Elliptic curve search results

Results (1-50 of 592709 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
10001.a1	10001a2	10001.a	10001a	$2$	$2$	\( 73 \cdot 137 \)	\( 73 \cdot 137^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$3.470942657$	$1$		$0$	$46656$	$1.596895$	$17374804109361438921/482665506294457$	$[1, -1, 0, -53959, 4720704]$	\(y^2+xy=x^3-x^2-53959x+4720704\)
10001.a2	10001a1	10001.a	10001a	$2$	$2$	\( 73 \cdot 137 \)	\( 73^{2} \cdot 137^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1.735471328$	$1$		$1$	$23328$	$1.250322$	$17024594875172176761/13702740137$	$[1, -1, 0, -53594, 4788959]$	\(y^2+xy=x^3-x^2-53594x+4788959\)
10002.a1	10002c1	10002.a	10002c	$2$	$2$	\( 2 \cdot 3 \cdot 1667 \)	\( 2^{6} \cdot 3 \cdot 1667 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$1$	$1$		$1$	$1536$	$-0.070807$	$115714886617/320064$	$[1, 1, 0, -101, -435]$	\(y^2+xy=x^3+x^2-101x-435\)
10002.a2	10002c2	10002.a	10002c	$2$	$2$	\( 2 \cdot 3 \cdot 1667 \)	\( - 2^{3} \cdot 3^{2} \cdot 1667^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.5	2B	$1$	$1$		$0$	$3072$	$0.275766$	$-25750777177/200080008$	$[1, 1, 0, -61, -731]$	\(y^2+xy=x^3+x^2-61x-731\)
10002.b1	10002b1	10002.b	10002b	$1$	$1$	\( 2 \cdot 3 \cdot 1667 \)	\( 2^{11} \cdot 3^{3} \cdot 1667 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1$	$1$		$0$	$5280$	$0.426821$	$58886570067625/92178432$	$[1, 1, 0, -810, 8532]$	\(y^2+xy=x^3+x^2-810x+8532\)
10002.c1	10002a1	10002.c	10002a	$1$	$1$	\( 2 \cdot 3 \cdot 1667 \)	\( - 2^{13} \cdot 3^{8} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1.676238635$	$1$		$2$	$14560$	$0.833298$	$-649844448647113/89597435904$	$[1, 1, 0, -1804, 32080]$	\(y^2+xy=x^3+x^2-1804x+32080\)
10002.d1	10002d1	10002.d	10002d	$1$	$1$	\( 2 \cdot 3 \cdot 1667 \)	\( 2^{9} \cdot 3 \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$0.213500995$	$1$		$6$	$2736$	$0.180284$	$4906933498657/2560512$	$[1, 1, 1, -354, 2415]$	\(y^2+xy+y=x^3+x^2-354x+2415\)
10002.e1	10002e1	10002.e	10002e	$1$	$1$	\( 2 \cdot 3 \cdot 1667 \)	\( 2^{3} \cdot 3^{5} \cdot 1667 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$0.257460714$	$1$		$4$	$2160$	$-0.061213$	$5611284433/3240648$	$[1, 0, 0, -37, -7]$	\(y^2+xy=x^3-37x-7\)
10003.a1	10003a1	10003.a	10003a	$1$	$1$	\( 7 \cdot 1429 \)	\( - 7^{5} \cdot 1429 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1$	$1$		$0$	$1960$	$0.101478$	$15531437375/24017203$	$[1, 1, 1, 52, 208]$	\(y^2+xy+y=x^3+x^2+52x+208\)
10004.a1	10004a1	10004.a	10004a	$1$	$1$	\( 2^{2} \cdot 41 \cdot 61 \)	\( 2^{8} \cdot 41^{3} \cdot 61 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.724878115$	$1$		$2$	$3168$	$0.484009$	$66523963392/4204181$	$[0, 0, 0, -536, -4508]$	\(y^2=x^3-536x-4508\)
10005.a1	10005k1	10005.a	10005k	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{9} \cdot 5^{5} \cdot 23 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$0.841750110$	$1$		$4$	$38880$	$1.187117$	$3511697101967355904/41026753125$	$[0, 1, 1, -31666, -2179460]$	\(y^2+y=x^3+x^2-31666x-2179460\)
10005.b1	10005h2	10005.b	10005h	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{2} \cdot 5^{4} \cdot 23^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$0.285535232$	$1$		$10$	$5888$	$0.501294$	$290656902035521/86293125$	$[1, 1, 1, -1380, 19152]$	\(y^2+xy+y=x^3+x^2-1380x+19152\)
10005.b2	10005h1	10005.b	10005h	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( - 3^{4} \cdot 5^{2} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$0.571070465$	$1$		$7$	$2944$	$0.154720$	$-46694890801/39169575$	$[1, 1, 1, -75, 360]$	\(y^2+xy+y=x^3+x^2-75x+360\)
