$5$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3^{7} \cdot 11^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$40920$	$48$	$1$	$7.877136634$	$1$		$0$	$1080000$	$2.274593$	$-300238092661681/171774906$	$1.01002$	$4.88443$	$[1, -1, 1, -1519178, -720687085]$	\(y^2+xy+y=x^3-x^2-1519178x-720687085\)	5.12.0.a.2, 165.24.0.?, 744.2.0.?, 3720.24.1.?, 13640.24.0.?, $\ldots$	$[(7563/2, 442397/2)]$
72912.ca1	72912cx2	72912.ca	72912cx	$2$	$5$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 31 \)	\( - 2^{13} \cdot 3 \cdot 7^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$26040$	$48$	$1$	$4.900071626$	$1$		$2$	$864000$	$2.192444$	$-300238092661681/171774906$	$1.01002$	$4.76286$	$[0, 1, 0, -1093696, -440825932]$	\(y^2=x^3+x^2-1093696x-440825932\)	5.12.0.a.2, 140.24.0.?, 744.2.0.?, 3720.24.1.?, 26040.48.1.?	$[(1276, 15582)]$
94302.cg1	94302bw2	94302.cg	94302bw	$2$	$5$	\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 31 \)	\( - 2 \cdot 3^{7} \cdot 13^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$48360$	$48$	$1$	$10.31940904$	$1$		$0$	$1872000$	$2.358120$	$-300238092661681/171774906$	$1.01002$	$4.82947$	$[1, -1, 1, -2121827, 1190751293]$	\(y^2+xy+y=x^3-x^2-2121827x+1190751293\)	5.12.0.a.2, 195.24.0.?, 744.2.0.?, 3720.24.1.?, 16120.24.0.?, $\ldots$	$[(1779/10, 33946597/10)]$
98394.bl1	98394bq2	98394.bl	98394bq	$2$	$5$	\( 2 \cdot 3 \cdot 23^{2} \cdot 31 \)	\( - 2 \cdot 3 \cdot 23^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$85560$	$48$	$1$	$3.829018281$	$1$		$0$	$1232000$	$2.094086$	$-300238092661681/171774906$	$1.01002$	$4.53603$	$[1, 0, 0, -737966, 244066302]$	\(y^2+xy=x^3-737966x+244066302\)	5.12.0.a.2, 115.24.0.?, 744.2.0.?, 3720.24.1.?, 85560.48.1.?	$[(2223/2, 16821/2)]$
111600.bs1	111600ea2	111600.bs	111600ea	$2$	$5$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$14.90518867$	$1$		$0$	$2688000$	$2.573513$	$-300238092661681/171774906$	$1.01002$	$4.98187$	$[0, 0, 0, -5022075, -4333985750]$	\(y^2=x^3-5022075x-4333985750\)	5.12.0.a.2, 60.24.0-5.a.2.1, 744.2.0.?, 1240.24.0.?, 3720.48.1.?	$[(23104679/17, 111013904358/17)]$
138384.bh1	138384h2	138384.bh	138384h	$2$	$5$	\( 2^{4} \cdot 3^{2} \cdot 31^{2} \)	\( - 2^{13} \cdot 3^{7} \cdot 31^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$1$	$1$		$0$	$18432000$	$3.485786$	$-300238092661681/171774906$	$1.01002$	$5.81612$	$[0, 0, 0, -193048563, 1032910155826]$	\(y^2=x^3-193048563x+1032910155826\)	5.12.0.a.2, 40.24.0-5.a.2.7, 744.2.0.?, 1860.24.0.?, 3720.48.1.?	$[ ]$
144150.ci1	144150ds2	144150.ci	144150ds	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 31^{2} \)	\( - 2 \cdot 3 \cdot 5^{6} \cdot 31^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$13.84367672$	$1$		$0$	$13440000$	$3.048054$	$-300238092661681/171774906$	$1.01002$	$5.35392$	$[1, 0, 1, -33515376, 74715823648]$	\(y^2+xy+y=x^3-33515376x+74715823648\)	5.12.0.a.2, 120.24.0.?, 155.24.0.?, 744.2.0.?, 3720.48.1.?	$[(4107410548/999, 78301197074656/999)]$
148800.be1	148800ek2	148800.be	148800ek	$2$	$5$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 31 \)	\( - 2^{19} \cdot 3 \cdot 5^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$1$	$1$		$0$	$2688000$	$2.370781$	$-300238092661681/171774906$	$1.01002$	$4.65728$	$[0, -1, 0, -2232033, 1284887937]$	\(y^2=x^3-x^2-2232033x+1284887937\)	5.12.0.a.2, 40.24.0-5.a.2.2, 744.2.0.?, 930.24.0.?, 3720.48.1.?	$[ ]$
