Elliptic curve search results

Results (30 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	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
1428.c1	1428a1	1428.c	1428a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 7^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$360$	$0.195342$	$265327034368/297381$	$1.02684$	$4.00285$	$[0, -1, 0, -337, -2270]$	\(y^2=x^3-x^2-337x-2270\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
4284.b1	4284e1	4284.b	4284e	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 7^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$2880$	$0.744648$	$265327034368/297381$	$1.02684$	$4.26522$	$[0, 0, 0, -3036, 64325]$	\(y^2=x^3-3036x+64325\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
5712.y1	5712v1	5712.y	5712v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 7^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$1440$	$0.195342$	$265327034368/297381$	$1.02684$	$3.36136$	$[0, 1, 0, -337, 2270]$	\(y^2=x^3+x^2-337x+2270\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
9996.l1	9996o1	9996.l	9996o	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 7^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$0.819115570$	$1$		$5$	$17280$	$1.168297$	$265327034368/297381$	$1.02684$	$4.42481$	$[0, 1, 0, -16529, 811656]$	\(y^2=x^3+x^2-16529x+811656\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(135, 1029)]$
17136.l1	17136bp1	17136.l	17136bp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 7^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1.234917781$	$1$		$3$	$11520$	$0.744648$	$265327034368/297381$	$1.02684$	$3.65871$	$[0, 0, 0, -3036, -64325]$	\(y^2=x^3-3036x-64325\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(173, 2142)]$
22848.k1	22848cc1	22848.k	22848cc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 7^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$0.613851805$	$1$		$7$	$11520$	$0.541915$	$265327034368/297381$	$1.02684$	$3.31144$	$[0, -1, 0, -1349, 19509]$	\(y^2=x^3-x^2-1349x+19509\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(4, 119)]$
22848.br1	22848v1	22848.br	22848v	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 7^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$11520$	$0.541915$	$265327034368/297381$	$1.02684$	$3.31144$	$[0, 1, 0, -1349, -19509]$	\(y^2=x^3+x^2-1349x-19509\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
24276.h1	24276k1	24276.h	24276k	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( 2^{4} \cdot 3 \cdot 7^{3} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$103680$	$1.611948$	$265327034368/297381$	$1.02684$	$4.56324$	$[0, 1, 0, -97489, -11737264]$	\(y^2=x^3+x^2-97489x-11737264\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
29988.bd1	29988bf1	29988.bd	29988bf	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 7^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$138240$	$1.717604$	$265327034368/297381$	$1.02684$	$4.59269$	$[0, 0, 0, -148764, -22063475]$	\(y^2=x^3-148764x-22063475\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
35700.br1	35700bi1	35700.br	35700bi	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$2.323551997$	$1$		$1$	$46080$	$1.000061$	$265327034368/297381$	$1.02684$	$3.69491$	$[0, 1, 0, -8433, -300612]$	\(y^2=x^3+x^2-8433x-300612\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(557/2, 8925/2)]$
39984.j1	39984cj1	39984.j	39984cj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 7^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$69120$	$1.168297$	$265327034368/297381$	$1.02684$	$3.84592$	$[0, -1, 0, -16529, -811656]$	\(y^2=x^3-x^2-16529x-811656\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
68544.dn1	68544bm1	68544.dn	68544bm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 7^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1.705195918$	$1$		$5$	$92160$	$1.091221$	$265327034368/297381$	$1.02684$	$3.57670$	$[0, 0, 0, -12144, 514600]$	\(y^2=x^3-12144x+514600\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(50, 180)]$
68544.ef1	68544es1	68544.ef	68544es	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 7^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$2.696672394$	$1$		$3$	$92160$	$1.091221$	$265327034368/297381$	$1.02684$	$3.57670$	$[0, 0, 0, -12144, -514600]$	\(y^2=x^3-12144x-514600\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(262, 3780)]$
72828.y1	72828w1	72828.y	72828w	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 7^{3} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$829440$	$2.161255$	$265327034368/297381$	$1.02684$	$4.70422$	$[0, 0, 0, -877404, 316028725]$	\(y^2=x^3-877404x+316028725\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
97104.h1	97104bl1	97104.h	97104bl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( 2^{4} \cdot 3 \cdot 7^{3} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$414720$	$1.611948$	$265327034368/297381$	$1.02684$	$4.01236$	$[0, -1, 0, -97489, 11737264]$	\(y^2=x^3-x^2-97489x+11737264\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
