LMFDB - Elliptic curves over $\Q$ of conductor 428400

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
428400.a1	428400a2	428400.a	428400a	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{11} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$	$1$	$13369344$	$2.489746$	$1019437193909682/8850625$	$0.95509$	$4.50584$	$[0, 0, 0, -5991075, -5644194750]$	$y^2=x^3-5991075x-5644194750$	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
428400.a2	428400a1	428400.a	428400a	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{14} \cdot 7 \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$952$	$12$	$0$	$1$	$1$	$1$	$6684672$	$2.143173$	$-465142919364/46484375$	$0.93096$	$3.87148$	$[0, 0, 0, -366075, -92319750]$	$y^2=x^3-366075x-92319750$	2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?	$[]$
428400.b1	428400b2	428400.b	428400b	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 17^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$1.901001360$	$1$	$15$	$3538944$	$1.865044$	$480819584464/1365525$	$0.85303$	$3.75485$	$[0, 0, 0, -233175, 43231750]$	$y^2=x^3-233175x+43231750$	2.3.0.a.1, 42.6.0.a.1, 340.6.0.?, 7140.12.0.?	$[(341, 1836), (-10, 6750)]$
428400.b2	428400b1	428400.b	428400b	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{12} \cdot 5^{7} \cdot 7^{2} \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$7.604005443$	$1$	$7$	$1769472$	$1.518471$	$5266130944/3036285$	$0.93889$	$3.19294$	$[0, 0, 0, -20550, 68875]$	$y^2=x^3-20550x+68875$	2.3.0.a.1, 84.6.0.?, 170.6.0.?, 7140.12.0.?	$[(179, 1458), (191, 1764)]$
428400.c1	428400c2	428400.c	428400c	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{18} \cdot 3^{7} \cdot 5^{8} \cdot 7^{9} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1428$	$16$	$0$	$1$	$1$	$0$	$37324800$	$3.130035$	$-6693187811305/131714173248$	$0.97226$	$4.69413$	$[0, 0, 0, -4132875, -19133383750]$	$y^2=x^3-4132875x-19133383750$	3.4.0.a.1, 12.8.0-3.a.1.1, 714.8.0.?, 1428.16.0.?	$[]$
428400.c2	428400c1	428400.c	428400c	$2$	$3$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1428$	$16$	$0$	$1$	$1$	$0$	$12441600$	$2.580727$	$9056932295/181997172$	$0.92864$	$4.18189$	$[0, 0, 0, 457125, 690826250]$	$y^2=x^3+457125x+690826250$	3.4.0.a.1, 12.8.0-3.a.1.2, 714.8.0.?, 1428.16.0.?	$[]$
428400.d1	428400d2	428400.d	428400d	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{10} \cdot 3^{16} \cdot 5^{3} \cdot 7^{4} \cdot 17^{5} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$3.762250719$	$1$	$5$	$152371200$	$3.730179$	$3000288402049531613326484/201302567519193$	$1.03359$	$5.76136$	$[0, 0, 0, -1362884115, 19365846399650]$	$y^2=x^3-1362884115x+19365846399650$	2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[(21325, 2520)]$
428400.d2	428400d1	428400.d	428400d	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{2} \cdot 17^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$7.524501438$	$1$	$3$	$76185600$	$3.383606$	$-2912724418390669788176/24004439372646243$	$1.00879$	$5.12058$	$[0, 0, 0, -85012815, 303840217550]$	$y^2=x^3-85012815x+303840217550$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(-3599, 750456)]$
428400.e1	428400e2	428400.e	428400e	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{16} \cdot 5^{7} \cdot 7^{10} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$7.975130682$	$1$	$1$	$117964800$	$3.630604$	$1091046322587485234896/1417789883147085$	$0.98772$	$5.41609$	$[0, 0, 0, -306409575, -2062117750250]$	$y^2=x^3-306409575x-2062117750250$	2.3.0.a.1, 84.6.0.?, 170.6.0.?, 7140.12.0.?	$[(-157255/4, 40275/4)]$
428400.e2	428400e1	428400.e	428400e	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{11} \cdot 5^{8} \cdot 7^{5} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$15.95026136$	$1$	$3$	$58982400$	$3.284031$	$17440402442527904475136/29507629725$	$1.01768$	$5.41602$	$[0, 0, 0, -306313950, -2063470557125]$	$y^2=x^3-306313950x-2063470557125$	2.3.0.a.1, 42.6.0.a.1, 340.6.0.?, 7140.12.0.?	$[(174292935, 2301016181000)]$