148800.kc1	148800ic2	148800.kc	148800ic	$2$	$5$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 31 \)	\( - 2^{19} \cdot 3 \cdot 5^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$8.685539837$	$1$		$0$	$2688000$	$2.370781$	$-300238092661681/171774906$	$1.01002$	$4.65728$	$[0, 1, 0, -2232033, -1284887937]$	\(y^2=x^3+x^2-2232033x-1284887937\)	5.12.0.a.2, 40.24.0-5.a.2.4, 744.2.0.?, 1860.24.0.?, 3720.48.1.?	$[(48523/3, 10225376/3)]$
156426.d1	156426r2	156426.d	156426r	$2$	$5$	\( 2 \cdot 3 \cdot 29^{2} \cdot 31 \)	\( - 2 \cdot 3 \cdot 29^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$107880$	$48$	$1$	$31.42941019$	$1$		$0$	$2520000$	$2.209988$	$-300238092661681/171774906$	$1.01002$	$4.47649$	$[1, 1, 0, -1173212, -489847998]$	\(y^2+xy=x^3+x^2-1173212x-489847998\)	5.12.0.a.2, 145.24.0.?, 744.2.0.?, 3720.24.1.?, 107880.48.1.?	$[(1244120583835879/283015, 43598752941172152754962/283015)]$
161262.l1	161262t2	161262.l	161262t	$2$	$5$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 31 \)	\( - 2 \cdot 3^{7} \cdot 17^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$63240$	$48$	$1$	$1$	$1$		$0$	$4032000$	$2.492252$	$-300238092661681/171774906$	$1.01002$	$4.74761$	$[1, -1, 0, -3628449, 2662516111]$	\(y^2+xy=x^3-x^2-3628449x+2662516111\)	5.12.0.a.2, 255.24.0.?, 744.2.0.?, 3720.24.1.?, 21080.24.0.?, $\ldots$	$[ ]$
180048.bf1	180048bt2	180048.bf	180048bt	$2$	$5$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 31 \)	\( - 2^{13} \cdot 3 \cdot 11^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$40920$	$48$	$1$	$19.30188435$	$1$		$0$	$3240000$	$2.418434$	$-300238092661681/171774906$	$1.01002$	$4.63117$	$[0, -1, 0, -2700760, -1708295312]$	\(y^2=x^3-x^2-2700760x-1708295312\)	5.12.0.a.2, 220.24.0.?, 744.2.0.?, 3720.24.1.?, 40920.48.1.?	$[(1104357396/215, 36609860674744/215)]$
184512.s1	184512ba2	184512.s	184512ba	$2$	$5$	\( 2^{6} \cdot 3 \cdot 31^{2} \)	\( - 2^{19} \cdot 3 \cdot 31^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$31.26970295$	$1$		$0$	$18432000$	$3.283054$	$-300238092661681/171774906$	$1.01002$	$5.47749$	$[0, -1, 0, -85799361, -306018853791]$	\(y^2=x^3-x^2-85799361x-306018853791\)	5.12.0.a.2, 30.24.0-5.a.2.1, 744.2.0.?, 1240.24.0.?, 3720.48.1.?	$[(10991175497344757/206567, 1151543893477323839863456/206567)]$
184512.ce1	184512bs2	184512.ce	184512bs	$2$	$5$	\( 2^{6} \cdot 3 \cdot 31^{2} \)	\( - 2^{19} \cdot 3 \cdot 31^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$6.364420646$	$1$		$0$	$18432000$	$3.283054$	$-300238092661681/171774906$	$1.01002$	$5.47749$	$[0, 1, 0, -85799361, 306018853791]$	\(y^2=x^3+x^2-85799361x+306018853791\)	5.12.0.a.2, 60.24.0-5.a.2.4, 744.2.0.?, 1240.24.0.?, 3720.48.1.?	$[(5372185/33, 1913535512/33)]$
201438.v1	201438g2	201438.v	201438g	$2$	$5$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 31 \)	\( - 2 \cdot 3^{7} \cdot 19^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$70680$	$48$	$1$	$1$	$25$	$5$	$0$	$5400000$	$2.547867$	$-300238092661681/171774906$	$1.01002$	$4.71578$	$[1, -1, 1, -4532423, -3714717927]$	\(y^2+xy+y=x^3-x^2-4532423x-3714717927\)	5.12.0.a.2, 285.24.0.?, 744.2.0.?, 3720.24.1.?, 23560.24.0.?, $\ldots$	$[ ]$
