Elliptic curves over $\Q$ of conductor 2960

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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
2960.a1	2960h1	2960.a	2960h	$1$	$1$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{8} \cdot 5^{8} \cdot 37^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$49920$	$1.879499$	$4565397831743545344/27087483203125$	$1.06530$	$6.06913$	$[0, 0, 0, -219448, -39364772]$	\(y^2=x^3-219448x-39364772\)	74.2.0.?	$[]$
2960.b1	2960d1	2960.b	2960d	$1$	$1$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{11} \cdot 5^{3} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$0.103147499$	$1$		$10$	$480$	$0.017538$	$-2/4625$	$1.04026$	$2.94242$	$[0, 1, 0, 0, 148]$	\(y^2=x^3+x^2+148\)	1480.2.0.?	$[(6, 20)]$
2960.c1	2960l1	2960.c	2960l	$1$	$1$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{23} \cdot 5 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1480$	$2$	$0$	$0.585252191$	$1$		$4$	$1056$	$0.448417$	$214921799/378880$	$0.86906$	$3.53056$	$[0, 1, 0, 200, 1620]$	\(y^2=x^3+x^2+200x+1620\)	1480.2.0.?	$[(38, 256)]$
2960.d1	2960i2	2960.d	2960i	$2$	$3$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{8} \cdot 5^{6} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$444$	$16$	$0$	$0.443491995$	$1$		$4$	$1728$	$0.875587$	$750484394082304/578125$	$1.10880$	$4.97901$	$[0, -1, 0, -12021, 511321]$	\(y^2=x^3-x^2-12021x+511321\)	3.4.0.a.1, 12.8.0-3.a.1.2, 74.2.0.?, 222.8.0.?, 444.16.0.?	$[(81, 250)]$
2960.d2	2960i1	2960.d	2960i	$2$	$3$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{8} \cdot 5^{2} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$444$	$16$	$0$	$0.147830665$	$1$		$8$	$576$	$0.326280$	$2575826944/1266325$	$0.99189$	$3.40483$	$[0, -1, 0, -181, 425]$	\(y^2=x^3-x^2-181x+425\)	3.4.0.a.1, 12.8.0-3.a.1.1, 74.2.0.?, 222.8.0.?, 444.16.0.?	$[(53, 370)]$
2960.e1	2960f1	2960.e	2960f	$1$	$1$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{12} \cdot 5^{4} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$1920$	$0.596675$	$422550360064/23125$	$0.92409$	$4.38979$	$[0, -1, 0, -2501, -47315]$	\(y^2=x^3-x^2-2501x-47315\)	74.2.0.?	$[]$
2960.f1	2960b1	2960.f	2960b	$1$	$1$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{8} \cdot 5^{10} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$0.300341942$	$1$		$4$	$1920$	$0.823084$	$1995203838976/361328125$	$0.92806$	$4.23710$	$[0, -1, 0, -1665, 22237]$	\(y^2=x^3-x^2-1665x+22237\)	74.2.0.?	$[(4, 125)]$
2960.g1	2960e3	2960.g	2960e	$4$	$4$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{13} \cdot 5^{4} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$1536$	$0.769658$	$6825481747209/46250$	$0.96373$	$4.73786$	$[0, 0, 0, -6323, 193522]$	\(y^2=x^3-6323x+193522\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.14, 148.12.0.?, $\ldots$	$[]$
2960.g2	2960e2	2960.g	2960e	$4$	$4$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{14} \cdot 5^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1480$	$48$	$0$	$1$	$1$		$3$	$768$	$0.423084$	$1767172329/136900$	$0.99471$	$3.70457$	$[0, 0, 0, -403, 2898]$	\(y^2=x^3-403x+2898\)	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.2, 148.12.0.?, $\ldots$	$[]$
2960.g3	2960e1	2960.g	2960e	$4$	$4$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{16} \cdot 5 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$384$	$0.076511$	$15438249/2960$	$0.81779$	$3.11151$	$[0, 0, 0, -83, -238]$	\(y^2=x^3-83x-238\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.y.1.1, $\ldots$	$[]$
2960.g4	2960e4	2960.g	2960e	$4$	$4$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{13} \cdot 5 \cdot 37^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$1536$	$0.769658$	$1689410871/18741610$	$1.06786$	$4.06173$	$[0, 0, 0, 397, 12978]$	\(y^2=x^3+397x+12978\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.2, 40.24.0-40.s.1.2, $\ldots$	$[]$
2960.h1	2960k1	2960.h	2960k	$1$	$1$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{8} \cdot 5^{4} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$0.244736201$	$1$		$4$	$384$	$-0.010884$	$40247296/23125$	$0.95030$	$2.88451$	$[0, 1, 0, -45, -25]$	\(y^2=x^3+x^2-45x-25\)	74.2.0.?	$[(-5, 10)]$
2960.i1	2960m1	2960.i	2960m	$1$	$1$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{12} \cdot 5^{2} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$576$	$0.017763$	$16777216/925$	$0.94517$	$3.12192$	$[0, 1, 0, -85, -317]$	\(y^2=x^3+x^2-85x-317\)	74.2.0.?	$[]$