107100.cc1	107100bi1	107100.cc	107100bi	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$0.267023723$	$1$		$37$	$368640$	$1.549366$	$265327034368/297381$	$1.02684$	$3.91357$	$[0, 0, 0, -75900, 8040625]$	\(y^2=x^3-75900x+8040625\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(80, 1575), (170, 225)]$
119952.fp1	119952fa1	119952.fp	119952fa	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 7^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$552960$	$1.717604$	$265327034368/297381$	$1.02684$	$4.04827$	$[0, 0, 0, -148764, 22063475]$	\(y^2=x^3-148764x+22063475\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
142800.ba1	142800er1	142800.ba	142800er	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$2.257250913$	$1$		$3$	$184320$	$1.000061$	$265327034368/297381$	$1.02684$	$3.26336$	$[0, -1, 0, -8433, 300612]$	\(y^2=x^3-x^2-8433x+300612\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(32, 250)]$
159936.eb1	159936ka1	159936.eb	159936ka	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 7^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$2.929299183$	$1$		$1$	$552960$	$1.514870$	$265327034368/297381$	$1.02684$	$3.74805$	$[0, -1, 0, -66117, 6559365]$	\(y^2=x^3-x^2-66117x+6559365\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(1753/3, 27440/3)]$
159936.jr1	159936cc1	159936.jr	159936cc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 7^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$20.60761795$	$1$		$1$	$552960$	$1.514870$	$265327034368/297381$	$1.02684$	$3.74805$	$[0, 1, 0, -66117, -6559365]$	\(y^2=x^3+x^2-66117x-6559365\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(1425563099/1547, 47667515165460/1547)]$
169932.o1	169932bh1	169932.o	169932bh	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{4} \cdot 3 \cdot 7^{9} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$4.620977322$	$1$		$3$	$4976640$	$2.584904$	$265327034368/297381$	$1.02684$	$4.79539$	$[0, -1, 0, -4776977, 4016327610]$	\(y^2=x^3-x^2-4776977x+4016327610\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(142, 57800)]$
172788.p1	172788bf1	172788.p	172788bf	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 7^{3} \cdot 11^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$2.975943488$	$1$		$3$	$518400$	$1.394289$	$265327034368/297381$	$1.02684$	$3.60405$	$[0, -1, 0, -40817, 3184590]$	\(y^2=x^3-x^2-40817x+3184590\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(-158, 2380)]$
241332.f1	241332f1	241332.f	241332f	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 7^{3} \cdot 13^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$5.666199000$	$1$		$1$	$691200$	$1.477816$	$265327034368/297381$	$1.02684$	$3.58777$	$[0, -1, 0, -57009, -5215146]$	\(y^2=x^3-x^2-57009x-5215146\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(11545/4, 1160523/4)]$
249900.bl1	249900bl1	249900.bl	249900bl	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$4.346017945$	$1$		$1$	$2211840$	$1.973015$	$265327034368/297381$	$1.02684$	$4.05581$	$[0, -1, 0, -413233, 102283462]$	\(y^2=x^3-x^2-413233x+102283462\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(2213/2, 52275/2)]$
291312.en1	291312en1	291312.en	291312en	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 7^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$34.03135479$	$1$		$1$	$3317760$	$2.161255$	$265327034368/297381$	$1.02684$	$4.18591$	$[0, 0, 0, -877404, -316028725]$	\(y^2=x^3-877404x-316028725\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(-26696274605248375/6948787, 87493981773522692263660/6948787)]$
388416.dl1	388416dl1	388416.dl	388416dl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 3 \cdot 7^{3} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$3317760$	$1.958523$	$265327034368/297381$	$1.02684$	$3.90331$	$[0, -1, 0, -389957, -93508155]$	\(y^2=x^3-x^2-389957x-93508155\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$
388416.hh1	388416hh1	388416.hh	388416hh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( 2^{10} \cdot 3 \cdot 7^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$13.18556467$	$1$		$1$	$3317760$	$1.958523$	$265327034368/297381$	$1.02684$	$3.90331$	$[0, 1, 0, -389957, 93508155]$	\(y^2=x^3+x^2-389957x+93508155\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(1265715/41, 1039164180/41)]$
428400.di1	428400di1	428400.di	428400di	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$5.312289981$	$1$		$1$	$1474560$	$1.549366$	$265327034368/297381$	$1.02684$	$3.49520$	$[0, 0, 0, -75900, -8040625]$	\(y^2=x^3-75900x-8040625\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(3545/2, 199325/2)]$
479808.eg1	479808eg1	479808.eg	479808eg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 7^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$4.780465951$	$1$		$3$	$4423680$	$2.064175$	$265327034368/297381$	$1.02684$	$3.93718$	$[0, 0, 0, -595056, -176507800]$	\(y^2=x^3-595056x-176507800\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[(6734, 548800)]$
479808.eh1	479808eh1	479808.eh	479808eh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 7^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$4423680$	$2.064175$	$265327034368/297381$	$1.02684$	$3.93718$	$[0, 0, 0, -595056, 176507800]$	\(y^2=x^3-595056x+176507800\)	2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?	$[]$