218736.dr1	218736bu2	218736.dr	218736bu	$2$	$5$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 31 \)	\( - 2^{13} \cdot 3^{7} \cdot 7^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$26040$	$48$	$1$	$0.243978850$	$1$		$6$	$6912000$	$2.741749$	$-300238092661681/171774906$	$1.01002$	$4.87340$	$[0, 0, 0, -9843267, 11892456898]$	\(y^2=x^3-9843267x+11892456898\)	5.12.0.a.2, 420.24.0.?, 744.2.0.?, 3720.24.1.?, 8680.24.0.?, $\ldots$	$[(-7, 109368)]$
227850.de1	227850gd2	227850.de	227850gd	$2$	$5$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 31 \)	\( - 2 \cdot 3 \cdot 5^{6} \cdot 7^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$26040$	$48$	$1$	$10.55144179$	$1$		$0$	$5040000$	$2.304016$	$-300238092661681/171774906$	$1.01002$	$4.43148$	$[1, 0, 1, -1708901, 860133698]$	\(y^2+xy+y=x^3-1708901x+860133698\)	5.12.0.a.2, 35.24.0-5.a.2.1, 744.2.0.?, 3720.24.1.?, 26040.48.1.?	$[(-173872/11, 25826634/11)]$
251472.k1	251472k2	251472.k	251472k	$2$	$5$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 31 \)	\( - 2^{13} \cdot 3 \cdot 13^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$48360$	$48$	$1$	$0.684066525$	$1$		$6$	$5616000$	$2.501961$	$-300238092661681/171774906$	$1.01002$	$4.58735$	$[0, -1, 0, -3772136, 2822521584]$	\(y^2=x^3-x^2-3772136x+2822521584\)	5.12.0.a.2, 260.24.0.?, 744.2.0.?, 3720.24.1.?, 48360.48.1.?	$[(988, 7688)]$
254634.f1	254634f2	254634.f	254634f	$2$	$5$	\( 2 \cdot 3 \cdot 31 \cdot 37^{2} \)	\( - 2 \cdot 3 \cdot 31^{5} \cdot 37^{6} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$137640$	$48$	$1$	$43.34312876$	$1$		$2$	$5184000$	$2.331799$	$-300238092661681/171774906$	$1.01002$	$4.41870$	$[1, 0, 1, -1909784, -1016498872]$	\(y^2+xy+y=x^3-1909784x-1016498872\)	5.12.0.a.2, 185.24.0.?, 744.2.0.?, 3720.24.1.?, 137640.48.1.?	$[(2852, 127944), (753131/14, 598299645/14)]$
282534.cy1	282534cy2	282534.cy	282534cy	$2$	$5$	\( 2 \cdot 3 \cdot 7^{2} \cdot 31^{2} \)	\( - 2 \cdot 3 \cdot 7^{6} \cdot 31^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$26040$	$48$	$1$	$6.125990752$	$25$	$5$	$0$	$34560000$	$3.216290$	$-300238092661681/171774906$	$1.01002$	$5.22772$	$[1, 0, 0, -65690136, -205033358118]$	\(y^2+xy=x^3-65690136x-205033358118\)	5.12.0.a.2, 744.2.0.?, 840.24.0.?, 1085.24.0.?, 3720.24.1.?, $\ldots$	$[(80579/2, 20544403/2)]$
291648.dc1	291648dc2	291648.dc	291648dc	$2$	$5$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 31 \)	\( - 2^{19} \cdot 3 \cdot 7^{6} \cdot 31^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$26040$	$48$	$1$	$6.351714530$	$1$		$8$	$6912000$	$2.539017$	$-300238092661681/171774906$	$1.01002$	$4.56865$	$[0, -1, 0, -4374785, -3522232671]$	\(y^2=x^3-x^2-4374785x-3522232671\)	5.12.0.a.2, 280.24.0.?, 744.2.0.?, 3720.24.1.?, 6510.24.0.?, $\ldots$	$[(2485, 30752), (24349/3, 1798496/3)]$
291648.hx1	291648hx2	291648.hx	291648hx	$2$	$5$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 31 \)	\( - 2^{19} \cdot 3 \cdot 7^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$26040$	$48$	$1$	$11.72026567$	$1$		$0$	$6912000$	$2.539017$	$-300238092661681/171774906$	$1.01002$	$4.56865$	$[0, 1, 0, -4374785, 3522232671]$	\(y^2=x^3+x^2-4374785x+3522232671\)	5.12.0.a.2, 280.24.0.?, 744.2.0.?, 3720.24.1.?, 13020.24.0.?, $\ldots$	$[(5042829/65, 426882708/65)]$
295182.u1	295182u2	295182.u	295182u	$2$	$5$	\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 31 \)	\( - 2 \cdot 3^{7} \cdot 23^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$85560$	$48$	$1$	$1$	$1$		$0$	$9856000$	$2.643394$	$-300238092661681/171774906$	$1.01002$	$4.66372$	$[1, -1, 0, -6641694, -6589790154]$	\(y^2+xy=x^3-x^2-6641694x-6589790154\)	5.12.0.a.2, 345.24.0.?, 744.2.0.?, 3720.24.1.?, 28520.24.0.?, $\ldots$	$[ ]$
