Elliptic curves over $\Q$ of conductor 19320

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

Sort order

Select

Results (1-50 of 89 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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
19320.a1	19320a3	19320.a	19320a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3.073909112$	$1$		$3$	$43008$	$1.275003$	$31412749404762436/7455105$	$[0, -1, 0, -66256, 6586396]$	\(y^2=x^3-x^2-66256x+6586396\)
19320.a2	19320a2	19320.a	19320a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1.536954556$	$1$		$9$	$21504$	$0.928430$	$31018076123344/472410225$	$[0, -1, 0, -4156, 103156]$	\(y^2=x^3-x^2-4156x+103156\)
19320.a3	19320a1	19320.a	19320a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3^{12} \cdot 5 \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3.073909112$	$1$		$3$	$10752$	$0.581856$	$924093773824/427810005$	$[0, -1, 0, -511, -1820]$	\(y^2=x^3-x^2-511x-1820\)
19320.a4	19320a4	19320.a	19320a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 7 \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3.073909112$	$1$		$3$	$43008$	$1.275003$	$-5756278756/33056218125$	$[0, -1, 0, -376, 280060]$	\(y^2=x^3-x^2-376x+280060\)
19320.b1	19320b1	19320.b	19320b	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{14} \cdot 7^{5} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$430080$	$2.359848$	$508017439289666674384/21234429931640625$	$[0, -1, 0, -1055516, 402388980]$	\(y^2=x^3-x^2-1055516x+402388980\)
19320.b2	19320b2	19320.b	19320b	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$860160$	$2.706425$	$14073614784514581404/945607964406328125$	$[0, -1, 0, 506984, 1490513980]$	\(y^2=x^3-x^2+506984x+1490513980\)
19320.c1	19320c2	19320.c	19320c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$12288$	$0.524209$	$56689453298/253575$	$[0, -1, 0, -1016, -12084]$	\(y^2=x^3-x^2-1016x-12084\)
19320.c2	19320c1	19320.c	19320c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$6144$	$0.177636$	$96550276/55545$	$[0, -1, 0, -96, 60]$	\(y^2=x^3-x^2-96x+60\)
19320.d1	19320o3	19320.d	19320o	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3.446022378$	$1$		$3$	$32768$	$1.100164$	$136324616160098/88149915$	$[0, -1, 0, -13616, 615756]$	\(y^2=x^3-x^2-13616x+615756\)
19320.d2	19320o2	19320.d	19320o	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1.723011189$	$1$		$9$	$16384$	$0.753592$	$113378906596/52490025$	$[0, -1, 0, -1016, 5916]$	\(y^2=x^3-x^2-1016x+5916\)
19320.d3	19320o1	19320.d	19320o	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$0.861505594$	$1$		$7$	$8192$	$0.407018$	$59466754384/905625$	$[0, -1, 0, -516, -4284]$	\(y^2=x^3-x^2-516x-4284\)
19320.d4	19320o4	19320.d	19320o	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$3.446022378$	$1$		$3$	$32768$	$1.100164$	$2485287189502/1811590515$	$[0, -1, 0, 3584, 40876]$	\(y^2=x^3-x^2+3584x+40876\)
19320.e1	19320m3	19320.e	19320m	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{16} \cdot 5^{2} \cdot 7^{4} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$3.589802588$	$1$		$3$	$196608$	$1.972054$	$123343086124179938/59429226844575$	$[0, -1, 0, -131696, -7482804]$	\(y^2=x^3-x^2-131696x-7482804\)
19320.e2	19320m2	19320.e	19320m	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$7.179605176$	$1$		$5$	$98304$	$1.625479$	$138697437757771876/106292300625$	$[0, -1, 0, -108696, -13748004]$	\(y^2=x^3-x^2-108696x-13748004\)
19320.e3	19320m1	19320.e	19320m	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$3.589802588$	$1$		$3$	$49152$	$1.278906$	$554483565352358224/326025$	$[0, -1, 0, -108676, -13753340]$	\(y^2=x^3-x^2-108676x-13753340\)
19320.e4	19320m4	19320.e	19320m	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$14.35921035$	$1$		$1$	$196608$	$1.972054$	$-34366597532983298/61980408984375$	$[0, -1, 0, -86016, -19672020]$	\(y^2=x^3-x^2-86016x-19672020\)
19320.f1	19320p1	19320.f	19320p	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$211200$	$2.028214$	$718269868008155236/197344270832625$	$[0, -1, 0, -188056, 22811356]$	\(y^2=x^3-x^2-188056x+22811356\)
