Elliptic curves over $\Q$ of conductor 12880

Results (1-50 of 53 matches)

  Download displayed columns for results to

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
12880.a1	12880r1	12880.a	12880r	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 5 \cdot 7^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.911086370$	$1$		$2$	$14400$	$0.521998$	$-242970624/907235$	$0.84884$	$3.13150$	$[0, 0, 0, -208, -3152]$	\(y^2=x^3-208x-3152\)	70.2.0.a.1	$[(33, 161)]$
12880.b1	12880i2	12880.b	12880i	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 5^{2} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$1288$	$12$	$0$	$1.034298396$	$1$		$7$	$9216$	$0.575394$	$75933869762/648025$	$0.84656$	$3.45305$	$[0, 1, 0, -1120, -14700]$	\(y^2=x^3+x^2-1120x-14700\)	2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.?	$[(-20, 10)]$
12880.b2	12880i1	12880.b	12880i	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 5^{4} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1288$	$12$	$0$	$0.517149198$	$1$		$9$	$4608$	$0.228820$	$188183524/100625$	$0.93120$	$2.74577$	$[0, 1, 0, -120, 100]$	\(y^2=x^3+x^2-120x+100\)	2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.?	$[(0, 10)]$
12880.c1	12880a1	12880.c	12880a	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.961878901$	$1$		$2$	$3456$	$0.282203$	$-3525581824/462875$	$0.80077$	$2.93054$	$[0, -1, 0, -201, 1285]$	\(y^2=x^3-x^2-201x+1285\)	70.2.0.a.1	$[(4, 23)]$
12880.d1	12880v1	12880.d	12880v	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 23^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.225519322$	$1$		$2$	$107520$	$1.946896$	$7384729019637956864/6036585758984375$	$0.98302$	$4.88391$	$[0, -1, 0, 102230, -8114725]$	\(y^2=x^3-x^2+102230x-8114725\)	46.2.0.a.1	$[(265, 6125)]$
12880.e1	12880x1	12880.e	12880x	$2$	$3$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$276$	$16$	$0$	$1$	$1$		$0$	$141696$	$2.040222$	$-126142795384287538429696/9315359375$	$1.00310$	$5.91374$	$[0, -1, 0, -2632810, -1643408833]$	\(y^2=x^3-x^2-2632810x-1643408833\)	3.4.0.a.1, 12.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 276.16.0.?	$[ ]$
12880.e2	12880x2	12880.e	12880x	$2$	$3$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$276$	$16$	$0$	$1$	$1$		$0$	$425088$	$2.589531$	$-122372013839654770813696/5297595236711512175$	$1.00374$	$5.91816$	$[0, -1, 0, -2606310, -1678138133]$	\(y^2=x^3-x^2-2606310x-1678138133\)	3.4.0.a.1, 12.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 276.16.0.?	$[ ]$
12880.f1	12880m3	12880.f	12880m	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 5 \cdot 7^{3} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$10.32560005$	$1$		$1$	$73728$	$1.828875$	$5421065386069310769/1919709260$	$0.99514$	$5.43720$	$[0, 0, 0, -585563, -172467958]$	\(y^2=x^3-585563x-172467958\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[(57031/3, 13515346/3)]$
12880.f2	12880m2	12880.f	12880m	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 5^{2} \cdot 7^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3220$	$48$	$0$	$5.162800028$	$1$		$5$	$36864$	$1.482302$	$1341518286067569/24894528400$	$1.02055$	$4.55969$	$[0, 0, 0, -36763, -2669238]$	\(y^2=x^3-36763x-2669238\)	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 92.12.0.?, 140.24.0.?, $\ldots$	$[(239, 1482)]$
12880.f3	12880m1	12880.f	12880m	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 5^{4} \cdot 7^{3} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$2.581400014$	$1$		$5$	$18432$	$1.135729$	$2917464019569/1262240000$	$0.93001$	$3.91185$	$[0, 0, 0, -4763, 63562]$	\(y^2=x^3-4763x+63562\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.5, 92.12.0.?, $\ldots$	$[(111, 950)]$