428400.f1	428400f2	428400.f	428400f	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{3} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$2.257789140$	$1$	$5$	$8257536$	$2.330494$	$2248430329584/28647703$	$0.92813$	$4.12796$	$[0, 0, 0, -1169775, 481578750]$	$y^2=x^3-1169775x+481578750$	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(705, 2700)]$
428400.f2	428400f1	428400.f	428400f	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$84$	$12$	$0$	$4.515578281$	$1$	$3$	$4128768$	$1.983921$	$-40310784/34000561$	$1.13780$	$3.63315$	$[0, 0, 0, -12150, 19686375]$	$y^2=x^3-12150x+19686375$	2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.?	$[(-185, 3950)]$
428400.g1	428400g1	428400.g	428400g	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 17 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1428$	$2$	$0$	$4.013268727$	$1$	$2$	$1059840$	$1.327106$	$-5513680/357$	$0.70168$	$3.13400$	$[0, 0, 0, -15375, -773750]$	$y^2=x^3-15375x-773750$	1428.2.0.?	$[(146, 306)]$
428400.h1	428400h2	428400.h	428400h	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{19} \cdot 3^{10} \cdot 5^{6} \cdot 7^{6} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.6	2B	$952$	$12$	$0$	$5.723355467$	$1$	$3$	$66060288$	$3.386559$	$18575453384550358633/352517816448$	$1.01892$	$5.31581$	$[0, 0, 0, -198628275, 1077463579250]$	$y^2=x^3-198628275x+1077463579250$	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(13735, 969750)]$
428400.h2	428400h1	428400.h	428400h	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{26} \cdot 3^{14} \cdot 5^{6} \cdot 7^{3} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.1	2B	$952$	$12$	$0$	$2.861677733$	$1$	$5$	$33030144$	$3.039986$	$-4100379159705193/626805817344$	$1.03275$	$4.68470$	$[0, 0, 0, -12004275, 17999131250]$	$y^2=x^3-12004275x+17999131250$	2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?	$[(-1625, 182250)]$
428400.i1	428400i1	428400.i	428400i	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 7^{4} \cdot 17 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$0.852401859$	$1$	$18$	$688128$	$1.112720$	$43307470/122451$	$0.82494$	$2.80513$	$[0, 0, 0, 2445, 91730]$	$y^2=x^3+2445x+91730$	408.2.0.?	$[(79, 882), (-19, 196)]$
428400.j1	428400j2	428400.j	428400j	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$	$1$	$4128768$	$2.055893$	$2396308428/1020425$	$0.87131$	$3.70709$	$[0, 0, 0, -189675, -16341750]$	$y^2=x^3-189675x-16341750$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
428400.j2	428400j1	428400.j	428400j	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$	$1$	$2064384$	$1.709320$	$88723728/70805$	$0.80003$	$3.34600$	$[0, 0, 0, 39825, -1883250]$	$y^2=x^3+39825x-1883250$	2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[]$
428400.k1	428400k1	428400.k	428400k	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7^{3} \cdot 17^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$1$	$1$	$0$	$3317760$	$1.866943$	$12024231680/8029287$	$0.86766$	$3.50483$	$[0, 0, 0, 79125, 3360625]$	$y^2=x^3+79125x+3360625$	14.2.0.a.1	$[]$
428400.l1	428400l1	428400.l	428400l	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 17^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$2.361455919$	$1$	$2$	$175104$	$0.364689$	$-160000/2023$	$0.80201$	$2.13567$	$[0, 0, 0, -75, -1195]$	$y^2=x^3-75x-1195$	14.2.0.a.1	$[(124, 1377)]$
428400.m1	428400m1	428400.m	428400m	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{4} \cdot 3^{14} \cdot 5^{4} \cdot 7^{5} \cdot 17^{6} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$2.301546472$	$1$	$2$	$40550400$	$3.098560$	$-286292506333578400000/2661667281642663$	$1.05216$	$4.85213$	$[0, 0, 0, -26623875, 53298601225]$	$y^2=x^3-26623875x+53298601225$	14.2.0.a.1	$[(3120, 24565)]$