19320.f2	19320p2	19320.f	19320p	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{10} \cdot 5^{6} \cdot 7^{5} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$422400$	$2.374790$	$6131006771007815422/8203108300734375$	$[0, -1, 0, 484224, 148393260]$	\(y^2=x^3-x^2+484224x+148393260\)
19320.g1	19320n1	19320.g	19320n	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.508858157$	$1$		$4$	$2688$	$-0.075753$	$-1024/12075$	$[0, -1, 0, -1, 85]$	\(y^2=x^3-x^2-x+85\)
19320.h1	19320q2	19320.h	19320q	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$18432$	$0.758446$	$117636968738/20539575$	$[0, -1, 0, -1296, -14580]$	\(y^2=x^3-x^2-1296x-14580\)
19320.h2	19320q1	19320.h	19320q	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$9216$	$0.411872$	$5756278756/499905$	$[0, -1, 0, -376, 2716]$	\(y^2=x^3-x^2-376x+2716\)
19320.i1	19320d2	19320.i	19320d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$344064$	$2.244839$	$3481993537261218002/1527951821484375$	$[0, -1, 0, -401000, 48187500]$	\(y^2=x^3-x^2-401000x+48187500\)
19320.i2	19320d1	19320.i	19320d	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7 \cdot 23^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$172032$	$1.898266$	$67929287623001276/52460218164375$	$[0, -1, 0, 85680, 5554332]$	\(y^2=x^3-x^2+85680x+5554332\)
19320.j1	19320e3	19320.j	19320e	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{3} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3.261752886$	$1$		$3$	$552960$	$2.504135$	$2466780454987534385284/10072750481768625$	$[0, -1, 0, -2837280, -1832060100]$	\(y^2=x^3-x^2-2837280x-1832060100\)
19320.j2	19320e2	19320.j	19320e	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1.630876443$	$1$		$9$	$276480$	$2.157558$	$8019382352783901136/4629798816890625$	$[0, -1, 0, -264780, 2646900]$	\(y^2=x^3-x^2-264780x+2646900\)
19320.j3	19320e1	19320.j	19320e	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3 \cdot 5^{12} \cdot 7^{3} \cdot 23^{2} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3.261752886$	$1$		$7$	$138240$	$1.810986$	$44949507773962418176/132895751953125$	$[0, -1, 0, -186655, 31021900]$	\(y^2=x^3-x^2-186655x+31021900\)
19320.j4	19320e4	19320.j	19320e	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{3} \cdot 7^{12} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3.261752886$	$1$		$3$	$552960$	$2.504135$	$127801365439147434716/74135664409456125$	$[0, -1, 0, 1057720, 20103900]$	\(y^2=x^3-x^2+1057720x+20103900\)
19320.k1	19320r5	19320.k	19320r	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.176	2B	$1$	$4$	$2$	$1$	$327680$	$2.236797$	$16841893263968213282/543703603314375$	$[0, -1, 0, -678160, -208646900]$	\(y^2=x^3-x^2-678160x-208646900\)
19320.k2	19320r3	19320.k	19320r	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.32	2Cs	$1$	$1$		$3$	$163840$	$1.890224$	$118566490663726564/40187675390625$	$[0, -1, 0, -103160, 8243100]$	\(y^2=x^3-x^2-103160x+8243100\)
19320.k3	19320r2	19320.k	19320r	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.25	2Cs	$1$	$1$		$7$	$81920$	$1.543652$	$342799332162880336/77131175625$	$[0, -1, 0, -92580, 10871172]$	\(y^2=x^3-x^2-92580x+10871172\)
19320.k4	19320r1	19320.k	19320r	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.32	2B	$1$	$4$	$2$	$3$	$40960$	$1.197079$	$5483900709072173056/277725$	$[0, -1, 0, -92575, 10872400]$	\(y^2=x^3-x^2-92575x+10872400\)
19320.k5	19320r4	19320.k	19320r	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23^{8} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.161	2B	$1$	$4$	$2$	$3$	$163840$	$1.890224$	$-59722927783102084/41113267272525$	$[0, -1, 0, -82080, 13420572]$	\(y^2=x^3-x^2-82080x+13420572\)
19320.k6	19320r6	19320.k	19320r	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{11} \cdot 3^{2} \cdot 5^{16} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.43	2B	$1$	$1$		$1$	$327680$	$2.236797$	$1495639267637215678/1547698974609375$	$[0, -1, 0, 302560, 56767212]$	\(y^2=x^3-x^2+302560x+56767212\)