10005.c1	10005f1	10005.c	10005f	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1.130966506$	$1$		$5$	$2048$	$-0.265641$	$7088952961/50025$	$[1, 1, 1, -40, 80]$	\(y^2+xy+y=x^3+x^2-40x+80\)
10005.c2	10005f2	10005.c	10005f	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( - 3^{2} \cdot 5 \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$0.565483253$	$1$		$8$	$4096$	$0.080932$	$-374805361/20020005$	$[1, 1, 1, -15, 210]$	\(y^2+xy+y=x^3+x^2-15x+210\)
10005.d1	10005e3	10005.d	10005e	$4$	$4$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3 \cdot 5^{3} \cdot 23 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$6.562466036$	$4$	$2$	$2$	$49152$	$1.711998$	$262537424941059264096001/250125$	$[1, 1, 1, -1334000, -593592940]$	\(y^2+xy+y=x^3+x^2-1334000x-593592940\)
10005.d2	10005e2	10005.d	10005e	$4$	$4$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{2} \cdot 5^{6} \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$3.281233018$	$1$		$6$	$24576$	$1.365425$	$64096096056024006001/62562515625$	$[1, 1, 1, -83375, -9300940]$	\(y^2+xy+y=x^3+x^2-83375x-9300940\)
10005.d3	10005e4	10005.d	10005e	$4$	$4$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( - 3^{4} \cdot 5^{3} \cdot 23^{4} \cdot 29^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$1.640616509$	$1$		$4$	$49152$	$1.711998$	$-62665433378363916001/2004003001000125$	$[1, 1, 1, -82750, -9446440]$	\(y^2+xy+y=x^3+x^2-82750x-9446440\)
10005.d4	10005e1	10005.d	10005e	$4$	$4$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3 \cdot 5^{12} \cdot 23 \cdot 29 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$6.562466036$	$1$		$3$	$12288$	$1.018852$	$16003198512756001/488525390625$	$[1, 1, 1, -5250, -144690]$	\(y^2+xy+y=x^3+x^2-5250x-144690\)
10005.e1	10005a1	10005.e	10005a	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{3} \cdot 5 \cdot 23 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$0.908072202$	$1$		$4$	$1632$	$-0.210038$	$14959673344/90045$	$[0, -1, 1, -51, -124]$	\(y^2+y=x^3-x^2-51x-124\)
10005.f1	10005b1	10005.f	10005b	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3 \cdot 5^{5} \cdot 23^{3} \cdot 29^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$0.440061521$	$1$		$2$	$84000$	$1.987009$	$25101212833837967048704/2339617030153125$	$[0, -1, 1, -609991, 183560811]$	\(y^2+y=x^3-x^2-609991x+183560811\)
10005.g1	10005m1	10005.g	10005m	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{7} \cdot 5^{3} \cdot 23 \cdot 29^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8.613946887$	$1$		$2$	$2140320$	$3.644524$	$125147927114815865709295304704/64514985611316331088611125$	$[0, 1, 1, -104207741, 135268278965]$	\(y^2+y=x^3+x^2-104207741x+135268278965\)
10005.h1	10005i2	10005.h	10005i	$2$	$3$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{5} \cdot 5^{15} \cdot 23^{3} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$6.026588428$	$1$		$0$	$194400$	$2.427292$	$1489157481162281146384384/2616603057861328125$	$[0, 1, 1, -2379061, -1411043480]$	\(y^2+y=x^3+x^2-2379061x-1411043480\)
10005.h2	10005i1	10005.h	10005i	$2$	$3$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{15} \cdot 5^{5} \cdot 23 \cdot 29^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$2.008862809$	$1$		$6$	$64800$	$1.877985$	$210966209738334797824/25153051046653125$	$[0, 1, 1, -124021, 14938111]$	\(y^2+y=x^3+x^2-124021x+14938111\)
10005.i1	10005l1	10005.i	10005l	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( - 3^{6} \cdot 5^{4} \cdot 23^{7} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1.149133118$	$1$		$4$	$349440$	$2.552017$	$-131631542171643599790505984/44988384234391875$	$[0, 1, 1, -10597711, -13282563134]$	\(y^2+y=x^3+x^2-10597711x-13282563134\)