12880.f4	12880m4	12880.f	12880m	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 5 \cdot 7^{12} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$10.32560005$	$1$		$1$	$73728$	$1.828875$	$1367631/6366992112460$	$1.34194$	$4.78205$	$[0, 0, 0, 37, -7769718]$	\(y^2=x^3+37x-7769718\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, 92.12.0.?, $\ldots$	$[(36711/13, 3465714/13)]$
12880.g1	12880p1	12880.g	12880p	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{12} \cdot 5^{2} \cdot 7^{3} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.453595637$	$1$		$9$	$9216$	$0.671131$	$476196576129/197225$	$0.89047$	$3.72031$	$[0, 0, 0, -2603, 51098]$	\(y^2=x^3-2603x+51098\)	2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?	$[(31, 14)]$
12880.g2	12880p2	12880.g	12880p	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 5 \cdot 7^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.907191274$	$1$		$5$	$18432$	$1.017704$	$-288673724529/311181605$	$1.03586$	$3.77856$	$[0, 0, 0, -2203, 67338]$	\(y^2=x^3-2203x+67338\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(-9, 294)]$
12880.h1	12880b3	12880.h	12880b	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 5^{4} \cdot 7 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$5120$	$0.651071$	$4407931365156/100625$	$0.89841$	$3.80897$	$[0, 0, 0, -3443, -77758]$	\(y^2=x^3-3443x-77758\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 92.12.0.?, $\ldots$	$[ ]$
12880.h2	12880b4	12880.h	12880b	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 5 \cdot 7 \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$5120$	$0.651071$	$84923690436/9794435$	$0.86089$	$3.39163$	$[0, 0, 0, -923, 9658]$	\(y^2=x^3-923x+9658\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 28.12.0-4.c.1.1, 140.24.0.?, $\ldots$	$[ ]$
12880.h3	12880b2	12880.h	12880b	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 5^{2} \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$3220$	$48$	$0$	$1$	$1$		$3$	$2560$	$0.304497$	$4790692944/648025$	$0.84837$	$2.94133$	$[0, 0, 0, -223, -1122]$	\(y^2=x^3-223x-1122\)	2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 92.12.0.?, 140.24.0.?, $\ldots$	$[ ]$
12880.h4	12880b1	12880.h	12880b	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5 \cdot 7^{4} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$1280$	$-0.042077$	$73598976/276115$	$0.87524$	$2.38691$	$[0, 0, 0, 22, -93]$	\(y^2=x^3+22x-93\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.5, 92.12.0.?, $\ldots$	$[ ]$
12880.i1	12880s2	12880.i	12880s	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{19} \cdot 5^{8} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$64512$	$1.775103$	$420676324562824569/56350000000$	$1.07730$	$5.16709$	$[0, 0, 0, -249763, 48038562]$	\(y^2=x^3-249763x+48038562\)	2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?	$[ ]$
12880.i2	12880s1	12880.i	12880s	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{26} \cdot 5^{4} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$32256$	$1.428530$	$-78013216986489/37918720000$	$0.94371$	$4.32352$	$[0, 0, 0, -14243, 887458]$	\(y^2=x^3-14243x+887458\)	2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?	$[ ]$
12880.j1	12880o1	12880.j	12880o	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{28} \cdot 5^{2} \cdot 7 \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$5.274959596$	$1$		$3$	$36864$	$1.523727$	$270701905514769/139540889600$	$0.97593$	$4.39056$	$[0, 0, 0, -21563, -402838]$	\(y^2=x^3-21563x-402838\)	2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?	$[(319, 5018)]$