19320.l1	19320t3	19320.l	19320t	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{12} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1.068769837$	$1$		$5$	$73728$	$1.541454$	$5089545532199524/353759765625$	$[0, -1, 0, -36120, -2466468]$	\(y^2=x^3-x^2-36120x-2466468\)
19320.l2	19320t2	19320.l	19320t	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$0.534384918$	$1$		$17$	$36864$	$1.194881$	$157267580823376/32806265625$	$[0, -1, 0, -7140, 188100]$	\(y^2=x^3-x^2-7140x+188100\)
19320.l3	19320t1	19320.l	19320t	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{3} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1.068769837$	$1$		$5$	$18432$	$0.848308$	$2111937254864896/132040125$	$[0, -1, 0, -6735, 214992]$	\(y^2=x^3-x^2-6735x+214992\)
19320.l4	19320t4	19320.l	19320t	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1.068769837$	$1$		$13$	$73728$	$1.541454$	$391353415004156/755885521125$	$[0, -1, 0, 15360, 1115100]$	\(y^2=x^3-x^2+15360x+1115100\)
19320.m1	19320s4	19320.m	19320s	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$3.912869721$	$1$		$3$	$98304$	$1.619488$	$127847420666360642/17899707105$	$[0, -1, 0, -133280, 18770412]$	\(y^2=x^3-x^2-133280x+18770412\)
19320.m2	19320s3	19320.m	19320s	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{11} \cdot 3^{12} \cdot 5^{4} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$3.912869721$	$1$		$3$	$98304$	$1.619488$	$8579021289461282/374333754375$	$[0, -1, 0, -54160, -4646900]$	\(y^2=x^3-x^2-54160x-4646900\)
19320.m3	19320s2	19320.m	19320s	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1.956434860$	$1$		$9$	$49152$	$1.272915$	$80859142234084/23148101025$	$[0, -1, 0, -9080, 239772]$	\(y^2=x^3-x^2-9080x+239772\)
19320.m4	19320s1	19320.m	19320s	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 23^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$3.912869721$	$1$		$5$	$24576$	$0.926341$	$1457028215984/1851148215$	$[0, -1, 0, 1500, 23940]$	\(y^2=x^3-x^2+1500x+23940\)
19320.n1	19320f3	19320.n	19320f	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2.320179769$	$1$		$3$	$53248$	$1.134092$	$58687749106564/1988856345$	$[0, -1, 0, -8160, -272580]$	\(y^2=x^3-x^2-8160x-272580\)
19320.n2	19320f2	19320.n	19320f	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1.160089884$	$1$		$9$	$26624$	$0.787519$	$864848456656/285779025$	$[0, -1, 0, -1260, 11700]$	\(y^2=x^3-x^2-1260x+11700\)
19320.n3	19320f1	19320.n	19320f	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2.320179769$	$1$		$7$	$13312$	$0.440946$	$10115186538496/2113125$	$[0, -1, 0, -1135, 15100]$	\(y^2=x^3-x^2-1135x+15100\)
19320.n4	19320f4	19320.n	19320f	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2.320179769$	$1$		$3$	$53248$	$1.134092$	$5207251926236/5553444645$	$[0, -1, 0, 3640, 76380]$	\(y^2=x^3-x^2+3640x+76380\)
19320.o1	19320i1	19320.o	19320i	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.073326823$	$1$		$5$	$8192$	$0.268369$	$46689225424/36225$	$[0, 1, 0, -476, 3840]$	\(y^2=x^3+x^2-476x+3840\)
19320.o2	19320i2	19320.o	19320i	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$0.536663411$	$1$		$7$	$16384$	$0.614943$	$-5756278756/10498005$	$[0, 1, 0, -376, 5600]$	\(y^2=x^3+x^2-376x+5600\)
19320.p1	19320h1	19320.p	19320h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 7 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4.681232222$	$1$		$3$	$245760$	$2.176647$	$13745695765783090269904/148545140625$	$[0, 1, 0, -3168796, -2172205120]$	\(y^2=x^3+x^2-3168796x-2172205120\)
19320.p2	19320h2	19320.p	19320h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{20} \cdot 5^{3} \cdot 7^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2.340616111$	$1$		$5$	$491520$	$2.523220$	$-3428296927707108677476/11297617307290125$	$[0, 1, 0, -3166296, -2175801120]$	\(y^2=x^3+x^2-3166296x-2175801120\)
19320.q1	19320g1	19320.q	19320g	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1$	$1$		$1$	$4352$	$0.108729$	$96550276/16905$	$[0, 1, 0, -96, -336]$	\(y^2=x^3+x^2-96x-336\)