10005.j1	10005n1	10005.j	10005n	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3 \cdot 5^{3} \cdot 23^{5} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1$	$1$		$0$	$6720$	$0.787657$	$245973316796416/69995230125$	$[0, 1, 1, -1305, 12506]$	\(y^2+y=x^3+x^2-1305x+12506\)
10005.k1	10005d4	10005.k	10005d	$4$	$4$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{2} \cdot 5 \cdot 23 \cdot 29^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$6.375067733$	$1$		$2$	$7680$	$0.785313$	$18778886261717401/732035835$	$[1, 1, 0, -5537, 156294]$	\(y^2+xy=x^3+x^2-5537x+156294\)
10005.k2	10005d3	10005.k	10005d	$4$	$4$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{2} \cdot 5^{4} \cdot 23^{4} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$1.593766933$	$1$		$4$	$7680$	$0.785313$	$512787603508921/45649063125$	$[1, 1, 0, -1667, -24804]$	\(y^2+xy=x^3+x^2-1667x-24804\)
10005.k3	10005d2	10005.k	10005d	$4$	$4$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{4} \cdot 5^{2} \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$3.187533866$	$1$		$4$	$3840$	$0.438739$	$5268932332201/900900225$	$[1, 1, 0, -362, 2079]$	\(y^2+xy=x^3+x^2-362x+2079\)
10005.k4	10005d1	10005.k	10005d	$4$	$4$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( - 3^{8} \cdot 5 \cdot 23 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$6.375067733$	$1$		$1$	$1920$	$0.092165$	$8477185319/21880935$	$[1, 1, 0, 43, 216]$	\(y^2+xy=x^3+x^2+43x+216\)
10005.l1	10005g2	10005.l	10005g	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{6} \cdot 5^{8} \cdot 23^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2.668730558$	$1$		$2$	$66048$	$1.528225$	$157264717208387436361/4368589453125$	$[1, 1, 0, -112452, -14561001]$	\(y^2+xy=x^3+x^2-112452x-14561001\)
10005.l2	10005g1	10005.l	10005g	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( - 3^{12} \cdot 5^{4} \cdot 23 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$5.337461116$	$1$		$1$	$33024$	$1.181652$	$-33974761330806841/6424789539375$	$[1, 1, 0, -6747, -248544]$	\(y^2+xy=x^3+x^2-6747x-248544\)
10005.m1	10005j1	10005.m	10005j	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{3} \cdot 5^{2} \cdot 23 \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$1.420687301$	$1$		$3$	$1728$	$0.132029$	$5763259856089/450225$	$[1, 0, 1, -374, 2747]$	\(y^2+xy+y=x^3-374x+2747\)
10005.m2	10005j2	10005.m	10005j	$2$	$2$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( - 3^{6} \cdot 5 \cdot 23^{2} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$0.710343650$	$1$		$4$	$3456$	$0.478603$	$-4681768588489/1621620405$	$[1, 0, 1, -349, 3137]$	\(y^2+xy+y=x^3-349x+3137\)
10005.n1	10005c1	10005.n	10005c	$1$	$1$	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3 \cdot 5^{3} \cdot 23 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2.812690896$	$1$		$0$	$1440$	$-0.272238$	$481890304/250125$	$[0, -1, 1, -16, -3]$	\(y^2+y=x^3-x^2-16x-3\)
10008.a1	10008e1	10008.a	10008e	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{17} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3.075675533$	$1$		$2$	$101376$	$1.723433$	$-3439147732759876/24623433$	$[0, 0, 0, -285267, -58644610]$	\(y^2=x^3-285267x-58644610\)
10008.b1	10008g1	10008.b	10008g	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( - 2^{4} \cdot 3^{6} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.462889396$	$1$		$4$	$1344$	$-0.128860$	$2048/139$	$[0, 0, 0, 6, 61]$	\(y^2=x^3+6x+61\)