12880.j2	12880o2	12880.j	12880o	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{20} \cdot 5 \cdot 7^{2} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$10.54991919$	$1$		$1$	$73728$	$1.870300$	$14262456319278831/9284810958080$	$1.03253$	$4.80948$	$[0, 0, 0, 80837, -3126678]$	\(y^2=x^3+80837x-3126678\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(43671/13, 13000866/13)]$
12880.k1	12880q3	12880.k	12880q	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{12} \cdot 5^{8} \cdot 7^{3} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1288$	$48$	$0$	$4.447204398$	$1$		$1$	$92160$	$1.865059$	$8244966675515989329/3081640625$	$1.02479$	$5.48151$	$[0, 0, 0, -673403, -212696598]$	\(y^2=x^3-673403x-212696598\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 56.24.0-56.z.1.2, $\ldots$	$[(11359/3, 831250/3)]$
12880.k2	12880q4	12880.k	12880q	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{12} \cdot 5^{2} \cdot 7^{12} \cdot 23 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1288$	$48$	$0$	$4.447204398$	$1$		$3$	$92160$	$1.865059$	$18577831198352049/7958740140575$	$0.98653$	$4.83741$	$[0, 0, 0, -88283, 5145418]$	\(y^2=x^3-88283x+5145418\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.4, 92.24.0.?, 1288.48.0.?	$[(201/2, 7315/2)]$
12880.k3	12880q2	12880.k	12880q	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{12} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$644$	$48$	$0$	$2.223602199$	$1$		$7$	$46080$	$1.518486$	$2041085246738049/38897700625$	$0.98784$	$4.60404$	$[0, 0, 0, -42283, -3290982]$	\(y^2=x^3-42283x-3290982\)	2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.2, 92.24.0.?, 644.48.0.?	$[(-113, 210)]$
12880.k4	12880q1	12880.k	12880q	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 5^{2} \cdot 7^{3} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1288$	$48$	$0$	$1.111801099$	$1$		$7$	$23040$	$1.171913$	$1367631/2399636575$	$1.10432$	$3.94900$	$[0, 0, 0, 37, -150838]$	\(y^2=x^3+37x-150838\)	2.3.0.a.1, 4.12.0-4.c.1.2, 14.6.0.b.1, 28.24.0-28.g.1.1, 184.24.0.?, $\ldots$	$[(61, 280)]$
12880.l1	12880j1	12880.l	12880j	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 5^{2} \cdot 7 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$1280$	$-0.106505$	$44851536/4025$	$0.75606$	$2.44774$	$[0, 0, 0, -47, -114]$	\(y^2=x^3-47x-114\)	2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?	$[ ]$
12880.l2	12880j2	12880.l	12880j	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$2560$	$0.240068$	$16078716/129605$	$0.85853$	$2.75629$	$[0, 0, 0, 53, -534]$	\(y^2=x^3+53x-534\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[ ]$
12880.m1	12880y3	12880.m	12880y	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{13} \cdot 5 \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$6440$	$48$	$0$	$4.095129740$	$1$		$3$	$24576$	$1.283041$	$70016546394529281/1610$	$0.97475$	$4.97761$	$[0, 0, 0, -137387, 19600474]$	\(y^2=x^3-137387x+19600474\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.5, 644.12.0.?, $\ldots$	$[(295, 2178)]$
12880.m2	12880y2	12880.m	12880y	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 5^{2} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$6440$	$48$	$0$	$2.047564870$	$1$		$9$	$12288$	$0.936467$	$17095749786081/2592100$	$1.03782$	$4.09868$	$[0, 0, 0, -8587, 306234]$	\(y^2=x^3-8587x+306234\)	2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.1, 644.24.0.?, 6440.48.0.?	$[(55, 18)]$
12880.m3	12880y4	12880.m	12880y	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{13} \cdot 5 \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$6440$	$48$	$0$	$4.095129740$	$1$		$5$	$24576$	$1.283041$	$-12748946194881/6718982410$	$0.93130$	$4.13610$	$[0, 0, 0, -7787, 365594]$	\(y^2=x^3-7787x+365594\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.s.1.3, 1288.24.0.?, 6440.48.0.?	$[(-25, 738)]$