428400.n1	428400n1	428400.n	428400n	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 7^{13} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$714$	$2$	$0$	$1$	$1$	$0$	$88058880$	$3.484623$	$11452059693875200/4941339530757$	$1.11697$	$5.02846$	$[0, 0, 0, -57360000, 84337737500]$	$y^2=x^3-57360000x+84337737500$	714.2.0.?	$[]$
428400.o1	428400o1	428400.o	428400o	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{8} \cdot 3^{15} \cdot 5^{6} \cdot 7^{2} \cdot 17^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$102$	$2$	$0$	$8.015763011$	$1$	$2$	$104509440$	$3.677029$	$-6434900743458429657088/395758108932291$	$1.06283$	$5.55295$	$[0, 0, 0, -553607400, 5013880971500]$	$y^2=x^3-553607400x+5013880971500$	102.2.0.?	$[(23066, 2125186)]$
428400.p1	428400p1	428400.p	428400p	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$714$	$2$	$0$	$1$	$1$	$0$	$691200$	$1.206636$	$14929920/5831$	$0.74598$	$2.92594$	$[0, 0, 0, -6480, 114480]$	$y^2=x^3-6480x+114480$	714.2.0.?	$[]$
428400.q1	428400q1	428400.q	428400q	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{13} \cdot 5^{8} \cdot 7 \cdot 17^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$714$	$2$	$0$	$1$	$1$	$0$	$7096320$	$2.311840$	$376627502080/75213117$	$0.89076$	$3.98424$	$[0, 0, 0, -628500, -155202500]$	$y^2=x^3-628500x-155202500$	714.2.0.?	$[]$
428400.r1	428400r1	428400.r	428400r	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{21} \cdot 3^{8} \cdot 5^{2} \cdot 7 \cdot 17^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$952$	$2$	$0$	$1$	$1$	$0$	$23224320$	$2.716145$	$15571873582964375/13235884236288$	$1.02567$	$4.27308$	$[0, 0, 0, 2190525, -854384830]$	$y^2=x^3+2190525x-854384830$	952.2.0.?	$[]$
428400.s1	428400s1	428400.s	428400s	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{12} \cdot 3^{17} \cdot 5^{2} \cdot 7^{7} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$714$	$2$	$0$	$1$	$1$	$0$	$31933440$	$2.839787$	$4769863992106516480/2480098920957$	$1.02401$	$4.71453$	$[0, 0, 0, -14766240, 21830204720]$	$y^2=x^3-14766240x+21830204720$	714.2.0.?	$[]$
428400.t1	428400t1	428400.t	428400t	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{16} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 17 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1428$	$2$	$0$	$1$	$1$	$0$	$1824768$	$1.623209$	$-43391581875/93296$	$0.93802$	$3.54118$	$[0, 0, 0, -92475, 10844010]$	$y^2=x^3-92475x+10844010$	1428.2.0.?	$[]$
428400.u1	428400u4	428400.u	428400u	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{17} \cdot 3^{18} \cdot 5^{11} \cdot 7 \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$30.49890630$	$1$	$1$	$530841600$	$4.406242$	$5774905528848578698851241/31070538632700000$	$1.02374$	$6.29109$	$[0, 0, 0, -13455801075, -600773035292750]$	$y^2=x^3-13455801075x-600773035292750$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 680.12.0.?, $\ldots$	$[(-855381556752935/113082, 55944274823119137275/113082)]$
428400.u2	428400u3	428400.u	428400u	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{17} \cdot 3^{9} \cdot 5^{26} \cdot 7 \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$30.49890630$	$1$	$1$	$530841600$	$4.406242$	$46993202771097749198761/9805297851562500000$	$1.01446$	$5.92007$	$[0, 0, 0, -2706489075, 43337085795250]$	$y^2=x^3-2706489075x+43337085795250$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 280.12.0.?, 340.12.0.?, $\ldots$	$[(49227152007089/17954, 326956401065640898737/17954)]$
428400.u3	428400u2	428400.u	428400u	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{22} \cdot 3^{12} \cdot 5^{16} \cdot 7^{2} \cdot 17^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$14280$	$48$	$0$	$15.24945315$	$1$	$3$	$265420800$	$4.059669$	$1485712211163154851241/103233690000000000$	$1.00018$	$5.65371$	$[0, 0, 0, -855801075, -9039235292750]$	$y^2=x^3-855801075x-9039235292750$	2.6.0.a.1, 12.12.0-2.a.1.1, 280.12.0.?, 340.12.0.?, 840.24.0.?, $\ldots$	$[(-159467215/94, 603274755825/94)]$