10008.c1	10008d1	10008.c	10008d	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( - 2^{4} \cdot 3^{8} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.760997245$	$1$		$4$	$2304$	$0.059486$	$702464/1251$	$[0, 0, 0, 42, -151]$	\(y^2=x^3+42x-151\)
10008.d1	10008c1	10008.d	10008c	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{6} \cdot 139 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.949564868$	$1$		$2$	$2048$	$0.227539$	$237276/139$	$[0, 0, 0, 117, 54]$	\(y^2=x^3+117x+54\)
10008.e1	10008a1	10008.e	10008a	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{9} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$3072$	$0.526424$	$-12194500/3753$	$[0, 0, 0, -435, -4322]$	\(y^2=x^3-435x-4322\)
10008.f1	10008f1	10008.f	10008f	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( 2^{10} \cdot 3^{9} \cdot 139 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$5.494918381$	$1$		$1$	$10752$	$0.939822$	$210094874500/3753$	$[0, 0, 0, -11235, -458354]$	\(y^2=x^3-11235x-458354\)
10008.f2	10008f2	10008.f	10008f	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( - 2^{11} \cdot 3^{12} \cdot 139^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$10.98983676$	$1$		$1$	$21504$	$1.286396$	$-95269531250/14085009$	$[0, 0, 0, -10875, -489098]$	\(y^2=x^3-10875x-489098\)
10008.g1	10008b1	10008.g	10008b	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( - 2^{8} \cdot 3^{8} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$3584$	$0.297168$	$-810448/1251$	$[0, 0, 0, -111, -862]$	\(y^2=x^3-111x-862\)
10008.h1	10008h1	10008.h	10008h	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 139 \)	\( - 2^{10} \cdot 3^{14} \cdot 139 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$26624$	$1.085367$	$-82013318212/911979$	$[0, 0, 0, -8211, 289118]$	\(y^2=x^3-8211x+289118\)
10010.a1	10010f4	10010.a	10010f	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{21} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1$	$1$		$0$	$1451520$	$3.240089$	$54497099771831721530744218729/16209843781074944000000$	$[1, 0, 1, -78985959, -270129426454]$	\(y^2+xy+y=x^3-78985959x-270129426454\)
10010.a2	10010f3	10010.a	10010f	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{42} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$1$	$1$		$1$	$725760$	$2.893513$	$19272683606216463573689449/7161126378530668544000$	$[1, 0, 1, -5585639, -3040342038]$	\(y^2+xy+y=x^3-5585639x-3040342038\)
10010.a3	10010f2	10010.a	10010f	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{7} \cdot 5^{2} \cdot 7^{3} \cdot 11^{12} \cdot 13^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$		$4$	$483840$	$2.690781$	$2019051077229077416165369/582160888682835862400$	$[1, 0, 1, -2633144, 1164731142]$	\(y^2+xy+y=x^3-2633144x+1164731142\)
10010.a4	10010f1	10010.a	10010f	$4$	$6$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 5 \cdot 7^{6} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$1$	$1$		$5$	$241920$	$2.344208$	$1555006827939811751684089/221961497899581440$	$[1, 0, 1, -2413624, 1442906886]$	\(y^2+xy+y=x^3-2413624x+1442906886\)
10010.b1	10010h2	10010.b	10010h	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 11^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$0.396355067$	$1$		$8$	$7680$	$0.534422$	$10942526586601/3464060600$	$[1, 0, 1, -463, 2538]$	\(y^2+xy+y=x^3-463x+2538\)
10010.b2	10010h1	10010.b	10010h	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$0.792710135$	$1$		$7$	$3840$	$0.187848$	$672451615081/24664640$	$[1, 0, 1, -183, -934]$	\(y^2+xy+y=x^3-183x-934\)