12880.m4	12880y1	12880.m	12880y	$4$	$4$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 5^{4} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$6440$	$48$	$0$	$1.023782435$	$1$		$7$	$6144$	$0.589894$	$5461074081/1610000$	$1.00025$	$3.24815$	$[0, 0, 0, -587, 3834]$	\(y^2=x^3-587x+3834\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.10, 322.6.0.?, 644.24.0.?, $\ldots$	$[(5, 32)]$
12880.n1	12880e1	12880.n	12880e	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.399638874$	$1$		$2$	$7168$	$0.693509$	$-243090490825984/34514375$	$0.90072$	$3.79326$	$[0, 1, 0, -3276, 71099]$	\(y^2=x^3+x^2-3276x+71099\)	46.2.0.a.1	$[(49, 175)]$
12880.o1	12880c1	12880.o	12880c	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$5376$	$0.482774$	$-5674076449024/14904575$	$1.00612$	$3.39666$	$[0, 1, 0, -936, -11365]$	\(y^2=x^3+x^2-936x-11365\)	46.2.0.a.1	$[ ]$
12880.p1	12880t1	12880.p	12880t	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{12} \cdot 5^{5} \cdot 7^{11} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$228800$	$2.353985$	$1346216501445963776/3268768272021875$	$1.00054$	$5.41278$	$[0, 1, 0, 368059, -153520141]$	\(y^2=x^3+x^2+368059x-153520141\)	70.2.0.a.1	$[ ]$
12880.q1	12880f1	12880.q	12880f	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$3840$	$0.424336$	$-40535147776/67648175$	$0.84507$	$3.01739$	$[0, 1, 0, -180, -1897]$	\(y^2=x^3+x^2-180x-1897\)	46.2.0.a.1	$[ ]$
12880.r1	12880z1	12880.r	12880z	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 5^{7} \cdot 7^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.160787045$	$1$		$6$	$20160$	$1.096130$	$11601902526464/14175546875$	$0.93513$	$3.77589$	$[0, 1, 0, 2995, -65497]$	\(y^2=x^3+x^2+2995x-65497\)	70.2.0.a.1	$[(131, 1610)]$
12880.s1	12880g1	12880.s	12880g	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 5^{5} \cdot 7^{5} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.234894571$	$1$		$4$	$144000$	$2.062500$	$-3840316976122235063296/27784071875$	$1.00070$	$5.83774$	$[0, 1, 0, -2071545, 1146907475]$	\(y^2=x^3+x^2-2071545x+1146907475\)	70.2.0.a.1	$[(910, 4025)]$
12880.t1	12880h1	12880.t	12880h	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.471673755$	$1$		$2$	$3840$	$0.310444$	$28134973184/17609375$	$0.85560$	$2.83543$	$[0, 1, 0, 160, 275]$	\(y^2=x^3+x^2+160x+275\)	46.2.0.a.1	$[(5, 35)]$
12880.u1	12880n3	12880.u	12880n	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 5^{6} \cdot 7 \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$1.472716543$	$1$		$3$	$41472$	$1.378067$	$534774372149809/5323062500$	$0.92318$	$4.46251$	$[0, -1, 0, -27056, 1707200]$	\(y^2=x^3-x^2-27056x+1707200\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.d.1, $\ldots$	$[(106, 138)]$
12880.u2	12880n4	12880.u	12880n	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{13} \cdot 5^{3} \cdot 7^{2} \cdot 23^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$2.945433087$	$1$		$3$	$82944$	$1.724642$	$-9486391169809/1813439640250$	$0.98344$	$4.64966$	$[0, -1, 0, -7056, 4155200]$	\(y^2=x^3-x^2-7056x+4155200\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.a.1, $\ldots$	$[(1274, 45402)]$
12880.u3	12880n1	12880.u	12880n	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{18} \cdot 5^{2} \cdot 7^{3} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$4.418149631$	$1$		$3$	$13824$	$0.828761$	$380920459249/12622400$	$0.86931$	$3.69672$	$[0, -1, 0, -2416, -43584]$	\(y^2=x^3-x^2-2416x-43584\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.d.1, $\ldots$	$[(138, 1494)]$