428400.u4	428400u1	428400.u	428400u	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{32} \cdot 3^{9} \cdot 5^{11} \cdot 7^{4} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$14280$	$48$	$0$	$30.49890630$	$1$	$1$	$132710400$	$3.713097$	$251907898698209879/3611226931200000$	$1.00285$	$5.22852$	$[0, 0, 0, 47366925, -611774684750]$	$y^2=x^3+47366925x-611774684750$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 340.12.0.?, $\ldots$	$[(1961071077478129/229773, 87811026743202620833792/229773)]$
428400.v1	428400v2	428400.v	428400v	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 17^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$1.898449384$	$1$	$15$	$360448$	$0.740664$	$24513948/14161$	$1.00337$	$2.47308$	$[0, 0, 0, -915, 450]$	$y^2=x^3-915x+450$	2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.?	$[(-5, 70), (51, 294)]$
428400.v2	428400v1	428400.v	428400v	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$7.593797537$	$1$	$9$	$180224$	$0.394090$	$29773872/119$	$0.77051$	$2.38116$	$[0, 0, 0, -615, -5850]$	$y^2=x^3-615x-5850$	2.3.0.a.1, 60.6.0.b.1, 476.6.0.?, 3570.6.0.?, 7140.12.0.?	$[(-14, 4), (34, 112)]$
428400.w1	428400w2	428400.w	428400w	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$1$	$1$	$1$	$44236800$	$3.077446$	$27571799648846727/5224662205504$	$1.02309$	$4.69541$	$[0, 0, 0, -13594635, 15822085050]$	$y^2=x^3-13594635x+15822085050$	2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.?	$[]$
428400.w2	428400w1	428400.w	428400w	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 7^{5} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$1$	$1$	$1$	$22118400$	$2.730873$	$23576453352214407/1170305024$	$0.98446$	$4.68334$	$[0, 0, 0, -12903435, 17839697850]$	$y^2=x^3-12903435x+17839697850$	2.3.0.a.1, 60.6.0.b.1, 476.6.0.?, 3570.6.0.?, 7140.12.0.?	$[]$
428400.x1	428400x3	428400.x	428400x	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{11} \cdot 3^{10} \cdot 5^{9} \cdot 7 \cdot 17^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1.887596750$	$1$	$3$	$117964800$	$3.508087$	$1288552627805503538/494406808630875$	$0.98082$	$5.05659$	$[0, 0, 0, -64776675, -116487346750]$	$y^2=x^3-64776675x-116487346750$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 56.12.0-4.c.1.6, $\ldots$	$[(-3665, 267750)]$
428400.x2	428400x2	428400.x	428400x	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{10} \cdot 3^{8} \cdot 5^{12} \cdot 7^{2} \cdot 17^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$3.775193500$	$1$	$7$	$58982400$	$3.161514$	$1746832862522547076/575511890625$	$0.96644$	$5.02661$	$[0, 0, 0, -56901675, -165162721750]$	$y^2=x^3-56901675x-165162721750$	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 56.12.0-2.a.1.2, 84.12.0.?, $\ldots$	$[(9305, 333200)]$
428400.x3	428400x1	428400.x	428400x	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$7.550387001$	$1$	$3$	$29491200$	$2.814938$	$6985673827271875024/758625$	$0.96643$	$5.02659$	$[0, 0, 0, -56897175, -165190158250]$	$y^2=x^3-56897175x-165190158250$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.bb.1, 56.12.0-4.c.1.6, $\ldots$	$[(74045, 20039600)]$
428400.x4	428400x4	428400.x	428400x	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{11} \cdot 3^{7} \cdot 5^{18} \cdot 7^{4} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$7.550387001$	$1$	$1$	$117964800$	$3.508087$	$-561119707443442898/508219482421875$	$0.97595$	$5.06513$	$[0, 0, 0, -49098675, -212082160750]$	$y^2=x^3-49098675x-212082160750$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.v.1, 56.12.0-4.c.1.6, $\ldots$	$[(36761/2, 2688091/2)]$
428400.y1	428400y1	428400.y	428400y	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{3} \cdot 7^{7} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$1190$	$2$	$0$	$6.289818965$	$1$	$2$	$7225344$	$2.303101$	$-4541639379968/327731407479$	$1.00437$	$3.92844$	$[0, 0, 0, -98580, 133564300]$	$y^2=x^3-98580x+133564300$	1190.2.0.?	$[(3305, 189495)]$