312666.p1	312666p2	312666.p	312666p	$2$	$5$	\( 2 \cdot 3 \cdot 31 \cdot 41^{2} \)	\( - 2 \cdot 3 \cdot 31^{5} \cdot 41^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$152520$	$48$	$1$	$24.29776731$	$1$		$0$	$7040000$	$2.383125$	$-300238092661681/171774906$	$1.01002$	$4.39568$	$[1, 1, 1, -2345030, -1383859651]$	\(y^2+xy+y=x^3+x^2-2345030x-1383859651\)	5.12.0.a.2, 205.24.0.?, 744.2.0.?, 3720.24.1.?, 152520.48.1.?	$[(1183093955549/17780, 1145142998779608233/17780)]$
343914.b1	343914b2	343914.b	343914b	$2$	$5$	\( 2 \cdot 3 \cdot 31 \cdot 43^{2} \)	\( - 2 \cdot 3 \cdot 31^{5} \cdot 43^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$159960$	$48$	$1$	$1.794486360$	$1$		$0$	$7980000$	$2.406940$	$-300238092661681/171774906$	$1.01002$	$4.38525$	$[1, 1, 0, -2579393, 1594213239]$	\(y^2+xy=x^3+x^2-2579393x+1594213239\)	5.12.0.a.2, 215.24.0.?, 744.2.0.?, 3720.24.1.?, 159960.48.1.?	$[(22597/4, 1731695/4)]$
410874.t1	410874t2	410874.t	410874t	$2$	$5$	\( 2 \cdot 3 \cdot 31 \cdot 47^{2} \)	\( - 2 \cdot 3 \cdot 31^{5} \cdot 47^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$174840$	$48$	$1$	$1$	$25$	$5$	$0$	$10373000$	$2.451416$	$-300238092661681/171774906$	$1.01002$	$4.36618$	$[1, 0, 0, -3081601, 2082925619]$	\(y^2+xy=x^3-3081601x+2082925619\)	5.12.0.a.2, 235.24.0.?, 744.2.0.?, 3720.24.1.?, 174840.48.1.?	$[ ]$
430032.bg1	430032bg2	430032.bg	430032bg	$2$	$5$	\( 2^{4} \cdot 3 \cdot 17^{2} \cdot 31 \)	\( - 2^{13} \cdot 3 \cdot 17^{6} \cdot 31^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$63240$	$48$	$1$	$1$	$1$		$0$	$12096000$	$2.636093$	$-300238092661681/171774906$	$1.01002$	$4.52169$	$[0, 1, 0, -6450576, 6306848916]$	\(y^2=x^3+x^2-6450576x+6306848916\)	5.12.0.a.2, 340.24.0.?, 744.2.0.?, 3720.24.1.?, 63240.48.1.?	$[ ]$
432450.hc1	432450hc2	432450.hc	432450hc	$2$	$5$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( - 2 \cdot 3^{7} \cdot 5^{6} \cdot 31^{11} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$87.55527187$	$1$		$0$	$107520000$	$3.597359$	$-300238092661681/171774906$	$1.01002$	$5.40862$	$[1, -1, 1, -301638380, -2017327238503]$	\(y^2+xy+y=x^3-x^2-301638380x-2017327238503\)	5.12.0.a.2, 40.24.0-5.a.2.6, 465.24.0.?, 744.2.0.?, 3720.48.1.?	$[(95295/2, 16528079/2), (336147075394995/78854, 5781327187672801634267/78854)]$
446400.ft1	446400ft2	446400.ft	446400ft	$2$	$5$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 31 \)	\( - 2^{19} \cdot 3^{7} \cdot 5^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$22.98942465$	$1$		$0$	$21504000$	$2.920086$	$-300238092661681/171774906$	$1.01002$	$4.77067$	$[0, 0, 0, -20088300, -34671886000]$	\(y^2=x^3-20088300x-34671886000\)	5.12.0.a.2, 120.24.0.?, 310.24.0.?, 744.2.0.?, 3720.48.1.?	$[(195857829946/5537, 53065023250986144/5537)]$
446400.nz1	446400nz2	446400.nz	446400nz	$2$	$5$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 31 \)	\( - 2^{19} \cdot 3^{7} \cdot 5^{6} \cdot 31^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.12.0.2	5B.4.2	$3720$	$48$	$1$	$1.382759818$	$1$		$2$	$21504000$	$2.920086$	$-300238092661681/171774906$	$1.01002$	$4.77067$	$[0, 0, 0, -20088300, 34671886000]$	\(y^2=x^3-20088300x+34671886000\)	5.12.0.a.2, 120.24.0.?, 620.24.0.?, 744.2.0.?, 3720.48.1.?	$[(2501, 8649)]$

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