2960.j1	2960j1	2960.j	2960j	$3$	$9$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{13} \cdot 5 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$13320$	$144$	$3$	$2.402409187$	$1$		$2$	$864$	$0.301934$	$-16954786009/370$	$0.88414$	$3.98747$	$[0, -1, 0, -856, -9360]$	\(y^2=x^3-x^2-856x-9360\)	3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 36.24.0-9.a.1.2, 333.36.0.?, $\ldots$	$[(36, 72)]$
2960.j2	2960j2	2960.j	2960j	$3$	$9$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{15} \cdot 5^{3} \cdot 37^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$13320$	$144$	$3$	$0.800803062$	$1$		$2$	$2592$	$0.851240$	$-702595369/50653000$	$0.95453$	$4.19382$	$[0, -1, 0, -296, -21904]$	\(y^2=x^3-x^2-296x-21904\)	3.12.0.a.1, 12.24.0-3.a.1.1, 333.36.0.?, 1332.72.0.?, 1480.2.0.?, $\ldots$	$[(148, 1776)]$
2960.j3	2960j3	2960.j	2960j	$3$	$9$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{21} \cdot 5^{9} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$13320$	$144$	$3$	$2.402409187$	$1$		$2$	$7776$	$1.400547$	$510273943271/37000000000$	$0.99687$	$5.01676$	$[0, -1, 0, 2664, 589040]$	\(y^2=x^3-x^2+2664x+589040\)	3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 36.24.0-9.a.1.1, 333.36.0.?, $\ldots$	$[(140, 1920)]$
2960.k1	2960g1	2960.k	2960g	$2$	$2$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{12} \cdot 5 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$384$	$-0.103923$	$4826809/185$	$0.89280$	$2.96605$	$[0, -1, 0, -56, 176]$	\(y^2=x^3-x^2-56x+176\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 370.6.0.?, 740.24.0.?, $\ldots$	$[]$
2960.k2	2960g2	2960.k	2960g	$2$	$2$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{12} \cdot 5^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$1480$	$48$	$0$	$1$	$1$		$1$	$768$	$0.242650$	$357911/34225$	$0.88506$	$3.27878$	$[0, -1, 0, 24, 560]$	\(y^2=x^3-x^2+24x+560\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 740.12.0.?, 1480.48.0.?	$[]$
2960.l1	2960c1	2960.l	2960c	$2$	$2$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{8} \cdot 5 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$1480$	$48$	$0$	$5.137836586$	$1$		$1$	$384$	$-0.214353$	$94875856/185$	$0.77951$	$2.99180$	$[0, -1, 0, -60, -160]$	\(y^2=x^3-x^2-60x-160\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 370.6.0.?, 740.24.0.?, $\ldots$	$[(133/3, 1196/3)]$
2960.l2	2960c2	2960.l	2960c	$2$	$2$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{10} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.12	2B	$1480$	$48$	$0$	$2.568918293$	$1$		$3$	$768$	$0.132220$	$-7086244/34225$	$0.93799$	$3.12026$	$[0, -1, 0, -40, -288]$	\(y^2=x^3-x^2-40x-288\)	2.3.0.a.1, 4.12.0-4.a.1.1, 740.24.0.?, 1480.48.0.?	$[(54, 390)]$
2960.m1	2960n3	2960.m	2960n	$4$	$6$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{16} \cdot 5 \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.21, 3.4.0.1	2B, 3B	$4440$	$384$	$9$	$1$	$1$		$1$	$6912$	$1.336655$	$16232905099479601/4052240$	$0.97924$	$5.71048$	$[0, -1, 0, -84400, 9465792]$	\(y^2=x^3-x^2-84400x+9465792\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.3, $\ldots$	$[]$
2960.m2	2960n4	2960.m	2960n	$4$	$6$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{14} \cdot 5^{2} \cdot 37^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.12, 3.4.0.1	2B, 3B	$4440$	$384$	$9$	$1$	$1$		$1$	$13824$	$1.683229$	$-16048965315233521/256572640900$	$0.97955$	$5.71247$	$[0, -1, 0, -84080, 9540800]$	\(y^2=x^3-x^2-84080x+9540800\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.a.1.1, 6.24.0-6.a.1.3, 12.96.0-12.b.2.1, $\ldots$	$[]$
2960.m3	2960n1	2960.m	2960n	$4$	$6$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{24} \cdot 5^{3} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.12.0.21, 3.4.0.1	2B, 3B	$4440$	$384$	$9$	$1$	$1$		$1$	$2304$	$0.787349$	$46694890801/18944000$	$0.91392$	$4.11421$	$[0, -1, 0, -1200, 9152]$	\(y^2=x^3-x^2-1200x+9152\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.3, $\ldots$	$[]$
2960.m4	2960n2	2960.m	2960n	$4$	$6$	\( 2^{4} \cdot 5 \cdot 37 \)	\( - 2^{18} \cdot 5^{6} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.12.0.12, 3.4.0.1	2B, 3B	$4440$	$384$	$9$	$1$	$1$		$1$	$4608$	$1.133923$	$1625964918479/1369000000$	$0.94818$	$4.55838$	$[0, -1, 0, 3920, 62400]$	\(y^2=x^3-x^2+3920x+62400\)	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.a.1.1, 6.24.0-6.a.1.1, 12.96.0-12.b.1.5, $\ldots$	$[]$
2960.n1	2960a1	2960.n	2960a	$1$	$1$	\( 2^{4} \cdot 5 \cdot 37 \)	\( 2^{8} \cdot 5^{2} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$74$	$2$	$0$	$1$	$1$		$0$	$896$	$-0.231636$	$9483264/925$	$0.74723$	$2.70366$	$[0, 0, 0, -28, -52]$	\(y^2=x^3-28x-52\)	74.2.0.?	$[]$

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