428400.z1	428400z1	428400.z	428400z	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{23} \cdot 3^{17} \cdot 5^{2} \cdot 7^{2} \cdot 17^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$408$	$2$	$0$	$1.600626132$	$1$	$4$	$53526528$	$3.263779$	$-1991541343509695978905/87338674870272$	$1.01093$	$5.17987$	$[0, 0, 0, -110364915, 446283795890]$	$y^2=x^3-110364915x+446283795890$	408.2.0.?	$[(5839, 30618)]$
428400.ba1	428400ba2	428400.ba	428400ba	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 17^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$3.512204570$	$1$	$3$	$10616832$	$2.455097$	$1041765762672/511566125$	$0.93756$	$4.06863$	$[0, 0, 0, -905175, 128999250]$	$y^2=x^3-905175x+128999250$	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(-966, 10098)]$
428400.ba2	428400ba1	428400.ba	428400ba	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{9} \cdot 5^{12} \cdot 7 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$7.024409141$	$1$	$1$	$5308416$	$2.108524$	$2537130442752/31609375$	$0.92528$	$3.92347$	$[0, 0, 0, -483300, -127922625]$	$y^2=x^3-483300x-127922625$	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(-6839/4, 48059/4)]$
428400.bb1	428400bb2	428400.bb	428400bb	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{16} \cdot 3^{7} \cdot 5^{13} \cdot 7^{10} \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$1$	$1$	$1$	$1981808640$	$5.115150$	$675512349748162449958490329/25568496800736303750000$	$1.03605$	$6.65830$	$[0, 0, 0, -65807040675, 6281570202169250]$	$y^2=x^3-65807040675x+6281570202169250$	2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.?	$[]$
428400.bb2	428400bb1	428400.bb	428400bb	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{20} \cdot 3^{8} \cdot 5^{20} \cdot 7^{5} \cdot 17^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$1$	$1$	$1$	$990904320$	$4.768578$	$11501534367688741509671/1161179873437500000000$	$1.05405$	$6.20912$	$[0, 0, 0, 1692959325, 353112702169250]$	$y^2=x^3+1692959325x+353112702169250$	2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.?	$[]$
428400.bc1	428400bc2	428400.bc	428400bc	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{16} \cdot 3^{9} \cdot 5^{12} \cdot 7 \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$2.095701469$	$1$	$7$	$15925248$	$2.772312$	$18708817969323/505750000$	$0.91558$	$4.50515$	$[0, 0, 0, -5973075, 5486015250]$	$y^2=x^3-5973075x+5486015250$	2.3.0.a.1, 42.6.0.a.1, 1020.6.0.?, 2380.6.0.?, 7140.12.0.?	$[(1689, 14688)]$
428400.bc2	428400bc1	428400.bc	428400bc	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ - 2^{20} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$7140$	$12$	$0$	$4.191402938$	$1$	$5$	$7962624$	$2.425739$	$36926037/26656000$	$0.94816$	$4.04188$	$[0, 0, 0, 74925, 278687250]$	$y^2=x^3+74925x+278687250$	2.3.0.a.1, 84.6.0.?, 510.6.0.?, 2380.6.0.?, 7140.12.0.?	$[(-359, 14336)]$
428400.bd1	428400bd2	428400.bd	428400bd	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{4} \cdot 17^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1.735847154$	$1$	$5$	$2457600$	$1.728659$	$1683534357776/168615027$	$0.89269$	$3.47916$	$[0, 0, 0, -70815, 6595850]$	$y^2=x^3-70815x+6595850$	2.3.0.a.1, 60.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(-14, 2754)]$
428400.bd2	428400bd1	428400.bd	428400bd	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 $	$ 2^{4} \cdot 3^{16} \cdot 5^{3} \cdot 7^{2} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$3.471694308$	$1$	$3$	$1228800$	$1.382084$	$318916345856/49187817$	$0.93116$	$3.13706$	$[0, 0, 0, -16140, -675925]$	$y^2=x^3-16140x-675925$	2.3.0.a.1, 60.6.0.b.1, 170.6.0.?, 204.6.0.?, 1020.12.0.?	$[(145, 180)]$

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Elliptic curves over $\Q$
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