12880.u4	12880n2	12880.u	12880n	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{15} \cdot 5 \cdot 7^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19320$	$96$	$1$	$8.836299263$	$1$		$1$	$27648$	$1.175335$	$12994449551/2489452840$	$0.94483$	$3.95256$	$[0, -1, 0, 784, -153664]$	\(y^2=x^3-x^2+784x-153664\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.a.1, $\ldots$	$[(10858/9, 1115686/9)]$
12880.v1	12880l4	12880.v	12880l	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{13} \cdot 5^{6} \cdot 7^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$3864$	$96$	$1$	$1$	$1$		$1$	$359424$	$2.265774$	$513516182162686336369/1944885031250$	$0.98891$	$5.91811$	$[0, -1, 0, -2669296, 1679469120]$	\(y^2=x^3-x^2-2669296x+1679469120\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.9, $\ldots$	$[ ]$
12880.v2	12880l3	12880.v	12880l	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 5^{12} \cdot 7^{3} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$3864$	$96$	$1$	$1$	$4$	$2$	$1$	$179712$	$1.919199$	$131010595463836369/7704101562500$	$0.95494$	$5.04382$	$[0, -1, 0, -169296, 25469120]$	\(y^2=x^3-x^2-169296x+25469120\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.9, $\ldots$	$[ ]$
12880.v3	12880l2	12880.v	12880l	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{15} \cdot 5^{2} \cdot 7^{2} \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.6, 3.4.0.1	2B, 3B	$3864$	$96$	$1$	$1$	$1$		$1$	$119808$	$1.716467$	$2535986675931409/1450751712200$	$0.99059$	$4.62698$	$[0, -1, 0, -45456, 414656]$	\(y^2=x^3-x^2-45456x+414656\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.3, $\ldots$	$[ ]$
12880.v4	12880l1	12880.v	12880l	$4$	$6$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{18} \cdot 5^{4} \cdot 7 \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	8.6.0.1, 3.4.0.1	2B, 3B	$3864$	$96$	$1$	$1$	$4$	$2$	$1$	$59904$	$1.369894$	$690080604747409/3406760000$	$0.92467$	$4.48945$	$[0, -1, 0, -29456, -1927744]$	\(y^2=x^3-x^2-29456x-1927744\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.3, $\ldots$	$[ ]$
12880.w1	12880d2	12880.w	12880d	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 5^{4} \cdot 7^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$49152$	$1.445654$	$1357792998752738/38897700625$	$0.92509$	$4.48772$	$[0, -1, 0, -29296, -1871904]$	\(y^2=x^3-x^2-29296x-1871904\)	2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.?	$[ ]$
12880.w2	12880d1	12880.w	12880d	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 5^{8} \cdot 7^{3} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1288$	$12$	$0$	$1$	$1$		$1$	$24576$	$1.099081$	$8564808605476/3081640625$	$0.89688$	$3.87916$	$[0, -1, 0, -4296, 68096]$	\(y^2=x^3-x^2-4296x+68096\)	2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.?	$[ ]$
12880.x1	12880w2	12880.x	12880w	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{19} \cdot 5^{2} \cdot 7^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$1288$	$12$	$0$	$3.487826544$	$1$		$3$	$215040$	$2.217682$	$1753007192038126081/478174101507200$	$0.97307$	$5.31791$	$[0, -1, 0, -401920, 71442432]$	\(y^2=x^3-x^2-401920x+71442432\)	2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.?	$[(-576, 10560)]$
12880.x2	12880w1	12880.x	12880w	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{26} \cdot 5^{4} \cdot 7^{5} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1288$	$12$	$0$	$6.975653089$	$1$		$3$	$107520$	$1.871107$	$83890194895342081/3958384640000$	$1.02332$	$4.99671$	$[0, -1, 0, -145920, -20512768]$	\(y^2=x^3-x^2-145920x-20512768\)	2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.?	$[(1922, 82434)]$

  Download displayed columns for results to